{"id":8992,"date":"2017-04-27T22:07:18","date_gmt":"2017-04-27T22:07:18","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=8992"},"modified":"2020-07-02T05:42:53","modified_gmt":"2020-07-02T05:42:53","slug":"problem-set-whole-numbers","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/chapter\/problem-set-whole-numbers\/","title":{"raw":"Problem Set: Whole Numbers","rendered":"Problem Set: Whole Numbers"},"content":{"raw":"<h2>Introduction to Whole Number Basics<\/h2>\r\n<h3>Identify Counting Numbers and Whole Numbers<\/h3>\r\nIn the following exercises, determine which of the following numbers are a) counting numbers and b) whole numbers.\r\n<ol>\r\n \t<li>[latex]0,\\frac{2}{3},5,8.1,125[\/latex]\r\n[reveal-answer q=\"748311\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"748311\"]\r\na) Counting numbers: 5, 125\r\nb) Whole numbers: 0, 5, 125\r\n[\/hidden-answer]<\/li>\r\n \t<li>[latex]0,\\frac{7}{10},3,20.5,300[\/latex]<\/li>\r\n \t<li>[latex]0,\\frac{4}{9},3.9,50,221[\/latex]\r\n[reveal-answer q=\"22770\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"22770\"]\r\na) Counting numbers: 50, 221\r\nb) Whole numbers: 0, 50, 221\r\n[\/hidden-answer]<\/li>\r\n \t<li>[latex]0,\\frac{3}{5},10,303,422.6[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Model Whole Numbers<\/h3>\r\nIn the following exercises, use place value notation to find the value of the number modeled by the [latex]\\text{base -10}[\/latex] blocks.\r\n<h4>Exercise 1<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215303\/CNX_BMath_Figure_01_01_201_img.png\" alt=\"An image consisting of three items. The first item is five squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is six horizontal rods containing 10 blocks each. The third item is 1 individual block.\" \/>\r\n\r\n[reveal-answer q=\"795550\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"795550\"]561[\/hidden-answer]\r\n<h4>Exercise 2<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215305\/CNX_BMath_Figure_01_01_202_img.png\" alt=\"An image consisting of three items. The first item is three squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is eight horizontal rods containing 10 blocks each. The third item is 4 individual blocks.\" \/>\r\n<h4>Exercise 3<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215307\/CNX_BMath_Figure_01_01_203_img.png\" alt=\"An image consisting of two items. The first item is four squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is 7 individual blocks.\" \/>\r\n\r\n[reveal-answer q=\"271935\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"271935\"]407[\/hidden-answer]\r\n<h4>Exercises 4<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215309\/CNX_BMath_Figure_01_01_204_img.png\" alt=\"An image consisting of two items. The first item is six squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is 2 horizontal rods with 10 blocks each.\" \/>\r\n<h3>Identify the Place Value of a Digit<\/h3>\r\nIn the following exercises, find the place value of the given digits.\r\n<h4>Exercise 1<\/h4>\r\n[latex]579,601[\/latex]\r\n<ol id=\"eip-id1168289429789\" class=\"circled\">\r\n \t<li>9<\/li>\r\n \t<li>6<\/li>\r\n \t<li>0<\/li>\r\n \t<li>7<\/li>\r\n \t<li>5<\/li>\r\n<\/ol>\r\n[reveal-answer q=\"88572\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"88572\"]\r\n<ol>\r\n \t<li>thousands<\/li>\r\n \t<li>hundreds<\/li>\r\n \t<li>tens<\/li>\r\n \t<li>ten thousands<\/li>\r\n \t<li>hundred thousands<\/li>\r\n<\/ol>\r\n[\/hidden-answer]\r\n<h4>Exercise 2<\/h4>\r\n[latex]398,127[\/latex]\r\n<ol id=\"eip-id1168287380517\" class=\"circled\">\r\n \t<li>9<\/li>\r\n \t<li>3<\/li>\r\n \t<li>2<\/li>\r\n \t<li>8<\/li>\r\n \t<li>7<\/li>\r\n<\/ol>\r\n<h4>Exercise 3<\/h4>\r\n[latex]56,804,379[\/latex]\r\n<ol id=\"eip-id1168288321948\" class=\"circled\">\r\n \t<li>8<\/li>\r\n \t<li>6<\/li>\r\n \t<li>4<\/li>\r\n \t<li>7<\/li>\r\n \t<li>0<\/li>\r\n<\/ol>\r\n[reveal-answer q=\"504917\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"504917\"]\r\n<ol>\r\n \t<li>hundred thousands<\/li>\r\n \t<li>millions<\/li>\r\n \t<li>thousands<\/li>\r\n \t<li>tens<\/li>\r\n \t<li>ten thousands<\/li>\r\n<\/ol>\r\n[\/hidden-answer]\r\n<h4>Exercise 4<\/h4>\r\n[latex]78,320,465[\/latex]\r\n<ol id=\"eip-id1168288227448\" class=\"circled\">\r\n \t<li>8<\/li>\r\n \t<li>4<\/li>\r\n \t<li>2<\/li>\r\n \t<li>6<\/li>\r\n \t<li>7<\/li>\r\n<\/ol>\r\n<h3>Use Place Value to Name Whole Numbers<\/h3>\r\nIn the following exercises, name each number in words.\r\n<h4>Exercise 1<\/h4>\r\n<ol>\r\n \t<li>[latex]1,078[\/latex][reveal-answer q=\"959604\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"959604\"]One thousand, seventy-eight[\/hidden-answer]<\/li>\r\n \t<li>[latex]5,902[\/latex]<\/li>\r\n \t<li>[latex]364,510[\/latex][reveal-answer q=\"37786\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"37786\"]Three hundred sixty-four thousand, five hundred ten[\/hidden-answer]<\/li>\r\n \t<li>[latex]146,023[\/latex]<\/li>\r\n \t<li>[latex]5,846,103[\/latex][reveal-answer q=\"68656\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"68656\"]Five million, eight hundred forty-six thousand, one hundred three[\/hidden-answer]<\/li>\r\n \t<li>[latex]1,458,398[\/latex]<\/li>\r\n \t<li>[latex]37,889,005[\/latex][reveal-answer q=\"585894\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"585894\"]Thirty-seven million, eight hundred eighty-nine thousand, five[\/hidden-answer]<\/li>\r\n \t<li>[latex]62,008,465[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Exercise 2<\/h4>\r\n<ol>\r\n \t<li>The height of Mount Ranier is [latex]14,410[\/latex] feet.[reveal-answer q=\"134524\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"134524\"]Fourteen thousand, four hundred ten[\/hidden-answer]<\/li>\r\n \t<li>The height of Mount Adams is [latex]12,276[\/latex] feet.<\/li>\r\n \t<li>Seventy years is [latex]613,200[\/latex] hours.[reveal-answer q=\"65477\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"65477\"]Six hundred thirteen thousand, two hundred[\/hidden-answer]<\/li>\r\n \t<li>One year is [latex]525,600[\/latex] minutes.<\/li>\r\n \t<li>The U.S. Census estimate of the population of Miami-Dade county was [latex]2,617,176[\/latex].[reveal-answer q=\"998783\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"998783\"]Two million, six hundred seventeen thousand, one hundred seventy-six[\/hidden-answer]<\/li>\r\n \t<li>The population of Chicago was [latex]2,718,782[\/latex].<\/li>\r\n \t<li>There are projected to be [latex]23,867,000[\/latex] college and university students in the US in five years.[reveal-answer q=\"49064\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"49064\"]Twenty-three million, eight hundred sixty-seven thousand[\/hidden-answer]<\/li>\r\n \t<li>About twelve years ago there were [latex]20,665,415[\/latex] registered automobiles in California.<\/li>\r\n \t<li>The population of China is expected to reach [latex]1,377,583,156[\/latex] in [latex]2016[\/latex].[reveal-answer q=\"966528\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"966528\"]One billion, three hundred seventy-seven million, five hundred eighty-three thousand, one hundred fifty-six[\/hidden-answer]<\/li>\r\n \t<li>The population of India is estimated at [latex]1,267,401,849[\/latex] as of July [latex]1,2014[\/latex].<\/li>\r\n<\/ol>\r\n<h3>Use Place Value to Write Whole Numbers<\/h3>\r\nIn the following exercises, write each number as a whole number using digits.\r\n<ol>\r\n \t<li>four hundred twelve[reveal-answer q=\"466512\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"466512\"]412[\/hidden-answer]<\/li>\r\n \t<li>two hundred fifty-three<\/li>\r\n \t<li>thirty-five thousand, nine hundred seventy-five[reveal-answer q=\"723592\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"723592\"]35,975[\/hidden-answer]<\/li>\r\n \t<li>sixty-one thousand, four hundred fifteen<\/li>\r\n \t<li>eleven million, forty-four thousand, one hundred sixty-seven[reveal-answer q=\"124220\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"124220\"]11,044,167[\/hidden-answer]<\/li>\r\n \t<li>eighteen million, one hundred two thousand, seven hundred eighty-three<\/li>\r\n \t<li>three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen[reveal-answer q=\"484877\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"484877\"]3,226,512,017[\/hidden-answer]<\/li>\r\n \t<li>eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six<\/li>\r\n \t<li>The population of the world was estimated to be seven billion, one hundred seventy-three million people.[reveal-answer q=\"987257\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"987257\"]7,173,000,000[\/hidden-answer]<\/li>\r\n \t<li>The age of the solar system is estimated to be four billion, five hundred sixty-eight million years.<\/li>\r\n \t<li>Lake Tahoe has a capacity of thirty-nine trillion gallons of water.[reveal-answer q=\"304289\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"304289\"]39,000,000,000,000[\/hidden-answer]<\/li>\r\n \t<li>The federal government budget was three trillion, five hundred billion dollars.<\/li>\r\n<\/ol>\r\n<h3>Round Whole Numbers<\/h3>\r\nIn the following exercises, round to the indicated place value.\r\n\r\nRound to the nearest ten:\r\n<ol>\r\n \t<li>[latex]386[\/latex][reveal-answer q=\"37556\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"37556\"]390[\/hidden-answer]<\/li>\r\n \t<li>[latex]2,931[\/latex][reveal-answer q=\"160735\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"160735\"]2,930[\/hidden-answer]<\/li>\r\n<\/ol>\r\nRound to the nearest ten:\r\n<ol>\r\n \t<li>[latex]792[\/latex][reveal-answer q=\"516302\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"516302\"]790[\/hidden-answer]<\/li>\r\n \t<li>[latex]5,647[\/latex][reveal-answer q=\"827604\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"827604\"]5,650[\/hidden-answer]<\/li>\r\n<\/ol>\r\nRound to the nearest hundred:\r\n<ol>\r\n \t<li>[latex]13,748[\/latex][reveal-answer q=\"235663\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"235663\"]13,700[\/hidden-answer]<\/li>\r\n \t<li>[latex]391,794[\/latex][reveal-answer q=\"518309\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"518309\"]391,800[\/hidden-answer]<\/li>\r\n<\/ol>\r\nRound to the nearest hundred:\r\n<ol>\r\n \t<li>[latex]28,166[\/latex][reveal-answer q=\"631143\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"631143\"]28,200[\/hidden-answer]<\/li>\r\n \t<li>[latex]481,628[\/latex][reveal-answer q=\"954265\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"954265\"]481,700[\/hidden-answer]<\/li>\r\n<\/ol>\r\nRound to the nearest ten:\r\n<ol>\r\n \t<li>[latex]1,492[\/latex][reveal-answer q=\"625392\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"625392\"]1,490[\/hidden-answer]<\/li>\r\n \t<li>[latex]1,497[\/latex][reveal-answer q=\"438795\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"438795\"]1,500[\/hidden-answer]<\/li>\r\n<\/ol>\r\nRound to the nearest thousand:\r\n<ol>\r\n \t<li>[latex]2,391[\/latex][reveal-answer q=\"24707\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"24707\"]2,000[\/hidden-answer]<\/li>\r\n \t<li>[latex]2,795[\/latex][reveal-answer q=\"645575\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"645575\"]3,000[\/hidden-answer]<\/li>\r\n<\/ol>\r\nRound to the nearest hundred:\r\n<ol>\r\n \t<li>[latex]63,994[\/latex][reveal-answer q=\"231300\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"231300\"][latex]64,000[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]63,949[\/latex][reveal-answer q=\"994544\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"994544\"][latex]63,900[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\nRound to the nearest thousand:\r\n<ol>\r\n \t<li>[latex]163,584[\/latex][reveal-answer q=\"485968\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"485968\"]164,000[\/hidden-answer]<\/li>\r\n \t<li>[latex]163,246[\/latex][reveal-answer q=\"310962\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"310962\"]163,000[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<div class=\"textbox exercises\">\r\n<h3>Everyday Math<\/h3>\r\n<h4>Writing a Check<\/h4>\r\nJorge bought a car for [latex]\\$24,493[\/latex]. He paid for the car with a check. Write the purchase price in words.\r\n\r\n[reveal-answer q=\"339555\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"339555\"]Twenty four thousand, four hundred ninety-three dollars[\/hidden-answer]\r\n<h4>Writing a Check<\/h4>\r\nMarissa\u2019s kitchen remodeling cost [latex]\\$18,549[\/latex]. She wrote a check to the contractor. Write the amount paid in words.\r\n<h4>Buying a Car<\/h4>\r\nJorge bought a car for [latex]\\$24,493[\/latex]. Round the price to the nearest:\r\n<ol id=\"eip-id1168288191463\" class=\"circled\">\r\n \t<li>ten dollars<\/li>\r\n \t<li>hundred dollars<\/li>\r\n \t<li>thousand dollars<\/li>\r\n \t<li>ten-thousand dollars<\/li>\r\n<\/ol>\r\n[reveal-answer q=\"947795\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"947795\"]\r\n<ol>\r\n \t<li>$24,490<\/li>\r\n \t<li>$24,500<\/li>\r\n \t<li>$24,000<\/li>\r\n \t<li>$20,000<\/li>\r\n<\/ol>\r\n[\/hidden-answer]\r\n<h4>Remodeling a Kitchen<\/h4>\r\nMarissa\u2019s kitchen remodeling cost [latex]\\$18,549[\/latex]. Round the cost to the nearest:\r\n<ol id=\"eip-id1168287387980\" class=\"circled\">\r\n \t<li>ten dollars<\/li>\r\n \t<li>hundred dollars<\/li>\r\n \t<li>thousand dollars<\/li>\r\n \t<li>ten-thousand dollars<\/li>\r\n<\/ol>\r\n<h4>Population<\/h4>\r\nThe population of China was [latex]1,355,692,544[\/latex] in 2014. Round the population to the nearest:\r\n<ol id=\"eip-id1168289677973\" class=\"circled\">\r\n \t<li>billion people<\/li>\r\n \t<li>hundred-million people<\/li>\r\n \t<li>million people<\/li>\r\n<\/ol>\r\n[reveal-answer q=\"266738\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"266738\"]\r\n<ol>\r\n \t<li>[latex]1,000,000,000[\/latex]<\/li>\r\n \t<li>[latex]1,400,000,000[\/latex]<\/li>\r\n \t<li>[latex]1,356,000,000[\/latex]<\/li>\r\n<\/ol>\r\n[\/hidden-answer]\r\n<h4>Astronomy<\/h4>\r\nThe average distance between Earth and the sun is [latex]149,597,888[\/latex] kilometers. Round the distance to the nearest:\r\n<ol id=\"eip-id1168288211528\" class=\"circled\">\r\n \t<li>hundred-million kilometers<\/li>\r\n \t<li>ten-million kilometers<\/li>\r\n \t<li>million kilometers<\/li>\r\n<\/ol>\r\n<\/div>\r\n<div class=\"textbox learning-objectives\">\r\n<h3>Writing Exercises<\/h3>\r\nIn your own words, explain the difference between the counting numbers and the whole numbers.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n[reveal-answer q=\"985096\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"985096\"]Answers may vary. The whole numbers are the counting numbers with the inclusion of zero.[\/hidden-answer]\r\n\r\nGive an example from your everyday life where it helps to round numbers.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n<h2>Adding Whole Numbers<\/h2>\r\n<h3>Use Addition Notation<\/h3>\r\nIn the following exercises, translate the following from math expressions to words.\r\n<ol>\r\n \t<li>[latex]5+2[\/latex][reveal-answer q=\"166245\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"166245\"]five plus two; the sum of 5 and 2.[\/hidden-answer]<\/li>\r\n \t<li>[latex]6+3[\/latex]<\/li>\r\n \t<li>[latex]13+18[\/latex][reveal-answer q=\"999074\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"999074\"]thirteen plus eighteen; the sum of 13 and 18.[\/hidden-answer]<\/li>\r\n \t<li>[latex]15+16[\/latex]<\/li>\r\n \t<li>[latex]214+642[\/latex][reveal-answer q=\"941679\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"941679\"]two hundred fourteen plus six hundred forty-two; the sum of 214 and 642[\/hidden-answer]<\/li>\r\n \t<li>[latex]438+113[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Model Addition of Whole Numbers<\/h3>\r\nIn the following exercises, model the addition.\r\n<ol>\r\n \t<li>[latex]2+4[\/latex][reveal-answer q=\"955375\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"955375\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215345\/CNX_BMath_Figure_01_02_201_img.png\" alt=\"No Alt Text\" \/>\r\n[latex]2+4=6[\/latex]\r\n[\/hidden-answer]<\/li>\r\n \t<li>[latex]5+3[\/latex]<\/li>\r\n \t<li>[latex]8+4[\/latex][reveal-answer q=\"842316\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"842316\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215346\/CNX_BMath_Figure_01_02_203_img.png\" alt=\"No Alt Text\" \/>\r\n[latex]8+4=12[\/latex]\r\n[\/hidden-answer]<\/li>\r\n \t<li>[latex]5+9[\/latex]<\/li>\r\n \t<li>[latex]14+75[\/latex]\r\n[reveal-answer q=\"793653\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"793653\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215347\/CNX_BMath_Figure_01_02_205_img.png\" alt=\"No Alt Text\" \/>\r\n[latex]14+75=89[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]15+63[\/latex]<\/li>\r\n \t<li>[latex]16+25[\/latex][reveal-answer q=\"484827\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"484827\"]\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215348\/CNX_BMath_Figure_01_02_207_img.png\" alt=\"No Alt Text\" \/>\r\n[latex]16+25=41[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]14+27[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Add Whole Numbers<\/h3>\r\nIn the following exercises, fill in the missing values in each chart.\r\n<h4>Exercise 1<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215350\/CNX_BMath_Figure_01_02_216.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values \" \/>\r\n\r\n[reveal-answer q=\"381346\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"381346\"]\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215352\/CNX_BMath_Figure_01_02_217.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]\r\n<h4>Exercise 2<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215353\/CNX_BMath_Figure_01_02_218.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values \" \/>\r\n<h4>Exercises 3<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215355\/CNX_BMath_Figure_01_02_220.png\" alt=\"An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \" \/>\r\n\r\n[reveal-answer q=\"18856\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"18856\"]\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215356\/CNX_BMath_Figure_01_02_221.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]\r\n<h4>Exercise 4<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215358\/CNX_BMath_Figure_01_02_222.png\" alt=\"An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values \" \/>\r\n<h4>Exercise 5<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215359\/CNX_BMath_Figure_01_02_224.png\" alt=\"An image of a table with 6 columns and 6 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values \" \/>\r\n\r\n[reveal-answer q=\"922304\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"922304\"]\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215400\/CNX_BMath_Figure_01_02_225.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]\r\n<h4>Exercise 6<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215401\/CNX_BMath_Figure_01_02_226.png\" alt=\"An image of a table with 5 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or first column are all null. The first row has the values \" \/>\r\n<h3>Add Whole Numbers<\/h3>\r\nIn the following exercises, add.\r\n<ol>\r\n \t<li>[latex]0+13[\/latex][reveal-answer q=\"199726\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"199726\"]13[\/hidden-answer]<\/li>\r\n \t<li>[latex]13+0[\/latex][reveal-answer q=\"20445\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"20445\"]13[\/hidden-answer]<\/li>\r\n \t<li>[latex]0+5,280[\/latex]<\/li>\r\n \t<li>[latex]5,280+0[\/latex]<\/li>\r\n \t<li>[latex]8+3[\/latex][reveal-answer q=\"878054\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"878054\"]11[\/hidden-answer]<\/li>\r\n \t<li>[latex]3+8[\/latex][reveal-answer q=\"224076\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"224076\"]11[\/hidden-answer]<\/li>\r\n \t<li>[latex]7+5[\/latex]<\/li>\r\n \t<li>[latex]5+7[\/latex]<\/li>\r\n \t<li>[latex]45+33[\/latex][reveal-answer q=\"681619\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"681619\"][latex]78[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]37+22[\/latex]<\/li>\r\n \t<li>[latex]71+28[\/latex][reveal-answer q=\"681715\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"681715\"][latex]99[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]43+53[\/latex]<\/li>\r\n \t<li>[latex]26+59[\/latex][reveal-answer q=\"71616\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"71616\"][latex]85[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]38+17[\/latex]<\/li>\r\n \t<li>[latex]64+78[\/latex][reveal-answer q=\"45926\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"45926\"][latex]142[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]92+39[\/latex]<\/li>\r\n \t<li>[latex]168+325[\/latex][reveal-answer q=\"92292\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"92292\"][latex]493[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]247+149[\/latex]<\/li>\r\n \t<li>[latex]584+277[\/latex][reveal-answer q=\"234000\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"234000\"][latex]861[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]175+648[\/latex]<\/li>\r\n \t<li>[latex]832+199[\/latex][reveal-answer q=\"508858\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"508858\"][latex]1,031[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]775+369[\/latex]<\/li>\r\n \t<li>[latex]6,358+492[\/latex][reveal-answer q=\"717055\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"717055\"][latex]6,850[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]9,184+578[\/latex]<\/li>\r\n \t<li>[latex]3,740+18,593[\/latex][reveal-answer q=\"92383\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"92383\"][latex]22,333[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]6,118+15,990[\/latex]<\/li>\r\n \t<li>[latex]485,012+619,848[\/latex][reveal-answer q=\"232592\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"232592\"][latex]1,104,860[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]368,911+857,289[\/latex]<\/li>\r\n \t<li>[latex]24,731+592+3,868[\/latex][reveal-answer q=\"758935\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"758935\"][latex]29,191[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]28,925+817+4,593[\/latex]<\/li>\r\n \t<li>[latex]8,015+76,946+16,570[\/latex][reveal-answer q=\"324913\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"324913\"][latex]101,531[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]6,291+54,107+28,635[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Translate Word Phrases to Math Notation<\/h3>\r\nIn the following exercises, translate each phrase into math notation and then simplify.\r\n<ol>\r\n \t<li>the sum of [latex]13[\/latex] and [latex]18[\/latex][reveal-answer q=\"917194\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"917194\"][latex]13+18=31[\/latex][\/hidden-answer]<\/li>\r\n \t<li>the sum of [latex]12[\/latex] and [latex]19[\/latex]<\/li>\r\n \t<li>the sum of [latex]90[\/latex] and [latex]65[\/latex][reveal-answer q=\"942571\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"942571\"][latex]90+65=155[\/latex][\/hidden-answer]<\/li>\r\n \t<li>the sum of [latex]70[\/latex] and [latex]38[\/latex]<\/li>\r\n \t<li>[latex]33[\/latex] increased by [latex]49[\/latex][reveal-answer q=\"540539\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"540539\"][latex]33+49=82[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]68[\/latex] increased by [latex]25[\/latex]<\/li>\r\n \t<li>[latex]250[\/latex] more than [latex]599[\/latex][reveal-answer q=\"122368\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"122368\"][latex]250+599=849[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]115[\/latex] more than [latex]286[\/latex]<\/li>\r\n \t<li>the total of [latex]628[\/latex] and [latex]77[\/latex][reveal-answer q=\"424587\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"424587\"][latex]628+77=705[\/latex][\/hidden-answer]<\/li>\r\n \t<li>the total of [latex]593[\/latex] and [latex]79[\/latex]<\/li>\r\n \t<li>[latex]1,482[\/latex] added to [latex]915[\/latex][reveal-answer q=\"683275\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"683275\"][latex]915+1,482=2,397[\/latex][\/hidden-answer]<\/li>\r\n \t<li>[latex]2,719[\/latex] added to [latex]682[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Add Whole Numbers in Applications<\/h3>\r\nIn the following exercises, solve the problem.\r\n<h4>Home remodeling<\/h4>\r\nSophia remodeled her kitchen and bought a new range, microwave, and dishwasher. The range cost [latex]\\$1,100[\/latex], the microwave cost [latex]\\$250[\/latex], and the dishwasher cost [latex]\\$525[\/latex]. What was the total cost of these three appliances?\r\n\r\n[reveal-answer q=\"184655\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"184655\"]The total cost was $1,875.[\/hidden-answer]\r\n<h4>Sports equipment<\/h4>\r\nAiden bought a baseball bat, helmet, and glove. The bat cost [latex]\\$299[\/latex], the helmet cost [latex]\\$35[\/latex], and the glove cost [latex]\\$68[\/latex]. What was the total cost of Aiden\u2019s sports equipment?\r\n<h4>Bike riding<\/h4>\r\nEthan rode his bike [latex]14[\/latex] miles on Monday, [latex]19[\/latex] miles on Tuesday, [latex]12[\/latex] miles on Wednesday, [latex]25[\/latex] miles on Friday, and [latex]68[\/latex] miles on Saturday. What was the total number of miles Ethan rode?\r\n\r\n[reveal-answer q=\"10310\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"10310\"]Ethan rode 138 miles.[\/hidden-answer]\r\n<h4>Business<\/h4>\r\nChloe has a flower shop. Last week she made [latex]19[\/latex] floral arrangements on Monday, [latex]12[\/latex] on Tuesday, [latex]23[\/latex] on Wednesday, [latex]29[\/latex] on Thursday, and [latex]44[\/latex] on Friday. What was the total number of floral arrangements Chloe made?\r\n<h4>Apartment size<\/h4>\r\nJackson lives in a 7 room apartment. The number of square feet in each room is [latex]238,120,156,196,100,132[\/latex], and [latex]225[\/latex]. What is the total number of square feet in all [latex]7[\/latex] rooms?\r\n\r\n[reveal-answer q=\"434171\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"434171\"]The total square footage in the rooms is 1,167 square feet.[\/hidden-answer]\r\n<h4>Weight<\/h4>\r\nSeven men rented a fishing boat. The weights of the men were [latex]175,192,148,169,205,181[\/latex], and [latex]\\text{225}[\/latex] pounds. What was the total weight of the seven men?\r\n<h4>Salary<\/h4>\r\nLast year Natalie\u2019s salary was [latex]\\$82,572[\/latex]. Two years ago, her salary was [latex]\\$79,316[\/latex], and three years ago it was [latex]\\$75,298[\/latex]. What is the total amount of Natalie\u2019s salary for the past three years?\r\n\r\n[reveal-answer q=\"238039\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"238039\"]Natalie\u2019s total salary is $237,186.[\/hidden-answer]\r\n<h4>Home sales<\/h4>\r\nEmma is a realtor. Last month, she sold three houses. The selling prices of the houses were [latex]\\$292,540,\\$505,875[\/latex], and [latex]\\$423,699[\/latex]. What was the total of the three selling prices?\r\n<h3>Finding Perimeter<\/h3>\r\nIn the following exercises, find the perimeter of each figure.\r\n<h4>Exercise 1<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215402\/CNX_BMath_Figure_01_02_208_img.png\" alt=\"An image of a triangle with side lengths of 14 inches, 12 inches, and 18 inches.\" \/>\r\n\r\n[reveal-answer q=\"409946\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"409946\"]The perimeter of the figure is 44 inches.[\/hidden-answer]\r\n<h4>Exercise 2<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215403\/CNX_BMath_Figure_01_02_209_img.png\" alt=\"An image of a right triangle with base of 12 centimeters, height of 5 centimeters, and diagonal hypotenuse of 13 centimeters.\" \/>\r\n<h4>Exercise 3<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215404\/CNX_BMath_Figure_01_02_210_img.png\" alt=\"A rectangle 21 meters wide and 7 meters tall.\" \/>\r\n\r\n[reveal-answer q=\"20827\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"20827\"]The perimeter of the figure is 56 meters.[\/hidden-answer]\r\n<h4>Exercise 4<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215406\/CNX_BMath_Figure_01_02_211_img.png\" alt=\"A rectangle 19 feet wide and and 14 feet tall.\" \/>\r\n<h4>Exercise 5<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215407\/CNX_BMath_Figure_01_02_212_img.png\" alt=\"A trapezoid with horizontal top length of 19 yards, the side lengths are 18 yards and are diagonal, and the horizontal bottom length is 16 yards.\" \/>\r\n\r\n[reveal-answer q=\"213837\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"213837\"]The perimeter of the figure is 71 yards.[\/hidden-answer]\r\n<h4>Exercise 6<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215408\/CNX_BMath_Figure_01_02_213_img.png\" alt=\"A trapezoid with horizontal top length of 24 meters, the side lengths are 17 meters and are diagonal, and the horizontal bottom length is 29 meters.\" \/>\r\n<h4>Exercise 7<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215410\/CNX_BMath_Figure_01_02_214_img.png\" alt=\"This is a rectangle-like image with six sides. Starting from the top left of the figure, the first line runs right for 24 feet. From the end of this line, the second line runs down for 7 feet. Then the third line runs left from this point for 19 feet. The fourth line runs up 3 feet. The fifth line runs left for 5 feet. The sixth line runs up for 4 feet, connecting it at a corner with start of the first line.\" \/>\r\n\r\n[reveal-answer q=\"501974\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"501974\"]The perimeter of the figure is 62 feet.[\/hidden-answer]\r\n<h4>Exercise 8<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215411\/CNX_BMath_Figure_01_02_215_img.png\" alt=\"This is an image with 6 straight sides. Starting from the top left of the figure, the first line runs right for 25 inches. From the end of this line, the second line runs down for 10 inches. Then the third line runs left from this point for 14 inches. The fourth line runs up 7 inches. The fifth line runs left for 11 inches. The sixth line runs up, connecting it at a corner with start of the first line.\" \/>\r\n<div class=\"textbox exercises\">\r\n<h3>Everyday Math<\/h3>\r\n<h4>Calories<\/h4>\r\nPaulette had a grilled chicken salad, ranch dressing, and a [latex]\\text{16-ounce}[\/latex] drink for lunch. On the restaurant\u2019s nutrition chart, she saw that each item had the following number of calories:\r\n<ul>\r\n \t<li>Grilled chicken salad \u2013 [latex]320[\/latex] calories<\/li>\r\n \t<li>Ranch dressing \u2013 [latex]170[\/latex] calories<\/li>\r\n \t<li>[latex]\\text{16-ounce}[\/latex] drink \u2013 [latex]150[\/latex] calories<\/li>\r\n<\/ul>\r\nWhat was the total number of calories of Paulette\u2019s lunch?\r\n\r\n[reveal-answer q=\"460729\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"460729\"]The total number of calories was 640.[\/hidden-answer]\r\n<h4>Calories<\/h4>\r\nFred had a grilled chicken sandwich, a small order of fries, and a [latex]\\text{12-oz}[\/latex] chocolate shake for dinner. The restaurant\u2019s nutrition chart lists the following calories for each item:\r\n<ul>\r\n \t<li>Grilled chicken sandwich \u2013 [latex]420[\/latex] calories<\/li>\r\n \t<li>Small fries \u2013 [latex]230[\/latex] calories<\/li>\r\n \t<li>[latex]\\text{12-oz}[\/latex] chocolate shake \u2013 [latex]580[\/latex] calories<\/li>\r\n<\/ul>\r\nWhat was the total number of calories of Fred\u2019s dinner?\r\n<h4>Test scores<\/h4>\r\nA students needs a total of [latex]400[\/latex] points on five tests to pass a course. The student scored [latex]82,91,75,88,\\text{and}70[\/latex]. Did the student pass the course?\r\n\r\n[reveal-answer q=\"490817\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"490817\"]Yes, he scored 406 points.[\/hidden-answer]\r\n<h4>Elevators<\/h4>\r\nThe maximum weight capacity of an elevator is [latex]1150[\/latex] pounds. Six men are in the elevator. Their weights are 210, 145, 183, 230, 159, and 164 pounds. Is the total weight below the elevators\u2019 maximum capacity?\r\n\r\n<\/div>\r\n<div class=\"textbox learning-objectives\">\r\n<h3>Writing Exercises<\/h3>\r\nHow confident do you feel about your knowledge of the addition facts? If you are not fully confident, what will you do to improve your skills?\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\nHow have you used models to help you learn the addition facts?\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n<h2>Subtracting Whole Numbers<\/h2>\r\n<h3>Use Subtraction Notation<\/h3>\r\nIn the following exercises, translate from math notation to words.\r\n<ol>\r\n \t<li>[latex]15 - 9[\/latex][reveal-answer q=\"907003\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"907003\"]fifteen minus nine; the difference of fifteen and nine[\/hidden-answer]<\/li>\r\n \t<li>[latex]18 - 16[\/latex]<\/li>\r\n \t<li>[latex]42 - 35[\/latex][reveal-answer q=\"438000\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"438000\"]forty-two minus thirty-five; the difference of forty-two and thirty-five[\/hidden-answer]<\/li>\r\n \t<li>[latex]83 - 64[\/latex]<\/li>\r\n \t<li>[latex]675 - 350[\/latex][reveal-answer q=\"658915\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"658915\"]hundred seventy-five minus three hundred fifty; the difference of six hundred seventy-five and three hundred fifty[\/hidden-answer]<\/li>\r\n \t<li>[latex]790 - 525[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Model Subtraction of Whole Numbers<\/h3>\r\nIn the following exercises, model the subtraction.\r\n<ol>\r\n \t<li>[latex]5 - 2[\/latex][reveal-answer q=\"500881\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"500881\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215508\/CNX_BMath_Figure_01_03_201_img.png\" alt=\"No Alt Text\" \/> [\/hidden-answer]<\/li>\r\n \t<li>[latex]8 - 4[\/latex]<\/li>\r\n \t<li>[latex]6 - 3[\/latex][reveal-answer q=\"954065\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"954065\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215509\/CNX_BMath_Figure_01_03_203_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>[latex]7 - 5[\/latex]<\/li>\r\n \t<li>[latex]18 - 5[\/latex][reveal-answer q=\"72584\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"72584\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215510\/CNX_BMath_Figure_01_03_205_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>[latex]19 - 8[\/latex]<\/li>\r\n \t<li>[latex]17 - 8[\/latex][reveal-answer q=\"291800\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"291800\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215511\/CNX_BMath_Figure_01_03_207_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>[latex]17 - 9[\/latex]<\/li>\r\n \t<li>[latex]35 - 13[\/latex][reveal-answer q=\"50122\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"50122\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215513\/CNX_BMath_Figure_01_03_209_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>[latex]32 - 11[\/latex]<\/li>\r\n \t<li>[latex]61 - 47[\/latex][reveal-answer q=\"106018\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"106018\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215514\/CNX_BMath_Figure_01_03_211_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>[latex]55 - 36[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Subtract Whole Numbers<\/h3>\r\nIn the following exercises, subtract and then check by adding.\r\n<ol>\r\n \t<li>[latex]9 - 4[\/latex][reveal-answer q=\"844854\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"844854\"]5[\/hidden-answer]<\/li>\r\n \t<li>[latex]9 - 3[\/latex]<\/li>\r\n \t<li>[latex]8 - 0[\/latex][reveal-answer q=\"646007\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"646007\"]8[\/hidden-answer]<\/li>\r\n \t<li>[latex]2 - 0[\/latex]<\/li>\r\n \t<li>[latex]38 - 16[\/latex][reveal-answer q=\"680896\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"680896\"]22[\/hidden-answer]<\/li>\r\n \t<li>[latex]45 - 21[\/latex]<\/li>\r\n \t<li>[latex]85 - 52[\/latex][reveal-answer q=\"962490\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"962490\"]33[\/hidden-answer]<\/li>\r\n \t<li>[latex]99 - 47[\/latex]<\/li>\r\n \t<li>[latex]493 - 370[\/latex][reveal-answer q=\"240556\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"240556\"]123[\/hidden-answer]<\/li>\r\n \t<li>[latex]268 - 106[\/latex]<\/li>\r\n \t<li>[latex]5,946 - 4,625[\/latex][reveal-answer q=\"541300\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"541300\"]1,321[\/hidden-answer]<\/li>\r\n \t<li>[latex]7,775 - 3,251[\/latex]<\/li>\r\n \t<li>[latex]75 - 47[\/latex][reveal-answer q=\"999016\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"999016\"]28[\/hidden-answer]<\/li>\r\n \t<li>[latex]63 - 59[\/latex]<\/li>\r\n \t<li>[latex]461 - 239[\/latex][reveal-answer q=\"576255\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"576255\"]222[\/hidden-answer]<\/li>\r\n \t<li>[latex]486 - 257[\/latex]<\/li>\r\n \t<li>[latex]525 - 179[\/latex][reveal-answer q=\"885870\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"885870\"]346[\/hidden-answer]<\/li>\r\n \t<li>[latex]542 - 288[\/latex]<\/li>\r\n \t<li>[latex]6,318 - 2,799[\/latex][reveal-answer q=\"581346\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"581346\"]3,519[\/hidden-answer]<\/li>\r\n \t<li>[latex]8,153 - 3,978[\/latex]<\/li>\r\n \t<li>[latex]2,150 - 964[\/latex][reveal-answer q=\"329382\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"329382\"]1,186[\/hidden-answer]<\/li>\r\n \t<li>[latex]4,245 - 899[\/latex]<\/li>\r\n \t<li>[latex]43,650 - 8,982[\/latex][reveal-answer q=\"89751\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"89751\"]34,668[\/hidden-answer]<\/li>\r\n \t<li>[latex]35,162 - 7,885[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Translate Word Phrases to Algebraic Expressions<\/h3>\r\nIn the following exercises, translate and simplify.\r\n<ol>\r\n \t<li>The difference of [latex]10[\/latex] and [latex]3[\/latex][reveal-answer q=\"406332\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"406332\"]10 \u2212 3; 7[\/hidden-answer]<\/li>\r\n \t<li>The difference of [latex]12[\/latex] and [latex]8[\/latex]<\/li>\r\n \t<li>The difference of [latex]15[\/latex] and [latex]4[\/latex][reveal-answer q=\"110258\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"110258\"]15 \u2212 4; 11[\/hidden-answer]<\/li>\r\n \t<li>The difference of [latex]18[\/latex] and [latex]7[\/latex]<\/li>\r\n \t<li>Subtract [latex]6[\/latex] from [latex]9[\/latex][reveal-answer q=\"285200\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"285200\"]9 \u2212 6; 3[\/hidden-answer]<\/li>\r\n \t<li>Subtract [latex]8[\/latex] from [latex]9[\/latex]<\/li>\r\n \t<li>Subtract [latex]28[\/latex] from [latex]75[\/latex][reveal-answer q=\"269339\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"269339\"]75 \u2212 28; 47[\/hidden-answer]<\/li>\r\n \t<li>Subtract [latex]59[\/latex] from [latex]81[\/latex]<\/li>\r\n \t<li>[latex]45[\/latex] decreased by [latex]20[\/latex][reveal-answer q=\"527157\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"527157\"]45 \u2212 20; 25[\/hidden-answer]<\/li>\r\n \t<li>[latex]37[\/latex] decreased by [latex]24[\/latex]<\/li>\r\n \t<li>[latex]92[\/latex] decreased by [latex]67[\/latex][reveal-answer q=\"703805\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"703805\"]92 \u2212 67; 25[\/hidden-answer]<\/li>\r\n \t<li>[latex]75[\/latex] decreased by [latex]49[\/latex]<\/li>\r\n \t<li>[latex]12[\/latex] less than [latex]16[\/latex][reveal-answer q=\"973601\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"973601\"]16 \u2212 12; 4[\/hidden-answer]<\/li>\r\n \t<li>[latex]15[\/latex] less than [latex]19[\/latex]<\/li>\r\n \t<li>[latex]38[\/latex] less than [latex]61[\/latex][reveal-answer q=\"328181\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"328181\"]61 \u2212 38; 23[\/hidden-answer]<\/li>\r\n \t<li>[latex]47[\/latex] less than [latex]62[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Mixed Practice<\/h3>\r\nIn the following exercises, simplify.\r\n<ol>\r\n \t<li>[latex]76 - 47[\/latex][reveal-answer q=\"756434\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"756434\"]29[\/hidden-answer]<\/li>\r\n \t<li>[latex]91 - 53[\/latex]<\/li>\r\n \t<li>[latex]256 - 184[\/latex][reveal-answer q=\"357501\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"357501\"]72[\/hidden-answer]<\/li>\r\n \t<li>[latex]305 - 262[\/latex]<\/li>\r\n \t<li>[latex]719+341[\/latex][reveal-answer q=\"601322\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"601322\"]1,060[\/hidden-answer]<\/li>\r\n \t<li>[latex]647+528[\/latex]<\/li>\r\n \t<li>[latex]2,015 - 1,993[\/latex]\r\n[reveal-answer q=\"539801\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"539801\"]22[\/hidden-answer]<\/li>\r\n \t<li>[latex]2,020 - 1,984[\/latex]<\/li>\r\n<\/ol>\r\nIn the following exercises, translate and simplify.\r\n<ol>\r\n \t<li>Seventy more than thirty-five[reveal-answer q=\"533814\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"533814\"]75 + 35; 110[\/hidden-answer]<\/li>\r\n \t<li>Sixty more than ninety-three<\/li>\r\n \t<li>[latex]13[\/latex] less than [latex]41[\/latex][reveal-answer q=\"299675\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"299675\"]41 \u2212 13; 28[\/hidden-answer]<\/li>\r\n \t<li>[latex]28[\/latex] less than [latex]36[\/latex]<\/li>\r\n \t<li>The difference of [latex]100[\/latex] and [latex]76[\/latex][reveal-answer q=\"556534\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"556534\"]100 \u2212 76; 24[\/hidden-answer]<\/li>\r\n \t<li>The difference of [latex]1,000[\/latex] and [latex]945[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Subtract Whole Numbers in Applications<\/h3>\r\nIn the following exercises, solve.\r\n<h4>Temperature<\/h4>\r\nThe high temperature on June 2 in Las Vegas was 80 degrees and the low temperature was 63 degrees. What was the difference between the high and low temperatures?\r\n\r\n[reveal-answer q=\"603780\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"603780\"]The difference between the high and low temperature was 17 degrees[\/hidden-answer]\r\n<h4>Temperature<\/h4>\r\nThe high temperature on June 1 in Phoenix was 97 degrees and the low was 73 degrees. What was the difference between the high and low temperatures?\r\n<h4>Class size<\/h4>\r\nOlivia\u2019s third grade class has [latex]35[\/latex] children. Last year, her second grade class had [latex]22[\/latex] children. What is the difference between the number of children in Olivia\u2019s third grade class and her second grade class?\r\n\r\n[reveal-answer q=\"309583\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"309583\"]The difference between the third grade and second grade was 13 children.[\/hidden-answer]\r\n<h4>Class size<\/h4>\r\nThere are [latex]82[\/latex] students in the school band and [latex]46[\/latex] in the school orchestra. What is the difference between the number of students in the band and the orchestra?\r\n<h4>Shopping<\/h4>\r\nA mountain bike is on sale for [latex]\\$399[\/latex]. Its regular price is [latex]\\$650[\/latex]. What is the difference between the regular price and the sale price?\r\n\r\n[reveal-answer q=\"457869\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"457869\"]The difference between the regular price and sale price is $251.[\/hidden-answer]\r\n<h4>Shopping<\/h4>\r\nA mattress set is on sale for [latex]\\$755[\/latex]. Its regular price is [latex]\\$1,600[\/latex]. What is the difference between the regular price and the sale price?\r\n<h4>Savings<\/h4>\r\nJohn wants to buy a laptop that costs [latex]\\$840[\/latex]. He has [latex]\\$685[\/latex] in his savings account. How much more does he need to save in order to buy the laptop?\r\n\r\n[reveal-answer q=\"548496\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"548496\"]John needs to save $155 more.[\/hidden-answer]\r\n<h4>Banking<\/h4>\r\nMason had [latex]\\$1,125[\/latex] in his checking account. He spent [latex]\\$892[\/latex]. How much money does he have left?\r\n<div class=\"textbox exercises\">\r\n<h3>Everyday Math<\/h3>\r\n<h4>Road trip<\/h4>\r\nNoah was driving from Philadelphia to Cincinnati, a distance of [latex]502[\/latex] miles. He drove [latex]115[\/latex] miles, stopped for gas, and then drove another [latex]230[\/latex] miles before lunch. How many more miles did he have to travel?\r\n\r\n[reveal-answer q=\"886911\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"886911\"]157 miles[\/hidden-answer]\r\n<h4>Test Scores<\/h4>\r\nSara needs [latex]350[\/latex] points to pass her course. She scored [latex]75,50,70,\\text{and}80[\/latex] on her first four tests. How many more points does Sara need to pass the course?\r\n\r\n<\/div>\r\n<div class=\"textbox learning-objectives\">\r\n<h3>Writing Exercises<\/h3>\r\nExplain how subtraction and addition are related.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\nHow does knowing addition facts help you to subtract numbers?\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n<h2>Multiplying Whole Numbers<\/h2>\r\n<h3>Use Multiplication Notation<\/h3>\r\nIn the following exercises, translate from math notation to words.\r\n<ol>\r\n \t<li>[latex]4\\times 7[\/latex][reveal-answer q=\"363991\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"363991\"]four times seven; the product of four and seven[\/hidden-answer]<\/li>\r\n \t<li>[latex]8\\times 6[\/latex]<\/li>\r\n \t<li>[latex]5\\cdot 12[\/latex][reveal-answer q=\"804089\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"804089\"]five times twelve; the product of five and twelve[\/hidden-answer]<\/li>\r\n \t<li>[latex]3\\cdot 9[\/latex]<\/li>\r\n \t<li>[latex]\\left(10\\right)\\left(25\\right)[\/latex][reveal-answer q=\"617226\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"617226\"]ten times twenty-five; the product of ten and twenty-five[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\left(20\\right)\\left(15\\right)[\/latex]<\/li>\r\n \t<li>[latex]42\\left(33\\right)[\/latex][reveal-answer q=\"528569\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"528569\"]forty-two times thirty-three; the product of forty-two and thirty-three[\/hidden-answer]<\/li>\r\n \t<li>[latex]39\\left(64\\right)[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Model Multiplication of Whole Numbers<\/h3>\r\nIn the following exercises, model the multiplication.\r\n<ol>\r\n \t<li>[latex]3\\times 6[\/latex][reveal-answer q=\"147208\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"147208\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215542\/CNX_BMath_Figure_01_04_201_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>[latex]4\\times 5[\/latex]<\/li>\r\n \t<li>[latex]5\\times 9[\/latex][reveal-answer q=\"446305\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"446305\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215543\/CNX_BMath_Figure_01_04_203_img-1.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>[latex]3\\times 9[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Multiply Whole Numbers<\/h3>\r\nIn the following exercises, fill in the missing values in each chart.\r\n<h4>Exercise 1<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215544\/CNX_BMath_Figure_01_04_205.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values \" \/>\r\n[reveal-answer q=\"936218\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"936218\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215546\/CNX_BMath_Figure_01_04_206.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]\r\n<h4>Exercise 2<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215548\/CNX_BMath_Figure_01_04_207.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values \" \/>\r\n<h4>Exercise 3<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215550\/CNX_BMath_Figure_01_04_209.png\" alt=\"An image of a table with 8 columns and 7 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \" \/>\r\n\r\n[reveal-answer q=\"973218\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"973218\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215552\/CNX_BMath_Figure_01_04_210.png\" alt=\"No Alt Text\" \/> [\/hidden-answer]\r\n<h4>Exercise 4<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215554\/CNX_BMath_Figure_01_04_211.png\" alt=\"PROD: An image of a table with 7 columns and 8 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \" \/>\r\n<h4>Exercise 5<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215555\/CNX_BMath_Figure_01_04_213.png\" alt=\"An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values \" \/>\r\n\r\n[reveal-answer q=\"976228\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"976228\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215557\/CNX_BMath_Figure_01_04_214.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]\r\n<h4>Exercise 6<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215559\/CNX_BMath_Figure_01_04_215.png\" alt=\"An image of a table with 5 columns and 8 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \" \/>\r\n<h4>Exercise 7<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215600\/CNX_BMath_Figure_01_04_217.png\" alt=\"PROD: An image of a table with 6 columns and 6 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \" \/>\r\n\r\n[reveal-answer q=\"976218\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"976218\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215601\/CNX_BMath_Figure_01_04_218.png\" alt=\"No Alt Text\" \/> [\/hidden-answer]\r\n<h4>Exercise 8<\/h4>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215602\/CNX_BMath_Figure_01_04_219.png\" alt=\"An image of a table with 6 columns and 6 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values \" \/>\r\n<h3>Multiply Whole Numbers<\/h3>\r\nIn the following exercises, multiply.\r\n<ol>\r\n \t<li>[latex]0\\cdot 15[\/latex][reveal-answer q=\"3516\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"3516\"]0[\/hidden-answer]<\/li>\r\n \t<li>[latex]0\\cdot 41[\/latex]<\/li>\r\n \t<li>[latex]\\left(99\\right)0[\/latex][reveal-answer q=\"544173\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"544173\"]0[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\left(77\\right)0[\/latex]<\/li>\r\n \t<li>[latex]1\\cdot 43[\/latex][reveal-answer q=\"507186\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"507186\"]43[\/hidden-answer]<\/li>\r\n \t<li>[latex]1\\cdot 34[\/latex]<\/li>\r\n \t<li>[latex]\\left(28\\right)1[\/latex][reveal-answer q=\"660623\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"660623\"]28[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\left(65\\right)1[\/latex]<\/li>\r\n \t<li>[latex]1\\left(240,055\\right)[\/latex][reveal-answer q=\"878871\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"878871\"]240,055[\/hidden-answer]<\/li>\r\n \t<li>[latex]1\\left(189,206\\right)[\/latex]<\/li>\r\n \t<li>[latex]7\\cdot 6[\/latex][reveal-answer q=\"463884\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"463884\"]42[\/hidden-answer]<\/li>\r\n \t<li>[latex]6\\cdot 7[\/latex][reveal-answer q=\"124158\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"124158\"]42[\/hidden-answer]<\/li>\r\n \t<li>[latex]8\\times 9[\/latex]<\/li>\r\n \t<li>[latex]9\\times 8[\/latex]<\/li>\r\n \t<li>[latex]\\left(79\\right)\\left(5\\right)[\/latex][reveal-answer q=\"692758\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"692758\"]395[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\left(58\\right)\\left(4\\right)[\/latex]<\/li>\r\n \t<li>[latex]275\\cdot 6[\/latex][reveal-answer q=\"851543\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"851543\"]1,650[\/hidden-answer]<\/li>\r\n \t<li>[latex]638\\cdot 5[\/latex]<\/li>\r\n \t<li>[latex]3,421\\times 7[\/latex][reveal-answer q=\"957112\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"957112\"]23,947[\/hidden-answer]<\/li>\r\n \t<li>[latex]9,143\\times 3[\/latex]<\/li>\r\n \t<li>[latex]52\\left(38\\right)[\/latex][reveal-answer q=\"600286\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"600286\"]1,976[\/hidden-answer]<\/li>\r\n \t<li>[latex]37\\left(45\\right)[\/latex]<\/li>\r\n \t<li>[latex]96\\cdot 73[\/latex][reveal-answer q=\"992931\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"992931\"]7,008[\/hidden-answer]<\/li>\r\n \t<li>[latex]89\\cdot 56[\/latex]<\/li>\r\n \t<li>[latex]27\\times 85[\/latex][reveal-answer q=\"788933\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"788933\"]2,295[\/hidden-answer]<\/li>\r\n \t<li>[latex]53\\times 98[\/latex]<\/li>\r\n \t<li>[latex]23\\cdot 10[\/latex][reveal-answer q=\"155427\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"155427\"]230[\/hidden-answer]<\/li>\r\n \t<li>[latex]19\\cdot 10[\/latex]<\/li>\r\n \t<li>[latex]\\left(100\\right)\\left(36\\right)[\/latex][reveal-answer q=\"651386\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"651386\"]360[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\left(100\\right)\\left(25\\right)[\/latex]<\/li>\r\n \t<li>[latex]1,000\\left(88\\right)[\/latex][reveal-answer q=\"669872\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"669872\"]88,000[\/hidden-answer]<\/li>\r\n \t<li>[latex]1,000\\left(46\\right)[\/latex]<\/li>\r\n \t<li>[latex]50\\times 1,000,000[\/latex][reveal-answer q=\"604007\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"604007\"]50,000,000[\/hidden-answer]<\/li>\r\n \t<li>[latex]30\\times 1,000,000[\/latex]<\/li>\r\n \t<li>[latex]247\\times 139[\/latex][reveal-answer q=\"232656\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"232656\"]34,333[\/hidden-answer]<\/li>\r\n \t<li>[latex]156\\times 328[\/latex]<\/li>\r\n \t<li>[latex]586\\left(721\\right)[\/latex][reveal-answer q=\"157756\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"157756\"]422,506[\/hidden-answer]<\/li>\r\n \t<li>[latex]472\\left(855\\right)[\/latex]<\/li>\r\n \t<li>[latex]915\\cdot 879[\/latex][reveal-answer q=\"395503\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"395503\"]804,285[\/hidden-answer]<\/li>\r\n \t<li>[latex]968\\cdot 926[\/latex]<\/li>\r\n \t<li>[latex]\\left(104\\right)\\left(256\\right)[\/latex][reveal-answer q=\"910264\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"910264\"]26,624[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\left(103\\right)\\left(497\\right)[\/latex]<\/li>\r\n \t<li>[latex]348\\left(705\\right)[\/latex][reveal-answer q=\"238820\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"238820\"]245,340[\/hidden-answer]<\/li>\r\n \t<li>[latex]485\\left(602\\right)[\/latex]<\/li>\r\n \t<li>[latex]2,719\\times 543[\/latex][reveal-answer q=\"142732\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"142732\"]1,476,417[\/hidden-answer]<\/li>\r\n \t<li>[latex]3,581\\times 724[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Translate Word Phrases to Math Notation<\/h3>\r\nIn the following exercises, translate and simplify.\r\n<ol>\r\n \t<li>the product of [latex]18[\/latex] and [latex]33[\/latex][reveal-answer q=\"785549\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"785549\"]18 \u00b7 33; 594[\/hidden-answer]<\/li>\r\n \t<li>the product of [latex]15[\/latex] and [latex]22[\/latex]<\/li>\r\n \t<li>fifty-one times sixty-seven[reveal-answer q=\"472023\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"472023\"]51(67); 3,417[\/hidden-answer]<\/li>\r\n \t<li>forty-eight times seventy-one<\/li>\r\n \t<li>twice [latex]249[\/latex][reveal-answer q=\"508529\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"508529\"]2(249); 498[\/hidden-answer]<\/li>\r\n \t<li>twice [latex]589[\/latex]<\/li>\r\n \t<li>ten times three hundred seventy-five[reveal-answer q=\"698570\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"698570\"]10(375); 3,750[\/hidden-answer]<\/li>\r\n \t<li>ten times two hundred fifty-five<\/li>\r\n<\/ol>\r\n<h3>Mixed Practice, Part I<\/h3>\r\nIn the following exercises, simplify.\r\n<ol>\r\n \t<li>[latex]38\\times 37[\/latex][reveal-answer q=\"85580\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"85580\"]1,406[\/hidden-answer]<\/li>\r\n \t<li>[latex]86\\times 29[\/latex]<\/li>\r\n \t<li>[latex]415 - 267[\/latex][reveal-answer q=\"421213\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"421213\"]148[\/hidden-answer]<\/li>\r\n \t<li>[latex]341 - 285[\/latex]<\/li>\r\n \t<li>[latex]6,251+4,749[\/latex][reveal-answer q=\"194502\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"194502\"]11,000[\/hidden-answer]<\/li>\r\n \t<li>[latex]3,816+8,184[\/latex]<\/li>\r\n \t<li>[latex]\\left(56\\right)\\left(204\\right)[\/latex][reveal-answer q=\"615724\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"615724\"]11,424[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\left(77\\right)\\left(801\\right)[\/latex]<\/li>\r\n \t<li>[latex]947\\cdot 0[\/latex][reveal-answer q=\"293312\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"293312\"]0[\/hidden-answer]<\/li>\r\n \t<li>[latex]947+0[\/latex]<\/li>\r\n \t<li>[latex]15,382+1[\/latex][reveal-answer q=\"679451\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"679451\"]15,383[\/hidden-answer]<\/li>\r\n \t<li>[latex]15,382\\cdot 1[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Mixed Practice, Part II<\/h3>\r\nIn the following exercises, translate and simplify.\r\n<ol>\r\n \t<li>the difference of 50 and 18[reveal-answer q=\"651495\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"651495\"]50 \u2212 18; 32[\/hidden-answer]<\/li>\r\n \t<li>the difference of 90 and 66<\/li>\r\n \t<li>twice 35[reveal-answer q=\"858533\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"858533\"]2(35); 70[\/hidden-answer]<\/li>\r\n \t<li>twice 140<\/li>\r\n \t<li>20 more than 980[reveal-answer q=\"978493\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"978493\"]20 + 980; 1,000[\/hidden-answer]<\/li>\r\n \t<li>65 more than 325<\/li>\r\n \t<li>the product of 12 and 875[reveal-answer q=\"88817\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"88817\"]12(875); 10,500[\/hidden-answer]<\/li>\r\n \t<li>the product of 15 and 905<\/li>\r\n \t<li>subtract 74 from 89[reveal-answer q=\"29426\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"29426\"]89 \u2212 74; 15[\/hidden-answer]<\/li>\r\n \t<li>subtract 45 from 99<\/li>\r\n \t<li>the sum of 3,075 and 95[reveal-answer q=\"279558\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"279558\"]3,075 + 950; 4,025[\/hidden-answer]<\/li>\r\n \t<li>the sum of 6,308 and 724<\/li>\r\n \t<li>366 less than 814[reveal-answer q=\"670592\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"670592\"]814 \u2212 366; 448[\/hidden-answer]<\/li>\r\n \t<li>388 less than 925<\/li>\r\n<\/ol>\r\n<h3>Multiply Whole Numbers in Applications<\/h3>\r\nIn the following exercises, solve.\r\n<h4>Party supplies<\/h4>\r\nTim brought 9 six-packs of soda to a club party. How many cans of soda did Tim bring?\r\n\r\n[reveal-answer q=\"326247\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"326247\"]Tim brought 54 cans of soda to the party.[\/hidden-answer]\r\n<h4>Sewing<\/h4>\r\nKanisha is making a quilt. She bought 6 cards of buttons. Each card had four buttons on it. How many buttons did Kanisha buy?\r\n<h4>Field trip<\/h4>\r\nSeven school busses let off their students in front of a museum in Washington, DC. Each school bus had 44 students. How many students were there?\r\n\r\n[reveal-answer q=\"65201\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"65201\"]There were 308 students.[\/hidden-answer]\r\n<h4>Gardening<\/h4>\r\nKathryn bought 8 flats of impatiens for her flower bed. Each flat has 24 flowers. How many flowers did Kathryn buy?\r\n<h4>Charity<\/h4>\r\nRey donated 15 twelve-packs of t-shirts to a homeless shelter. How many t-shirts did he donate?\r\n\r\n[reveal-answer q=\"458941\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"458941\"]Rey donated 180 t-shirts.[\/hidden-answer]\r\n<h4>School<\/h4>\r\nThere are 28 classrooms at Anna C. Scott elementary school. Each classroom has 26 student desks. What is the total number of student desks?\r\n<h4>Recipe<\/h4>\r\nStephanie is making punch for a party. The recipe calls for twice as much fruit juice as club soda. If she uses 10 cups of club soda, how much fruit juice should she use?\r\n\r\n[reveal-answer q=\"189414\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"189414\"]Stephanie should use 20 cups of fruit juice.[\/hidden-answer]\r\n<h4>Gardening<\/h4>\r\nHiroko is putting in a vegetable garden. He wants to have twice as many lettuce plants as tomato plants. If he buys 12 tomato plants, how many lettuce plants should he get?\r\n<h4>Government<\/h4>\r\nThe United States Senate has twice as many senators as there are states in the United States. There are 50 states. How many senators are there in the United States Senate?\r\n\r\n[reveal-answer q=\"574651\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"574651\"]There are 100 senators in the U.S. senate.[\/hidden-answer]\r\n<h4>Recipe<\/h4>\r\nAndrea is making potato salad for a buffet luncheon. The recipe says the number of servings of potato salad will be twice the number of pounds of potatoes. If she buys 30 pounds of potatoes, how many servings of potato salad will there be?\r\n<h4>Painting<\/h4>\r\nJane is painting one wall of her living room. The wall is rectangular, 13 feet wide by 9 feet high. What is the area of the wall?\r\n\r\n[reveal-answer q=\"513008\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"513008\"]The area of the wall is 117 square feet.[\/hidden-answer]\r\n<h4>Home d\u00e9cor<\/h4>\r\nShawnte bought a rug for the hall of her apartment. The rug is 3 feet wide by 18 feet long. What is the area of the rug?\r\n<h4>Room size<\/h4>\r\nThe meeting room in a senior center is rectangular, with length 42 feet and width 34 feet. What is the area of the meeting room?\r\n\r\n[reveal-answer q=\"756320\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"756320\"]The area of the room is 1,428 square feet.[\/hidden-answer]\r\n<h4>Gardening<\/h4>\r\nJune has a vegetable garden in her yard. The garden is rectangular, with length 23 feet and width 28 feet. What is the area of the garden?\r\n<h4>NCAA basketball<\/h4>\r\nAccording to NCAA regulations, the dimensions of a rectangular basketball court must be 94 feet by 50 feet. What is the area of the basketball court?\r\n\r\n[reveal-answer q=\"133739\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"133739\"]The area of the court is 4,700 square feet.[\/hidden-answer]\r\n<h4>NCAA football<\/h4>\r\nAccording to NCAA regulations, the dimensions of a rectangular football field must be 360 feet by 160 feet. What is the area of the football field?\r\n<div class=\"textbox exercises\">\r\n<h3>Everyday Math<\/h3>\r\n<h4>Stock market<\/h4>\r\nJavier owns 300 shares of stock in one company. On Tuesday, the stock price rose [latex]\\$12[\/latex] per share. How much money did Javier\u2019s portfolio gain?\r\n\r\n[reveal-answer q=\"437766\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"437766\"]Javier\u2019s portfolio gained $3,600.[\/hidden-answer]\r\n<h4>Salary<\/h4>\r\nCarlton got a [latex]\\$200[\/latex] raise in each paycheck. He gets paid 24 times a year. How much higher is his new annual salary?\r\n\r\n<\/div>\r\n<div class=\"textbox learning-objectives\">\r\n<h3>Writing Exercises<\/h3>\r\nHow confident do you feel about your knowledge of the multiplication facts? If you are not fully confident, what will you do to improve your skills?\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\nHow have you used models to help you learn the multiplication facts?\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n<h2>Dividing Whole Numbers<\/h2>\r\n<h3>Use Division Notation<\/h3>\r\nIn the following exercises, translate from math notation to words.\r\n<ol>\r\n \t<li>[latex]54\\div 9[\/latex][reveal-answer q=\"659526\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"659526\"]fifty-four divided by nine; the quotient of fifty-four and nine[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{56}{7}[\/latex]<\/li>\r\n \t<li>[latex]\\frac{32}{8}[\/latex][reveal-answer q=\"561254\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"561254\"]thirty-two divided by eight; the quotient of thirty-two and eight[\/hidden-answer]<\/li>\r\n \t<li>[latex]6\\overline{)42}[\/latex]<\/li>\r\n \t<li>[latex]48\\div 6[\/latex][reveal-answer q=\"90930\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"90930\"]forty-eight divided by six; the quotient of forty-eight and six[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{63}{9}[\/latex]<\/li>\r\n \t<li>[latex]7\\overline{)63}[\/latex][reveal-answer q=\"716200\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"716200\"]sixty-three divided by seven; the quotient of sixty-three and seven[\/hidden-answer]<\/li>\r\n \t<li>[latex]72\\div 8[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Model Division of Whole Numbers<\/h3>\r\nIn the following exercises, model the division.\r\n<ol>\r\n \t<li>[latex]15\\div 5[\/latex][reveal-answer q=\"74064\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"74064\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215658\/CNX_BMath_Figure_01_05_201_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>[latex]10\\div 5[\/latex]<\/li>\r\n \t<li>[latex]\\frac{14}{7}[\/latex][reveal-answer q=\"592632\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"592632\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215659\/CNX_BMath_Figure_01_05_203_img.png\" alt=\"No Alt Text\" \/> [\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{18}{6}[\/latex]<\/li>\r\n \t<li>[latex]4\\overline{)20}[\/latex][reveal-answer q=\"461602\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"461602\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215700\/CNX_BMath_Figure_01_05_205_img.png\" alt=\"No Alt Text\" \/> [\/hidden-answer]<\/li>\r\n \t<li>[latex]3\\overline{)15}[\/latex]<\/li>\r\n \t<li>[latex]24\\div 6[\/latex][reveal-answer q=\"758520\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"758520\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215702\/CNX_BMath_Figure_01_05_207_img.png\" alt=\"No Alt Text\" \/> [\/hidden-answer]<\/li>\r\n \t<li>[latex]16\\div 4[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Divide Whole Numbers<\/h3>\r\nIn the following exercises, divide. Then check by multiplying.\r\n<ol>\r\n \t<li>[latex]18\\div 2[\/latex][reveal-answer q=\"408037\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"408037\"]9[\/hidden-answer]<\/li>\r\n \t<li>[latex]14\\div 2[\/latex]<\/li>\r\n \t<li>[latex]\\frac{27}{3}[\/latex][reveal-answer q=\"846806\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"846806\"]9[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{30}{3}[\/latex]<\/li>\r\n \t<li>[latex]4\\overline{)28}[\/latex][reveal-answer q=\"596589\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"596589\"]7[\/hidden-answer]<\/li>\r\n \t<li>[latex]4\\overline{)36}[\/latex]<\/li>\r\n \t<li>[latex]\\frac{45}{5}[\/latex][reveal-answer q=\"357564\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"357564\"]9[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{35}{5}[\/latex]<\/li>\r\n \t<li>[latex]72\/8[\/latex][reveal-answer q=\"277121\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"277121\"]9[\/hidden-answer]<\/li>\r\n \t<li>[latex]8\\overline{)64}[\/latex]<\/li>\r\n \t<li>[latex]\\frac{35}{7}[\/latex][reveal-answer q=\"924336\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"924336\"]5[\/hidden-answer]<\/li>\r\n \t<li>[latex]42\\div 7[\/latex]<\/li>\r\n \t<li>[latex]15\\overline{)15}[\/latex][reveal-answer q=\"91727\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"91727\"]1[\/hidden-answer]<\/li>\r\n \t<li>[latex]12\\overline{)12}[\/latex]<\/li>\r\n \t<li>[latex]43\\div 43[\/latex][reveal-answer q=\"602574\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"602574\"]1[\/hidden-answer]<\/li>\r\n \t<li>[latex]37\\div 37[\/latex]<\/li>\r\n \t<li>[latex]\\frac{23}{1}[\/latex][reveal-answer q=\"295080\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"295080\"]23[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{29}{1}[\/latex]<\/li>\r\n \t<li>[latex]19\\div 1[\/latex][reveal-answer q=\"174685\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"174685\"]19[\/hidden-answer]<\/li>\r\n \t<li>[latex]17\\div 1[\/latex]<\/li>\r\n \t<li>[latex]0\\div 4[\/latex][reveal-answer q=\"491691\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"491691\"]0[\/hidden-answer]<\/li>\r\n \t<li>[latex]0\\div 8[\/latex]<\/li>\r\n \t<li>[latex]\\frac{5}{0}[\/latex][reveal-answer q=\"270407\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"270407\"]undefined[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{9}{0}[\/latex]<\/li>\r\n \t<li>[latex]\\frac{26}{0}[\/latex][reveal-answer q=\"207244\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"207244\"]undefined[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{32}{0}[\/latex]<\/li>\r\n \t<li>[latex]12\\overline{)0}[\/latex][reveal-answer q=\"107481\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"107481\"]0[\/hidden-answer]<\/li>\r\n \t<li>[latex]16\\overline{)0}[\/latex]<\/li>\r\n \t<li>[latex]72\\div 3[\/latex][reveal-answer q=\"19965\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"19965\"]24[\/hidden-answer]<\/li>\r\n \t<li>[latex]57\\div 3[\/latex]<\/li>\r\n \t<li>[latex]\\frac{96}{8}[\/latex][reveal-answer q=\"641067\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"641067\"]12[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{78}{6}[\/latex]<\/li>\r\n \t<li>[latex]5\\overline{)465}[\/latex][reveal-answer q=\"55641\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"55641\"]93[\/hidden-answer]<\/li>\r\n \t<li>[latex]4\\overline{)528}[\/latex]<\/li>\r\n \t<li>[latex]924\\div 7[\/latex][reveal-answer q=\"495442\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"495442\"]132[\/hidden-answer]<\/li>\r\n \t<li>[latex]861\\div 7[\/latex]<\/li>\r\n \t<li>[latex]\\frac{5,226}{6}[\/latex][reveal-answer q=\"763471\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"763471\"]871[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{3,776}{8}[\/latex]<\/li>\r\n \t<li>[latex]4\\overline{)31,324}[\/latex][reveal-answer q=\"246147\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"246147\"]7,831[\/hidden-answer]<\/li>\r\n \t<li>[latex]5\\overline{)46,855}[\/latex]<\/li>\r\n \t<li>[latex]7,209\\div 3[\/latex][reveal-answer q=\"326789\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"326789\"]2,403[\/hidden-answer]<\/li>\r\n \t<li>[latex]4,806\\div 3[\/latex]<\/li>\r\n \t<li>[latex]5,406\\div 6[\/latex][reveal-answer q=\"728219\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"728219\"]901[\/hidden-answer]<\/li>\r\n \t<li>[latex]3,208\\div 4[\/latex]<\/li>\r\n \t<li>[latex]4\\overline{)2,816}[\/latex][reveal-answer q=\"513319\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"513319\"]704[\/hidden-answer]<\/li>\r\n \t<li>[latex]6\\overline{)3,624}[\/latex]<\/li>\r\n \t<li>[latex]\\frac{91,881}{9}[\/latex][reveal-answer q=\"817\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"817\"]10,209[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{83,256}{8}[\/latex]<\/li>\r\n \t<li>[latex]2,470\\div 7[\/latex][reveal-answer q=\"444049\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"444049\"]352 R6[\/hidden-answer]<\/li>\r\n \t<li>[latex]3,741\\div 7[\/latex]<\/li>\r\n \t<li>[latex]8\\overline{)55,305}[\/latex][reveal-answer q=\"689639\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"689639\"]6,913 R1[\/hidden-answer]<\/li>\r\n \t<li>[latex]9\\overline{)51,492}[\/latex]<\/li>\r\n \t<li>[latex]\\frac{431,174}{5}[\/latex][reveal-answer q=\"581171\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"581171\"]86,234 R4[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{297,277}{4}[\/latex]<\/li>\r\n \t<li>[latex]130,016\\div 3[\/latex][reveal-answer q=\"280559\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"280559\"]43,338 R2[\/hidden-answer]<\/li>\r\n \t<li>[latex]105,609\\div 2[\/latex]<\/li>\r\n \t<li>[latex]15\\overline{)5,735}[\/latex][reveal-answer q=\"953865\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"953865\"]382 R5[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{4,933}{21}[\/latex]<\/li>\r\n \t<li>[latex]56,883\\div 67[\/latex][reveal-answer q=\"726474\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"726474\"]849[\/hidden-answer]<\/li>\r\n \t<li>[latex]43,725\/75[\/latex]<\/li>\r\n \t<li>[latex]\\frac{30,144}{314}[\/latex][reveal-answer q=\"662417\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"662417\"]96[\/hidden-answer]<\/li>\r\n \t<li>[latex]26,145\\div 415[\/latex]<\/li>\r\n \t<li>[latex]273\\overline{)542,195}[\/latex][reveal-answer q=\"34229\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"34229\"]1,986 R17[\/hidden-answer]<\/li>\r\n \t<li>[latex]816,243\\div 462[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Mixed Practice<\/h3>\r\nIn the following exercises, simplify.\r\n<ol>\r\n \t<li>[latex]15\\left(204\\right)[\/latex][reveal-answer q=\"976827\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"976827\"]3,060[\/hidden-answer]<\/li>\r\n \t<li>[latex]74\\cdot 391[\/latex]<\/li>\r\n \t<li>[latex]256 - 184[\/latex][reveal-answer q=\"338061\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"338061\"]72[\/hidden-answer]<\/li>\r\n \t<li>[latex]305 - 262[\/latex]<\/li>\r\n \t<li>[latex]719+341[\/latex][reveal-answer q=\"500643\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"500643\"]1,060[\/hidden-answer]<\/li>\r\n \t<li>[latex]647+528[\/latex]<\/li>\r\n \t<li>[latex]25\\overline{)875}[\/latex][reveal-answer q=\"94074\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"94074\"]35[\/hidden-answer]<\/li>\r\n \t<li>[latex]1104\\div 23[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Translate Word Phrases to Algebraic Expressions<\/h3>\r\nIn the following exercises, translate and simplify.\r\n<ol>\r\n \t<li>the quotient of [latex]45[\/latex] and [latex]15[\/latex][reveal-answer q=\"454494\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"454494\"]45 \u00f7 15; 3[\/hidden-answer]<\/li>\r\n \t<li>the quotient of [latex]64[\/latex] and [latex]16[\/latex]<\/li>\r\n \t<li>the quotient of [latex]288[\/latex] and [latex]24[\/latex][reveal-answer q=\"998684\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"998684\"]288 \u00f7 24; 12[\/hidden-answer]<\/li>\r\n \t<li>the quotient of [latex]256[\/latex] and [latex]32[\/latex]<\/li>\r\n<\/ol>\r\n<h3>Divide Whole Numbers in Applications<\/h3>\r\nIn the following exercises, solve.\r\n<h4>Trail mix<\/h4>\r\nRic bought [latex]64[\/latex] ounces of trail mix. He wants to divide it into small bags, with [latex]2[\/latex] ounces of trail mix in each bag. How many bags can Ric fill?\r\n\r\n[reveal-answer q=\"703317\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"703317\"]Ric can fill 32 bags.[\/hidden-answer]\r\n<h4>Crackers<\/h4>\r\nEvie bought a [latex]42[\/latex] ounce box of crackers. She wants to divide it into bags with [latex]3[\/latex] ounces of crackers in each bag. How many bags can Evie fill?\r\n<h4>Astronomy class<\/h4>\r\nThere are [latex]125[\/latex] students in an astronomy class. The professor assigns them into groups of [latex]5[\/latex]. How many groups of students are there?\r\n\r\n[reveal-answer q=\"848883\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"848883\"]There are 25 groups.[\/hidden-answer]\r\n<h4>Flower shop<\/h4>\r\nMelissa\u2019s flower shop got a shipment of [latex]152[\/latex] roses. She wants to make bouquets of [latex]8[\/latex] roses each. How many bouquets can Melissa make?\r\n<h4>Baking<\/h4>\r\nOne roll of plastic wrap is [latex]48[\/latex] feet long. Marta uses [latex]3[\/latex] feet of plastic wrap to wrap each cake she bakes. How many cakes can she wrap from one roll?\r\n\r\n[reveal-answer q=\"784744\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"784744\"]Marta can wrap 16 cakes from 1 roll.[\/hidden-answer]\r\n<h4>Dental floss<\/h4>\r\nOne package of dental floss is [latex]54[\/latex] feet long. Brian uses [latex]2[\/latex] feet of dental floss every day. How many days will one package of dental floss last Brian?\r\n<div class=\"textbox exercises\">\r\n<h3>Everyday Math<\/h3>\r\n<h4>Contact lenses<\/h4>\r\nJenna puts in a new pair of contact lenses every [latex]14[\/latex] days. How many pairs of contact lenses does she need for [latex]365[\/latex] days?\r\n\r\n[reveal-answer q=\"530506\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"530506\"]Jenna uses 26 pairs of contact lenses, but there is 1 day left over, so she needs 27 pairs for 365 days.[\/hidden-answer]\r\n<h4>Cat food<\/h4>\r\nOne bag of cat food feeds Lara\u2019s cat for [latex]25[\/latex] days. How many bags of cat food does Lara need for [latex]365[\/latex] days?\r\n\r\n<\/div>\r\n<div class=\"textbox learning-objectives\">\r\n<h3>Writing Exercises<\/h3>\r\nExplain how you use the multiplication facts to help with division.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n[reveal-answer q=\"725391\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"725391\"]Answers may vary. Using multiplication facts can help you check your answers once you\u2019ve finished division.[\/hidden-answer]\r\n\r\nOswaldo divided [latex]300[\/latex] by [latex]8[\/latex] and said his answer was [latex]37[\/latex] with a remainder of [latex]4[\/latex]. How can you check to make sure he is correct?\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n<h2>Mixed Practice (Applications)<\/h2>\r\nIn the following exercises, solve.\r\n<h3>Miles per gallon<\/h3>\r\nSusana\u2019s hybrid car gets [latex]45[\/latex] miles per gallon. Her son\u2019s truck gets [latex]17[\/latex] miles per gallon. What is the difference in miles per gallon between Susana\u2019s car and her son\u2019s truck?\r\n\r\n[reveal-answer q=\"802352\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"802352\"]The difference is 28 miles per gallon.[\/hidden-answer]\r\n<h3>Distance<\/h3>\r\nMayra lives [latex]53[\/latex] miles from her mother\u2019s house and [latex]71[\/latex] miles from her mother-in-law\u2019s house. How much farther is Mayra from her mother-in-law\u2019s house than from her mother\u2019s house?\r\n<h3>Field trip<\/h3>\r\nThe [latex]45[\/latex] students in a Geology class will go on a field trip, using the college\u2019s vans. Each van can hold [latex]9[\/latex] students. How many vans will they need for the field trip?\r\n\r\n[reveal-answer q=\"387196\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"387196\"]They will need 5 vans for the field trip[\/hidden-answer]\r\n<h3>Potting soil<\/h3>\r\nAki bought a [latex]128[\/latex] ounce bag of potting soil. How many [latex]4[\/latex] ounce pots can he fill from the bag?\r\n<h3>Hiking<\/h3>\r\nBill hiked [latex]8[\/latex] miles on the first day of his backpacking trip, [latex]14[\/latex] miles the second day, [latex]11[\/latex] miles the third day, and [latex]17[\/latex] miles the fourth day. What is the total number of miles Bill hiked?\r\n\r\n[reveal-answer q=\"211222\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"211222\"]Bill hiked 50 miles[\/hidden-answer]\r\n<h3>Reading<\/h3>\r\nLast night Emily read [latex]6[\/latex] pages in her Business textbook, [latex]26[\/latex] pages in her History text, [latex]15[\/latex] pages in her Psychology text, and [latex]9[\/latex] pages in her math text. What is the total number of pages Emily read?\r\n<h3>Patients<\/h3>\r\nLaVonne treats [latex]12[\/latex] patients each day in her dental office. Last week she worked [latex]4[\/latex] days. How many patients did she treat last week?\r\n\r\n[reveal-answer q=\"681170\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"681170\"]LaVonne treated 48 patients last week.[\/hidden-answer]\r\n<h3>Scouts<\/h3>\r\nThere are [latex]14[\/latex] boys in Dave\u2019s scout troop. At summer camp, each boy earned [latex]5[\/latex] merit badges. What was the total number of merit badges earned by Dave\u2019s scout troop at summer camp?\r\n<h2>Chapter Review Exercises<\/h2>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Introduction to Whole Numbers<\/h3>\r\n<h4>Identify Counting Numbers and Whole Numbers<\/h4>\r\nIn the following exercises, determine which of the following are (a) counting numbers (b) whole numbers.\r\n<ol>\r\n \t<li>[latex]0,2,99[\/latex][reveal-answer q=\"831720\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"831720\"]\r\na) Counting numbers: 2, 99\r\nb) Whole numbers: 0, 2, 99\r\n[\/hidden-answer]<\/li>\r\n \t<li>[latex]0,3,25[\/latex]<\/li>\r\n \t<li>[latex]0,4,90[\/latex][reveal-answer q=\"693458\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"693458\"]a) Counting numbers: 4, 90\r\nb) Whole numbers: 0, 4, 90[\/hidden-answer]<\/li>\r\n \t<li>[latex]0,1,75[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Model Whole Numbers<\/h4>\r\nIn the following exercises, model each number using [latex]\\text{base - 10}[\/latex] blocks and then show its value using place value notation.\r\n<ol>\r\n \t<li>258[reveal-answer q=\"683749\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"683749\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215705\/CNX_BMath_Figure_01_05_209_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>104<\/li>\r\n<\/ol>\r\n<h4>Identify the Place Value of a Digit<\/h4>\r\nIn the following exercises, find the place value of the given digits.\r\n\r\n[latex]472,981[\/latex]\r\n<ol>\r\n \t<li>[latex]8[\/latex]<\/li>\r\n \t<li>[latex]4[\/latex]<\/li>\r\n \t<li>[latex]1[\/latex]<\/li>\r\n \t<li>[latex]7[\/latex]<\/li>\r\n \t<li>[latex]2[\/latex]<\/li>\r\n<\/ol>\r\n[reveal-answer q=\"653929\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"653929\"]\r\n<ol>\r\n \t<li>tens<\/li>\r\n \t<li>hundred thousands<\/li>\r\n \t<li>ones<\/li>\r\n \t<li>thousands<\/li>\r\n \t<li>ten thousands<\/li>\r\n<\/ol>\r\n[\/hidden-answer]\r\n\r\n[latex]12,403,295[\/latex]\r\n<ol>\r\n \t<li>[latex]4[\/latex]<\/li>\r\n \t<li>[latex]0[\/latex]<\/li>\r\n \t<li>[latex]1[\/latex]<\/li>\r\n \t<li>[latex]9[\/latex]<\/li>\r\n \t<li>[latex]3[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Use Place Value to Name Whole Numbers<\/h4>\r\nIn the following exercises, name each number in words.\r\n<ol>\r\n \t<li>[latex]5,280[\/latex][reveal-answer q=\"729325\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"729325\"]Five thousand two hundred eighty[\/hidden-answer]<\/li>\r\n \t<li>[latex]204,614[\/latex]<\/li>\r\n \t<li>[latex]5,012,582[\/latex][reveal-answer q=\"263641\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"263641\"]Five million twelve thousand five hundred eighty-two[\/hidden-answer]<\/li>\r\n \t<li>[latex]31,640,976[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Use Place Value to Write Whole Numbers<\/h4>\r\nIn the following exercises, write as a whole number using digits.\r\n<ol>\r\n \t<li>six hundred two<\/li>\r\n \t<li>fifteen thousand, two hundred fifty-three[reveal-answer q=\"145338\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"145338\"]15,253[\/hidden-answer]<\/li>\r\n \t<li>three hundred forty million, nine hundred twelve thousand, sixty-one[reveal-answer q=\"893267\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"893267\"]340,912,061[\/hidden-answer]<\/li>\r\n \t<li>two billion, four hundred ninety-two million, seven hundred eleven thousand, two<\/li>\r\n<\/ol>\r\n<h4>Round Whole Numbers<\/h4>\r\nIn the following exercises, round to the nearest ten.\r\n<ol>\r\n \t<li>[latex]412[\/latex][reveal-answer q=\"202876\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"202876\"]410[\/hidden-answer]<\/li>\r\n \t<li>[latex]648[\/latex]<\/li>\r\n \t<li>[latex]3,556[\/latex][reveal-answer q=\"573822\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"573822\"]3,560[\/hidden-answer]<\/li>\r\n \t<li>[latex]2,734[\/latex]<\/li>\r\n<\/ol>\r\nIn the following exercises, round to the nearest hundred.\r\n<ol>\r\n \t<li>[latex]38,975[\/latex][reveal-answer q=\"726326\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"726326\"]39,000[\/hidden-answer]<\/li>\r\n \t<li>[latex]26,849[\/latex]<\/li>\r\n \t<li>[latex]81,486[\/latex][reveal-answer q=\"455109\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"455109\"]81,500[\/hidden-answer]<\/li>\r\n \t<li>[latex]75,992[\/latex]<\/li>\r\n<\/ol>\r\n<\/div>\r\n<div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Add Whole Numbers<\/h3>\r\n<h4>Use Addition Notation<\/h4>\r\nIn the following exercises, translate the following from math notation to words.\r\n<ol>\r\n \t<li>[latex]4+3[\/latex][reveal-answer q=\"38132\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"38132\"]four plus three; the sum of four and three[\/hidden-answer]<\/li>\r\n \t<li>[latex]25+18[\/latex]<\/li>\r\n \t<li>[latex]571+629[\/latex][reveal-answer q=\"283519\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"283519\"]five hundred seventy-one plus six hundred twenty-nine; the sum of five hundred seventy-one and six hundred twenty-nine[\/hidden-answer]<\/li>\r\n \t<li>[latex]10,085+3,492[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Model Addition of Whole Numbers<\/h4>\r\nIn the following exercises, model the addition.\r\n<ol>\r\n \t<li>[latex]6+7[\/latex][reveal-answer q=\"29969\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"29969\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215707\/CNX_BMath_Figure_01_05_211_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>[latex]38+14[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Add Whole Numbers<\/h4>\r\nIn the following exercises, fill in the missing values in each chart.\r\n<h5>Exercise 1<\/h5>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215708\/CNX_BMath_Figure_01_05_222_img.png\" alt=\"A table with 11 rows down and 11 rows across. The first row and first column are headers and include the numbers 0 through 9 both across and down, with a plus sign in the first cell. The numbers across in the second row down appear as follows: 0,0, 1, null, 3, 4, null, 6, 7, null, 9. The numbers across in the third row down appear as follows: 1, 1, 2, 3, 4, null, null, 7, 8, 9, null. The numbers in the fourth row down appear across as follows: 2, null, 3,4,5,6,7,8, null, 10, 11. The numbers across in the fifth row down appear as follows: 3, 3, null, 5, null, 7, 8, null, 10, null 12. The numbers across in the sixth row down appear as follows: 4, 4, 5, null, null, 8, 9,null, null, 12, null. The numbers across in the seventh row down appear as follows: 5, 5, null, 7, 8, null null, 11, null, 13, null. The numbers across in the eighth row down appear as follows:6, 6, 7, 8, null, 10, null, null, 13, null, 15. The numbers across in the ninth row down appear as follows: null, null, 9, null, null, 12, 13, null, 15, 16. The numbers across in the tenth row down appear as follows: 8,8,9,null, 11, null, null, 14, null, eleventh row down appear as follows: 9, 9, 10, 11, null, 13, 14, null, null, 17, null.\" \/>\r\n\r\n[reveal-answer q=\"330420\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"330420\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215710\/CNX_BMath_Figure_01_05_223_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]\r\n<h5>Exercise 2<\/h5>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215711\/CNX_BMath_Figure_01_05_224_img.png\" alt=\"This table is 5 rows and 8 columns. The top row is a header row and includes the numbers 3 through 9, one number to each cell. The rows down include 6, 7, 8, and 9. There is a plus sign in the first cell. All cells are null.\" \/>\r\n\r\nIn the following exercises, add.\r\n<ol>\r\n \t<li>[latex]0+19[\/latex][reveal-answer q=\"145467\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"145467\"]19[\/hidden-answer]<\/li>\r\n \t<li>[latex]19+0[\/latex][reveal-answer q=\"589751\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"589751\"]19[\/hidden-answer]<\/li>\r\n \t<li>[latex]0+480[\/latex]<\/li>\r\n \t<li>[latex]480+0[\/latex]<\/li>\r\n \t<li>[latex]7+6[\/latex][reveal-answer q=\"856029\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"856029\"]13[\/hidden-answer]<\/li>\r\n \t<li>[latex]6+7[\/latex][reveal-answer q=\"20400\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"20400\"]13[\/hidden-answer]<\/li>\r\n \t<li>[latex]23+18[\/latex]<\/li>\r\n \t<li>[latex]18+23[\/latex]<\/li>\r\n \t<li>[latex]44+35[\/latex][reveal-answer q=\"96213\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"96213\"]82[\/hidden-answer]<\/li>\r\n \t<li>[latex]63+29[\/latex]<\/li>\r\n \t<li>[latex]96+58[\/latex][reveal-answer q=\"848688\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"848688\"]154[\/hidden-answer]<\/li>\r\n \t<li>[latex]375+591[\/latex]<\/li>\r\n \t<li>[latex]7,281+12,546[\/latex][reveal-answer q=\"101375\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"101375\"]19,827[\/hidden-answer]<\/li>\r\n \t<li>[latex]5,280+16,324+9,731[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Translate Word Phrases to Math Notation<\/h4>\r\nIn the following exercises, translate each phrase into math notation and then simplify.\r\n<ol>\r\n \t<li>the sum of [latex]30[\/latex] and [latex]12[\/latex][reveal-answer q=\"539744\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"539744\"]30 + 12; 42[\/hidden-answer]<\/li>\r\n \t<li>[latex]11[\/latex] increased by [latex]8[\/latex]<\/li>\r\n \t<li>[latex]25[\/latex] more than [latex]39[\/latex][reveal-answer q=\"987701\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"987701\"]39 + 25; 64[\/hidden-answer]<\/li>\r\n \t<li>total of [latex]15[\/latex] and [latex]50[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Add Whole Numbers in Applications<\/h4>\r\nIn the following exercises, solve.\r\n<h5>Shopping for an interview<\/h5>\r\nNathan bought a new shirt, tie, and slacks to wear to a job interview. The shirt cost [latex]\\$24[\/latex], the tie cost [latex]\\$14[\/latex], and the slacks cost [latex]\\$38[\/latex]. What was Nathan\u2019s total cost?\r\n\r\n[reveal-answer q=\"497986\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"497986\"]$76[\/hidden-answer]\r\n<h5>Running<\/h5>\r\nJackson ran [latex]4[\/latex] miles on Monday, [latex]12[\/latex] miles on Tuesday, [latex]1[\/latex] mile on Wednesday, [latex]8[\/latex] miles on Thursday, and [latex]5[\/latex] miles on Friday. What was the total number of miles Jackson ran?\r\n<h4>Add Whole Numbers in Applications<\/h4>\r\nIn the following exercises, find the perimeter of each figure.\r\n\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215713\/CNX_BMath_Figure_01_05_213_img.png\" alt=\"An image of a rectangle that is 8 feet tall and 15 feet wide.\" \/>\r\n\r\n[reveal-answer q=\"278748\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"278748\"]46 feet[\/hidden-answer]\r\n\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215714\/CNX_BMath_Figure_01_05_214_img.png\" alt=\"An image of a right triangle that has a base of 12 centimeters, height of 5 centimeters, and diagonal hypotenuse of 13 centimeters.\" \/>\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Subtract Whole Numbers<\/h3>\r\n<h4>Use Subtraction Notation<\/h4>\r\nIn the following exercises, translate the following from math notation to words.\r\n<ol>\r\n \t<li>[latex]14 - 5[\/latex][reveal-answer q=\"246819\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"246819\"]fourteen minus five; the difference of fourteen and five[\/hidden-answer]<\/li>\r\n \t<li>[latex]40 - 15[\/latex]<\/li>\r\n \t<li>[latex]351 - 249[\/latex][reveal-answer q=\"968632\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"968632\"]three hundred fifty-one minus two hundred forty-nine; the difference between three hundred fifty-one and two hundred forty-nine[\/hidden-answer]<\/li>\r\n \t<li>[latex]5,724 - 2,918[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Model Subtraction of Whole Numbers<\/h4>\r\nIn the following exercises, model the subtraction.\r\n<ol>\r\n \t<li>[latex]18 - 4[\/latex][reveal-answer q=\"34330\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"34330\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215715\/CNX_BMath_Figure_01_05_215_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>[latex]41 - 29[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Subtract Whole Numbers<\/h4>\r\nIn the following exercises, subtract and then check by adding.\r\n<ol>\r\n \t<li>[latex]8 - 5[\/latex][reveal-answer q=\"217308\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"217308\"]3[\/hidden-answer]<\/li>\r\n \t<li>[latex]12 - 7[\/latex]<\/li>\r\n \t<li>[latex]23 - 9[\/latex][reveal-answer q=\"394017\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"394017\"]14[\/hidden-answer]<\/li>\r\n \t<li>[latex]46 - 21[\/latex]<\/li>\r\n \t<li>[latex]82 - 59[\/latex][reveal-answer q=\"680195\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"680195\"]23[\/hidden-answer]<\/li>\r\n \t<li>[latex]110 - 87[\/latex]<\/li>\r\n \t<li>[latex]539 - 217[\/latex][reveal-answer q=\"150101\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"150101\"]322[\/hidden-answer]<\/li>\r\n \t<li>[latex]415 - 296[\/latex]<\/li>\r\n \t<li>[latex]1,020 - 640[\/latex][reveal-answer q=\"750552\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"750552\"]380[\/hidden-answer]<\/li>\r\n \t<li>[latex]8,355 - 3,947[\/latex]<\/li>\r\n \t<li>[latex]10,000 - 15[\/latex][reveal-answer q=\"695000\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"695000\"]9,985[\/hidden-answer]<\/li>\r\n \t<li>[latex]54,925 - 35,647[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Translate Word Phrases to Math Notation<\/h4>\r\nIn the following exercises, translate and simplify.\r\n<ol>\r\n \t<li>the difference of nineteen and thirteen[reveal-answer q=\"504215\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"504215\"]19 \u2212 13; 6[\/hidden-answer]<\/li>\r\n \t<li>subtract sixty-five from one hundred<\/li>\r\n \t<li>seventy-four decreased by eight[reveal-answer q=\"766833\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"766833\"]74 \u2212 8; 66[\/hidden-answer]<\/li>\r\n \t<li>twenty-three less than forty-one<\/li>\r\n<\/ol>\r\n<h4>Subtract Whole Numbers in Applications<\/h4>\r\nIn the following exercises, solve.\r\n<h5>Temperature<\/h5>\r\nThe high temperature in Peoria one day was [latex]86[\/latex] degrees Fahrenheit and the low temperature was [latex]28[\/latex] degrees Fahrenheit. What was the difference between the high and low temperatures?\r\n\r\n[reveal-answer q=\"524103\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"524103\"]58 degrees Fahrenheit[\/hidden-answer]\r\n<h5>Savings<\/h5>\r\nLynn wants to go on a cruise that costs [latex]\\$2,485[\/latex]. She has [latex]\\$948[\/latex] in her vacation savings account. How much more does she need to save in order to pay for the cruise?\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Multiply Whole Numbers<\/h3>\r\n<h4>Use Multiplication Notation<\/h4>\r\nIn the following exercises, translate from math notation to words.\r\n<ol>\r\n \t<li>[latex]8\\times 5[\/latex][reveal-answer q=\"118725\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"118725\"]eight times five the product of eight and five[\/hidden-answer]<\/li>\r\n \t<li>[latex]6\\cdot 14[\/latex]<\/li>\r\n \t<li>[latex]\\left(10\\right)\\left(95\\right)[\/latex][reveal-answer q=\"482378\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"482378\"]ten times ninety-five; the product of ten and ninety-five[\/hidden-answer]<\/li>\r\n \t<li>[latex]54\\left(72\\right)[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Model Multiplication of Whole Numbers<\/h4>\r\nIn the following exercises, model the multiplication.\r\n<ol>\r\n \t<li>[latex]2\\times 4[\/latex][reveal-answer q=\"695534\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"695534\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215716\/CNX_BMath_Figure_01_05_218_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>[latex]3\\times 8[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Multiply Whole Numbers<\/h4>\r\nIn the following exercises, fill in the missing values in each chart.\r\n<h5>Exercises 1<\/h5>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215717\/CNX_BMath_Figure_01_05_226_img.png\" alt=\"A table with 10 rows down and 10 rows across. The first row and first column are headers and include the numbers 0 through 9 both across and down, with a plus sign in the first cell. The numbers across in the second row down appear as follows: 0, 0, 0, 0, 0, 0, null, 0, null, 0,0. The numbers across in the third row down appear as follows: 1, 0, 1, 2, null, 4, 5, 6, 7, null, 9. The numbers across in the fourth row down appear as follows: 2, 0, null, 4, null, 8, 10, null, 14, 16, null. The numbers across in the fifth row down appear as follows: 3, null, 3, null, 9, null, null, 18, null, 24, null. The numbers across in the sixth row down appear as follows: 4, 0, 4, 0, 12, null, null, 24, null, null, 36. The numbers across in the seventh row down appear as follows:5, 0, 5, 10, null, 20, null, 30, 35, 40, 45. The numbers across in the eighth row down appear as follows: 6, null, null, 12, 18, null, null, 36, 42, null, 54. The numbers across in the ninth row down appear as follows: 7, 0, 7, null, 21, null, 35, null, null, 56, 63. The numbers in the tenth row down appear as follows: 8, 0, 8, 16, null, 32, null, 48, null, 64, null. The numbers in the eleventh row down appear across as follows: 9, null, null, 18, 27, 36, null, null, 63, 72, null.\" \/>\r\n\r\n[reveal-answer q=\"710456\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"710456\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215719\/CNX_BMath_Figure_01_05_227_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]\r\n<h5>Exercises 2<\/h5>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215721\/CNX_BMath_Figure_01_05_228_img.png\" alt=\"An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The first row has the values \" \/>\r\n<h4>Multiply Whole Numbers<\/h4>\r\nIn the following exercises, multiply.\r\n<ol>\r\n \t<li>[latex]0\\cdot 14[\/latex][reveal-answer q=\"182293\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"182293\"]0[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\left(256\\right)0[\/latex]<\/li>\r\n \t<li>[latex]1\\cdot 99[\/latex][reveal-answer q=\"649848\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"649848\"]99[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\left(4,789\\right)1[\/latex]<\/li>\r\n \t<li>[latex]7\\cdot 4[\/latex][reveal-answer q=\"576249\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"576249\"]28[\/hidden-answer]<\/li>\r\n \t<li>[latex]4\\cdot 7[\/latex][reveal-answer q=\"80950\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"80950\"]28[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\left(25\\right)\\left(6\\right)[\/latex]<\/li>\r\n \t<li>[latex]9,261\\times 3[\/latex][reveal-answer q=\"251819\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"251819\"]27,783[\/hidden-answer]<\/li>\r\n \t<li>[latex]48\\cdot 76[\/latex]<\/li>\r\n \t<li>[latex]64\\cdot 10[\/latex][reveal-answer q=\"902962\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"902962\"]640[\/hidden-answer]<\/li>\r\n \t<li>[latex]1,000\\left(22\\right)[\/latex]<\/li>\r\n \t<li>[latex]162\\times 493[\/latex][reveal-answer q=\"82110\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"82110\"]79,866[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\left(601\\right)\\left(943\\right)[\/latex]<\/li>\r\n \t<li>[latex]3,624\\times 517[\/latex][reveal-answer q=\"146410\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"146410\"]1,873,608[\/hidden-answer]<\/li>\r\n \t<li>[latex]10,538\\cdot 22[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Translate Word Phrases to Math Notation<\/h4>\r\nIn the following exercises, translate and simplify.\r\n<ol>\r\n \t<li>the product of [latex]15[\/latex] and [latex]28[\/latex][reveal-answer q=\"323141\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"323141\"]15(28); 420[\/hidden-answer]<\/li>\r\n \t<li>ninety-four times thirty-three<\/li>\r\n \t<li>twice [latex]575[\/latex][reveal-answer q=\"180155\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"180155\"]2(575); 1,150[\/hidden-answer]<\/li>\r\n \t<li>ten times two hundred sixty-four<\/li>\r\n<\/ol>\r\n<h4>Multiply Whole Numbers in Applications<\/h4>\r\nIn the following exercises, solve.\r\n<h5>Gardening<\/h5>\r\nGeniece bought [latex]8[\/latex] packs of marigolds to plant in her yard. Each pack has [latex]6[\/latex] flowers. How many marigolds did Geniece buy?\r\n\r\n[reveal-answer q=\"73854\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"73854\"]48 marigolds[\/hidden-answer]\r\n<h5>Cooking<\/h5>\r\nRatika is making rice for a dinner party. The number of cups of water is twice the number of cups of rice. If Ratika plans to use [latex]4[\/latex] cups of rice, how many cups of water does she need?\r\n<h5>Multiplex<\/h5>\r\nThere are twelve theaters at the multiplex and each theater has [latex]150[\/latex] seats. What is the total number of seats at the multiplex?\r\n\r\n[reveal-answer q=\"187019\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"187019\"]1,800 seats[\/hidden-answer]\r\n<h5>Roofing<\/h5>\r\nLewis needs to put new shingles on his roof. The roof is a rectangle, [latex]30[\/latex] feet by [latex]24[\/latex] feet. What is the area of the roof?\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Divide Whole Numbers<\/h3>\r\n<h4>Use Division Notation<\/h4>\r\nTranslate from math notation to words.\r\n<ol>\r\n \t<li>[latex]54\\div 9[\/latex][reveal-answer q=\"854648\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"854648\"]fifty-four divided by nine; the quotient of fifty-four and nine[\/hidden-answer]<\/li>\r\n \t<li>[latex]42\/7[\/latex]<\/li>\r\n \t<li>[latex]\\frac{72}{8}[\/latex][reveal-answer q=\"622029\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"622029\"]seventy-two divided by eight; the quotient of seventy-two and eight[\/hidden-answer]<\/li>\r\n \t<li>[latex]6\\overline{)48}[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Model Division of Whole Numbers<\/h4>\r\nIn the following exercises, model.\r\n<ol>\r\n \t<li>[latex]8\\div 2[\/latex][reveal-answer q=\"737734\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"737734\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215722\/CNX_BMath_Figure_01_05_220_img.png\" alt=\"No Alt Text\" \/>[\/hidden-answer]<\/li>\r\n \t<li>[latex]3\\overline{)12}[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Divide Whole Numbers<\/h4>\r\nIn the following exercises, divide. Then check by multiplying.\r\n<ol>\r\n \t<li>[latex]14\\div 2[\/latex][reveal-answer q=\"963808\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"963808\"]7[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{32}{8}[\/latex]<\/li>\r\n \t<li>[latex]52\\div 4[\/latex][reveal-answer q=\"792177\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"792177\"]13[\/hidden-answer]<\/li>\r\n \t<li>[latex]26\\overline{)26}[\/latex]<\/li>\r\n \t<li>[latex]\\frac{97}{1}[\/latex][reveal-answer q=\"960746\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"960746\"]97[\/hidden-answer]<\/li>\r\n \t<li>[latex]0\\div 52[\/latex]<\/li>\r\n \t<li>[latex]100\\div 0[\/latex][reveal-answer q=\"141774\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"141774\"]undefined[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{355}{5}[\/latex]<\/li>\r\n \t<li>[latex]3828\\div 6[\/latex][reveal-answer q=\"150895\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"150895\"]638[\/hidden-answer]<\/li>\r\n \t<li>[latex]31\\overline{)1,519}[\/latex]<\/li>\r\n \t<li>[latex]\\frac{7505}{25}[\/latex][reveal-answer q=\"911783\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"911783\"]300 R5[\/hidden-answer]<\/li>\r\n \t<li>[latex]5,166\\div 42[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Translate Word Phrases to Math Notation<\/h4>\r\nIn the following exercises, translate and simplify.\r\n<ol>\r\n \t<li>the quotient of [latex]64[\/latex] and [latex]16[\/latex][reveal-answer q=\"641059\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"641059\"]64 \u00f7 16; 4[\/hidden-answer]<\/li>\r\n \t<li>the quotient of [latex]572[\/latex] and [latex]52[\/latex]<\/li>\r\n<\/ol>\r\n<h4>Divide Whole Numbers in Applications<\/h4>\r\nIn the following exercises, solve.\r\n<h5>Ribbon<\/h5>\r\nOne spool of ribbon is [latex]27[\/latex] feet. Lizbeth uses [latex]3[\/latex] feet of ribbon for each gift basket that she wraps. How many gift baskets can Lizbeth wrap from one spool of ribbon?\r\n\r\n[reveal-answer q=\"915231\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"915231\"]9 baskets[\/hidden-answer]\r\n<h5>Juice<\/h5>\r\nOne carton of fruit juice is [latex]128[\/latex] ounces. How many [latex]4[\/latex] ounce cups can Shayla fill from one carton of juice?\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox examples\">\r\n<h3>Chapter Practice Test<\/h3>\r\nDetermine which of the following numbers are a) counting numbers and b)\u00a0whole numbers.\r\n<ol>\r\n \t<li>[latex]0,4,87[\/latex]\r\n[reveal-answer q=\"527977\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"527977\"]\r\na) Counting numbers: 4, 87\r\nb) Whole numbers: 0, 4, 8[\/hidden-answer]<\/li>\r\n<\/ol>\r\nFind the place value of the given digits in the number [latex]549,362[\/latex].\r\n<ol>\r\n \t<li>[latex]9[\/latex]<\/li>\r\n \t<li>[latex]6[\/latex]<\/li>\r\n \t<li>[latex]2[\/latex]<\/li>\r\n \t<li>[latex]5[\/latex]<\/li>\r\n<\/ol>\r\nWrite each number as a whole number using digits.\r\n<ol>\r\n \t<li>six hundred thirteen[reveal-answer q=\"210896\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"210896\"]613[\/hidden-answer]<\/li>\r\n \t<li>fifty-five thousand two hundred eight[reveal-answer q=\"707194\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"707194\"]55,208[\/hidden-answer]<\/li>\r\n<\/ol>\r\nRound [latex]25,849[\/latex] to the nearest hundred.\r\n\r\nSimplify.\r\n<ol>\r\n \t<li>[latex]45+23[\/latex][reveal-answer q=\"142971\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"142971\"]68[\/hidden-answer]<\/li>\r\n \t<li>[latex]65 - 42[\/latex]<\/li>\r\n \t<li>[latex]85\\div 5[\/latex][reveal-answer q=\"950734\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"950734\"]17[\/hidden-answer]<\/li>\r\n \t<li>[latex]1,000\\times 8[\/latex]<\/li>\r\n \t<li>[latex]90 - 58[\/latex][reveal-answer q=\"298963\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"298963\"]32[\/hidden-answer]<\/li>\r\n \t<li>[latex]73+89[\/latex]<\/li>\r\n \t<li>[latex]\\left(0\\right)\\left(12,675\\right)[\/latex][reveal-answer q=\"934664\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"934664\"]0[\/hidden-answer]<\/li>\r\n \t<li>[latex]634+255[\/latex]<\/li>\r\n \t<li>[latex]\\frac{0}{9}[\/latex][reveal-answer q=\"879105\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"879105\"]0[\/hidden-answer]<\/li>\r\n \t<li>[latex]8\\overline{)128}[\/latex]<\/li>\r\n \t<li>[latex]145 - 79[\/latex][reveal-answer q=\"68588\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"68588\"]66[\/hidden-answer]<\/li>\r\n \t<li>[latex]299+836[\/latex]<\/li>\r\n \t<li>[latex]7\\cdot 475[\/latex][reveal-answer q=\"349800\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"349800\"]3,325[\/hidden-answer]<\/li>\r\n \t<li>[latex]8,528+704[\/latex]<\/li>\r\n \t<li>[latex]35\\left(14\\right)[\/latex][reveal-answer q=\"204461\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"204461\"]490[\/hidden-answer]<\/li>\r\n \t<li>[latex]\\frac{26}{0}[\/latex]<\/li>\r\n \t<li>[latex]733 - 291[\/latex][reveal-answer q=\"840800\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"840800\"]442[\/hidden-answer]<\/li>\r\n \t<li>[latex]4,916 - 1,538[\/latex]<\/li>\r\n \t<li>[latex]495\\div 45[\/latex][reveal-answer q=\"213882\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"213882\"]11[\/hidden-answer]<\/li>\r\n \t<li>[latex]52\\times 983[\/latex]<\/li>\r\n<\/ol>\r\nTranslate each phrase to math notation and then simplify.\r\n<ol>\r\n \t<li>The sum of [latex]16[\/latex] and [latex]58[\/latex][reveal-answer q=\"573271\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"573271\"]16 + 58; 74[\/hidden-answer]<\/li>\r\n \t<li>The product of [latex]9[\/latex] and [latex]15[\/latex]<\/li>\r\n \t<li>The difference of [latex]32[\/latex] and [latex]18[\/latex][reveal-answer q=\"566281\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"566281\"]32 \u2212 18; 14[\/hidden-answer]<\/li>\r\n \t<li>The quotient of [latex]63[\/latex] and [latex]21[\/latex]<\/li>\r\n \t<li>Twice [latex]524[\/latex][reveal-answer q=\"86513\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"86513\"]2(524); 1,048[\/hidden-answer]<\/li>\r\n \t<li>[latex]29[\/latex] more than [latex]32[\/latex]<\/li>\r\n \t<li>[latex]50[\/latex] less than [latex]300[\/latex][reveal-answer q=\"848397\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"848397\"]300 \u2212 50; 250[\/hidden-answer]<\/li>\r\n<\/ol>\r\nIn the following exercises, solve.\r\n<ol>\r\n \t<li>LaVelle buys a jumbo bag of [latex]84[\/latex] candies to make favor bags for her son\u2019s party. If she wants to make [latex]12[\/latex] bags, how many candies should she put in each bag?<\/li>\r\n \t<li>Last month, Stan\u2019s take-home pay was [latex]\\$3,816[\/latex] and his expenses were [latex]\\$3,472[\/latex]. How much of his take-home pay did Stan have left after he paid his expenses?[reveal-answer q=\"770468\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"770468\"]Stan had $344 left.[\/hidden-answer]<\/li>\r\n \t<li>Each class at Greenville School has [latex]22[\/latex] children enrolled. The school has [latex]24[\/latex] classes. How many children are enrolled at Greenville School?<\/li>\r\n \t<li>Clayton walked [latex]12[\/latex] blocks to his mother\u2019s house, [latex]6[\/latex] blocks to the gym, and [latex]9[\/latex] blocks to the grocery store before walking the last [latex]3[\/latex] blocks home. What was the total number of blocks that Clayton walked?[reveal-answer q=\"992095\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"992095\"]Clayton walked 30 blocks[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/div>\r\n<h2>Contribute!<\/h2><div style=\"margin-bottom: 8px;\">Did you have an idea for improving this content? We\u2019d love your input.<\/div><a href=\"https:\/\/docs.google.com\/document\/d\/1Dm4dgXoP6_JmcIJsAdODFLKeoSmlAO4nUfss7YjYNdU\" target=\"_blank\" style=\"font-size: 10pt; font-weight: 600; color: #077fab; text-decoration: none; border: 2px solid #077fab; border-radius: 7px; padding: 5px 25px; text-align: center; cursor: pointer; line-height: 1.5em;\">Improve this page<\/a><a style=\"margin-left: 16px;\" target=\"_blank\" href=\"https:\/\/docs.google.com\/document\/d\/1vy-T6DtTF-BbMfpVEI7VP_R7w2A4anzYZLXR8Pk4Fu4\">Learn More<\/a>","rendered":"<h2>Introduction to Whole Number Basics<\/h2>\n<h3>Identify Counting Numbers and Whole Numbers<\/h3>\n<p>In the following exercises, determine which of the following numbers are a) counting numbers and b) whole numbers.<\/p>\n<ol>\n<li>[latex]0,\\frac{2}{3},5,8.1,125[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q748311\">Show Solution<\/span><\/p>\n<div id=\"q748311\" class=\"hidden-answer\" style=\"display: none\">\na) Counting numbers: 5, 125<br \/>\nb) Whole numbers: 0, 5, 125\n<\/div>\n<\/div>\n<\/li>\n<li>[latex]0,\\frac{7}{10},3,20.5,300[\/latex]<\/li>\n<li>[latex]0,\\frac{4}{9},3.9,50,221[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q22770\">Show Solution<\/span><\/p>\n<div id=\"q22770\" class=\"hidden-answer\" style=\"display: none\">\na) Counting numbers: 50, 221<br \/>\nb) Whole numbers: 0, 50, 221\n<\/div>\n<\/div>\n<\/li>\n<li>[latex]0,\\frac{3}{5},10,303,422.6[\/latex]<\/li>\n<\/ol>\n<h3>Model Whole Numbers<\/h3>\n<p>In the following exercises, use place value notation to find the value of the number modeled by the [latex]\\text{base -10}[\/latex] blocks.<\/p>\n<h4>Exercise 1<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215303\/CNX_BMath_Figure_01_01_201_img.png\" alt=\"An image consisting of three items. The first item is five squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is six horizontal rods containing 10 blocks each. The third item is 1 individual block.\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q795550\">Show Solution<\/span><\/p>\n<div id=\"q795550\" class=\"hidden-answer\" style=\"display: none\">561<\/div>\n<\/div>\n<h4>Exercise 2<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215305\/CNX_BMath_Figure_01_01_202_img.png\" alt=\"An image consisting of three items. The first item is three squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is eight horizontal rods containing 10 blocks each. The third item is 4 individual blocks.\" \/><\/p>\n<h4>Exercise 3<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215307\/CNX_BMath_Figure_01_01_203_img.png\" alt=\"An image consisting of two items. The first item is four squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is 7 individual blocks.\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q271935\">Show Solution<\/span><\/p>\n<div id=\"q271935\" class=\"hidden-answer\" style=\"display: none\">407<\/div>\n<\/div>\n<h4>Exercises 4<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215309\/CNX_BMath_Figure_01_01_204_img.png\" alt=\"An image consisting of two items. The first item is six squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is 2 horizontal rods with 10 blocks each.\" \/><\/p>\n<h3>Identify the Place Value of a Digit<\/h3>\n<p>In the following exercises, find the place value of the given digits.<\/p>\n<h4>Exercise 1<\/h4>\n<p>[latex]579,601[\/latex]<\/p>\n<ol id=\"eip-id1168289429789\" class=\"circled\">\n<li>9<\/li>\n<li>6<\/li>\n<li>0<\/li>\n<li>7<\/li>\n<li>5<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q88572\">Show Solution<\/span><\/p>\n<div id=\"q88572\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>thousands<\/li>\n<li>hundreds<\/li>\n<li>tens<\/li>\n<li>ten thousands<\/li>\n<li>hundred thousands<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h4>Exercise 2<\/h4>\n<p>[latex]398,127[\/latex]<\/p>\n<ol id=\"eip-id1168287380517\" class=\"circled\">\n<li>9<\/li>\n<li>3<\/li>\n<li>2<\/li>\n<li>8<\/li>\n<li>7<\/li>\n<\/ol>\n<h4>Exercise 3<\/h4>\n<p>[latex]56,804,379[\/latex]<\/p>\n<ol id=\"eip-id1168288321948\" class=\"circled\">\n<li>8<\/li>\n<li>6<\/li>\n<li>4<\/li>\n<li>7<\/li>\n<li>0<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q504917\">Show Solution<\/span><\/p>\n<div id=\"q504917\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>hundred thousands<\/li>\n<li>millions<\/li>\n<li>thousands<\/li>\n<li>tens<\/li>\n<li>ten thousands<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h4>Exercise 4<\/h4>\n<p>[latex]78,320,465[\/latex]<\/p>\n<ol id=\"eip-id1168288227448\" class=\"circled\">\n<li>8<\/li>\n<li>4<\/li>\n<li>2<\/li>\n<li>6<\/li>\n<li>7<\/li>\n<\/ol>\n<h3>Use Place Value to Name Whole Numbers<\/h3>\n<p>In the following exercises, name each number in words.<\/p>\n<h4>Exercise 1<\/h4>\n<ol>\n<li>[latex]1,078[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q959604\">Show Solution<\/span><\/p>\n<div id=\"q959604\" class=\"hidden-answer\" style=\"display: none\">One thousand, seventy-eight<\/div>\n<\/div>\n<\/li>\n<li>[latex]5,902[\/latex]<\/li>\n<li>[latex]364,510[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q37786\">Show Solution<\/span><\/p>\n<div id=\"q37786\" class=\"hidden-answer\" style=\"display: none\">Three hundred sixty-four thousand, five hundred ten<\/div>\n<\/div>\n<\/li>\n<li>[latex]146,023[\/latex]<\/li>\n<li>[latex]5,846,103[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q68656\">Show Solution<\/span><\/p>\n<div id=\"q68656\" class=\"hidden-answer\" style=\"display: none\">Five million, eight hundred forty-six thousand, one hundred three<\/div>\n<\/div>\n<\/li>\n<li>[latex]1,458,398[\/latex]<\/li>\n<li>[latex]37,889,005[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q585894\">Show Solution<\/span><\/p>\n<div id=\"q585894\" class=\"hidden-answer\" style=\"display: none\">Thirty-seven million, eight hundred eighty-nine thousand, five<\/div>\n<\/div>\n<\/li>\n<li>[latex]62,008,465[\/latex]<\/li>\n<\/ol>\n<h4>Exercise 2<\/h4>\n<ol>\n<li>The height of Mount Ranier is [latex]14,410[\/latex] feet.\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q134524\">Show Solution<\/span><\/p>\n<div id=\"q134524\" class=\"hidden-answer\" style=\"display: none\">Fourteen thousand, four hundred ten<\/div>\n<\/div>\n<\/li>\n<li>The height of Mount Adams is [latex]12,276[\/latex] feet.<\/li>\n<li>Seventy years is [latex]613,200[\/latex] hours.\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q65477\">Show Solution<\/span><\/p>\n<div id=\"q65477\" class=\"hidden-answer\" style=\"display: none\">Six hundred thirteen thousand, two hundred<\/div>\n<\/div>\n<\/li>\n<li>One year is [latex]525,600[\/latex] minutes.<\/li>\n<li>The U.S. Census estimate of the population of Miami-Dade county was [latex]2,617,176[\/latex].\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q998783\">Show Solution<\/span><\/p>\n<div id=\"q998783\" class=\"hidden-answer\" style=\"display: none\">Two million, six hundred seventeen thousand, one hundred seventy-six<\/div>\n<\/div>\n<\/li>\n<li>The population of Chicago was [latex]2,718,782[\/latex].<\/li>\n<li>There are projected to be [latex]23,867,000[\/latex] college and university students in the US in five years.\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q49064\">Show Solution<\/span><\/p>\n<div id=\"q49064\" class=\"hidden-answer\" style=\"display: none\">Twenty-three million, eight hundred sixty-seven thousand<\/div>\n<\/div>\n<\/li>\n<li>About twelve years ago there were [latex]20,665,415[\/latex] registered automobiles in California.<\/li>\n<li>The population of China is expected to reach [latex]1,377,583,156[\/latex] in [latex]2016[\/latex].\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q966528\">Show Solution<\/span><\/p>\n<div id=\"q966528\" class=\"hidden-answer\" style=\"display: none\">One billion, three hundred seventy-seven million, five hundred eighty-three thousand, one hundred fifty-six<\/div>\n<\/div>\n<\/li>\n<li>The population of India is estimated at [latex]1,267,401,849[\/latex] as of July [latex]1,2014[\/latex].<\/li>\n<\/ol>\n<h3>Use Place Value to Write Whole Numbers<\/h3>\n<p>In the following exercises, write each number as a whole number using digits.<\/p>\n<ol>\n<li>four hundred twelve\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q466512\">Show Solution<\/span><\/p>\n<div id=\"q466512\" class=\"hidden-answer\" style=\"display: none\">412<\/div>\n<\/div>\n<\/li>\n<li>two hundred fifty-three<\/li>\n<li>thirty-five thousand, nine hundred seventy-five\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q723592\">Show Solution<\/span><\/p>\n<div id=\"q723592\" class=\"hidden-answer\" style=\"display: none\">35,975<\/div>\n<\/div>\n<\/li>\n<li>sixty-one thousand, four hundred fifteen<\/li>\n<li>eleven million, forty-four thousand, one hundred sixty-seven\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q124220\">Show Solution<\/span><\/p>\n<div id=\"q124220\" class=\"hidden-answer\" style=\"display: none\">11,044,167<\/div>\n<\/div>\n<\/li>\n<li>eighteen million, one hundred two thousand, seven hundred eighty-three<\/li>\n<li>three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q484877\">Show Solution<\/span><\/p>\n<div id=\"q484877\" class=\"hidden-answer\" style=\"display: none\">3,226,512,017<\/div>\n<\/div>\n<\/li>\n<li>eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six<\/li>\n<li>The population of the world was estimated to be seven billion, one hundred seventy-three million people.\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q987257\">Show Solution<\/span><\/p>\n<div id=\"q987257\" class=\"hidden-answer\" style=\"display: none\">7,173,000,000<\/div>\n<\/div>\n<\/li>\n<li>The age of the solar system is estimated to be four billion, five hundred sixty-eight million years.<\/li>\n<li>Lake Tahoe has a capacity of thirty-nine trillion gallons of water.\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q304289\">Show Solution<\/span><\/p>\n<div id=\"q304289\" class=\"hidden-answer\" style=\"display: none\">39,000,000,000,000<\/div>\n<\/div>\n<\/li>\n<li>The federal government budget was three trillion, five hundred billion dollars.<\/li>\n<\/ol>\n<h3>Round Whole Numbers<\/h3>\n<p>In the following exercises, round to the indicated place value.<\/p>\n<p>Round to the nearest ten:<\/p>\n<ol>\n<li>[latex]386[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q37556\">Show Solution<\/span><\/p>\n<div id=\"q37556\" class=\"hidden-answer\" style=\"display: none\">390<\/div>\n<\/div>\n<\/li>\n<li>[latex]2,931[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q160735\">Show Solution<\/span><\/p>\n<div id=\"q160735\" class=\"hidden-answer\" style=\"display: none\">2,930<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<p>Round to the nearest ten:<\/p>\n<ol>\n<li>[latex]792[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q516302\">Show Solution<\/span><\/p>\n<div id=\"q516302\" class=\"hidden-answer\" style=\"display: none\">790<\/div>\n<\/div>\n<\/li>\n<li>[latex]5,647[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q827604\">Show Solution<\/span><\/p>\n<div id=\"q827604\" class=\"hidden-answer\" style=\"display: none\">5,650<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<p>Round to the nearest hundred:<\/p>\n<ol>\n<li>[latex]13,748[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q235663\">Show Solution<\/span><\/p>\n<div id=\"q235663\" class=\"hidden-answer\" style=\"display: none\">13,700<\/div>\n<\/div>\n<\/li>\n<li>[latex]391,794[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q518309\">Show Solution<\/span><\/p>\n<div id=\"q518309\" class=\"hidden-answer\" style=\"display: none\">391,800<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<p>Round to the nearest hundred:<\/p>\n<ol>\n<li>[latex]28,166[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q631143\">Show Solution<\/span><\/p>\n<div id=\"q631143\" class=\"hidden-answer\" style=\"display: none\">28,200<\/div>\n<\/div>\n<\/li>\n<li>[latex]481,628[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q954265\">Show Solution<\/span><\/p>\n<div id=\"q954265\" class=\"hidden-answer\" style=\"display: none\">481,700<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<p>Round to the nearest ten:<\/p>\n<ol>\n<li>[latex]1,492[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q625392\">Show Solution<\/span><\/p>\n<div id=\"q625392\" class=\"hidden-answer\" style=\"display: none\">1,490<\/div>\n<\/div>\n<\/li>\n<li>[latex]1,497[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q438795\">Show Solution<\/span><\/p>\n<div id=\"q438795\" class=\"hidden-answer\" style=\"display: none\">1,500<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<p>Round to the nearest thousand:<\/p>\n<ol>\n<li>[latex]2,391[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q24707\">Show Solution<\/span><\/p>\n<div id=\"q24707\" class=\"hidden-answer\" style=\"display: none\">2,000<\/div>\n<\/div>\n<\/li>\n<li>[latex]2,795[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q645575\">Show Solution<\/span><\/p>\n<div id=\"q645575\" class=\"hidden-answer\" style=\"display: none\">3,000<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<p>Round to the nearest hundred:<\/p>\n<ol>\n<li>[latex]63,994[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q231300\">Show Solution<\/span><\/p>\n<div id=\"q231300\" class=\"hidden-answer\" style=\"display: none\">[latex]64,000[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]63,949[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q994544\">Show Solution<\/span><\/p>\n<div id=\"q994544\" class=\"hidden-answer\" style=\"display: none\">[latex]63,900[\/latex]<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<p>Round to the nearest thousand:<\/p>\n<ol>\n<li>[latex]163,584[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q485968\">Show Solution<\/span><\/p>\n<div id=\"q485968\" class=\"hidden-answer\" style=\"display: none\">164,000<\/div>\n<\/div>\n<\/li>\n<li>[latex]163,246[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q310962\">Show Solution<\/span><\/p>\n<div id=\"q310962\" class=\"hidden-answer\" style=\"display: none\">163,000<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<div class=\"textbox exercises\">\n<h3>Everyday Math<\/h3>\n<h4>Writing a Check<\/h4>\n<p>Jorge bought a car for [latex]\\$24,493[\/latex]. He paid for the car with a check. Write the purchase price in words.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q339555\">Show Solution<\/span><\/p>\n<div id=\"q339555\" class=\"hidden-answer\" style=\"display: none\">Twenty four thousand, four hundred ninety-three dollars<\/div>\n<\/div>\n<h4>Writing a Check<\/h4>\n<p>Marissa\u2019s kitchen remodeling cost [latex]\\$18,549[\/latex]. She wrote a check to the contractor. Write the amount paid in words.<\/p>\n<h4>Buying a Car<\/h4>\n<p>Jorge bought a car for [latex]\\$24,493[\/latex]. Round the price to the nearest:<\/p>\n<ol id=\"eip-id1168288191463\" class=\"circled\">\n<li>ten dollars<\/li>\n<li>hundred dollars<\/li>\n<li>thousand dollars<\/li>\n<li>ten-thousand dollars<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q947795\">Show Solution<\/span><\/p>\n<div id=\"q947795\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>$24,490<\/li>\n<li>$24,500<\/li>\n<li>$24,000<\/li>\n<li>$20,000<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h4>Remodeling a Kitchen<\/h4>\n<p>Marissa\u2019s kitchen remodeling cost [latex]\\$18,549[\/latex]. Round the cost to the nearest:<\/p>\n<ol id=\"eip-id1168287387980\" class=\"circled\">\n<li>ten dollars<\/li>\n<li>hundred dollars<\/li>\n<li>thousand dollars<\/li>\n<li>ten-thousand dollars<\/li>\n<\/ol>\n<h4>Population<\/h4>\n<p>The population of China was [latex]1,355,692,544[\/latex] in 2014. Round the population to the nearest:<\/p>\n<ol id=\"eip-id1168289677973\" class=\"circled\">\n<li>billion people<\/li>\n<li>hundred-million people<\/li>\n<li>million people<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q266738\">Show Solution<\/span><\/p>\n<div id=\"q266738\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>[latex]1,000,000,000[\/latex]<\/li>\n<li>[latex]1,400,000,000[\/latex]<\/li>\n<li>[latex]1,356,000,000[\/latex]<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h4>Astronomy<\/h4>\n<p>The average distance between Earth and the sun is [latex]149,597,888[\/latex] kilometers. Round the distance to the nearest:<\/p>\n<ol id=\"eip-id1168288211528\" class=\"circled\">\n<li>hundred-million kilometers<\/li>\n<li>ten-million kilometers<\/li>\n<li>million kilometers<\/li>\n<\/ol>\n<\/div>\n<div class=\"textbox learning-objectives\">\n<h3>Writing Exercises<\/h3>\n<p>In your own words, explain the difference between the counting numbers and the whole numbers.<\/p>\n<p><textarea aria-label=\"Your Answer\" rows=\"4\"><\/textarea><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q985096\">Show Solution<\/span><\/p>\n<div id=\"q985096\" class=\"hidden-answer\" style=\"display: none\">Answers may vary. The whole numbers are the counting numbers with the inclusion of zero.<\/div>\n<\/div>\n<p>Give an example from your everyday life where it helps to round numbers.<\/p>\n<p><textarea aria-label=\"Your Answer\" rows=\"4\"><\/textarea><\/p>\n<\/div>\n<h2>Adding Whole Numbers<\/h2>\n<h3>Use Addition Notation<\/h3>\n<p>In the following exercises, translate the following from math expressions to words.<\/p>\n<ol>\n<li>[latex]5+2[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q166245\">Show Solution<\/span><\/p>\n<div id=\"q166245\" class=\"hidden-answer\" style=\"display: none\">five plus two; the sum of 5 and 2.<\/div>\n<\/div>\n<\/li>\n<li>[latex]6+3[\/latex]<\/li>\n<li>[latex]13+18[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q999074\">Show Solution<\/span><\/p>\n<div id=\"q999074\" class=\"hidden-answer\" style=\"display: none\">thirteen plus eighteen; the sum of 13 and 18.<\/div>\n<\/div>\n<\/li>\n<li>[latex]15+16[\/latex]<\/li>\n<li>[latex]214+642[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q941679\">Show Solution<\/span><\/p>\n<div id=\"q941679\" class=\"hidden-answer\" style=\"display: none\">two hundred fourteen plus six hundred forty-two; the sum of 214 and 642<\/div>\n<\/div>\n<\/li>\n<li>[latex]438+113[\/latex]<\/li>\n<\/ol>\n<h3>Model Addition of Whole Numbers<\/h3>\n<p>In the following exercises, model the addition.<\/p>\n<ol>\n<li>[latex]2+4[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q955375\">Show Solution<\/span><\/p>\n<div id=\"q955375\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215345\/CNX_BMath_Figure_01_02_201_img.png\" alt=\"No Alt Text\" \/><br \/>\n[latex]2+4=6[\/latex]\n<\/div>\n<\/div>\n<\/li>\n<li>[latex]5+3[\/latex]<\/li>\n<li>[latex]8+4[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q842316\">Show Solution<\/span><\/p>\n<div id=\"q842316\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215346\/CNX_BMath_Figure_01_02_203_img.png\" alt=\"No Alt Text\" \/><br \/>\n[latex]8+4=12[\/latex]\n<\/div>\n<\/div>\n<\/li>\n<li>[latex]5+9[\/latex]<\/li>\n<li>[latex]14+75[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q793653\">Show Solution<\/span><\/p>\n<div id=\"q793653\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215347\/CNX_BMath_Figure_01_02_205_img.png\" alt=\"No Alt Text\" \/><br \/>\n[latex]14+75=89[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]15+63[\/latex]<\/li>\n<li>[latex]16+25[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q484827\">Show Solution<\/span><\/p>\n<div id=\"q484827\" class=\"hidden-answer\" style=\"display: none\">\n<img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215348\/CNX_BMath_Figure_01_02_207_img.png\" alt=\"No Alt Text\" \/><br \/>\n[latex]16+25=41[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]14+27[\/latex]<\/li>\n<\/ol>\n<h3>Add Whole Numbers<\/h3>\n<p>In the following exercises, fill in the missing values in each chart.<\/p>\n<h4>Exercise 1<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215350\/CNX_BMath_Figure_01_02_216.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q381346\">Show Solution<\/span><\/p>\n<div id=\"q381346\" class=\"hidden-answer\" style=\"display: none\">\n<img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215352\/CNX_BMath_Figure_01_02_217.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<h4>Exercise 2<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215353\/CNX_BMath_Figure_01_02_218.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values\" \/><\/p>\n<h4>Exercises 3<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215355\/CNX_BMath_Figure_01_02_220.png\" alt=\"An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q18856\">Show Solution<\/span><\/p>\n<div id=\"q18856\" class=\"hidden-answer\" style=\"display: none\">\n<img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215356\/CNX_BMath_Figure_01_02_221.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<h4>Exercise 4<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215358\/CNX_BMath_Figure_01_02_222.png\" alt=\"An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values\" \/><\/p>\n<h4>Exercise 5<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215359\/CNX_BMath_Figure_01_02_224.png\" alt=\"An image of a table with 6 columns and 6 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q922304\">Show Solution<\/span><\/p>\n<div id=\"q922304\" class=\"hidden-answer\" style=\"display: none\">\n<img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215400\/CNX_BMath_Figure_01_02_225.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<h4>Exercise 6<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215401\/CNX_BMath_Figure_01_02_226.png\" alt=\"An image of a table with 5 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or first column are all null. The first row has the values\" \/><\/p>\n<h3>Add Whole Numbers<\/h3>\n<p>In the following exercises, add.<\/p>\n<ol>\n<li>[latex]0+13[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q199726\">Show Solution<\/span><\/p>\n<div id=\"q199726\" class=\"hidden-answer\" style=\"display: none\">13<\/div>\n<\/div>\n<\/li>\n<li>[latex]13+0[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q20445\">Show Solution<\/span><\/p>\n<div id=\"q20445\" class=\"hidden-answer\" style=\"display: none\">13<\/div>\n<\/div>\n<\/li>\n<li>[latex]0+5,280[\/latex]<\/li>\n<li>[latex]5,280+0[\/latex]<\/li>\n<li>[latex]8+3[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q878054\">Show Solution<\/span><\/p>\n<div id=\"q878054\" class=\"hidden-answer\" style=\"display: none\">11<\/div>\n<\/div>\n<\/li>\n<li>[latex]3+8[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q224076\">Show Solution<\/span><\/p>\n<div id=\"q224076\" class=\"hidden-answer\" style=\"display: none\">11<\/div>\n<\/div>\n<\/li>\n<li>[latex]7+5[\/latex]<\/li>\n<li>[latex]5+7[\/latex]<\/li>\n<li>[latex]45+33[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q681619\">Show Solution<\/span><\/p>\n<div id=\"q681619\" class=\"hidden-answer\" style=\"display: none\">[latex]78[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]37+22[\/latex]<\/li>\n<li>[latex]71+28[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q681715\">Show Solution<\/span><\/p>\n<div id=\"q681715\" class=\"hidden-answer\" style=\"display: none\">[latex]99[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]43+53[\/latex]<\/li>\n<li>[latex]26+59[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q71616\">Show Solution<\/span><\/p>\n<div id=\"q71616\" class=\"hidden-answer\" style=\"display: none\">[latex]85[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]38+17[\/latex]<\/li>\n<li>[latex]64+78[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q45926\">Show Solution<\/span><\/p>\n<div id=\"q45926\" class=\"hidden-answer\" style=\"display: none\">[latex]142[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]92+39[\/latex]<\/li>\n<li>[latex]168+325[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q92292\">Show Solution<\/span><\/p>\n<div id=\"q92292\" class=\"hidden-answer\" style=\"display: none\">[latex]493[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]247+149[\/latex]<\/li>\n<li>[latex]584+277[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q234000\">Show Solution<\/span><\/p>\n<div id=\"q234000\" class=\"hidden-answer\" style=\"display: none\">[latex]861[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]175+648[\/latex]<\/li>\n<li>[latex]832+199[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q508858\">Show Solution<\/span><\/p>\n<div id=\"q508858\" class=\"hidden-answer\" style=\"display: none\">[latex]1,031[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]775+369[\/latex]<\/li>\n<li>[latex]6,358+492[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q717055\">Show Solution<\/span><\/p>\n<div id=\"q717055\" class=\"hidden-answer\" style=\"display: none\">[latex]6,850[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]9,184+578[\/latex]<\/li>\n<li>[latex]3,740+18,593[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q92383\">Show Solution<\/span><\/p>\n<div id=\"q92383\" class=\"hidden-answer\" style=\"display: none\">[latex]22,333[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]6,118+15,990[\/latex]<\/li>\n<li>[latex]485,012+619,848[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q232592\">Show Solution<\/span><\/p>\n<div id=\"q232592\" class=\"hidden-answer\" style=\"display: none\">[latex]1,104,860[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]368,911+857,289[\/latex]<\/li>\n<li>[latex]24,731+592+3,868[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q758935\">Show Solution<\/span><\/p>\n<div id=\"q758935\" class=\"hidden-answer\" style=\"display: none\">[latex]29,191[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]28,925+817+4,593[\/latex]<\/li>\n<li>[latex]8,015+76,946+16,570[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q324913\">Show Solution<\/span><\/p>\n<div id=\"q324913\" class=\"hidden-answer\" style=\"display: none\">[latex]101,531[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]6,291+54,107+28,635[\/latex]<\/li>\n<\/ol>\n<h3>Translate Word Phrases to Math Notation<\/h3>\n<p>In the following exercises, translate each phrase into math notation and then simplify.<\/p>\n<ol>\n<li>the sum of [latex]13[\/latex] and [latex]18[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q917194\">Show Solution<\/span><\/p>\n<div id=\"q917194\" class=\"hidden-answer\" style=\"display: none\">[latex]13+18=31[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>the sum of [latex]12[\/latex] and [latex]19[\/latex]<\/li>\n<li>the sum of [latex]90[\/latex] and [latex]65[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q942571\">Show Solution<\/span><\/p>\n<div id=\"q942571\" class=\"hidden-answer\" style=\"display: none\">[latex]90+65=155[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>the sum of [latex]70[\/latex] and [latex]38[\/latex]<\/li>\n<li>[latex]33[\/latex] increased by [latex]49[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q540539\">Show Solution<\/span><\/p>\n<div id=\"q540539\" class=\"hidden-answer\" style=\"display: none\">[latex]33+49=82[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]68[\/latex] increased by [latex]25[\/latex]<\/li>\n<li>[latex]250[\/latex] more than [latex]599[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q122368\">Show Solution<\/span><\/p>\n<div id=\"q122368\" class=\"hidden-answer\" style=\"display: none\">[latex]250+599=849[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]115[\/latex] more than [latex]286[\/latex]<\/li>\n<li>the total of [latex]628[\/latex] and [latex]77[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q424587\">Show Solution<\/span><\/p>\n<div id=\"q424587\" class=\"hidden-answer\" style=\"display: none\">[latex]628+77=705[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>the total of [latex]593[\/latex] and [latex]79[\/latex]<\/li>\n<li>[latex]1,482[\/latex] added to [latex]915[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q683275\">Show Solution<\/span><\/p>\n<div id=\"q683275\" class=\"hidden-answer\" style=\"display: none\">[latex]915+1,482=2,397[\/latex]<\/div>\n<\/div>\n<\/li>\n<li>[latex]2,719[\/latex] added to [latex]682[\/latex]<\/li>\n<\/ol>\n<h3>Add Whole Numbers in Applications<\/h3>\n<p>In the following exercises, solve the problem.<\/p>\n<h4>Home remodeling<\/h4>\n<p>Sophia remodeled her kitchen and bought a new range, microwave, and dishwasher. The range cost [latex]\\$1,100[\/latex], the microwave cost [latex]\\$250[\/latex], and the dishwasher cost [latex]\\$525[\/latex]. What was the total cost of these three appliances?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q184655\">Show Solution<\/span><\/p>\n<div id=\"q184655\" class=\"hidden-answer\" style=\"display: none\">The total cost was $1,875.<\/div>\n<\/div>\n<h4>Sports equipment<\/h4>\n<p>Aiden bought a baseball bat, helmet, and glove. The bat cost [latex]\\$299[\/latex], the helmet cost [latex]\\$35[\/latex], and the glove cost [latex]\\$68[\/latex]. What was the total cost of Aiden\u2019s sports equipment?<\/p>\n<h4>Bike riding<\/h4>\n<p>Ethan rode his bike [latex]14[\/latex] miles on Monday, [latex]19[\/latex] miles on Tuesday, [latex]12[\/latex] miles on Wednesday, [latex]25[\/latex] miles on Friday, and [latex]68[\/latex] miles on Saturday. What was the total number of miles Ethan rode?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q10310\">Show Solution<\/span><\/p>\n<div id=\"q10310\" class=\"hidden-answer\" style=\"display: none\">Ethan rode 138 miles.<\/div>\n<\/div>\n<h4>Business<\/h4>\n<p>Chloe has a flower shop. Last week she made [latex]19[\/latex] floral arrangements on Monday, [latex]12[\/latex] on Tuesday, [latex]23[\/latex] on Wednesday, [latex]29[\/latex] on Thursday, and [latex]44[\/latex] on Friday. What was the total number of floral arrangements Chloe made?<\/p>\n<h4>Apartment size<\/h4>\n<p>Jackson lives in a 7 room apartment. The number of square feet in each room is [latex]238,120,156,196,100,132[\/latex], and [latex]225[\/latex]. What is the total number of square feet in all [latex]7[\/latex] rooms?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q434171\">Show Solution<\/span><\/p>\n<div id=\"q434171\" class=\"hidden-answer\" style=\"display: none\">The total square footage in the rooms is 1,167 square feet.<\/div>\n<\/div>\n<h4>Weight<\/h4>\n<p>Seven men rented a fishing boat. The weights of the men were [latex]175,192,148,169,205,181[\/latex], and [latex]\\text{225}[\/latex] pounds. What was the total weight of the seven men?<\/p>\n<h4>Salary<\/h4>\n<p>Last year Natalie\u2019s salary was [latex]\\$82,572[\/latex]. Two years ago, her salary was [latex]\\$79,316[\/latex], and three years ago it was [latex]\\$75,298[\/latex]. What is the total amount of Natalie\u2019s salary for the past three years?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q238039\">Show Solution<\/span><\/p>\n<div id=\"q238039\" class=\"hidden-answer\" style=\"display: none\">Natalie\u2019s total salary is $237,186.<\/div>\n<\/div>\n<h4>Home sales<\/h4>\n<p>Emma is a realtor. Last month, she sold three houses. The selling prices of the houses were [latex]\\$292,540,\\$505,875[\/latex], and [latex]\\$423,699[\/latex]. What was the total of the three selling prices?<\/p>\n<h3>Finding Perimeter<\/h3>\n<p>In the following exercises, find the perimeter of each figure.<\/p>\n<h4>Exercise 1<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215402\/CNX_BMath_Figure_01_02_208_img.png\" alt=\"An image of a triangle with side lengths of 14 inches, 12 inches, and 18 inches.\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q409946\">Show Solution<\/span><\/p>\n<div id=\"q409946\" class=\"hidden-answer\" style=\"display: none\">The perimeter of the figure is 44 inches.<\/div>\n<\/div>\n<h4>Exercise 2<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215403\/CNX_BMath_Figure_01_02_209_img.png\" alt=\"An image of a right triangle with base of 12 centimeters, height of 5 centimeters, and diagonal hypotenuse of 13 centimeters.\" \/><\/p>\n<h4>Exercise 3<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215404\/CNX_BMath_Figure_01_02_210_img.png\" alt=\"A rectangle 21 meters wide and 7 meters tall.\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q20827\">Show Solution<\/span><\/p>\n<div id=\"q20827\" class=\"hidden-answer\" style=\"display: none\">The perimeter of the figure is 56 meters.<\/div>\n<\/div>\n<h4>Exercise 4<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215406\/CNX_BMath_Figure_01_02_211_img.png\" alt=\"A rectangle 19 feet wide and and 14 feet tall.\" \/><\/p>\n<h4>Exercise 5<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215407\/CNX_BMath_Figure_01_02_212_img.png\" alt=\"A trapezoid with horizontal top length of 19 yards, the side lengths are 18 yards and are diagonal, and the horizontal bottom length is 16 yards.\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q213837\">Show Solution<\/span><\/p>\n<div id=\"q213837\" class=\"hidden-answer\" style=\"display: none\">The perimeter of the figure is 71 yards.<\/div>\n<\/div>\n<h4>Exercise 6<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215408\/CNX_BMath_Figure_01_02_213_img.png\" alt=\"A trapezoid with horizontal top length of 24 meters, the side lengths are 17 meters and are diagonal, and the horizontal bottom length is 29 meters.\" \/><\/p>\n<h4>Exercise 7<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215410\/CNX_BMath_Figure_01_02_214_img.png\" alt=\"This is a rectangle-like image with six sides. Starting from the top left of the figure, the first line runs right for 24 feet. From the end of this line, the second line runs down for 7 feet. Then the third line runs left from this point for 19 feet. The fourth line runs up 3 feet. The fifth line runs left for 5 feet. The sixth line runs up for 4 feet, connecting it at a corner with start of the first line.\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q501974\">Show Solution<\/span><\/p>\n<div id=\"q501974\" class=\"hidden-answer\" style=\"display: none\">The perimeter of the figure is 62 feet.<\/div>\n<\/div>\n<h4>Exercise 8<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215411\/CNX_BMath_Figure_01_02_215_img.png\" alt=\"This is an image with 6 straight sides. Starting from the top left of the figure, the first line runs right for 25 inches. From the end of this line, the second line runs down for 10 inches. Then the third line runs left from this point for 14 inches. The fourth line runs up 7 inches. The fifth line runs left for 11 inches. The sixth line runs up, connecting it at a corner with start of the first line.\" \/><\/p>\n<div class=\"textbox exercises\">\n<h3>Everyday Math<\/h3>\n<h4>Calories<\/h4>\n<p>Paulette had a grilled chicken salad, ranch dressing, and a [latex]\\text{16-ounce}[\/latex] drink for lunch. On the restaurant\u2019s nutrition chart, she saw that each item had the following number of calories:<\/p>\n<ul>\n<li>Grilled chicken salad \u2013 [latex]320[\/latex] calories<\/li>\n<li>Ranch dressing \u2013 [latex]170[\/latex] calories<\/li>\n<li>[latex]\\text{16-ounce}[\/latex] drink \u2013 [latex]150[\/latex] calories<\/li>\n<\/ul>\n<p>What was the total number of calories of Paulette\u2019s lunch?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q460729\">Show Solution<\/span><\/p>\n<div id=\"q460729\" class=\"hidden-answer\" style=\"display: none\">The total number of calories was 640.<\/div>\n<\/div>\n<h4>Calories<\/h4>\n<p>Fred had a grilled chicken sandwich, a small order of fries, and a [latex]\\text{12-oz}[\/latex] chocolate shake for dinner. The restaurant\u2019s nutrition chart lists the following calories for each item:<\/p>\n<ul>\n<li>Grilled chicken sandwich \u2013 [latex]420[\/latex] calories<\/li>\n<li>Small fries \u2013 [latex]230[\/latex] calories<\/li>\n<li>[latex]\\text{12-oz}[\/latex] chocolate shake \u2013 [latex]580[\/latex] calories<\/li>\n<\/ul>\n<p>What was the total number of calories of Fred\u2019s dinner?<\/p>\n<h4>Test scores<\/h4>\n<p>A students needs a total of [latex]400[\/latex] points on five tests to pass a course. The student scored [latex]82,91,75,88,\\text{and}70[\/latex]. Did the student pass the course?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q490817\">Show Solution<\/span><\/p>\n<div id=\"q490817\" class=\"hidden-answer\" style=\"display: none\">Yes, he scored 406 points.<\/div>\n<\/div>\n<h4>Elevators<\/h4>\n<p>The maximum weight capacity of an elevator is [latex]1150[\/latex] pounds. Six men are in the elevator. Their weights are 210, 145, 183, 230, 159, and 164 pounds. Is the total weight below the elevators\u2019 maximum capacity?<\/p>\n<\/div>\n<div class=\"textbox learning-objectives\">\n<h3>Writing Exercises<\/h3>\n<p>How confident do you feel about your knowledge of the addition facts? If you are not fully confident, what will you do to improve your skills?<\/p>\n<p><textarea aria-label=\"Your Answer\" rows=\"4\"><\/textarea><\/p>\n<p>How have you used models to help you learn the addition facts?<\/p>\n<p><textarea aria-label=\"Your Answer\" rows=\"4\"><\/textarea><\/p>\n<\/div>\n<h2>Subtracting Whole Numbers<\/h2>\n<h3>Use Subtraction Notation<\/h3>\n<p>In the following exercises, translate from math notation to words.<\/p>\n<ol>\n<li>[latex]15 - 9[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q907003\">Show Solution<\/span><\/p>\n<div id=\"q907003\" class=\"hidden-answer\" style=\"display: none\">fifteen minus nine; the difference of fifteen and nine<\/div>\n<\/div>\n<\/li>\n<li>[latex]18 - 16[\/latex]<\/li>\n<li>[latex]42 - 35[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q438000\">Show Solution<\/span><\/p>\n<div id=\"q438000\" class=\"hidden-answer\" style=\"display: none\">forty-two minus thirty-five; the difference of forty-two and thirty-five<\/div>\n<\/div>\n<\/li>\n<li>[latex]83 - 64[\/latex]<\/li>\n<li>[latex]675 - 350[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q658915\">Show Solution<\/span><\/p>\n<div id=\"q658915\" class=\"hidden-answer\" style=\"display: none\">hundred seventy-five minus three hundred fifty; the difference of six hundred seventy-five and three hundred fifty<\/div>\n<\/div>\n<\/li>\n<li>[latex]790 - 525[\/latex]<\/li>\n<\/ol>\n<h3>Model Subtraction of Whole Numbers<\/h3>\n<p>In the following exercises, model the subtraction.<\/p>\n<ol>\n<li>[latex]5 - 2[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q500881\">Show Solution<\/span><\/p>\n<div id=\"q500881\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215508\/CNX_BMath_Figure_01_03_201_img.png\" alt=\"No Alt Text\" \/> <\/div>\n<\/div>\n<\/li>\n<li>[latex]8 - 4[\/latex]<\/li>\n<li>[latex]6 - 3[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q954065\">Show Solution<\/span><\/p>\n<div id=\"q954065\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215509\/CNX_BMath_Figure_01_03_203_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>[latex]7 - 5[\/latex]<\/li>\n<li>[latex]18 - 5[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q72584\">Show Solution<\/span><\/p>\n<div id=\"q72584\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215510\/CNX_BMath_Figure_01_03_205_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>[latex]19 - 8[\/latex]<\/li>\n<li>[latex]17 - 8[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q291800\">Show Solution<\/span><\/p>\n<div id=\"q291800\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215511\/CNX_BMath_Figure_01_03_207_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>[latex]17 - 9[\/latex]<\/li>\n<li>[latex]35 - 13[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q50122\">Show Solution<\/span><\/p>\n<div id=\"q50122\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215513\/CNX_BMath_Figure_01_03_209_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>[latex]32 - 11[\/latex]<\/li>\n<li>[latex]61 - 47[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q106018\">Show Solution<\/span><\/p>\n<div id=\"q106018\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215514\/CNX_BMath_Figure_01_03_211_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>[latex]55 - 36[\/latex]<\/li>\n<\/ol>\n<h3>Subtract Whole Numbers<\/h3>\n<p>In the following exercises, subtract and then check by adding.<\/p>\n<ol>\n<li>[latex]9 - 4[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q844854\">Show Solution<\/span><\/p>\n<div id=\"q844854\" class=\"hidden-answer\" style=\"display: none\">5<\/div>\n<\/div>\n<\/li>\n<li>[latex]9 - 3[\/latex]<\/li>\n<li>[latex]8 - 0[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q646007\">Show Solution<\/span><\/p>\n<div id=\"q646007\" class=\"hidden-answer\" style=\"display: none\">8<\/div>\n<\/div>\n<\/li>\n<li>[latex]2 - 0[\/latex]<\/li>\n<li>[latex]38 - 16[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q680896\">Show Solution<\/span><\/p>\n<div id=\"q680896\" class=\"hidden-answer\" style=\"display: none\">22<\/div>\n<\/div>\n<\/li>\n<li>[latex]45 - 21[\/latex]<\/li>\n<li>[latex]85 - 52[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q962490\">Show Solution<\/span><\/p>\n<div id=\"q962490\" class=\"hidden-answer\" style=\"display: none\">33<\/div>\n<\/div>\n<\/li>\n<li>[latex]99 - 47[\/latex]<\/li>\n<li>[latex]493 - 370[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q240556\">Show Solution<\/span><\/p>\n<div id=\"q240556\" class=\"hidden-answer\" style=\"display: none\">123<\/div>\n<\/div>\n<\/li>\n<li>[latex]268 - 106[\/latex]<\/li>\n<li>[latex]5,946 - 4,625[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q541300\">Show Solution<\/span><\/p>\n<div id=\"q541300\" class=\"hidden-answer\" style=\"display: none\">1,321<\/div>\n<\/div>\n<\/li>\n<li>[latex]7,775 - 3,251[\/latex]<\/li>\n<li>[latex]75 - 47[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q999016\">Show Solution<\/span><\/p>\n<div id=\"q999016\" class=\"hidden-answer\" style=\"display: none\">28<\/div>\n<\/div>\n<\/li>\n<li>[latex]63 - 59[\/latex]<\/li>\n<li>[latex]461 - 239[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q576255\">Show Solution<\/span><\/p>\n<div id=\"q576255\" class=\"hidden-answer\" style=\"display: none\">222<\/div>\n<\/div>\n<\/li>\n<li>[latex]486 - 257[\/latex]<\/li>\n<li>[latex]525 - 179[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q885870\">Show Solution<\/span><\/p>\n<div id=\"q885870\" class=\"hidden-answer\" style=\"display: none\">346<\/div>\n<\/div>\n<\/li>\n<li>[latex]542 - 288[\/latex]<\/li>\n<li>[latex]6,318 - 2,799[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q581346\">Show Solution<\/span><\/p>\n<div id=\"q581346\" class=\"hidden-answer\" style=\"display: none\">3,519<\/div>\n<\/div>\n<\/li>\n<li>[latex]8,153 - 3,978[\/latex]<\/li>\n<li>[latex]2,150 - 964[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q329382\">Show Solution<\/span><\/p>\n<div id=\"q329382\" class=\"hidden-answer\" style=\"display: none\">1,186<\/div>\n<\/div>\n<\/li>\n<li>[latex]4,245 - 899[\/latex]<\/li>\n<li>[latex]43,650 - 8,982[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q89751\">Show Solution<\/span><\/p>\n<div id=\"q89751\" class=\"hidden-answer\" style=\"display: none\">34,668<\/div>\n<\/div>\n<\/li>\n<li>[latex]35,162 - 7,885[\/latex]<\/li>\n<\/ol>\n<h3>Translate Word Phrases to Algebraic Expressions<\/h3>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol>\n<li>The difference of [latex]10[\/latex] and [latex]3[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q406332\">Show Solution<\/span><\/p>\n<div id=\"q406332\" class=\"hidden-answer\" style=\"display: none\">10 \u2212 3; 7<\/div>\n<\/div>\n<\/li>\n<li>The difference of [latex]12[\/latex] and [latex]8[\/latex]<\/li>\n<li>The difference of [latex]15[\/latex] and [latex]4[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q110258\">Show Solution<\/span><\/p>\n<div id=\"q110258\" class=\"hidden-answer\" style=\"display: none\">15 \u2212 4; 11<\/div>\n<\/div>\n<\/li>\n<li>The difference of [latex]18[\/latex] and [latex]7[\/latex]<\/li>\n<li>Subtract [latex]6[\/latex] from [latex]9[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q285200\">Show Solution<\/span><\/p>\n<div id=\"q285200\" class=\"hidden-answer\" style=\"display: none\">9 \u2212 6; 3<\/div>\n<\/div>\n<\/li>\n<li>Subtract [latex]8[\/latex] from [latex]9[\/latex]<\/li>\n<li>Subtract [latex]28[\/latex] from [latex]75[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q269339\">Show Solution<\/span><\/p>\n<div id=\"q269339\" class=\"hidden-answer\" style=\"display: none\">75 \u2212 28; 47<\/div>\n<\/div>\n<\/li>\n<li>Subtract [latex]59[\/latex] from [latex]81[\/latex]<\/li>\n<li>[latex]45[\/latex] decreased by [latex]20[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q527157\">Show Solution<\/span><\/p>\n<div id=\"q527157\" class=\"hidden-answer\" style=\"display: none\">45 \u2212 20; 25<\/div>\n<\/div>\n<\/li>\n<li>[latex]37[\/latex] decreased by [latex]24[\/latex]<\/li>\n<li>[latex]92[\/latex] decreased by [latex]67[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q703805\">Show Solution<\/span><\/p>\n<div id=\"q703805\" class=\"hidden-answer\" style=\"display: none\">92 \u2212 67; 25<\/div>\n<\/div>\n<\/li>\n<li>[latex]75[\/latex] decreased by [latex]49[\/latex]<\/li>\n<li>[latex]12[\/latex] less than [latex]16[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q973601\">Show Solution<\/span><\/p>\n<div id=\"q973601\" class=\"hidden-answer\" style=\"display: none\">16 \u2212 12; 4<\/div>\n<\/div>\n<\/li>\n<li>[latex]15[\/latex] less than [latex]19[\/latex]<\/li>\n<li>[latex]38[\/latex] less than [latex]61[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q328181\">Show Solution<\/span><\/p>\n<div id=\"q328181\" class=\"hidden-answer\" style=\"display: none\">61 \u2212 38; 23<\/div>\n<\/div>\n<\/li>\n<li>[latex]47[\/latex] less than [latex]62[\/latex]<\/li>\n<\/ol>\n<h3>Mixed Practice<\/h3>\n<p>In the following exercises, simplify.<\/p>\n<ol>\n<li>[latex]76 - 47[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q756434\">Show Solution<\/span><\/p>\n<div id=\"q756434\" class=\"hidden-answer\" style=\"display: none\">29<\/div>\n<\/div>\n<\/li>\n<li>[latex]91 - 53[\/latex]<\/li>\n<li>[latex]256 - 184[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q357501\">Show Solution<\/span><\/p>\n<div id=\"q357501\" class=\"hidden-answer\" style=\"display: none\">72<\/div>\n<\/div>\n<\/li>\n<li>[latex]305 - 262[\/latex]<\/li>\n<li>[latex]719+341[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q601322\">Show Solution<\/span><\/p>\n<div id=\"q601322\" class=\"hidden-answer\" style=\"display: none\">1,060<\/div>\n<\/div>\n<\/li>\n<li>[latex]647+528[\/latex]<\/li>\n<li>[latex]2,015 - 1,993[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q539801\">Show Solution<\/span><\/p>\n<div id=\"q539801\" class=\"hidden-answer\" style=\"display: none\">22<\/div>\n<\/div>\n<\/li>\n<li>[latex]2,020 - 1,984[\/latex]<\/li>\n<\/ol>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol>\n<li>Seventy more than thirty-five\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q533814\">Show Solution<\/span><\/p>\n<div id=\"q533814\" class=\"hidden-answer\" style=\"display: none\">75 + 35; 110<\/div>\n<\/div>\n<\/li>\n<li>Sixty more than ninety-three<\/li>\n<li>[latex]13[\/latex] less than [latex]41[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q299675\">Show Solution<\/span><\/p>\n<div id=\"q299675\" class=\"hidden-answer\" style=\"display: none\">41 \u2212 13; 28<\/div>\n<\/div>\n<\/li>\n<li>[latex]28[\/latex] less than [latex]36[\/latex]<\/li>\n<li>The difference of [latex]100[\/latex] and [latex]76[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q556534\">Show Solution<\/span><\/p>\n<div id=\"q556534\" class=\"hidden-answer\" style=\"display: none\">100 \u2212 76; 24<\/div>\n<\/div>\n<\/li>\n<li>The difference of [latex]1,000[\/latex] and [latex]945[\/latex]<\/li>\n<\/ol>\n<h3>Subtract Whole Numbers in Applications<\/h3>\n<p>In the following exercises, solve.<\/p>\n<h4>Temperature<\/h4>\n<p>The high temperature on June 2 in Las Vegas was 80 degrees and the low temperature was 63 degrees. What was the difference between the high and low temperatures?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q603780\">Show Solution<\/span><\/p>\n<div id=\"q603780\" class=\"hidden-answer\" style=\"display: none\">The difference between the high and low temperature was 17 degrees<\/div>\n<\/div>\n<h4>Temperature<\/h4>\n<p>The high temperature on June 1 in Phoenix was 97 degrees and the low was 73 degrees. What was the difference between the high and low temperatures?<\/p>\n<h4>Class size<\/h4>\n<p>Olivia\u2019s third grade class has [latex]35[\/latex] children. Last year, her second grade class had [latex]22[\/latex] children. What is the difference between the number of children in Olivia\u2019s third grade class and her second grade class?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q309583\">Show Solution<\/span><\/p>\n<div id=\"q309583\" class=\"hidden-answer\" style=\"display: none\">The difference between the third grade and second grade was 13 children.<\/div>\n<\/div>\n<h4>Class size<\/h4>\n<p>There are [latex]82[\/latex] students in the school band and [latex]46[\/latex] in the school orchestra. What is the difference between the number of students in the band and the orchestra?<\/p>\n<h4>Shopping<\/h4>\n<p>A mountain bike is on sale for [latex]\\$399[\/latex]. Its regular price is [latex]\\$650[\/latex]. What is the difference between the regular price and the sale price?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q457869\">Show Solution<\/span><\/p>\n<div id=\"q457869\" class=\"hidden-answer\" style=\"display: none\">The difference between the regular price and sale price is $251.<\/div>\n<\/div>\n<h4>Shopping<\/h4>\n<p>A mattress set is on sale for [latex]\\$755[\/latex]. Its regular price is [latex]\\$1,600[\/latex]. What is the difference between the regular price and the sale price?<\/p>\n<h4>Savings<\/h4>\n<p>John wants to buy a laptop that costs [latex]\\$840[\/latex]. He has [latex]\\$685[\/latex] in his savings account. How much more does he need to save in order to buy the laptop?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q548496\">Show Solution<\/span><\/p>\n<div id=\"q548496\" class=\"hidden-answer\" style=\"display: none\">John needs to save $155 more.<\/div>\n<\/div>\n<h4>Banking<\/h4>\n<p>Mason had [latex]\\$1,125[\/latex] in his checking account. He spent [latex]\\$892[\/latex]. How much money does he have left?<\/p>\n<div class=\"textbox exercises\">\n<h3>Everyday Math<\/h3>\n<h4>Road trip<\/h4>\n<p>Noah was driving from Philadelphia to Cincinnati, a distance of [latex]502[\/latex] miles. He drove [latex]115[\/latex] miles, stopped for gas, and then drove another [latex]230[\/latex] miles before lunch. How many more miles did he have to travel?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q886911\">Show Solution<\/span><\/p>\n<div id=\"q886911\" class=\"hidden-answer\" style=\"display: none\">157 miles<\/div>\n<\/div>\n<h4>Test Scores<\/h4>\n<p>Sara needs [latex]350[\/latex] points to pass her course. She scored [latex]75,50,70,\\text{and}80[\/latex] on her first four tests. How many more points does Sara need to pass the course?<\/p>\n<\/div>\n<div class=\"textbox learning-objectives\">\n<h3>Writing Exercises<\/h3>\n<p>Explain how subtraction and addition are related.<\/p>\n<p><textarea aria-label=\"Your Answer\" rows=\"4\"><\/textarea><\/p>\n<p>How does knowing addition facts help you to subtract numbers?<\/p>\n<p><textarea aria-label=\"Your Answer\" rows=\"4\"><\/textarea><\/p>\n<\/div>\n<h2>Multiplying Whole Numbers<\/h2>\n<h3>Use Multiplication Notation<\/h3>\n<p>In the following exercises, translate from math notation to words.<\/p>\n<ol>\n<li>[latex]4\\times 7[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q363991\">Show Solution<\/span><\/p>\n<div id=\"q363991\" class=\"hidden-answer\" style=\"display: none\">four times seven; the product of four and seven<\/div>\n<\/div>\n<\/li>\n<li>[latex]8\\times 6[\/latex]<\/li>\n<li>[latex]5\\cdot 12[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q804089\">Show Solution<\/span><\/p>\n<div id=\"q804089\" class=\"hidden-answer\" style=\"display: none\">five times twelve; the product of five and twelve<\/div>\n<\/div>\n<\/li>\n<li>[latex]3\\cdot 9[\/latex]<\/li>\n<li>[latex]\\left(10\\right)\\left(25\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q617226\">Show Solution<\/span><\/p>\n<div id=\"q617226\" class=\"hidden-answer\" style=\"display: none\">ten times twenty-five; the product of ten and twenty-five<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\left(20\\right)\\left(15\\right)[\/latex]<\/li>\n<li>[latex]42\\left(33\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q528569\">Show Solution<\/span><\/p>\n<div id=\"q528569\" class=\"hidden-answer\" style=\"display: none\">forty-two times thirty-three; the product of forty-two and thirty-three<\/div>\n<\/div>\n<\/li>\n<li>[latex]39\\left(64\\right)[\/latex]<\/li>\n<\/ol>\n<h3>Model Multiplication of Whole Numbers<\/h3>\n<p>In the following exercises, model the multiplication.<\/p>\n<ol>\n<li>[latex]3\\times 6[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q147208\">Show Solution<\/span><\/p>\n<div id=\"q147208\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215542\/CNX_BMath_Figure_01_04_201_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>[latex]4\\times 5[\/latex]<\/li>\n<li>[latex]5\\times 9[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q446305\">Show Solution<\/span><\/p>\n<div id=\"q446305\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215543\/CNX_BMath_Figure_01_04_203_img-1.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>[latex]3\\times 9[\/latex]<\/li>\n<\/ol>\n<h3>Multiply Whole Numbers<\/h3>\n<p>In the following exercises, fill in the missing values in each chart.<\/p>\n<h4>Exercise 1<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215544\/CNX_BMath_Figure_01_04_205.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q936218\">Show Solution<\/span><\/p>\n<div id=\"q936218\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215546\/CNX_BMath_Figure_01_04_206.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<h4>Exercise 2<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215548\/CNX_BMath_Figure_01_04_207.png\" alt=\"An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values\" \/><\/p>\n<h4>Exercise 3<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215550\/CNX_BMath_Figure_01_04_209.png\" alt=\"An image of a table with 8 columns and 7 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q973218\">Show Solution<\/span><\/p>\n<div id=\"q973218\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215552\/CNX_BMath_Figure_01_04_210.png\" alt=\"No Alt Text\" \/> <\/div>\n<\/div>\n<h4>Exercise 4<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215554\/CNX_BMath_Figure_01_04_211.png\" alt=\"PROD: An image of a table with 7 columns and 8 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values\" \/><\/p>\n<h4>Exercise 5<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215555\/CNX_BMath_Figure_01_04_213.png\" alt=\"An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q976228\">Show Solution<\/span><\/p>\n<div id=\"q976228\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215557\/CNX_BMath_Figure_01_04_214.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<h4>Exercise 6<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215559\/CNX_BMath_Figure_01_04_215.png\" alt=\"An image of a table with 5 columns and 8 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values\" \/><\/p>\n<h4>Exercise 7<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215600\/CNX_BMath_Figure_01_04_217.png\" alt=\"PROD: An image of a table with 6 columns and 6 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q976218\">Show Solution<\/span><\/p>\n<div id=\"q976218\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215601\/CNX_BMath_Figure_01_04_218.png\" alt=\"No Alt Text\" \/> <\/div>\n<\/div>\n<h4>Exercise 8<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215602\/CNX_BMath_Figure_01_04_219.png\" alt=\"An image of a table with 6 columns and 6 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first column has the values\" \/><\/p>\n<h3>Multiply Whole Numbers<\/h3>\n<p>In the following exercises, multiply.<\/p>\n<ol>\n<li>[latex]0\\cdot 15[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q3516\">Show Solution<\/span><\/p>\n<div id=\"q3516\" class=\"hidden-answer\" style=\"display: none\">0<\/div>\n<\/div>\n<\/li>\n<li>[latex]0\\cdot 41[\/latex]<\/li>\n<li>[latex]\\left(99\\right)0[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q544173\">Show Solution<\/span><\/p>\n<div id=\"q544173\" class=\"hidden-answer\" style=\"display: none\">0<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\left(77\\right)0[\/latex]<\/li>\n<li>[latex]1\\cdot 43[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q507186\">Show Solution<\/span><\/p>\n<div id=\"q507186\" class=\"hidden-answer\" style=\"display: none\">43<\/div>\n<\/div>\n<\/li>\n<li>[latex]1\\cdot 34[\/latex]<\/li>\n<li>[latex]\\left(28\\right)1[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q660623\">Show Solution<\/span><\/p>\n<div id=\"q660623\" class=\"hidden-answer\" style=\"display: none\">28<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\left(65\\right)1[\/latex]<\/li>\n<li>[latex]1\\left(240,055\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q878871\">Show Solution<\/span><\/p>\n<div id=\"q878871\" class=\"hidden-answer\" style=\"display: none\">240,055<\/div>\n<\/div>\n<\/li>\n<li>[latex]1\\left(189,206\\right)[\/latex]<\/li>\n<li>[latex]7\\cdot 6[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q463884\">Show Solution<\/span><\/p>\n<div id=\"q463884\" class=\"hidden-answer\" style=\"display: none\">42<\/div>\n<\/div>\n<\/li>\n<li>[latex]6\\cdot 7[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q124158\">Show Solution<\/span><\/p>\n<div id=\"q124158\" class=\"hidden-answer\" style=\"display: none\">42<\/div>\n<\/div>\n<\/li>\n<li>[latex]8\\times 9[\/latex]<\/li>\n<li>[latex]9\\times 8[\/latex]<\/li>\n<li>[latex]\\left(79\\right)\\left(5\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q692758\">Show Solution<\/span><\/p>\n<div id=\"q692758\" class=\"hidden-answer\" style=\"display: none\">395<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\left(58\\right)\\left(4\\right)[\/latex]<\/li>\n<li>[latex]275\\cdot 6[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q851543\">Show Solution<\/span><\/p>\n<div id=\"q851543\" class=\"hidden-answer\" style=\"display: none\">1,650<\/div>\n<\/div>\n<\/li>\n<li>[latex]638\\cdot 5[\/latex]<\/li>\n<li>[latex]3,421\\times 7[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q957112\">Show Solution<\/span><\/p>\n<div id=\"q957112\" class=\"hidden-answer\" style=\"display: none\">23,947<\/div>\n<\/div>\n<\/li>\n<li>[latex]9,143\\times 3[\/latex]<\/li>\n<li>[latex]52\\left(38\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q600286\">Show Solution<\/span><\/p>\n<div id=\"q600286\" class=\"hidden-answer\" style=\"display: none\">1,976<\/div>\n<\/div>\n<\/li>\n<li>[latex]37\\left(45\\right)[\/latex]<\/li>\n<li>[latex]96\\cdot 73[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q992931\">Show Solution<\/span><\/p>\n<div id=\"q992931\" class=\"hidden-answer\" style=\"display: none\">7,008<\/div>\n<\/div>\n<\/li>\n<li>[latex]89\\cdot 56[\/latex]<\/li>\n<li>[latex]27\\times 85[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q788933\">Show Solution<\/span><\/p>\n<div id=\"q788933\" class=\"hidden-answer\" style=\"display: none\">2,295<\/div>\n<\/div>\n<\/li>\n<li>[latex]53\\times 98[\/latex]<\/li>\n<li>[latex]23\\cdot 10[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q155427\">Show Solution<\/span><\/p>\n<div id=\"q155427\" class=\"hidden-answer\" style=\"display: none\">230<\/div>\n<\/div>\n<\/li>\n<li>[latex]19\\cdot 10[\/latex]<\/li>\n<li>[latex]\\left(100\\right)\\left(36\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q651386\">Show Solution<\/span><\/p>\n<div id=\"q651386\" class=\"hidden-answer\" style=\"display: none\">360<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\left(100\\right)\\left(25\\right)[\/latex]<\/li>\n<li>[latex]1,000\\left(88\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q669872\">Show Solution<\/span><\/p>\n<div id=\"q669872\" class=\"hidden-answer\" style=\"display: none\">88,000<\/div>\n<\/div>\n<\/li>\n<li>[latex]1,000\\left(46\\right)[\/latex]<\/li>\n<li>[latex]50\\times 1,000,000[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q604007\">Show Solution<\/span><\/p>\n<div id=\"q604007\" class=\"hidden-answer\" style=\"display: none\">50,000,000<\/div>\n<\/div>\n<\/li>\n<li>[latex]30\\times 1,000,000[\/latex]<\/li>\n<li>[latex]247\\times 139[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q232656\">Show Solution<\/span><\/p>\n<div id=\"q232656\" class=\"hidden-answer\" style=\"display: none\">34,333<\/div>\n<\/div>\n<\/li>\n<li>[latex]156\\times 328[\/latex]<\/li>\n<li>[latex]586\\left(721\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q157756\">Show Solution<\/span><\/p>\n<div id=\"q157756\" class=\"hidden-answer\" style=\"display: none\">422,506<\/div>\n<\/div>\n<\/li>\n<li>[latex]472\\left(855\\right)[\/latex]<\/li>\n<li>[latex]915\\cdot 879[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q395503\">Show Solution<\/span><\/p>\n<div id=\"q395503\" class=\"hidden-answer\" style=\"display: none\">804,285<\/div>\n<\/div>\n<\/li>\n<li>[latex]968\\cdot 926[\/latex]<\/li>\n<li>[latex]\\left(104\\right)\\left(256\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q910264\">Show Solution<\/span><\/p>\n<div id=\"q910264\" class=\"hidden-answer\" style=\"display: none\">26,624<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\left(103\\right)\\left(497\\right)[\/latex]<\/li>\n<li>[latex]348\\left(705\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q238820\">Show Solution<\/span><\/p>\n<div id=\"q238820\" class=\"hidden-answer\" style=\"display: none\">245,340<\/div>\n<\/div>\n<\/li>\n<li>[latex]485\\left(602\\right)[\/latex]<\/li>\n<li>[latex]2,719\\times 543[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q142732\">Show Solution<\/span><\/p>\n<div id=\"q142732\" class=\"hidden-answer\" style=\"display: none\">1,476,417<\/div>\n<\/div>\n<\/li>\n<li>[latex]3,581\\times 724[\/latex]<\/li>\n<\/ol>\n<h3>Translate Word Phrases to Math Notation<\/h3>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol>\n<li>the product of [latex]18[\/latex] and [latex]33[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q785549\">Show Solution<\/span><\/p>\n<div id=\"q785549\" class=\"hidden-answer\" style=\"display: none\">18 \u00b7 33; 594<\/div>\n<\/div>\n<\/li>\n<li>the product of [latex]15[\/latex] and [latex]22[\/latex]<\/li>\n<li>fifty-one times sixty-seven\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q472023\">Show Solution<\/span><\/p>\n<div id=\"q472023\" class=\"hidden-answer\" style=\"display: none\">51(67); 3,417<\/div>\n<\/div>\n<\/li>\n<li>forty-eight times seventy-one<\/li>\n<li>twice [latex]249[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q508529\">Show Solution<\/span><\/p>\n<div id=\"q508529\" class=\"hidden-answer\" style=\"display: none\">2(249); 498<\/div>\n<\/div>\n<\/li>\n<li>twice [latex]589[\/latex]<\/li>\n<li>ten times three hundred seventy-five\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q698570\">Show Solution<\/span><\/p>\n<div id=\"q698570\" class=\"hidden-answer\" style=\"display: none\">10(375); 3,750<\/div>\n<\/div>\n<\/li>\n<li>ten times two hundred fifty-five<\/li>\n<\/ol>\n<h3>Mixed Practice, Part I<\/h3>\n<p>In the following exercises, simplify.<\/p>\n<ol>\n<li>[latex]38\\times 37[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q85580\">Show Solution<\/span><\/p>\n<div id=\"q85580\" class=\"hidden-answer\" style=\"display: none\">1,406<\/div>\n<\/div>\n<\/li>\n<li>[latex]86\\times 29[\/latex]<\/li>\n<li>[latex]415 - 267[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q421213\">Show Solution<\/span><\/p>\n<div id=\"q421213\" class=\"hidden-answer\" style=\"display: none\">148<\/div>\n<\/div>\n<\/li>\n<li>[latex]341 - 285[\/latex]<\/li>\n<li>[latex]6,251+4,749[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q194502\">Show Solution<\/span><\/p>\n<div id=\"q194502\" class=\"hidden-answer\" style=\"display: none\">11,000<\/div>\n<\/div>\n<\/li>\n<li>[latex]3,816+8,184[\/latex]<\/li>\n<li>[latex]\\left(56\\right)\\left(204\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q615724\">Show Solution<\/span><\/p>\n<div id=\"q615724\" class=\"hidden-answer\" style=\"display: none\">11,424<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\left(77\\right)\\left(801\\right)[\/latex]<\/li>\n<li>[latex]947\\cdot 0[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q293312\">Show Solution<\/span><\/p>\n<div id=\"q293312\" class=\"hidden-answer\" style=\"display: none\">0<\/div>\n<\/div>\n<\/li>\n<li>[latex]947+0[\/latex]<\/li>\n<li>[latex]15,382+1[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q679451\">Show Solution<\/span><\/p>\n<div id=\"q679451\" class=\"hidden-answer\" style=\"display: none\">15,383<\/div>\n<\/div>\n<\/li>\n<li>[latex]15,382\\cdot 1[\/latex]<\/li>\n<\/ol>\n<h3>Mixed Practice, Part II<\/h3>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol>\n<li>the difference of 50 and 18\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q651495\">Show Solution<\/span><\/p>\n<div id=\"q651495\" class=\"hidden-answer\" style=\"display: none\">50 \u2212 18; 32<\/div>\n<\/div>\n<\/li>\n<li>the difference of 90 and 66<\/li>\n<li>twice 35\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q858533\">Show Solution<\/span><\/p>\n<div id=\"q858533\" class=\"hidden-answer\" style=\"display: none\">2(35); 70<\/div>\n<\/div>\n<\/li>\n<li>twice 140<\/li>\n<li>20 more than 980\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q978493\">Show Solution<\/span><\/p>\n<div id=\"q978493\" class=\"hidden-answer\" style=\"display: none\">20 + 980; 1,000<\/div>\n<\/div>\n<\/li>\n<li>65 more than 325<\/li>\n<li>the product of 12 and 875\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q88817\">Show Solution<\/span><\/p>\n<div id=\"q88817\" class=\"hidden-answer\" style=\"display: none\">12(875); 10,500<\/div>\n<\/div>\n<\/li>\n<li>the product of 15 and 905<\/li>\n<li>subtract 74 from 89\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q29426\">Show Solution<\/span><\/p>\n<div id=\"q29426\" class=\"hidden-answer\" style=\"display: none\">89 \u2212 74; 15<\/div>\n<\/div>\n<\/li>\n<li>subtract 45 from 99<\/li>\n<li>the sum of 3,075 and 95\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q279558\">Show Solution<\/span><\/p>\n<div id=\"q279558\" class=\"hidden-answer\" style=\"display: none\">3,075 + 950; 4,025<\/div>\n<\/div>\n<\/li>\n<li>the sum of 6,308 and 724<\/li>\n<li>366 less than 814\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q670592\">Show Solution<\/span><\/p>\n<div id=\"q670592\" class=\"hidden-answer\" style=\"display: none\">814 \u2212 366; 448<\/div>\n<\/div>\n<\/li>\n<li>388 less than 925<\/li>\n<\/ol>\n<h3>Multiply Whole Numbers in Applications<\/h3>\n<p>In the following exercises, solve.<\/p>\n<h4>Party supplies<\/h4>\n<p>Tim brought 9 six-packs of soda to a club party. How many cans of soda did Tim bring?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q326247\">Show Solution<\/span><\/p>\n<div id=\"q326247\" class=\"hidden-answer\" style=\"display: none\">Tim brought 54 cans of soda to the party.<\/div>\n<\/div>\n<h4>Sewing<\/h4>\n<p>Kanisha is making a quilt. She bought 6 cards of buttons. Each card had four buttons on it. How many buttons did Kanisha buy?<\/p>\n<h4>Field trip<\/h4>\n<p>Seven school busses let off their students in front of a museum in Washington, DC. Each school bus had 44 students. How many students were there?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q65201\">Show Solution<\/span><\/p>\n<div id=\"q65201\" class=\"hidden-answer\" style=\"display: none\">There were 308 students.<\/div>\n<\/div>\n<h4>Gardening<\/h4>\n<p>Kathryn bought 8 flats of impatiens for her flower bed. Each flat has 24 flowers. How many flowers did Kathryn buy?<\/p>\n<h4>Charity<\/h4>\n<p>Rey donated 15 twelve-packs of t-shirts to a homeless shelter. How many t-shirts did he donate?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q458941\">Show Solution<\/span><\/p>\n<div id=\"q458941\" class=\"hidden-answer\" style=\"display: none\">Rey donated 180 t-shirts.<\/div>\n<\/div>\n<h4>School<\/h4>\n<p>There are 28 classrooms at Anna C. Scott elementary school. Each classroom has 26 student desks. What is the total number of student desks?<\/p>\n<h4>Recipe<\/h4>\n<p>Stephanie is making punch for a party. The recipe calls for twice as much fruit juice as club soda. If she uses 10 cups of club soda, how much fruit juice should she use?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q189414\">Show Solution<\/span><\/p>\n<div id=\"q189414\" class=\"hidden-answer\" style=\"display: none\">Stephanie should use 20 cups of fruit juice.<\/div>\n<\/div>\n<h4>Gardening<\/h4>\n<p>Hiroko is putting in a vegetable garden. He wants to have twice as many lettuce plants as tomato plants. If he buys 12 tomato plants, how many lettuce plants should he get?<\/p>\n<h4>Government<\/h4>\n<p>The United States Senate has twice as many senators as there are states in the United States. There are 50 states. How many senators are there in the United States Senate?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q574651\">Show Solution<\/span><\/p>\n<div id=\"q574651\" class=\"hidden-answer\" style=\"display: none\">There are 100 senators in the U.S. senate.<\/div>\n<\/div>\n<h4>Recipe<\/h4>\n<p>Andrea is making potato salad for a buffet luncheon. The recipe says the number of servings of potato salad will be twice the number of pounds of potatoes. If she buys 30 pounds of potatoes, how many servings of potato salad will there be?<\/p>\n<h4>Painting<\/h4>\n<p>Jane is painting one wall of her living room. The wall is rectangular, 13 feet wide by 9 feet high. What is the area of the wall?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q513008\">Show Solution<\/span><\/p>\n<div id=\"q513008\" class=\"hidden-answer\" style=\"display: none\">The area of the wall is 117 square feet.<\/div>\n<\/div>\n<h4>Home d\u00e9cor<\/h4>\n<p>Shawnte bought a rug for the hall of her apartment. The rug is 3 feet wide by 18 feet long. What is the area of the rug?<\/p>\n<h4>Room size<\/h4>\n<p>The meeting room in a senior center is rectangular, with length 42 feet and width 34 feet. What is the area of the meeting room?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q756320\">Show Solution<\/span><\/p>\n<div id=\"q756320\" class=\"hidden-answer\" style=\"display: none\">The area of the room is 1,428 square feet.<\/div>\n<\/div>\n<h4>Gardening<\/h4>\n<p>June has a vegetable garden in her yard. The garden is rectangular, with length 23 feet and width 28 feet. What is the area of the garden?<\/p>\n<h4>NCAA basketball<\/h4>\n<p>According to NCAA regulations, the dimensions of a rectangular basketball court must be 94 feet by 50 feet. What is the area of the basketball court?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q133739\">Show Solution<\/span><\/p>\n<div id=\"q133739\" class=\"hidden-answer\" style=\"display: none\">The area of the court is 4,700 square feet.<\/div>\n<\/div>\n<h4>NCAA football<\/h4>\n<p>According to NCAA regulations, the dimensions of a rectangular football field must be 360 feet by 160 feet. What is the area of the football field?<\/p>\n<div class=\"textbox exercises\">\n<h3>Everyday Math<\/h3>\n<h4>Stock market<\/h4>\n<p>Javier owns 300 shares of stock in one company. On Tuesday, the stock price rose [latex]\\$12[\/latex] per share. How much money did Javier\u2019s portfolio gain?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q437766\">Show Solution<\/span><\/p>\n<div id=\"q437766\" class=\"hidden-answer\" style=\"display: none\">Javier\u2019s portfolio gained $3,600.<\/div>\n<\/div>\n<h4>Salary<\/h4>\n<p>Carlton got a [latex]\\$200[\/latex] raise in each paycheck. He gets paid 24 times a year. How much higher is his new annual salary?<\/p>\n<\/div>\n<div class=\"textbox learning-objectives\">\n<h3>Writing Exercises<\/h3>\n<p>How confident do you feel about your knowledge of the multiplication facts? If you are not fully confident, what will you do to improve your skills?<\/p>\n<p><textarea aria-label=\"Your Answer\" rows=\"4\"><\/textarea><\/p>\n<p>How have you used models to help you learn the multiplication facts?<\/p>\n<p><textarea aria-label=\"Your Answer\" rows=\"4\"><\/textarea><\/p>\n<\/div>\n<h2>Dividing Whole Numbers<\/h2>\n<h3>Use Division Notation<\/h3>\n<p>In the following exercises, translate from math notation to words.<\/p>\n<ol>\n<li>[latex]54\\div 9[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q659526\">Show Solution<\/span><\/p>\n<div id=\"q659526\" class=\"hidden-answer\" style=\"display: none\">fifty-four divided by nine; the quotient of fifty-four and nine<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{56}{7}[\/latex]<\/li>\n<li>[latex]\\frac{32}{8}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q561254\">Show Solution<\/span><\/p>\n<div id=\"q561254\" class=\"hidden-answer\" style=\"display: none\">thirty-two divided by eight; the quotient of thirty-two and eight<\/div>\n<\/div>\n<\/li>\n<li>[latex]6\\overline{)42}[\/latex]<\/li>\n<li>[latex]48\\div 6[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q90930\">Show Solution<\/span><\/p>\n<div id=\"q90930\" class=\"hidden-answer\" style=\"display: none\">forty-eight divided by six; the quotient of forty-eight and six<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{63}{9}[\/latex]<\/li>\n<li>[latex]7\\overline{)63}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q716200\">Show Solution<\/span><\/p>\n<div id=\"q716200\" class=\"hidden-answer\" style=\"display: none\">sixty-three divided by seven; the quotient of sixty-three and seven<\/div>\n<\/div>\n<\/li>\n<li>[latex]72\\div 8[\/latex]<\/li>\n<\/ol>\n<h3>Model Division of Whole Numbers<\/h3>\n<p>In the following exercises, model the division.<\/p>\n<ol>\n<li>[latex]15\\div 5[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q74064\">Show Solution<\/span><\/p>\n<div id=\"q74064\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215658\/CNX_BMath_Figure_01_05_201_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>[latex]10\\div 5[\/latex]<\/li>\n<li>[latex]\\frac{14}{7}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q592632\">Show Solution<\/span><\/p>\n<div id=\"q592632\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215659\/CNX_BMath_Figure_01_05_203_img.png\" alt=\"No Alt Text\" \/> <\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{18}{6}[\/latex]<\/li>\n<li>[latex]4\\overline{)20}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q461602\">Show Solution<\/span><\/p>\n<div id=\"q461602\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215700\/CNX_BMath_Figure_01_05_205_img.png\" alt=\"No Alt Text\" \/> <\/div>\n<\/div>\n<\/li>\n<li>[latex]3\\overline{)15}[\/latex]<\/li>\n<li>[latex]24\\div 6[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q758520\">Show Solution<\/span><\/p>\n<div id=\"q758520\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215702\/CNX_BMath_Figure_01_05_207_img.png\" alt=\"No Alt Text\" \/> <\/div>\n<\/div>\n<\/li>\n<li>[latex]16\\div 4[\/latex]<\/li>\n<\/ol>\n<h3>Divide Whole Numbers<\/h3>\n<p>In the following exercises, divide. Then check by multiplying.<\/p>\n<ol>\n<li>[latex]18\\div 2[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q408037\">Show Solution<\/span><\/p>\n<div id=\"q408037\" class=\"hidden-answer\" style=\"display: none\">9<\/div>\n<\/div>\n<\/li>\n<li>[latex]14\\div 2[\/latex]<\/li>\n<li>[latex]\\frac{27}{3}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q846806\">Show Solution<\/span><\/p>\n<div id=\"q846806\" class=\"hidden-answer\" style=\"display: none\">9<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{30}{3}[\/latex]<\/li>\n<li>[latex]4\\overline{)28}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q596589\">Show Solution<\/span><\/p>\n<div id=\"q596589\" class=\"hidden-answer\" style=\"display: none\">7<\/div>\n<\/div>\n<\/li>\n<li>[latex]4\\overline{)36}[\/latex]<\/li>\n<li>[latex]\\frac{45}{5}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q357564\">Show Solution<\/span><\/p>\n<div id=\"q357564\" class=\"hidden-answer\" style=\"display: none\">9<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{35}{5}[\/latex]<\/li>\n<li>[latex]72\/8[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q277121\">Show Solution<\/span><\/p>\n<div id=\"q277121\" class=\"hidden-answer\" style=\"display: none\">9<\/div>\n<\/div>\n<\/li>\n<li>[latex]8\\overline{)64}[\/latex]<\/li>\n<li>[latex]\\frac{35}{7}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q924336\">Show Solution<\/span><\/p>\n<div id=\"q924336\" class=\"hidden-answer\" style=\"display: none\">5<\/div>\n<\/div>\n<\/li>\n<li>[latex]42\\div 7[\/latex]<\/li>\n<li>[latex]15\\overline{)15}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q91727\">Show Solution<\/span><\/p>\n<div id=\"q91727\" class=\"hidden-answer\" style=\"display: none\">1<\/div>\n<\/div>\n<\/li>\n<li>[latex]12\\overline{)12}[\/latex]<\/li>\n<li>[latex]43\\div 43[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q602574\">Show Solution<\/span><\/p>\n<div id=\"q602574\" class=\"hidden-answer\" style=\"display: none\">1<\/div>\n<\/div>\n<\/li>\n<li>[latex]37\\div 37[\/latex]<\/li>\n<li>[latex]\\frac{23}{1}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q295080\">Show Solution<\/span><\/p>\n<div id=\"q295080\" class=\"hidden-answer\" style=\"display: none\">23<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{29}{1}[\/latex]<\/li>\n<li>[latex]19\\div 1[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q174685\">Show Solution<\/span><\/p>\n<div id=\"q174685\" class=\"hidden-answer\" style=\"display: none\">19<\/div>\n<\/div>\n<\/li>\n<li>[latex]17\\div 1[\/latex]<\/li>\n<li>[latex]0\\div 4[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q491691\">Show Solution<\/span><\/p>\n<div id=\"q491691\" class=\"hidden-answer\" style=\"display: none\">0<\/div>\n<\/div>\n<\/li>\n<li>[latex]0\\div 8[\/latex]<\/li>\n<li>[latex]\\frac{5}{0}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q270407\">Show Solution<\/span><\/p>\n<div id=\"q270407\" class=\"hidden-answer\" style=\"display: none\">undefined<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{9}{0}[\/latex]<\/li>\n<li>[latex]\\frac{26}{0}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q207244\">Show Solution<\/span><\/p>\n<div id=\"q207244\" class=\"hidden-answer\" style=\"display: none\">undefined<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{32}{0}[\/latex]<\/li>\n<li>[latex]12\\overline{)0}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q107481\">Show Solution<\/span><\/p>\n<div id=\"q107481\" class=\"hidden-answer\" style=\"display: none\">0<\/div>\n<\/div>\n<\/li>\n<li>[latex]16\\overline{)0}[\/latex]<\/li>\n<li>[latex]72\\div 3[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q19965\">Show Solution<\/span><\/p>\n<div id=\"q19965\" class=\"hidden-answer\" style=\"display: none\">24<\/div>\n<\/div>\n<\/li>\n<li>[latex]57\\div 3[\/latex]<\/li>\n<li>[latex]\\frac{96}{8}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q641067\">Show Solution<\/span><\/p>\n<div id=\"q641067\" class=\"hidden-answer\" style=\"display: none\">12<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{78}{6}[\/latex]<\/li>\n<li>[latex]5\\overline{)465}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q55641\">Show Solution<\/span><\/p>\n<div id=\"q55641\" class=\"hidden-answer\" style=\"display: none\">93<\/div>\n<\/div>\n<\/li>\n<li>[latex]4\\overline{)528}[\/latex]<\/li>\n<li>[latex]924\\div 7[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q495442\">Show Solution<\/span><\/p>\n<div id=\"q495442\" class=\"hidden-answer\" style=\"display: none\">132<\/div>\n<\/div>\n<\/li>\n<li>[latex]861\\div 7[\/latex]<\/li>\n<li>[latex]\\frac{5,226}{6}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q763471\">Show Solution<\/span><\/p>\n<div id=\"q763471\" class=\"hidden-answer\" style=\"display: none\">871<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{3,776}{8}[\/latex]<\/li>\n<li>[latex]4\\overline{)31,324}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q246147\">Show Solution<\/span><\/p>\n<div id=\"q246147\" class=\"hidden-answer\" style=\"display: none\">7,831<\/div>\n<\/div>\n<\/li>\n<li>[latex]5\\overline{)46,855}[\/latex]<\/li>\n<li>[latex]7,209\\div 3[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q326789\">Show Solution<\/span><\/p>\n<div id=\"q326789\" class=\"hidden-answer\" style=\"display: none\">2,403<\/div>\n<\/div>\n<\/li>\n<li>[latex]4,806\\div 3[\/latex]<\/li>\n<li>[latex]5,406\\div 6[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q728219\">Show Solution<\/span><\/p>\n<div id=\"q728219\" class=\"hidden-answer\" style=\"display: none\">901<\/div>\n<\/div>\n<\/li>\n<li>[latex]3,208\\div 4[\/latex]<\/li>\n<li>[latex]4\\overline{)2,816}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q513319\">Show Solution<\/span><\/p>\n<div id=\"q513319\" class=\"hidden-answer\" style=\"display: none\">704<\/div>\n<\/div>\n<\/li>\n<li>[latex]6\\overline{)3,624}[\/latex]<\/li>\n<li>[latex]\\frac{91,881}{9}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q817\">Show Solution<\/span><\/p>\n<div id=\"q817\" class=\"hidden-answer\" style=\"display: none\">10,209<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{83,256}{8}[\/latex]<\/li>\n<li>[latex]2,470\\div 7[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q444049\">Show Solution<\/span><\/p>\n<div id=\"q444049\" class=\"hidden-answer\" style=\"display: none\">352 R6<\/div>\n<\/div>\n<\/li>\n<li>[latex]3,741\\div 7[\/latex]<\/li>\n<li>[latex]8\\overline{)55,305}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q689639\">Show Solution<\/span><\/p>\n<div id=\"q689639\" class=\"hidden-answer\" style=\"display: none\">6,913 R1<\/div>\n<\/div>\n<\/li>\n<li>[latex]9\\overline{)51,492}[\/latex]<\/li>\n<li>[latex]\\frac{431,174}{5}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q581171\">Show Solution<\/span><\/p>\n<div id=\"q581171\" class=\"hidden-answer\" style=\"display: none\">86,234 R4<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{297,277}{4}[\/latex]<\/li>\n<li>[latex]130,016\\div 3[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q280559\">Show Solution<\/span><\/p>\n<div id=\"q280559\" class=\"hidden-answer\" style=\"display: none\">43,338 R2<\/div>\n<\/div>\n<\/li>\n<li>[latex]105,609\\div 2[\/latex]<\/li>\n<li>[latex]15\\overline{)5,735}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q953865\">Show Solution<\/span><\/p>\n<div id=\"q953865\" class=\"hidden-answer\" style=\"display: none\">382 R5<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{4,933}{21}[\/latex]<\/li>\n<li>[latex]56,883\\div 67[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q726474\">Show Solution<\/span><\/p>\n<div id=\"q726474\" class=\"hidden-answer\" style=\"display: none\">849<\/div>\n<\/div>\n<\/li>\n<li>[latex]43,725\/75[\/latex]<\/li>\n<li>[latex]\\frac{30,144}{314}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q662417\">Show Solution<\/span><\/p>\n<div id=\"q662417\" class=\"hidden-answer\" style=\"display: none\">96<\/div>\n<\/div>\n<\/li>\n<li>[latex]26,145\\div 415[\/latex]<\/li>\n<li>[latex]273\\overline{)542,195}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q34229\">Show Solution<\/span><\/p>\n<div id=\"q34229\" class=\"hidden-answer\" style=\"display: none\">1,986 R17<\/div>\n<\/div>\n<\/li>\n<li>[latex]816,243\\div 462[\/latex]<\/li>\n<\/ol>\n<h3>Mixed Practice<\/h3>\n<p>In the following exercises, simplify.<\/p>\n<ol>\n<li>[latex]15\\left(204\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q976827\">Show Solution<\/span><\/p>\n<div id=\"q976827\" class=\"hidden-answer\" style=\"display: none\">3,060<\/div>\n<\/div>\n<\/li>\n<li>[latex]74\\cdot 391[\/latex]<\/li>\n<li>[latex]256 - 184[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q338061\">Show Solution<\/span><\/p>\n<div id=\"q338061\" class=\"hidden-answer\" style=\"display: none\">72<\/div>\n<\/div>\n<\/li>\n<li>[latex]305 - 262[\/latex]<\/li>\n<li>[latex]719+341[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q500643\">Show Solution<\/span><\/p>\n<div id=\"q500643\" class=\"hidden-answer\" style=\"display: none\">1,060<\/div>\n<\/div>\n<\/li>\n<li>[latex]647+528[\/latex]<\/li>\n<li>[latex]25\\overline{)875}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q94074\">Show Solution<\/span><\/p>\n<div id=\"q94074\" class=\"hidden-answer\" style=\"display: none\">35<\/div>\n<\/div>\n<\/li>\n<li>[latex]1104\\div 23[\/latex]<\/li>\n<\/ol>\n<h3>Translate Word Phrases to Algebraic Expressions<\/h3>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol>\n<li>the quotient of [latex]45[\/latex] and [latex]15[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q454494\">Show Solution<\/span><\/p>\n<div id=\"q454494\" class=\"hidden-answer\" style=\"display: none\">45 \u00f7 15; 3<\/div>\n<\/div>\n<\/li>\n<li>the quotient of [latex]64[\/latex] and [latex]16[\/latex]<\/li>\n<li>the quotient of [latex]288[\/latex] and [latex]24[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q998684\">Show Solution<\/span><\/p>\n<div id=\"q998684\" class=\"hidden-answer\" style=\"display: none\">288 \u00f7 24; 12<\/div>\n<\/div>\n<\/li>\n<li>the quotient of [latex]256[\/latex] and [latex]32[\/latex]<\/li>\n<\/ol>\n<h3>Divide Whole Numbers in Applications<\/h3>\n<p>In the following exercises, solve.<\/p>\n<h4>Trail mix<\/h4>\n<p>Ric bought [latex]64[\/latex] ounces of trail mix. He wants to divide it into small bags, with [latex]2[\/latex] ounces of trail mix in each bag. How many bags can Ric fill?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q703317\">Show Solution<\/span><\/p>\n<div id=\"q703317\" class=\"hidden-answer\" style=\"display: none\">Ric can fill 32 bags.<\/div>\n<\/div>\n<h4>Crackers<\/h4>\n<p>Evie bought a [latex]42[\/latex] ounce box of crackers. She wants to divide it into bags with [latex]3[\/latex] ounces of crackers in each bag. How many bags can Evie fill?<\/p>\n<h4>Astronomy class<\/h4>\n<p>There are [latex]125[\/latex] students in an astronomy class. The professor assigns them into groups of [latex]5[\/latex]. How many groups of students are there?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q848883\">Show Solution<\/span><\/p>\n<div id=\"q848883\" class=\"hidden-answer\" style=\"display: none\">There are 25 groups.<\/div>\n<\/div>\n<h4>Flower shop<\/h4>\n<p>Melissa\u2019s flower shop got a shipment of [latex]152[\/latex] roses. She wants to make bouquets of [latex]8[\/latex] roses each. How many bouquets can Melissa make?<\/p>\n<h4>Baking<\/h4>\n<p>One roll of plastic wrap is [latex]48[\/latex] feet long. Marta uses [latex]3[\/latex] feet of plastic wrap to wrap each cake she bakes. How many cakes can she wrap from one roll?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q784744\">Show Solution<\/span><\/p>\n<div id=\"q784744\" class=\"hidden-answer\" style=\"display: none\">Marta can wrap 16 cakes from 1 roll.<\/div>\n<\/div>\n<h4>Dental floss<\/h4>\n<p>One package of dental floss is [latex]54[\/latex] feet long. Brian uses [latex]2[\/latex] feet of dental floss every day. How many days will one package of dental floss last Brian?<\/p>\n<div class=\"textbox exercises\">\n<h3>Everyday Math<\/h3>\n<h4>Contact lenses<\/h4>\n<p>Jenna puts in a new pair of contact lenses every [latex]14[\/latex] days. How many pairs of contact lenses does she need for [latex]365[\/latex] days?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q530506\">Show Solution<\/span><\/p>\n<div id=\"q530506\" class=\"hidden-answer\" style=\"display: none\">Jenna uses 26 pairs of contact lenses, but there is 1 day left over, so she needs 27 pairs for 365 days.<\/div>\n<\/div>\n<h4>Cat food<\/h4>\n<p>One bag of cat food feeds Lara\u2019s cat for [latex]25[\/latex] days. How many bags of cat food does Lara need for [latex]365[\/latex] days?<\/p>\n<\/div>\n<div class=\"textbox learning-objectives\">\n<h3>Writing Exercises<\/h3>\n<p>Explain how you use the multiplication facts to help with division.<\/p>\n<p><textarea aria-label=\"Your Answer\" rows=\"4\"><\/textarea><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q725391\">Show Solution<\/span><\/p>\n<div id=\"q725391\" class=\"hidden-answer\" style=\"display: none\">Answers may vary. Using multiplication facts can help you check your answers once you\u2019ve finished division.<\/div>\n<\/div>\n<p>Oswaldo divided [latex]300[\/latex] by [latex]8[\/latex] and said his answer was [latex]37[\/latex] with a remainder of [latex]4[\/latex]. How can you check to make sure he is correct?<\/p>\n<p><textarea aria-label=\"Your Answer\" rows=\"4\"><\/textarea><\/p>\n<\/div>\n<h2>Mixed Practice (Applications)<\/h2>\n<p>In the following exercises, solve.<\/p>\n<h3>Miles per gallon<\/h3>\n<p>Susana\u2019s hybrid car gets [latex]45[\/latex] miles per gallon. Her son\u2019s truck gets [latex]17[\/latex] miles per gallon. What is the difference in miles per gallon between Susana\u2019s car and her son\u2019s truck?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q802352\">Show Solution<\/span><\/p>\n<div id=\"q802352\" class=\"hidden-answer\" style=\"display: none\">The difference is 28 miles per gallon.<\/div>\n<\/div>\n<h3>Distance<\/h3>\n<p>Mayra lives [latex]53[\/latex] miles from her mother\u2019s house and [latex]71[\/latex] miles from her mother-in-law\u2019s house. How much farther is Mayra from her mother-in-law\u2019s house than from her mother\u2019s house?<\/p>\n<h3>Field trip<\/h3>\n<p>The [latex]45[\/latex] students in a Geology class will go on a field trip, using the college\u2019s vans. Each van can hold [latex]9[\/latex] students. How many vans will they need for the field trip?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q387196\">Show Solution<\/span><\/p>\n<div id=\"q387196\" class=\"hidden-answer\" style=\"display: none\">They will need 5 vans for the field trip<\/div>\n<\/div>\n<h3>Potting soil<\/h3>\n<p>Aki bought a [latex]128[\/latex] ounce bag of potting soil. How many [latex]4[\/latex] ounce pots can he fill from the bag?<\/p>\n<h3>Hiking<\/h3>\n<p>Bill hiked [latex]8[\/latex] miles on the first day of his backpacking trip, [latex]14[\/latex] miles the second day, [latex]11[\/latex] miles the third day, and [latex]17[\/latex] miles the fourth day. What is the total number of miles Bill hiked?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q211222\">Show Solution<\/span><\/p>\n<div id=\"q211222\" class=\"hidden-answer\" style=\"display: none\">Bill hiked 50 miles<\/div>\n<\/div>\n<h3>Reading<\/h3>\n<p>Last night Emily read [latex]6[\/latex] pages in her Business textbook, [latex]26[\/latex] pages in her History text, [latex]15[\/latex] pages in her Psychology text, and [latex]9[\/latex] pages in her math text. What is the total number of pages Emily read?<\/p>\n<h3>Patients<\/h3>\n<p>LaVonne treats [latex]12[\/latex] patients each day in her dental office. Last week she worked [latex]4[\/latex] days. How many patients did she treat last week?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q681170\">Show Solution<\/span><\/p>\n<div id=\"q681170\" class=\"hidden-answer\" style=\"display: none\">LaVonne treated 48 patients last week.<\/div>\n<\/div>\n<h3>Scouts<\/h3>\n<p>There are [latex]14[\/latex] boys in Dave\u2019s scout troop. At summer camp, each boy earned [latex]5[\/latex] merit badges. What was the total number of merit badges earned by Dave\u2019s scout troop at summer camp?<\/p>\n<h2>Chapter Review Exercises<\/h2>\n<div class=\"textbox key-takeaways\">\n<h3>Introduction to Whole Numbers<\/h3>\n<h4>Identify Counting Numbers and Whole Numbers<\/h4>\n<p>In the following exercises, determine which of the following are (a) counting numbers (b) whole numbers.<\/p>\n<ol>\n<li>[latex]0,2,99[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q831720\">Show Solution<\/span><\/p>\n<div id=\"q831720\" class=\"hidden-answer\" style=\"display: none\">\na) Counting numbers: 2, 99<br \/>\nb) Whole numbers: 0, 2, 99\n<\/div>\n<\/div>\n<\/li>\n<li>[latex]0,3,25[\/latex]<\/li>\n<li>[latex]0,4,90[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q693458\">Show Solution<\/span><\/p>\n<div id=\"q693458\" class=\"hidden-answer\" style=\"display: none\">a) Counting numbers: 4, 90<br \/>\nb) Whole numbers: 0, 4, 90<\/div>\n<\/div>\n<\/li>\n<li>[latex]0,1,75[\/latex]<\/li>\n<\/ol>\n<h4>Model Whole Numbers<\/h4>\n<p>In the following exercises, model each number using [latex]\\text{base - 10}[\/latex] blocks and then show its value using place value notation.<\/p>\n<ol>\n<li>258\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q683749\">Show Solution<\/span><\/p>\n<div id=\"q683749\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215705\/CNX_BMath_Figure_01_05_209_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>104<\/li>\n<\/ol>\n<h4>Identify the Place Value of a Digit<\/h4>\n<p>In the following exercises, find the place value of the given digits.<\/p>\n<p>[latex]472,981[\/latex]<\/p>\n<ol>\n<li>[latex]8[\/latex]<\/li>\n<li>[latex]4[\/latex]<\/li>\n<li>[latex]1[\/latex]<\/li>\n<li>[latex]7[\/latex]<\/li>\n<li>[latex]2[\/latex]<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q653929\">Show Solution<\/span><\/p>\n<div id=\"q653929\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>tens<\/li>\n<li>hundred thousands<\/li>\n<li>ones<\/li>\n<li>thousands<\/li>\n<li>ten thousands<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p>[latex]12,403,295[\/latex]<\/p>\n<ol>\n<li>[latex]4[\/latex]<\/li>\n<li>[latex]0[\/latex]<\/li>\n<li>[latex]1[\/latex]<\/li>\n<li>[latex]9[\/latex]<\/li>\n<li>[latex]3[\/latex]<\/li>\n<\/ol>\n<h4>Use Place Value to Name Whole Numbers<\/h4>\n<p>In the following exercises, name each number in words.<\/p>\n<ol>\n<li>[latex]5,280[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q729325\">Show Solution<\/span><\/p>\n<div id=\"q729325\" class=\"hidden-answer\" style=\"display: none\">Five thousand two hundred eighty<\/div>\n<\/div>\n<\/li>\n<li>[latex]204,614[\/latex]<\/li>\n<li>[latex]5,012,582[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q263641\">Show Solution<\/span><\/p>\n<div id=\"q263641\" class=\"hidden-answer\" style=\"display: none\">Five million twelve thousand five hundred eighty-two<\/div>\n<\/div>\n<\/li>\n<li>[latex]31,640,976[\/latex]<\/li>\n<\/ol>\n<h4>Use Place Value to Write Whole Numbers<\/h4>\n<p>In the following exercises, write as a whole number using digits.<\/p>\n<ol>\n<li>six hundred two<\/li>\n<li>fifteen thousand, two hundred fifty-three\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q145338\">Show Solution<\/span><\/p>\n<div id=\"q145338\" class=\"hidden-answer\" style=\"display: none\">15,253<\/div>\n<\/div>\n<\/li>\n<li>three hundred forty million, nine hundred twelve thousand, sixty-one\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q893267\">Show Solution<\/span><\/p>\n<div id=\"q893267\" class=\"hidden-answer\" style=\"display: none\">340,912,061<\/div>\n<\/div>\n<\/li>\n<li>two billion, four hundred ninety-two million, seven hundred eleven thousand, two<\/li>\n<\/ol>\n<h4>Round Whole Numbers<\/h4>\n<p>In the following exercises, round to the nearest ten.<\/p>\n<ol>\n<li>[latex]412[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q202876\">Show Solution<\/span><\/p>\n<div id=\"q202876\" class=\"hidden-answer\" style=\"display: none\">410<\/div>\n<\/div>\n<\/li>\n<li>[latex]648[\/latex]<\/li>\n<li>[latex]3,556[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q573822\">Show Solution<\/span><\/p>\n<div id=\"q573822\" class=\"hidden-answer\" style=\"display: none\">3,560<\/div>\n<\/div>\n<\/li>\n<li>[latex]2,734[\/latex]<\/li>\n<\/ol>\n<p>In the following exercises, round to the nearest hundred.<\/p>\n<ol>\n<li>[latex]38,975[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q726326\">Show Solution<\/span><\/p>\n<div id=\"q726326\" class=\"hidden-answer\" style=\"display: none\">39,000<\/div>\n<\/div>\n<\/li>\n<li>[latex]26,849[\/latex]<\/li>\n<li>[latex]81,486[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q455109\">Show Solution<\/span><\/p>\n<div id=\"q455109\" class=\"hidden-answer\" style=\"display: none\">81,500<\/div>\n<\/div>\n<\/li>\n<li>[latex]75,992[\/latex]<\/li>\n<\/ol>\n<\/div>\n<div>\n<div class=\"textbox key-takeaways\">\n<h3>Add Whole Numbers<\/h3>\n<h4>Use Addition Notation<\/h4>\n<p>In the following exercises, translate the following from math notation to words.<\/p>\n<ol>\n<li>[latex]4+3[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q38132\">Show Solution<\/span><\/p>\n<div id=\"q38132\" class=\"hidden-answer\" style=\"display: none\">four plus three; the sum of four and three<\/div>\n<\/div>\n<\/li>\n<li>[latex]25+18[\/latex]<\/li>\n<li>[latex]571+629[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q283519\">Show Solution<\/span><\/p>\n<div id=\"q283519\" class=\"hidden-answer\" style=\"display: none\">five hundred seventy-one plus six hundred twenty-nine; the sum of five hundred seventy-one and six hundred twenty-nine<\/div>\n<\/div>\n<\/li>\n<li>[latex]10,085+3,492[\/latex]<\/li>\n<\/ol>\n<h4>Model Addition of Whole Numbers<\/h4>\n<p>In the following exercises, model the addition.<\/p>\n<ol>\n<li>[latex]6+7[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q29969\">Show Solution<\/span><\/p>\n<div id=\"q29969\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215707\/CNX_BMath_Figure_01_05_211_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>[latex]38+14[\/latex]<\/li>\n<\/ol>\n<h4>Add Whole Numbers<\/h4>\n<p>In the following exercises, fill in the missing values in each chart.<\/p>\n<h5>Exercise 1<\/h5>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215708\/CNX_BMath_Figure_01_05_222_img.png\" alt=\"A table with 11 rows down and 11 rows across. The first row and first column are headers and include the numbers 0 through 9 both across and down, with a plus sign in the first cell. The numbers across in the second row down appear as follows: 0,0, 1, null, 3, 4, null, 6, 7, null, 9. The numbers across in the third row down appear as follows: 1, 1, 2, 3, 4, null, null, 7, 8, 9, null. The numbers in the fourth row down appear across as follows: 2, null, 3,4,5,6,7,8, null, 10, 11. The numbers across in the fifth row down appear as follows: 3, 3, null, 5, null, 7, 8, null, 10, null 12. The numbers across in the sixth row down appear as follows: 4, 4, 5, null, null, 8, 9,null, null, 12, null. The numbers across in the seventh row down appear as follows: 5, 5, null, 7, 8, null null, 11, null, 13, null. The numbers across in the eighth row down appear as follows:6, 6, 7, 8, null, 10, null, null, 13, null, 15. The numbers across in the ninth row down appear as follows: null, null, 9, null, null, 12, 13, null, 15, 16. The numbers across in the tenth row down appear as follows: 8,8,9,null, 11, null, null, 14, null, eleventh row down appear as follows: 9, 9, 10, 11, null, 13, 14, null, null, 17, null.\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q330420\">Show Solution<\/span><\/p>\n<div id=\"q330420\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215710\/CNX_BMath_Figure_01_05_223_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<h5>Exercise 2<\/h5>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215711\/CNX_BMath_Figure_01_05_224_img.png\" alt=\"This table is 5 rows and 8 columns. The top row is a header row and includes the numbers 3 through 9, one number to each cell. The rows down include 6, 7, 8, and 9. There is a plus sign in the first cell. All cells are null.\" \/><\/p>\n<p>In the following exercises, add.<\/p>\n<ol>\n<li>[latex]0+19[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q145467\">Show Solution<\/span><\/p>\n<div id=\"q145467\" class=\"hidden-answer\" style=\"display: none\">19<\/div>\n<\/div>\n<\/li>\n<li>[latex]19+0[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q589751\">Show Solution<\/span><\/p>\n<div id=\"q589751\" class=\"hidden-answer\" style=\"display: none\">19<\/div>\n<\/div>\n<\/li>\n<li>[latex]0+480[\/latex]<\/li>\n<li>[latex]480+0[\/latex]<\/li>\n<li>[latex]7+6[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q856029\">Show Solution<\/span><\/p>\n<div id=\"q856029\" class=\"hidden-answer\" style=\"display: none\">13<\/div>\n<\/div>\n<\/li>\n<li>[latex]6+7[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q20400\">Show Solution<\/span><\/p>\n<div id=\"q20400\" class=\"hidden-answer\" style=\"display: none\">13<\/div>\n<\/div>\n<\/li>\n<li>[latex]23+18[\/latex]<\/li>\n<li>[latex]18+23[\/latex]<\/li>\n<li>[latex]44+35[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q96213\">Show Solution<\/span><\/p>\n<div id=\"q96213\" class=\"hidden-answer\" style=\"display: none\">82<\/div>\n<\/div>\n<\/li>\n<li>[latex]63+29[\/latex]<\/li>\n<li>[latex]96+58[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q848688\">Show Solution<\/span><\/p>\n<div id=\"q848688\" class=\"hidden-answer\" style=\"display: none\">154<\/div>\n<\/div>\n<\/li>\n<li>[latex]375+591[\/latex]<\/li>\n<li>[latex]7,281+12,546[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q101375\">Show Solution<\/span><\/p>\n<div id=\"q101375\" class=\"hidden-answer\" style=\"display: none\">19,827<\/div>\n<\/div>\n<\/li>\n<li>[latex]5,280+16,324+9,731[\/latex]<\/li>\n<\/ol>\n<h4>Translate Word Phrases to Math Notation<\/h4>\n<p>In the following exercises, translate each phrase into math notation and then simplify.<\/p>\n<ol>\n<li>the sum of [latex]30[\/latex] and [latex]12[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q539744\">Show Solution<\/span><\/p>\n<div id=\"q539744\" class=\"hidden-answer\" style=\"display: none\">30 + 12; 42<\/div>\n<\/div>\n<\/li>\n<li>[latex]11[\/latex] increased by [latex]8[\/latex]<\/li>\n<li>[latex]25[\/latex] more than [latex]39[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q987701\">Show Solution<\/span><\/p>\n<div id=\"q987701\" class=\"hidden-answer\" style=\"display: none\">39 + 25; 64<\/div>\n<\/div>\n<\/li>\n<li>total of [latex]15[\/latex] and [latex]50[\/latex]<\/li>\n<\/ol>\n<h4>Add Whole Numbers in Applications<\/h4>\n<p>In the following exercises, solve.<\/p>\n<h5>Shopping for an interview<\/h5>\n<p>Nathan bought a new shirt, tie, and slacks to wear to a job interview. The shirt cost [latex]\\$24[\/latex], the tie cost [latex]\\$14[\/latex], and the slacks cost [latex]\\$38[\/latex]. What was Nathan\u2019s total cost?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q497986\">Show Solution<\/span><\/p>\n<div id=\"q497986\" class=\"hidden-answer\" style=\"display: none\">$76<\/div>\n<\/div>\n<h5>Running<\/h5>\n<p>Jackson ran [latex]4[\/latex] miles on Monday, [latex]12[\/latex] miles on Tuesday, [latex]1[\/latex] mile on Wednesday, [latex]8[\/latex] miles on Thursday, and [latex]5[\/latex] miles on Friday. What was the total number of miles Jackson ran?<\/p>\n<h4>Add Whole Numbers in Applications<\/h4>\n<p>In the following exercises, find the perimeter of each figure.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215713\/CNX_BMath_Figure_01_05_213_img.png\" alt=\"An image of a rectangle that is 8 feet tall and 15 feet wide.\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q278748\">Show Solution<\/span><\/p>\n<div id=\"q278748\" class=\"hidden-answer\" style=\"display: none\">46 feet<\/div>\n<\/div>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215714\/CNX_BMath_Figure_01_05_214_img.png\" alt=\"An image of a right triangle that has a base of 12 centimeters, height of 5 centimeters, and diagonal hypotenuse of 13 centimeters.\" \/><\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Subtract Whole Numbers<\/h3>\n<h4>Use Subtraction Notation<\/h4>\n<p>In the following exercises, translate the following from math notation to words.<\/p>\n<ol>\n<li>[latex]14 - 5[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q246819\">Show Solution<\/span><\/p>\n<div id=\"q246819\" class=\"hidden-answer\" style=\"display: none\">fourteen minus five; the difference of fourteen and five<\/div>\n<\/div>\n<\/li>\n<li>[latex]40 - 15[\/latex]<\/li>\n<li>[latex]351 - 249[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q968632\">Show Solution<\/span><\/p>\n<div id=\"q968632\" class=\"hidden-answer\" style=\"display: none\">three hundred fifty-one minus two hundred forty-nine; the difference between three hundred fifty-one and two hundred forty-nine<\/div>\n<\/div>\n<\/li>\n<li>[latex]5,724 - 2,918[\/latex]<\/li>\n<\/ol>\n<h4>Model Subtraction of Whole Numbers<\/h4>\n<p>In the following exercises, model the subtraction.<\/p>\n<ol>\n<li>[latex]18 - 4[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q34330\">Show Solution<\/span><\/p>\n<div id=\"q34330\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215715\/CNX_BMath_Figure_01_05_215_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>[latex]41 - 29[\/latex]<\/li>\n<\/ol>\n<h4>Subtract Whole Numbers<\/h4>\n<p>In the following exercises, subtract and then check by adding.<\/p>\n<ol>\n<li>[latex]8 - 5[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q217308\">Show Solution<\/span><\/p>\n<div id=\"q217308\" class=\"hidden-answer\" style=\"display: none\">3<\/div>\n<\/div>\n<\/li>\n<li>[latex]12 - 7[\/latex]<\/li>\n<li>[latex]23 - 9[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q394017\">Show Solution<\/span><\/p>\n<div id=\"q394017\" class=\"hidden-answer\" style=\"display: none\">14<\/div>\n<\/div>\n<\/li>\n<li>[latex]46 - 21[\/latex]<\/li>\n<li>[latex]82 - 59[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q680195\">Show Solution<\/span><\/p>\n<div id=\"q680195\" class=\"hidden-answer\" style=\"display: none\">23<\/div>\n<\/div>\n<\/li>\n<li>[latex]110 - 87[\/latex]<\/li>\n<li>[latex]539 - 217[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q150101\">Show Solution<\/span><\/p>\n<div id=\"q150101\" class=\"hidden-answer\" style=\"display: none\">322<\/div>\n<\/div>\n<\/li>\n<li>[latex]415 - 296[\/latex]<\/li>\n<li>[latex]1,020 - 640[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q750552\">Show Solution<\/span><\/p>\n<div id=\"q750552\" class=\"hidden-answer\" style=\"display: none\">380<\/div>\n<\/div>\n<\/li>\n<li>[latex]8,355 - 3,947[\/latex]<\/li>\n<li>[latex]10,000 - 15[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q695000\">Show Solution<\/span><\/p>\n<div id=\"q695000\" class=\"hidden-answer\" style=\"display: none\">9,985<\/div>\n<\/div>\n<\/li>\n<li>[latex]54,925 - 35,647[\/latex]<\/li>\n<\/ol>\n<h4>Translate Word Phrases to Math Notation<\/h4>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol>\n<li>the difference of nineteen and thirteen\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q504215\">Show Solution<\/span><\/p>\n<div id=\"q504215\" class=\"hidden-answer\" style=\"display: none\">19 \u2212 13; 6<\/div>\n<\/div>\n<\/li>\n<li>subtract sixty-five from one hundred<\/li>\n<li>seventy-four decreased by eight\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q766833\">Show Solution<\/span><\/p>\n<div id=\"q766833\" class=\"hidden-answer\" style=\"display: none\">74 \u2212 8; 66<\/div>\n<\/div>\n<\/li>\n<li>twenty-three less than forty-one<\/li>\n<\/ol>\n<h4>Subtract Whole Numbers in Applications<\/h4>\n<p>In the following exercises, solve.<\/p>\n<h5>Temperature<\/h5>\n<p>The high temperature in Peoria one day was [latex]86[\/latex] degrees Fahrenheit and the low temperature was [latex]28[\/latex] degrees Fahrenheit. What was the difference between the high and low temperatures?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q524103\">Show Solution<\/span><\/p>\n<div id=\"q524103\" class=\"hidden-answer\" style=\"display: none\">58 degrees Fahrenheit<\/div>\n<\/div>\n<h5>Savings<\/h5>\n<p>Lynn wants to go on a cruise that costs [latex]\\$2,485[\/latex]. She has [latex]\\$948[\/latex] in her vacation savings account. How much more does she need to save in order to pay for the cruise?<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Multiply Whole Numbers<\/h3>\n<h4>Use Multiplication Notation<\/h4>\n<p>In the following exercises, translate from math notation to words.<\/p>\n<ol>\n<li>[latex]8\\times 5[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q118725\">Show Solution<\/span><\/p>\n<div id=\"q118725\" class=\"hidden-answer\" style=\"display: none\">eight times five the product of eight and five<\/div>\n<\/div>\n<\/li>\n<li>[latex]6\\cdot 14[\/latex]<\/li>\n<li>[latex]\\left(10\\right)\\left(95\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q482378\">Show Solution<\/span><\/p>\n<div id=\"q482378\" class=\"hidden-answer\" style=\"display: none\">ten times ninety-five; the product of ten and ninety-five<\/div>\n<\/div>\n<\/li>\n<li>[latex]54\\left(72\\right)[\/latex]<\/li>\n<\/ol>\n<h4>Model Multiplication of Whole Numbers<\/h4>\n<p>In the following exercises, model the multiplication.<\/p>\n<ol>\n<li>[latex]2\\times 4[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q695534\">Show Solution<\/span><\/p>\n<div id=\"q695534\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215716\/CNX_BMath_Figure_01_05_218_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>[latex]3\\times 8[\/latex]<\/li>\n<\/ol>\n<h4>Multiply Whole Numbers<\/h4>\n<p>In the following exercises, fill in the missing values in each chart.<\/p>\n<h5>Exercises 1<\/h5>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215717\/CNX_BMath_Figure_01_05_226_img.png\" alt=\"A table with 10 rows down and 10 rows across. The first row and first column are headers and include the numbers 0 through 9 both across and down, with a plus sign in the first cell. The numbers across in the second row down appear as follows: 0, 0, 0, 0, 0, 0, null, 0, null, 0,0. The numbers across in the third row down appear as follows: 1, 0, 1, 2, null, 4, 5, 6, 7, null, 9. The numbers across in the fourth row down appear as follows: 2, 0, null, 4, null, 8, 10, null, 14, 16, null. The numbers across in the fifth row down appear as follows: 3, null, 3, null, 9, null, null, 18, null, 24, null. The numbers across in the sixth row down appear as follows: 4, 0, 4, 0, 12, null, null, 24, null, null, 36. The numbers across in the seventh row down appear as follows:5, 0, 5, 10, null, 20, null, 30, 35, 40, 45. The numbers across in the eighth row down appear as follows: 6, null, null, 12, 18, null, null, 36, 42, null, 54. The numbers across in the ninth row down appear as follows: 7, 0, 7, null, 21, null, 35, null, null, 56, 63. The numbers in the tenth row down appear as follows: 8, 0, 8, 16, null, 32, null, 48, null, 64, null. The numbers in the eleventh row down appear across as follows: 9, null, null, 18, 27, 36, null, null, 63, 72, null.\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q710456\">Show Solution<\/span><\/p>\n<div id=\"q710456\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215719\/CNX_BMath_Figure_01_05_227_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<h5>Exercises 2<\/h5>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215721\/CNX_BMath_Figure_01_05_228_img.png\" alt=\"An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The first row has the values\" \/><\/p>\n<h4>Multiply Whole Numbers<\/h4>\n<p>In the following exercises, multiply.<\/p>\n<ol>\n<li>[latex]0\\cdot 14[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q182293\">Show Solution<\/span><\/p>\n<div id=\"q182293\" class=\"hidden-answer\" style=\"display: none\">0<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\left(256\\right)0[\/latex]<\/li>\n<li>[latex]1\\cdot 99[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q649848\">Show Solution<\/span><\/p>\n<div id=\"q649848\" class=\"hidden-answer\" style=\"display: none\">99<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\left(4,789\\right)1[\/latex]<\/li>\n<li>[latex]7\\cdot 4[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q576249\">Show Solution<\/span><\/p>\n<div id=\"q576249\" class=\"hidden-answer\" style=\"display: none\">28<\/div>\n<\/div>\n<\/li>\n<li>[latex]4\\cdot 7[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q80950\">Show Solution<\/span><\/p>\n<div id=\"q80950\" class=\"hidden-answer\" style=\"display: none\">28<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\left(25\\right)\\left(6\\right)[\/latex]<\/li>\n<li>[latex]9,261\\times 3[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q251819\">Show Solution<\/span><\/p>\n<div id=\"q251819\" class=\"hidden-answer\" style=\"display: none\">27,783<\/div>\n<\/div>\n<\/li>\n<li>[latex]48\\cdot 76[\/latex]<\/li>\n<li>[latex]64\\cdot 10[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q902962\">Show Solution<\/span><\/p>\n<div id=\"q902962\" class=\"hidden-answer\" style=\"display: none\">640<\/div>\n<\/div>\n<\/li>\n<li>[latex]1,000\\left(22\\right)[\/latex]<\/li>\n<li>[latex]162\\times 493[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q82110\">Show Solution<\/span><\/p>\n<div id=\"q82110\" class=\"hidden-answer\" style=\"display: none\">79,866<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\left(601\\right)\\left(943\\right)[\/latex]<\/li>\n<li>[latex]3,624\\times 517[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q146410\">Show Solution<\/span><\/p>\n<div id=\"q146410\" class=\"hidden-answer\" style=\"display: none\">1,873,608<\/div>\n<\/div>\n<\/li>\n<li>[latex]10,538\\cdot 22[\/latex]<\/li>\n<\/ol>\n<h4>Translate Word Phrases to Math Notation<\/h4>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol>\n<li>the product of [latex]15[\/latex] and [latex]28[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q323141\">Show Solution<\/span><\/p>\n<div id=\"q323141\" class=\"hidden-answer\" style=\"display: none\">15(28); 420<\/div>\n<\/div>\n<\/li>\n<li>ninety-four times thirty-three<\/li>\n<li>twice [latex]575[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q180155\">Show Solution<\/span><\/p>\n<div id=\"q180155\" class=\"hidden-answer\" style=\"display: none\">2(575); 1,150<\/div>\n<\/div>\n<\/li>\n<li>ten times two hundred sixty-four<\/li>\n<\/ol>\n<h4>Multiply Whole Numbers in Applications<\/h4>\n<p>In the following exercises, solve.<\/p>\n<h5>Gardening<\/h5>\n<p>Geniece bought [latex]8[\/latex] packs of marigolds to plant in her yard. Each pack has [latex]6[\/latex] flowers. How many marigolds did Geniece buy?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q73854\">Show Solution<\/span><\/p>\n<div id=\"q73854\" class=\"hidden-answer\" style=\"display: none\">48 marigolds<\/div>\n<\/div>\n<h5>Cooking<\/h5>\n<p>Ratika is making rice for a dinner party. The number of cups of water is twice the number of cups of rice. If Ratika plans to use [latex]4[\/latex] cups of rice, how many cups of water does she need?<\/p>\n<h5>Multiplex<\/h5>\n<p>There are twelve theaters at the multiplex and each theater has [latex]150[\/latex] seats. What is the total number of seats at the multiplex?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q187019\">Show Solution<\/span><\/p>\n<div id=\"q187019\" class=\"hidden-answer\" style=\"display: none\">1,800 seats<\/div>\n<\/div>\n<h5>Roofing<\/h5>\n<p>Lewis needs to put new shingles on his roof. The roof is a rectangle, [latex]30[\/latex] feet by [latex]24[\/latex] feet. What is the area of the roof?<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Divide Whole Numbers<\/h3>\n<h4>Use Division Notation<\/h4>\n<p>Translate from math notation to words.<\/p>\n<ol>\n<li>[latex]54\\div 9[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q854648\">Show Solution<\/span><\/p>\n<div id=\"q854648\" class=\"hidden-answer\" style=\"display: none\">fifty-four divided by nine; the quotient of fifty-four and nine<\/div>\n<\/div>\n<\/li>\n<li>[latex]42\/7[\/latex]<\/li>\n<li>[latex]\\frac{72}{8}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q622029\">Show Solution<\/span><\/p>\n<div id=\"q622029\" class=\"hidden-answer\" style=\"display: none\">seventy-two divided by eight; the quotient of seventy-two and eight<\/div>\n<\/div>\n<\/li>\n<li>[latex]6\\overline{)48}[\/latex]<\/li>\n<\/ol>\n<h4>Model Division of Whole Numbers<\/h4>\n<p>In the following exercises, model.<\/p>\n<ol>\n<li>[latex]8\\div 2[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q737734\">Show Solution<\/span><\/p>\n<div id=\"q737734\" class=\"hidden-answer\" style=\"display: none\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215722\/CNX_BMath_Figure_01_05_220_img.png\" alt=\"No Alt Text\" \/><\/div>\n<\/div>\n<\/li>\n<li>[latex]3\\overline{)12}[\/latex]<\/li>\n<\/ol>\n<h4>Divide Whole Numbers<\/h4>\n<p>In the following exercises, divide. Then check by multiplying.<\/p>\n<ol>\n<li>[latex]14\\div 2[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q963808\">Show Solution<\/span><\/p>\n<div id=\"q963808\" class=\"hidden-answer\" style=\"display: none\">7<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{32}{8}[\/latex]<\/li>\n<li>[latex]52\\div 4[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q792177\">Show Solution<\/span><\/p>\n<div id=\"q792177\" class=\"hidden-answer\" style=\"display: none\">13<\/div>\n<\/div>\n<\/li>\n<li>[latex]26\\overline{)26}[\/latex]<\/li>\n<li>[latex]\\frac{97}{1}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q960746\">Show Solution<\/span><\/p>\n<div id=\"q960746\" class=\"hidden-answer\" style=\"display: none\">97<\/div>\n<\/div>\n<\/li>\n<li>[latex]0\\div 52[\/latex]<\/li>\n<li>[latex]100\\div 0[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q141774\">Show Solution<\/span><\/p>\n<div id=\"q141774\" class=\"hidden-answer\" style=\"display: none\">undefined<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{355}{5}[\/latex]<\/li>\n<li>[latex]3828\\div 6[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q150895\">Show Solution<\/span><\/p>\n<div id=\"q150895\" class=\"hidden-answer\" style=\"display: none\">638<\/div>\n<\/div>\n<\/li>\n<li>[latex]31\\overline{)1,519}[\/latex]<\/li>\n<li>[latex]\\frac{7505}{25}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q911783\">Show Solution<\/span><\/p>\n<div id=\"q911783\" class=\"hidden-answer\" style=\"display: none\">300 R5<\/div>\n<\/div>\n<\/li>\n<li>[latex]5,166\\div 42[\/latex]<\/li>\n<\/ol>\n<h4>Translate Word Phrases to Math Notation<\/h4>\n<p>In the following exercises, translate and simplify.<\/p>\n<ol>\n<li>the quotient of [latex]64[\/latex] and [latex]16[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q641059\">Show Solution<\/span><\/p>\n<div id=\"q641059\" class=\"hidden-answer\" style=\"display: none\">64 \u00f7 16; 4<\/div>\n<\/div>\n<\/li>\n<li>the quotient of [latex]572[\/latex] and [latex]52[\/latex]<\/li>\n<\/ol>\n<h4>Divide Whole Numbers in Applications<\/h4>\n<p>In the following exercises, solve.<\/p>\n<h5>Ribbon<\/h5>\n<p>One spool of ribbon is [latex]27[\/latex] feet. Lizbeth uses [latex]3[\/latex] feet of ribbon for each gift basket that she wraps. How many gift baskets can Lizbeth wrap from one spool of ribbon?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q915231\">Show Solution<\/span><\/p>\n<div id=\"q915231\" class=\"hidden-answer\" style=\"display: none\">9 baskets<\/div>\n<\/div>\n<h5>Juice<\/h5>\n<p>One carton of fruit juice is [latex]128[\/latex] ounces. How many [latex]4[\/latex] ounce cups can Shayla fill from one carton of juice?<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox examples\">\n<h3>Chapter Practice Test<\/h3>\n<p>Determine which of the following numbers are a) counting numbers and b)\u00a0whole numbers.<\/p>\n<ol>\n<li>[latex]0,4,87[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q527977\">Show Solution<\/span><\/p>\n<div id=\"q527977\" class=\"hidden-answer\" style=\"display: none\">\na) Counting numbers: 4, 87<br \/>\nb) Whole numbers: 0, 4, 8<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<p>Find the place value of the given digits in the number [latex]549,362[\/latex].<\/p>\n<ol>\n<li>[latex]9[\/latex]<\/li>\n<li>[latex]6[\/latex]<\/li>\n<li>[latex]2[\/latex]<\/li>\n<li>[latex]5[\/latex]<\/li>\n<\/ol>\n<p>Write each number as a whole number using digits.<\/p>\n<ol>\n<li>six hundred thirteen\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q210896\">Show Solution<\/span><\/p>\n<div id=\"q210896\" class=\"hidden-answer\" style=\"display: none\">613<\/div>\n<\/div>\n<\/li>\n<li>fifty-five thousand two hundred eight\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q707194\">Show Solution<\/span><\/p>\n<div id=\"q707194\" class=\"hidden-answer\" style=\"display: none\">55,208<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<p>Round [latex]25,849[\/latex] to the nearest hundred.<\/p>\n<p>Simplify.<\/p>\n<ol>\n<li>[latex]45+23[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q142971\">Show Solution<\/span><\/p>\n<div id=\"q142971\" class=\"hidden-answer\" style=\"display: none\">68<\/div>\n<\/div>\n<\/li>\n<li>[latex]65 - 42[\/latex]<\/li>\n<li>[latex]85\\div 5[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q950734\">Show Solution<\/span><\/p>\n<div id=\"q950734\" class=\"hidden-answer\" style=\"display: none\">17<\/div>\n<\/div>\n<\/li>\n<li>[latex]1,000\\times 8[\/latex]<\/li>\n<li>[latex]90 - 58[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q298963\">Show Solution<\/span><\/p>\n<div id=\"q298963\" class=\"hidden-answer\" style=\"display: none\">32<\/div>\n<\/div>\n<\/li>\n<li>[latex]73+89[\/latex]<\/li>\n<li>[latex]\\left(0\\right)\\left(12,675\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q934664\">Show Solution<\/span><\/p>\n<div id=\"q934664\" class=\"hidden-answer\" style=\"display: none\">0<\/div>\n<\/div>\n<\/li>\n<li>[latex]634+255[\/latex]<\/li>\n<li>[latex]\\frac{0}{9}[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q879105\">Show Solution<\/span><\/p>\n<div id=\"q879105\" class=\"hidden-answer\" style=\"display: none\">0<\/div>\n<\/div>\n<\/li>\n<li>[latex]8\\overline{)128}[\/latex]<\/li>\n<li>[latex]145 - 79[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q68588\">Show Solution<\/span><\/p>\n<div id=\"q68588\" class=\"hidden-answer\" style=\"display: none\">66<\/div>\n<\/div>\n<\/li>\n<li>[latex]299+836[\/latex]<\/li>\n<li>[latex]7\\cdot 475[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q349800\">Show Solution<\/span><\/p>\n<div id=\"q349800\" class=\"hidden-answer\" style=\"display: none\">3,325<\/div>\n<\/div>\n<\/li>\n<li>[latex]8,528+704[\/latex]<\/li>\n<li>[latex]35\\left(14\\right)[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q204461\">Show Solution<\/span><\/p>\n<div id=\"q204461\" class=\"hidden-answer\" style=\"display: none\">490<\/div>\n<\/div>\n<\/li>\n<li>[latex]\\frac{26}{0}[\/latex]<\/li>\n<li>[latex]733 - 291[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q840800\">Show Solution<\/span><\/p>\n<div id=\"q840800\" class=\"hidden-answer\" style=\"display: none\">442<\/div>\n<\/div>\n<\/li>\n<li>[latex]4,916 - 1,538[\/latex]<\/li>\n<li>[latex]495\\div 45[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q213882\">Show Solution<\/span><\/p>\n<div id=\"q213882\" class=\"hidden-answer\" style=\"display: none\">11<\/div>\n<\/div>\n<\/li>\n<li>[latex]52\\times 983[\/latex]<\/li>\n<\/ol>\n<p>Translate each phrase to math notation and then simplify.<\/p>\n<ol>\n<li>The sum of [latex]16[\/latex] and [latex]58[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q573271\">Show Solution<\/span><\/p>\n<div id=\"q573271\" class=\"hidden-answer\" style=\"display: none\">16 + 58; 74<\/div>\n<\/div>\n<\/li>\n<li>The product of [latex]9[\/latex] and [latex]15[\/latex]<\/li>\n<li>The difference of [latex]32[\/latex] and [latex]18[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q566281\">Show Solution<\/span><\/p>\n<div id=\"q566281\" class=\"hidden-answer\" style=\"display: none\">32 \u2212 18; 14<\/div>\n<\/div>\n<\/li>\n<li>The quotient of [latex]63[\/latex] and [latex]21[\/latex]<\/li>\n<li>Twice [latex]524[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q86513\">Show Solution<\/span><\/p>\n<div id=\"q86513\" class=\"hidden-answer\" style=\"display: none\">2(524); 1,048<\/div>\n<\/div>\n<\/li>\n<li>[latex]29[\/latex] more than [latex]32[\/latex]<\/li>\n<li>[latex]50[\/latex] less than [latex]300[\/latex]\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q848397\">Show Solution<\/span><\/p>\n<div id=\"q848397\" class=\"hidden-answer\" style=\"display: none\">300 \u2212 50; 250<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<p>In the following exercises, solve.<\/p>\n<ol>\n<li>LaVelle buys a jumbo bag of [latex]84[\/latex] candies to make favor bags for her son\u2019s party. If she wants to make [latex]12[\/latex] bags, how many candies should she put in each bag?<\/li>\n<li>Last month, Stan\u2019s take-home pay was [latex]\\$3,816[\/latex] and his expenses were [latex]\\$3,472[\/latex]. How much of his take-home pay did Stan have left after he paid his expenses?\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q770468\">Show Solution<\/span><\/p>\n<div id=\"q770468\" class=\"hidden-answer\" style=\"display: none\">Stan had $344 left.<\/div>\n<\/div>\n<\/li>\n<li>Each class at Greenville School has [latex]22[\/latex] children enrolled. The school has [latex]24[\/latex] classes. How many children are enrolled at Greenville School?<\/li>\n<li>Clayton walked [latex]12[\/latex] blocks to his mother\u2019s house, [latex]6[\/latex] blocks to the gym, and [latex]9[\/latex] blocks to the grocery store before walking the last [latex]3[\/latex] blocks home. What was the total number of blocks that Clayton walked?\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q992095\">Show Solution<\/span><\/p>\n<div id=\"q992095\" class=\"hidden-answer\" style=\"display: none\">Clayton walked 30 blocks<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<\/div>\n<h2>Contribute!<\/h2>\n<div style=\"margin-bottom: 8px;\">Did you have an idea for improving this content? We\u2019d love your input.<\/div>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1Dm4dgXoP6_JmcIJsAdODFLKeoSmlAO4nUfss7YjYNdU\" target=\"_blank\" style=\"font-size: 10pt; font-weight: 600; color: #077fab; text-decoration: none; border: 2px solid #077fab; border-radius: 7px; padding: 5px 25px; text-align: center; cursor: pointer; line-height: 1.5em;\">Improve this page<\/a><a style=\"margin-left: 16px;\" target=\"_blank\" href=\"https:\/\/docs.google.com\/document\/d\/1vy-T6DtTF-BbMfpVEI7VP_R7w2A4anzYZLXR8Pk4Fu4\">Learn More<\/a><\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-8992\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":1,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"}]","CANDELA_OUTCOMES_GUID":"30d58c62-18af-45bc-a72c-870c211de77e","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-8992","chapter","type-chapter","status-publish","hentry"],"part":18911,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/8992","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":26,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/8992\/revisions"}],"predecessor-version":[{"id":16693,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/8992\/revisions\/16693"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/parts\/18911"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/8992\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/media?parent=8992"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapter-type?post=8992"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/contributor?post=8992"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/license?post=8992"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}