{"id":8971,"date":"2017-04-27T21:51:38","date_gmt":"2017-04-27T21:51:38","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&p=8971"},"modified":"2019-08-16T21:29:28","modified_gmt":"2019-08-16T21:29:28","slug":"problem-set-decimals","status":"web-only","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/chapter\/problem-set-decimals\/","title":{"raw":"Problem Set: Decimals","rendered":"Problem Set: Decimals"},"content":{"raw":"

Writing and Identifying Characteristics of Decimals<\/h2>\r\n

Name Decimals<\/h3>\r\nIn the following exercises, name each decimal.\r\n
    \r\n \t
  1. [latex]5.5[\/latex]\r\n[reveal-answer q=\"260862\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"260862\"]five and five tenths[\/hidden-answer]<\/li>\r\n \t
  2. [latex]7.8[\/latex]<\/li>\r\n \t
  3. [latex]5.01[\/latex]\r\n[reveal-answer q=\"78722\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"78722\"]five and one hundredth[\/hidden-answer]<\/li>\r\n \t
  4. [latex]14.02[\/latex]<\/li>\r\n \t
  5. [latex]8.71[\/latex]\r\n[reveal-answer q=\"9000\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"9000\"]eight and seventy-one hundredths[\/hidden-answer]<\/li>\r\n \t
  6. [latex]2.64[\/latex]<\/li>\r\n \t
  7. [latex]0.002[\/latex]\r\n[reveal-answer q=\"710387\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"710387\"]two thousandths[\/hidden-answer]<\/li>\r\n \t
  8. [latex]0.005[\/latex]<\/li>\r\n \t
  9. [latex]0.381[\/latex]\r\n[reveal-answer q=\"15985\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"15985\"]three hundred eighty-one thousandths[\/hidden-answer]<\/li>\r\n \t
  10. [latex]0.479[\/latex]<\/li>\r\n \t
  11. [latex]-17.9[\/latex]\r\n[reveal-answer q=\"6472\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"6472\"]negative seventeen and nine tenths[\/hidden-answer]<\/li>\r\n \t
  12. [latex]-31.4[\/latex]<\/li>\r\n<\/ol>\r\n

    Write Decimals<\/h3>\r\nIn the following exercises, translate the name into a decimal number.\r\n
      \r\n \t
    1. Eight and three hundredths\r\n[reveal-answer q=\"906682\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"906682\"]8.03[\/hidden-answer]<\/li>\r\n \t
    2. Nine and seven hundredths<\/li>\r\n \t
    3. Twenty-nine and eighty-one hundredths\r\n[reveal-answer q=\"531061\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"531061\"]29.81[\/hidden-answer]<\/li>\r\n \t
    4. Sixty-one and seventy-four hundredths<\/li>\r\n \t
    5. Seven tenths\r\n[reveal-answer q=\"11799\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"11799\"]0.7[\/hidden-answer]<\/li>\r\n \t
    6. Six tenths<\/li>\r\n \t
    7. One thousandth\r\n[reveal-answer q=\"120793\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"120793\"]0.001[\/hidden-answer]<\/li>\r\n \t
    8. Nine thousandths<\/li>\r\n \t
    9. Twenty-nine thousandths\r\n[reveal-answer q=\"98054\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"98054\"]0.029[\/hidden-answer]<\/li>\r\n \t
    10. Thirty-five thousandths<\/li>\r\n \t
    11. Negative eleven and nine ten-thousandths\r\n[reveal-answer q=\"52877\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"52877\"]\u221211.0009[\/hidden-answer]<\/li>\r\n \t
    12. Negative fifty-nine and two ten-thousandths<\/li>\r\n \t
    13. Thirteen and three hundred ninety-five ten thousandths\r\n[reveal-answer q=\"401588\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"401588\"]13.0395[\/hidden-answer]<\/li>\r\n \t
    14. Thirty and two hundred seventy-nine thousandths<\/li>\r\n<\/ol>\r\n

      Convert Decimals to Fractions or Mixed Numbers<\/h3>\r\nIn the following exercises, convert each decimal to a fraction or mixed number.\r\n
        \r\n \t
      1. [latex]1.99[\/latex]\r\n[reveal-answer q=\"488534\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"488534\"][latex]1\\Large\\frac{99}{100}[\/latex][\/hidden-answer]<\/li>\r\n \t
      2. [latex]5.83[\/latex]<\/li>\r\n \t
      3. [latex]15.7[\/latex]\r\n[reveal-answer q=\"852986\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"852986\"][latex]15\\Large\\frac{7}{10}[\/latex][\/hidden-answer]<\/li>\r\n \t
      4. [latex]18.1[\/latex]<\/li>\r\n \t
      5. [latex]0.239[\/latex]\r\n[reveal-answer q=\"299986\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"299986\"][latex]\\Large\\frac{239}{1000}[\/latex][\/hidden-answer]<\/li>\r\n \t
      6. [latex]0.373[\/latex]<\/li>\r\n \t
      7. [latex]0.13[\/latex]\r\n[reveal-answer q=\"603357\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"603357\"][latex]\\Large\\frac{13}{100}[\/latex][\/hidden-answer]<\/li>\r\n \t
      8. [latex]0.19[\/latex]<\/li>\r\n \t
      9. [latex]0.011[\/latex]\r\n[reveal-answer q=\"522496\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"522496\"][latex]\\Large\\frac{11}{1000}[\/latex][\/hidden-answer]<\/li>\r\n \t
      10. [latex]0.049[\/latex]<\/li>\r\n \t
      11. [latex]-0.00007[\/latex]\r\n[reveal-answer q=\"457483\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"457483\"][latex]-\\Large\\frac{7}{100000}[\/latex][\/hidden-answer]<\/li>\r\n \t
      12. [latex]-0.00003[\/latex]<\/li>\r\n \t
      13. [latex]6.4[\/latex]\r\n[reveal-answer q=\"819152\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"819152\"][latex]6\\Large\\frac{2}{5}[\/latex][\/hidden-answer]<\/li>\r\n \t
      14. [latex]5.2[\/latex]<\/li>\r\n \t
      15. [latex]7.05[\/latex]\r\n[reveal-answer q=\"192449\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"192449\"][latex]7\\Large\\frac{1}{20}[\/latex][\/hidden-answer]<\/li>\r\n \t
      16. [latex]9.04[\/latex]<\/li>\r\n \t
      17. [latex]4.006[\/latex]\r\n[reveal-answer q=\"816301\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"816301\"][latex]4\\Large\\frac{3}{500}[\/latex][\/hidden-answer]<\/li>\r\n \t
      18. [latex]2.008[\/latex]<\/li>\r\n \t
      19. [latex]10.25[\/latex]\r\n[reveal-answer q=\"276220\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"276220\"][latex]10\\Large\\frac{1}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
      20. [latex]12.75[\/latex]<\/li>\r\n \t
      21. [latex]1.324[\/latex]\r\n[reveal-answer q=\"588624\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"588624\"][latex]1\\Large\\frac{81}{250}[\/latex][\/hidden-answer]<\/li>\r\n \t
      22. [latex]2.482[\/latex]<\/li>\r\n \t
      23. [latex]14.125[\/latex]\r\n[reveal-answer q=\"624852\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"624852\"][latex]14\\Large\\frac{1}{8}[\/latex][\/hidden-answer]<\/li>\r\n \t
      24. [latex]20.375[\/latex]<\/li>\r\n<\/ol>\r\n

        Locate Decimals on the Number Line<\/h3>\r\nIn the following exercises, locate each number on a number line.\r\n
          \r\n \t
        1. [latex]0.8[\/latex]\r\n[reveal-answer q=\"13983\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"13983\"]\"There [\/hidden-answer]<\/li>\r\n \t
        2. [latex]0.3[\/latex]<\/li>\r\n \t
        3. [latex]-0.2[\/latex]\r\n[reveal-answer q=\"586775\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"586775\"]\"There[\/hidden-answer]<\/li>\r\n \t
        4. [latex]-0.9[\/latex]<\/li>\r\n \t
        5. [latex]3.1[\/latex]\r\n[reveal-answer q=\"524176\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"524176\"]\"This[\/hidden-answer]<\/li>\r\n \t
        6. [latex]2.7[\/latex]<\/li>\r\n \t
        7. [latex]-2.5[\/latex]\r\n[reveal-answer q=\"747411\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"747411\"]\"There [\/hidden-answer]<\/li>\r\n \t
        8. [latex]-1.6[\/latex]<\/li>\r\n<\/ol>\r\n

          Order Decimals<\/h3>\r\nIn the following exercises, order each of the following pairs of numbers, using [latex]<\\text{or}&gt[\/latex];.\r\n
            \r\n \t
          1. [latex]0.9\\text{__}0.6[\/latex]\r\n[reveal-answer q=\"654271\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"654271\"]>[\/hidden-answer]<\/li>\r\n \t
          2. [latex]0.7\\text{__}0.8[\/latex]<\/li>\r\n \t
          3. [latex]0.37\\text{__}0.63[\/latex]\r\n[reveal-answer q=\"917694\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"917694\"]<[\/hidden-answer]<\/li>\r\n \t
          4. [latex]0.86\\text{__}0.69[\/latex]<\/li>\r\n \t
          5. [latex]0.6\\text{__}0.59[\/latex]\r\n[reveal-answer q=\"458017\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"458017\"]>[\/hidden-answer]<\/li>\r\n \t
          6. [latex]0.27\\text{__}0.3[\/latex]<\/li>\r\n \t
          7. [latex]0.91\\text{__}0.901[\/latex]\r\n[reveal-answer q=\"262490\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"262490\"]>[\/hidden-answer]<\/li>\r\n \t
          8. [latex]0.415\\text{__}0.41[\/latex]<\/li>\r\n \t
          9. [latex]-0.5\\text{__} - 0.3[\/latex]\r\n[reveal-answer q=\"729421\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"729421\"]<[\/hidden-answer]<\/li>\r\n \t
          10. [latex]-0.1\\text{__} - 0.4[\/latex]<\/li>\r\n \t
          11. [latex]-0.62\\text{__} - 0.619[\/latex]\r\n[reveal-answer q=\"771972\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"771972\"]<[\/hidden-answer]<\/li>\r\n \t
          12. [latex]-7.31\\text{__} - 7.3[\/latex]<\/li>\r\n<\/ol>\r\n

            Round Decimals<\/h3>\r\nIn the following exercises, round each number to the nearest tenth.\r\n
              \r\n \t
            1. [latex]0.67[\/latex]\r\n[reveal-answer q=\"61001\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"61001\"]0.7[\/hidden-answer]<\/li>\r\n \t
            2. [latex]0.49[\/latex]<\/li>\r\n \t
            3. [latex]2.84[\/latex]\r\n[reveal-answer q=\"177776\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"177776\"]2.8[\/hidden-answer]<\/li>\r\n \t
            4. [latex]4.63[\/latex]<\/li>\r\n<\/ol>\r\nIn the following exercises, round each number to the nearest hundredth.\r\n
                \r\n \t
              1. [latex]0.845[\/latex]\r\n[reveal-answer q=\"359218\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"359218\"]0.85[\/hidden-answer]<\/li>\r\n \t
              2. [latex]0.761[\/latex]<\/li>\r\n \t
              3. [latex]5.7932[\/latex]\r\n[reveal-answer q=\"387240\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"387240\"]5.79[\/hidden-answer]<\/li>\r\n \t
              4. [latex]3.6284[\/latex]<\/li>\r\n \t
              5. [latex]0.299[\/latex]\r\n[reveal-answer q=\"616466\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"616466\"]0.30[\/hidden-answer]<\/li>\r\n \t
              6. [latex]0.697[\/latex]<\/li>\r\n \t
              7. [latex]4.098[\/latex]\r\n[reveal-answer q=\"573136\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"573136\"]4.10[\/hidden-answer]<\/li>\r\n \t
              8. [latex]7.096[\/latex]<\/li>\r\n<\/ol>\r\nIn the following exercises, round each number to the nearest \u24d0 hundredth \u24d1 tenth \u24d2 whole number.\r\n
                  \r\n \t
                1. [latex]5.781[\/latex]\r\n[reveal-answer q=\"369656\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"369656\"]\u24d0 5.78 \u24d1 5.8 \u24d2 6[\/hidden-answer]<\/li>\r\n \t
                2. [latex]1.638[\/latex]<\/li>\r\n \t
                3. [latex]63.479[\/latex]\r\n[reveal-answer q=\"479129\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"479129\"]\u24d0 63.48 \u24d1 63.5 \u24d2 63[\/hidden-answer]<\/li>\r\n \t
                4. [latex]84.281[\/latex]<\/li>\r\n<\/ol>\r\n
                  \r\n

                  Exercises<\/h3>\r\n

                  Everyday Math<\/h2>\r\n

                  Salary Increase<\/h4>\r\nDanny got a raise and now makes [latex]{$58,965.95}[\/latex] a year. Round this number to the nearest:\r\n\u24d0 dollar\r\n\u24d1 thousand dollars\r\n\u24d2 ten thousand dollars.\r\n[reveal-answer q=\"6810\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"6810\"]\u24d0 $58,966 \u24d1 $59,000 \u24d2 $60,000[\/hidden-answer]\r\n

                  New Car Purchase<\/h4>\r\nSelena\u2019s new car cost [latex]{$23,795.95}[\/latex]. Round this number to the nearest:\r\n
                    \r\n \t
                  1. \u00a0dollar<\/li>\r\n \t
                  2. thousand dollars<\/li>\r\n \t
                  3. ten thousand dollars.<\/li>\r\n<\/ol>\r\n

                    Sales Tax<\/h4>\r\nHyo Jin lives in San Diego. She bought a refrigerator for [latex]{$1624.99}[\/latex] and when the clerk calculated the sales tax it came out to exactly [latex]{$142.186625}[\/latex]. Round the sales tax to the nearest \u24d0 penny \u24d1 dollar.\r\n[reveal-answer q=\"197088\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"197088\"]\u24d0 $142.19 \u24d1 $142[\/hidden-answer]\r\n

                    Sales Tax<\/h4>\r\nJennifer bought a [latex]{$1,038.99}[\/latex] dining room set for her home in Cincinnati. She calculated the sales tax to be exactly [latex]{$67.53435}[\/latex]. Round the sales tax to the nearest \u24d0 penny \u24d1 dollar.\r\n\r\n<\/div>\r\n
                    \r\n

                    Writing Exercises<\/h3>\r\nHow does your knowledge of money help you learn about decimals\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\nExplain how you write \"three and nine hundredths\" as a decimal.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\nJim ran a [latex]100-meter[\/latex] race in [latex]\\text{12.32 seconds}[\/latex]. Tim ran the same race in [latex]\\text{12.3 seconds}[\/latex]. Who had the faster time, Jim or Tim? How do you know?\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n[reveal-answer q=\"139909\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"139909\"]Tim had the faster time. 12.3 is less than 12.32, so Tim had the faster time.[\/hidden-answer]\r\n\r\nGerry saw a sign advertising postcards marked for sale at \"10 for 0.99\u00a2\"What is wrong with the advertised price?\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n

                    Operations on Decimals<\/h2>\r\n

                    Add and Subtract Decimals<\/h3>\r\nIn the following exercises, add or subtract.\r\n
                      \r\n \t
                    1. [latex]16.92+7.56[\/latex]\r\n[reveal-answer q=\"630823\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"630823\"]24.48[\/hidden-answer]<\/li>\r\n \t
                    2. [latex]18.37+9.36[\/latex]<\/li>\r\n \t
                    3. [latex]256.37 - 85.49[\/latex]\r\n[reveal-answer q=\"704159\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"704159\"]170.88[\/hidden-answer]<\/li>\r\n \t
                    4. [latex]248.25 - 91.29[\/latex]<\/li>\r\n \t
                    5. [latex]21.76 - 30.99[\/latex]\r\n[reveal-answer q=\"156089\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"156089\"]\u22129.23[\/hidden-answer]<\/li>\r\n \t
                    6. [latex]15.35 - 20.88[\/latex]<\/li>\r\n \t
                    7. [latex]37.5+12.23[\/latex]\r\n[reveal-answer q=\"941770\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"941770\"]49.73[\/hidden-answer]<\/li>\r\n \t
                    8. [latex]38.6+13.67[\/latex]<\/li>\r\n \t
                    9. [latex]-16.53 - 24.38[\/latex]\r\n[reveal-answer q=\"555673\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"555673\"]\u221240.91[\/hidden-answer]<\/li>\r\n \t
                    10. [latex]-19.47 - 32.58[\/latex]<\/li>\r\n \t
                    11. [latex]-38.69+31.47[\/latex]\r\n[reveal-answer q=\"114832\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"114832\"]\u22127.22[\/hidden-answer]<\/li>\r\n \t
                    12. [latex]-29.83+19.76[\/latex]<\/li>\r\n \t
                    13. [latex]-4.2+\\left(-9.3\\right)[\/latex]\r\n[reveal-answer q=\"971281\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"971281\"]\u221213.5[\/hidden-answer]<\/li>\r\n \t
                    14. [latex]-8.6+\\left(-8.6\\right)[\/latex]<\/li>\r\n \t
                    15. [latex]100 - 64.2[\/latex]\r\n[reveal-answer q=\"463533\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"463533\"]35.8[\/hidden-answer]<\/li>\r\n \t
                    16. [latex]100 - 65.83[\/latex]<\/li>\r\n \t
                    17. [latex]72.5 - 100[\/latex]\r\n[reveal-answer q=\"779709\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"779709\"]\u221227.5[\/hidden-answer]<\/li>\r\n \t
                    18. [latex]86.2 - 100[\/latex]<\/li>\r\n \t
                    19. [latex]15+0.73[\/latex]\r\n[reveal-answer q=\"709036\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"709036\"]15.73[\/hidden-answer]<\/li>\r\n \t
                    20. [latex]27+0.87[\/latex]<\/li>\r\n \t
                    21. [latex]2.51+40[\/latex]\r\n[reveal-answer q=\"930219\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"930219\"]42.51[\/hidden-answer]<\/li>\r\n \t
                    22. [latex]9.38+60[\/latex]<\/li>\r\n \t
                    23. [latex]91.75-\\left(-10.462\\right)[\/latex]\r\n[reveal-answer q=\"464030\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"464030\"]102.212[\/hidden-answer]<\/li>\r\n \t
                    24. [latex]94.69-\\left(-12.678\\right)[\/latex]<\/li>\r\n \t
                    25. [latex]55.01 - 3.7[\/latex]\r\n[reveal-answer q=\"536325\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"536325\"]51.31[\/hidden-answer]<\/li>\r\n \t
                    26. [latex]59.08 - 4.6[\/latex]<\/li>\r\n \t
                    27. [latex]2.51 - 7.4[\/latex]\r\n[reveal-answer q=\"612518\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"612518\"]\u22124.89[\/hidden-answer]<\/li>\r\n \t
                    28. [latex]3.84 - 6.1[\/latex]<\/li>\r\n<\/ol>\r\n

                      Multiply Decimals<\/h3>\r\nIn the following exercises, multiply.\r\n
                        \r\n \t
                      1. [latex]\\left(0.3\\right)\\left(0.4\\right)[\/latex]\r\n[reveal-answer q=\"969144\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"969144\"]0.12[\/hidden-answer]<\/li>\r\n \t
                      2. [latex]\\left(0.6\\right)\\left(0.7\\right)[\/latex]<\/li>\r\n \t
                      3. [latex]\\left(0.24\\right)\\left(0.6\\right)[\/latex]\r\n[reveal-answer q=\"290162\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"290162\"]0.144[\/hidden-answer]<\/li>\r\n \t
                      4. [latex]\\left(0.81\\right)\\left(0.3\\right)[\/latex]<\/li>\r\n \t
                      5. [latex]\\left(5.9\\right)\\left(7.12\\right)[\/latex]\r\n[reveal-answer q=\"158586\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"158586\"]42.008[\/hidden-answer]<\/li>\r\n \t
                      6. [latex]\\left(2.3\\right)\\left(9.41\\right)[\/latex]<\/li>\r\n \t
                      7. [latex]\\left(8.52\\right)\\left(3.14\\right)[\/latex]\r\n[reveal-answer q=\"581727\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"581727\"]26.7528[\/hidden-answer]<\/li>\r\n \t
                      8. [latex]\\left(5.32\\right)\\left(4.86\\right)[\/latex]<\/li>\r\n \t
                      9. [latex]\\text{(-4.3)(2.71)}[\/latex]\r\n[reveal-answer q=\"741176\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"741176\"]\u221211.653[\/hidden-answer]<\/li>\r\n \t
                      10. [latex]\\left(-8.5\\right)\\left(1.69\\right)[\/latex]<\/li>\r\n \t
                      11. [latex]\\text{(-5.18)(-65.23)}[\/latex]\r\n[reveal-answer q=\"988216\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"988216\"]337.8914[\/hidden-answer]<\/li>\r\n \t
                      12. [latex]\\left(-9.16\\right)\\left(-68.34\\right)[\/latex]<\/li>\r\n \t
                      13. [latex]\\left(0.09\\right)\\left(24.78\\right)[\/latex]\r\n[reveal-answer q=\"8221\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"8221\"]2.2302[\/hidden-answer]<\/li>\r\n \t
                      14. [latex]\\left(0.04\\right)\\left(36.89\\right)[\/latex]<\/li>\r\n \t
                      15. [latex]\\left(0.06\\right)\\left(21.75\\right)[\/latex]\r\n[reveal-answer q=\"637452\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"637452\"]1.305[\/hidden-answer]<\/li>\r\n \t
                      16. [latex]\\left(0.08\\right)\\left(52.45\\right)[\/latex]<\/li>\r\n \t
                      17. [latex]\\left(9.24\\right)\\left(10\\right)[\/latex]\r\n[reveal-answer q=\"485395\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"485395\"]92.4[\/hidden-answer]<\/li>\r\n \t
                      18. [latex]\\left(6.531\\right)\\left(10\\right)[\/latex]<\/li>\r\n \t
                      19. [latex]\\left(55.2\\right)\\left(1,000\\right)[\/latex]\r\n[reveal-answer q=\"3291\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"3291\"]55,200[\/hidden-answer]<\/li>\r\n \t
                      20. [latex]\\left(99.4\\right)\\left(1,000\\right)[\/latex]<\/li>\r\n<\/ol>\r\n

                        Divide Decimals<\/h3>\r\nIn the following exercises, divide.\r\n
                          \r\n \t
                        1. [latex]0.15\\div 5[\/latex]\r\n[reveal-answer q=\"170858\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"170858\"]0.03[\/hidden-answer]<\/li>\r\n \t
                        2. [latex]0.27\\div 3[\/latex]<\/li>\r\n \t
                        3. [latex]4.75\\div 25[\/latex]\r\n[reveal-answer q=\"365520\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"365520\"]0.19[\/hidden-answer]<\/li>\r\n \t
                        4. [latex]12.04\\div 43[\/latex]<\/li>\r\n \t
                        5. [latex]{$8.49}\\div 12[\/latex]\r\n[reveal-answer q=\"116418\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"116418\"]$0.71[\/hidden-answer]<\/li>\r\n \t
                        6. [latex]{$16.99}\\div 9[\/latex]<\/li>\r\n \t
                        7. [latex]{$117.25}\\div 48[\/latex]\r\n[reveal-answer q=\"133344\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"133344\"]$2.44[\/hidden-answer]<\/li>\r\n \t
                        8. [latex]{$109.24}\\div 36[\/latex]<\/li>\r\n \t
                        9. [latex]0.6\\div 0.2[\/latex]\r\n[reveal-answer q=\"906286\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"906286\"]3[\/hidden-answer]<\/li>\r\n \t
                        10. [latex]0.8\\div 0.4[\/latex]<\/li>\r\n \t
                        11. [latex]1.44\\div \\left(-0.3\\right)[\/latex]\r\n[reveal-answer q=\"155063\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"155063\"]\u22124.8[\/hidden-answer]<\/li>\r\n \t
                        12. [latex]1.25\\div \\left(-0.5\\right)[\/latex]<\/li>\r\n \t
                        13. [latex]-1.75\\div \\left(-0.05\\right)[\/latex]\r\n[reveal-answer q=\"486993\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"486993\"]35[\/hidden-answer]<\/li>\r\n \t
                        14. [latex]-1.15\\div \\left(-0.05\\right)[\/latex]<\/li>\r\n \t
                        15. [latex]5.2\\div 2.5[\/latex]\r\n[reveal-answer q=\"938437\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"938437\"]2.08[\/hidden-answer]<\/li>\r\n \t
                        16. [latex]6.5\\div 3.25[\/latex]<\/li>\r\n \t
                        17. [latex]12\\div 0.08[\/latex]\r\n[reveal-answer q=\"25405\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"25405\"]150[\/hidden-answer]<\/li>\r\n \t
                        18. [latex]5\\div 0.04[\/latex]<\/li>\r\n \t
                        19. [latex]11\\div 0.55[\/latex]\r\n[reveal-answer q=\"794636\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"794636\"]20[\/hidden-answer]<\/li>\r\n \t
                        20. [latex]14\\div 0.35[\/latex]<\/li>\r\n<\/ol>\r\n

                          Mixed Practice<\/h3>\r\nIn the following exercises, simplify.\r\n
                            \r\n \t
                          1. [latex]6\\left(12.4 - 9.2\\right)[\/latex]\r\n[reveal-answer q=\"556132\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"556132\"]19.2[\/hidden-answer]<\/li>\r\n \t
                          2. [latex]3\\left(15.7 - 8.6\\right)[\/latex]<\/li>\r\n \t
                          3. [latex]24\\left(0.5\\right)+{\\left(0.3\\right)}^{2}[\/latex]\r\n[reveal-answer q=\"179497\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"179497\"]12.09[\/hidden-answer]<\/li>\r\n \t
                          4. [latex]35\\left(0.2\\right)+{\\left(0.9\\right)}^{2}[\/latex]<\/li>\r\n \t
                          5. [latex]1.15\\left(26.83+1.61\\right)[\/latex]\r\n[reveal-answer q=\"826866\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"826866\"]32.706[\/hidden-answer]<\/li>\r\n \t
                          6. [latex]1.18\\left(46.22+3.71\\right)[\/latex]<\/li>\r\n \t
                          7. [latex]{$45}+0.08\\left({$45}\\right)[\/latex]\r\n[reveal-answer q=\"347877\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"347877\"]$48.60[\/hidden-answer]<\/li>\r\n \t
                          8. [latex]{$63}+0.18\\left({$63}\\right)[\/latex]<\/li>\r\n \t
                          9. [latex]18\\div \\left(0.75+0.15\\right)[\/latex]\r\n[reveal-answer q=\"64023\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"64023\"]20[\/hidden-answer]<\/li>\r\n \t
                          10. [latex]27\\div \\left(0.55+0.35\\right)[\/latex]<\/li>\r\n \t
                          11. [latex]\\left(1.43+0.27\\right)\\div \\left(0.9 - 0.05\\right)[\/latex]\r\n[reveal-answer q=\"921069\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"921069\"]2[\/hidden-answer]<\/li>\r\n \t
                          12. [latex]\\left(1.5 - 0.06\\right)\\div \\left(0.12+0.24\\right)[\/latex]<\/li>\r\n \t
                          13. [latex]\\left[{$75.42}+0.18\\left({$75.42}\\right)\\right]\\div 5[\/latex]\r\n[reveal-answer q=\"10677\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"10677\"]$17.80[\/hidden-answer]<\/li>\r\n \t
                          14. [latex]\\left[{$56.31}+0.22\\left({$56.31}\\right)\\right]\\div 4[\/latex]<\/li>\r\n<\/ol>\r\n

                            Use Decimals in Money Applications<\/h3>\r\nIn the following exercises, use the strategy for applications to solve.\r\n

                            Spending money<\/h4>\r\nBrenda got [latex]{$40}[\/latex] from the ATM. She spent [latex]{$15.11}[\/latex] on a pair of earrings. How much money did she have left?\r\n[reveal-answer q=\"387381\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"387381\"]$24.89[\/hidden-answer]\r\n

                            Spending money<\/h4>\r\nMarissa found [latex]{$20}[\/latex] in her pocket. She spent [latex]{$4.82}[\/latex] on a smoothie. How much of the [latex]{$20}[\/latex] did she have left?\r\n

                            Shopping<\/h4>\r\nAdam bought a t-shirt for [latex]{$18.49}[\/latex] and a book for [latex]{$8.92}[\/latex] The sales tax was [latex]{$1.65}[\/latex]. How much did Adam spend?\r\n[reveal-answer q=\"59282\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"59282\"]$29.06[\/hidden-answer]\r\n

                            Restaurant<\/h4>\r\nRoberto\u2019s restaurant bill was [latex]{$20.45}[\/latex] for the entr\u00e9e and [latex]{$3.15}[\/latex] for the drink. He left a [latex]{$4.40}[\/latex] tip. How much did Roberto spend?\r\n

                            Coupon<\/h4>\r\nEmily bought a box of cereal that cost [latex]{$4.29}[\/latex]. She had a coupon for [latex]{$0.55}[\/latex] off, and the store doubled the coupon. How much did she pay for the box of cereal?\r\n[reveal-answer q=\"148600\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"148600\"]$3.19[\/hidden-answer]\r\n

                            Coupon<\/h4>\r\nDiana bought a can of coffee that cost [latex]{$7.99}[\/latex]. She had a coupon for [latex]{$0.75}[\/latex] off, and the store doubled the coupon. How much did she pay for the can of coffee?\r\n

                            Diet<\/h4>\r\nLeo took part in a diet program. He weighed [latex]190[\/latex] pounds at the start of the program. During the first week, he lost [latex]4.3[\/latex] pounds. During the second week, he had lost [latex]2.8[\/latex] pounds. The third week, he gained [latex]0.7[\/latex] pounds. The fourth week, he lost [latex]1.9[\/latex] pounds. What did Leo weigh at the end of the fourth week?\r\n[reveal-answer q=\"502906\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"502906\"]181.7 pounds[\/hidden-answer]\r\n

                            Snowpack<\/h4>\r\nOn April [latex]1[\/latex], the snowpack at the ski resort was [latex]4[\/latex] meters deep, but the next few days were very warm. By April [latex]5[\/latex], the snow depth was [latex]1.6[\/latex] meters less. On April [latex]8[\/latex], it snowed and added [latex]2.1[\/latex] meters of snow. What was the total depth of the snow?\r\n

                            Coffee<\/h4>\r\nNoriko bought [latex]4[\/latex] coffees for herself and her co-workers. Each coffee was [latex]{$3.75}[\/latex]. How much did she pay for all the coffees?\r\n[reveal-answer q=\"270125\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"270125\"]$15.00[\/hidden-answer]\r\n

                            Subway Fare<\/h4>\r\nArianna spends [latex]{$4.50}[\/latex] per day on subway fare. Last week she rode the subway [latex]6[\/latex] days. How much did she spend for the subway fares?\r\n

                            Income<\/h4>\r\nMayra earns [latex]{$9.25}[\/latex] per hour. Last week she worked [latex]32[\/latex] hours. How much did she earn?\r\n[reveal-answer q=\"868121\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"868121\"]$296.00[\/hidden-answer]\r\n

                            Income<\/h4>\r\nPeter earns [latex]{$8.75}[\/latex] per hour. Last week he worked [latex]19[\/latex] hours. How much did he earn?\r\n

                            Hourly Wage<\/h4>\r\nAlan got his first paycheck from his new job. He worked [latex]30[\/latex] hours and earned [latex]{$382.50}[\/latex]. How much does he earn per hour?\r\n[reveal-answer q=\"152289\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"152289\"]$12.75[\/hidden-answer]\r\n

                            Hourly Wage<\/h4>\r\nMaria got her first paycheck from her new job. She worked [latex]25[\/latex] hours and earned [latex]{$362.50}[\/latex]. How much does she earn per hour?\r\n

                            Restaurant<\/h4>\r\nJeannette and her friends love to order mud pie at their favorite restaurant. They always share just one piece of pie among themselves. With tax and tip, the total cost is [latex]\\$6.00[\/latex]. How much does each girl pay if the total number sharing the mud pie is\r\n
                              \r\n \t
                            1. [latex]2?[\/latex]\r\n[reveal-answer q=\"267851\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"267851\"]$3[\/hidden-answer]<\/li>\r\n \t
                            2. [latex]3?[\/latex]\r\n[reveal-answer q=\"704408\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"704408\"]$2[\/hidden-answer]<\/li>\r\n \t
                            3. [latex]4?[\/latex]\r\n[reveal-answer q=\"398295\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"398295\"] $1.50[\/hidden-answer]<\/li>\r\n \t
                            4. [latex]5?[\/latex]\r\n[reveal-answer q=\"798489\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"798489\"]$1.20[\/hidden-answer]<\/li>\r\n \t
                            5. [latex]6?[\/latex]\r\n[reveal-answer q=\"462061\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"462061\"] $1[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                              Pizza<\/h4>\r\nAlex and his friends go out for pizza and video games once a week. They share the cost of a [latex]\\$15.60[\/latex] pizza equally. How much does each person pay if the total number sharing the pizza is\r\n
                                \r\n \t
                              1. \u00a0[latex]2?[\/latex]<\/li>\r\n \t
                              2. [latex]3?[\/latex]<\/li>\r\n \t
                              3. [latex]4?[\/latex]<\/li>\r\n \t
                              4. [latex]5?[\/latex]<\/li>\r\n \t
                              5. \u00a0[latex]6?[\/latex]<\/li>\r\n<\/ol>\r\n

                                Fast Food<\/h3>\r\nAt their favorite fast food restaurant, the Carlson family orders [latex]4[\/latex] burgers that cost [latex]{$3.29}[\/latex] each and [latex]2[\/latex] orders of fries at [latex]{$2.74}[\/latex] each. What is the total cost of the order?\r\n[reveal-answer q=\"581808\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"581808\"]$18.64[\/hidden-answer]\r\n

                                Home Goods<\/h4>\r\nChelsea needs towels to take with her to college. She buys [latex]2[\/latex] bath towels that cost [latex]{$9.99}[\/latex] each and [latex]6[\/latex] washcloths that cost [latex]{$2.99}[\/latex] each. What is the total cost for the bath towels and washcloths?\r\n

                                Zoo<\/h4>\r\nThe Lewis and Chousmith families are planning to go to the zoo together. Adult tickets cost [latex]{$29.95}[\/latex] and children\u2019s tickets cost [latex]{$19.95}[\/latex]. What will the total cost be for [latex]4[\/latex] adults and [latex]7[\/latex] children?\r\n[reveal-answer q=\"285738\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"285738\"]$259.45[\/hidden-answer]\r\n

                                Ice Skating<\/h4>\r\nJasmine wants to have her birthday party at the local ice skating rink. It will cost [latex]{$8.25}[\/latex] per child and [latex]{$12.95}[\/latex] per adult. What will the total cost be for [latex]12[\/latex] children and [latex]3[\/latex] adults?\r\n
                                \r\n

                                Everyday Math<\/h3>\r\n

                                Paycheck<\/strong><\/h4>\r\nAnnie has two jobs. She gets paid [latex]{$14.04}[\/latex] per hour for tutoring at City College and [latex]{$8.75}[\/latex] per hour at a coffee shop. Last week she tutored for [latex]8[\/latex] hours and worked at the coffee shop for [latex]15[\/latex] hours.\r\n
                                  \r\n \t
                                1. How much did she earn?\r\n[reveal-answer q=\"315211\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"315211\"]$243.57[\/hidden-answer]<\/li>\r\n \t
                                2. If she had worked all [latex]23[\/latex] hours as a tutor instead of working both jobs, how much more would she have earned?\r\n[reveal-answer q=\"17207\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"17207\"]$79.35[\/hidden-answer]<\/li>\r\n<\/ol>\r\nPaycheck<\/strong> Jake has two jobs. He gets paid [latex]\\$7.95[\/latex] per hour at the college cafeteria and [latex]\\$20.25[\/latex] at the art gallery. Last week he worked [latex]12[\/latex] hours at the cafeteria and [latex]5[\/latex] hours at the art gallery.\r\n
                                    \r\n \t
                                  1. \u00a0How much did he earn?<\/li>\r\n \t
                                  2. If he had worked all [latex]17[\/latex] hours at the art gallery instead of working both jobs, how much more would he have earned?<\/li>\r\n<\/ol>\r\n<\/div>\r\n
                                    \r\n

                                    Writing Exercises<\/h3>\r\nIn the 2010 winter Olympics, two skiers took the silver and bronze medals in the Men's Super-G ski event. The silver medalist's time was [latex]1[\/latex] minute [latex]30.62[\/latex] seconds and bronze medalist's time was [latex]1[\/latex] minute [latex]30.65[\/latex] seconds. Whose time was faster? Find the difference in their times and then write the name of that decimal.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n[reveal-answer q=\"727404\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"727404\"]The difference: 0.03 seconds. Three hundredths of a second.[\/hidden-answer]\r\n\r\nFind the quotient of [latex]0.12\\div 0.04[\/latex] and explain in words all the steps taken.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n

                                    Exploring The Relationship Between Decimals and Fractions<\/h2>\r\n

                                    Convert Fractions to Decimals<\/h3>\r\nIn the following exercises, convert each fraction to a decimal.\r\n
                                      \r\n \t
                                    1. [latex]\\Large\\frac{2}{5}[\/latex]\r\n[reveal-answer q=\"784121\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"784121\"]0.4[\/hidden-answer]<\/li>\r\n \t
                                    2. [latex]\\Large\\frac{4}{5}[\/latex]<\/li>\r\n \t
                                    3. [latex]-\\Large\\frac{3}{8}[\/latex]\r\n[reveal-answer q=\"286211\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"286211\"]\u22120.375[\/hidden-answer]<\/li>\r\n \t
                                    4. [latex]-\\Large\\frac{5}{8}[\/latex]<\/li>\r\n \t
                                    5. [latex]\\Large\\frac{17}{20}[\/latex]\r\n[reveal-answer q=\"586095\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"586095\"]0.85[\/hidden-answer]<\/li>\r\n \t
                                    6. [latex]\\Large\\frac{13}{20}[\/latex]<\/li>\r\n \t
                                    7. [latex]\\Large\\frac{11}{4}[\/latex]\r\n[reveal-answer q=\"906067\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"906067\"]2.75[\/hidden-answer]<\/li>\r\n \t
                                    8. [latex]\\Large\\frac{17}{4}[\/latex]<\/li>\r\n \t
                                    9. [latex]-\\Large\\frac{310}{25}[\/latex]\r\n[reveal-answer q=\"888068\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"888068\"]\u221212.4[\/hidden-answer]<\/li>\r\n \t
                                    10. [latex]-\\Large\\frac{284}{25}[\/latex]<\/li>\r\n \t
                                    11. [latex]\\Large\\frac{5}{9}[\/latex]\r\n[reveal-answer q=\"362837\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"362837\"][latex]0.\\stackrel{-}{5}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                    12. [latex]\\Large\\frac{2}{9}[\/latex]<\/li>\r\n \t
                                    13. [latex]\\Large\\frac{15}{11}[\/latex]\r\n[reveal-answer q=\"355980\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"355980\"][latex]1.\\stackrel{\\text{-}}{36}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                    14. [latex]\\Large\\frac{18}{11}[\/latex]<\/li>\r\n \t
                                    15. [latex]\\Large\\frac{15}{111}[\/latex]\r\n[reveal-answer q=\"871048\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"871048\"][latex]0.\\stackrel{\\text{-}}{135}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                    16. [latex]\\Large\\frac{25}{111}[\/latex]<\/li>\r\n<\/ol>\r\n

                                      Convert Fractions to Decimals and Simplify<\/h3>\r\nIn the following exercises, simplify the expression.\r\n
                                        \r\n \t
                                      1. [latex]\\Large\\frac{1}{2}\\normalsize+6.5[\/latex]\r\n[reveal-answer q=\"390720\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"390720\"]7[\/hidden-answer]<\/li>\r\n \t
                                      2. [latex]\\Large\\frac{1}{4}\\normalsize+10.75[\/latex]<\/li>\r\n \t
                                      3. [latex]2.4+\\Large\\frac{5}{8}[\/latex]\r\n[reveal-answer q=\"464827\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"464827\"]3.025[\/hidden-answer]<\/li>\r\n \t
                                      4. [latex]3.9+\\Large\\frac{9}{20}[\/latex]<\/li>\r\n \t
                                      5. [latex]9.73+\\Large\\frac{17}{20}[\/latex]\r\n[reveal-answer q=\"529819\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"529819\"]10.58[\/hidden-answer]<\/li>\r\n \t
                                      6. [latex]6.29+\\Large\\frac{21}{40}[\/latex]<\/li>\r\n<\/ol>\r\n

                                        Order Decimals and Fractions<\/h3>\r\nIn the following exercises, order each pair of numbers, using [latex]&lt[\/latex]; or [latex]\\text{>.}[\/latex]\r\n
                                          \r\n \t
                                        1. [latex]\\Large\\frac{1}{8}\\normalsize\\text{___}0.8[\/latex]\r\n[reveal-answer q=\"86876\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"86876\"]<[\/hidden-answer]<\/li>\r\n \t
                                        2. [latex]\\Large\\frac{1}{4}\\normalsize\\text{___}0.4[\/latex]<\/li>\r\n \t
                                        3. [latex]\\Large\\frac{2}{5}\\normalsize\\text{___}0.25[\/latex]\r\n[reveal-answer q=\"997663\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"997663\"]>[\/hidden-answer]<\/li>\r\n \t
                                        4. [latex]\\Large\\frac{3}{5}\\normalsize\\text{___}0.35[\/latex]<\/li>\r\n \t
                                        5. [latex]\\text {0.725___}\\Large\\frac{3}{4}[\/latex]\r\n[reveal-answer q=\"763024\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"763024\"]<[\/hidden-answer]<\/li>\r\n \t
                                        6. [latex]\\text {0.92___}\\Large\\frac{7}{8}[\/latex]<\/li>\r\n \t
                                        7. [latex]\\text {0.66___}\\Large\\frac{2}{3}[\/latex]\r\n[reveal-answer q=\"638836\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"638836\"]<[\/hidden-answer]<\/li>\r\n \t
                                        8. [latex]\\text {0.83___}\\Large\\frac{5}{6}[\/latex]<\/li>\r\n \t
                                        9. [latex]\\text {-0.75___}-\\Large\\frac{4}{5}[\/latex]\r\n[reveal-answer q=\"550124\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"550124\"]>[\/hidden-answer]<\/li>\r\n \t
                                        10. [latex]\\text {-0.44___}-\\Large\\frac{9}{20}[\/latex]<\/li>\r\n \t
                                        11. [latex]-\\Large\\frac{3}{4}\\normalsize\\text{___} - 0.925[\/latex]\r\n[reveal-answer q=\"102965\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"102965\"]>[\/hidden-answer]<\/li>\r\n \t
                                        12. [latex]-\\Large\\frac{2}{3}\\normalsize\\text{___} - 0.632[\/latex]<\/li>\r\n<\/ol>\r\n

                                          Order Decimals and Fractions<\/h3>\r\nIn the following exercises, write each set of numbers in order from least to greatest.\r\n
                                            \r\n \t
                                          1. [latex]\\Large\\frac{3}{5}\\normalsize ,\\Large\\frac{9}{16}\\normalsize,0.55[\/latex]\r\n[reveal-answer q=\"270722\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"270722\"][latex]0.55,\\Large\\frac{9}{16}\\normalsize ,\\Large\\frac{3}{5}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          2. [latex]\\Large\\frac{3}{8}\\normalsize ,\\Large\\frac{7}{20}\\normalsize ,0.36[\/latex]<\/li>\r\n \t
                                          3. [latex]0.702,\\Large\\frac{13}{20}\\normalsize ,\\Large\\frac{5}{8}[\/latex]\r\n[reveal-answer q=\"574289\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"574289\"][latex]\\Large\\frac{5}{8}\\normalsize ,\\Large\\frac{13}{20}\\normalsize ,0.702[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          4. [latex]0.15,\\Large\\frac{3}{16}\\normalsize ,\\Large\\frac{1}{5}[\/latex]<\/li>\r\n \t
                                          5. [latex]-0.3,-\\Large\\frac{1}{3}\\normalsize ,-\\Large\\frac{7}{20}[\/latex]\r\n[reveal-answer q=\"547172\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"547172\"][latex]-\\Large\\frac{7}{20}\\normalsize ,-\\Large\\frac{1}{3}\\normalsize,-0.3[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          6. [latex]-0.2,-\\Large\\frac{3}{20}\\normalsize ,-\\Large\\frac{1}{6}[\/latex]<\/li>\r\n \t
                                          7. [latex]-\\Large\\frac{3}{4}\\normalsize ,-\\Large\\frac{7}{9}\\normalsize,-0.7[\/latex]\r\n[reveal-answer q=\"110471\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"110471\"][latex]-\\Large\\frac{7}{9}\\normalsize ,-\\Large\\frac{3}{4}\\normalsize ,-0.7[\/latex][\/hidden-answer]<\/li>\r\n \t
                                          8. [latex]-\\Large\\frac{8}{9}\\normalsize ,-\\Large\\frac{4}{5}\\normalsize,-0.9[\/latex]<\/li>\r\n<\/ol>\r\n

                                            Simplify Expressions Using the Order of Operations<\/h3>\r\nIn the following exercises, simplify.\r\n
                                              \r\n \t
                                            1. [latex]10\\left(25.1 - 43.8\\right)[\/latex]\r\n[reveal-answer q=\"12368\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"12368\"]\u2212187[\/hidden-answer]<\/li>\r\n \t
                                            2. [latex]30\\left(18.1 - 32.5\\right)[\/latex]<\/li>\r\n \t
                                            3. [latex]62\\left(9.75 - 4.99\\right)[\/latex]\r\n[reveal-answer q=\"297668\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"297668\"]295.12[\/hidden-answer]<\/li>\r\n \t
                                            4. [latex]42\\left(8.45 - 5.97\\right)[\/latex]<\/li>\r\n \t
                                            5. [latex]\\Large\\frac{3}{4}\\normalsize\\left(12.4 - 4.2\\right)[\/latex]\r\n[reveal-answer q=\"611677\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"611677\"]6.15[\/hidden-answer]<\/li>\r\n \t
                                            6. [latex]\\Large\\frac{4}{5}\\normalsize\\left(8.6+3.9\\right)[\/latex]<\/li>\r\n \t
                                            7. [latex]\\Large\\frac{5}{12}\\normalsize\\left(30.58+17.9\\right)[\/latex]\r\n[reveal-answer q=\"168172\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"168172\"]20.2[\/hidden-answer]<\/li>\r\n \t
                                            8. [latex]\\Large\\frac{9}{16}\\normalsize\\left(21.96 - 9.8\\right)[\/latex]<\/li>\r\n \t
                                            9. [latex]10\\div 0.1+\\left(1.8\\right)4-{\\left(0.3\\right)}^{2}[\/latex]\r\n[reveal-answer q=\"71082\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"71082\"]107.11[\/hidden-answer]<\/li>\r\n \t
                                            10. [latex]5\\div 0.5+\\left(3.9\\right)6-{\\left(0.7\\right)}^{2}[\/latex]<\/li>\r\n \t
                                            11. [latex]\\left(37.1+52.7\\right)\\div \\left(12.5\\div 62.5\\right)[\/latex]\r\n[reveal-answer q=\"131837\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"131837\"]449[\/hidden-answer]<\/li>\r\n \t
                                            12. [latex]\\left(11.4+16.2\\right)\\div \\left(18\\div 60\\right)[\/latex]<\/li>\r\n \t
                                            13. [latex]{\\Large\\left(\\frac{1}{5}\\right)}^{2}\\normalsize+\\left(1.4\\right)\\left(6.5\\right)[\/latex]\r\n[reveal-answer q=\"230565\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"230565\"]9.14[\/hidden-answer]<\/li>\r\n \t
                                            14. [latex]{\\Large\\left(\\frac{1}{2}\\right)}^{2}\\normalsize+\\left(2.1\\right)\\left(8.3\\right)[\/latex]<\/li>\r\n \t
                                            15. [latex]-\\Large\\frac{9}{10}\\normalsize\\cdot\\Large\\frac{8}{15}\\normalsize+0.25[\/latex]\r\n[reveal-answer q=\"749424\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"749424\"]\u22120.23[\/hidden-answer]<\/li>\r\n \t
                                            16. [latex]-\\Large\\frac{3}{8}\\normalsize\\cdot\\Large\\frac{14}{15}\\normalsize+0.72[\/latex]<\/li>\r\n<\/ol>\r\n

                                              Mixed Practice<\/h3>\r\nIn the following exercises, simplify. Give the answer as a decimal.\r\n
                                                \r\n \t
                                              1. [latex]3\\Large\\frac{1}{4}\\normalsize -6.5[\/latex]\r\n[reveal-answer q=\"326225\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"326225\"]\u22123.25[\/hidden-answer]<\/li>\r\n \t
                                              2. [latex]5\\Large\\frac{2}{5}\\normalsize -8.75[\/latex]<\/li>\r\n \t
                                              3. [latex]10.86\\div\\Large\\frac{2}{3}[\/latex]\r\n[reveal-answer q=\"585098\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"585098\"]16.29[\/hidden-answer]<\/li>\r\n \t
                                              4. [latex]5.79\\div\\Large\\frac{3}{4}[\/latex]<\/li>\r\n \t
                                              5. [latex]\\Large\\frac{7}{8}\\normalsize\\left(103.48\\right)+1\\Large\\frac{1}{2}\\normalsize\\left(361\\right)[\/latex]\r\n[reveal-answer q=\"606793\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"606793\"]632.045[\/hidden-answer]<\/li>\r\n \t
                                              6. [latex]\\Large\\frac{5}{16}\\normalsize\\left(117.6\\right)+2\\Large\\frac{1}{3}\\normalsize\\left(699\\right)[\/latex]<\/li>\r\n \t
                                              7. [latex]3.6\\left(\\Large\\frac{9}{8}\\normalsize-2.72\\right)[\/latex]\r\n[reveal-answer q=\"923812\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"923812\"]\u22125.742[\/hidden-answer]<\/li>\r\n \t
                                              8. [latex]5.1\\left(\\Large\\frac{12}{5}\\normalsize-3.91\\right)[\/latex]<\/li>\r\n<\/ol>\r\n

                                                Find the Circumference and Area of Circles<\/h3>\r\nIn the following exercises, approximate the a) circumference and b) area of each circle. If measurements are given in fractions, leave answers in fraction form.\r\n
                                                  \r\n \t
                                                1. [latex]\\text{radius}=\\text{5 in.}[\/latex]\r\n[reveal-answer q=\"364933\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"364933\"]\u24d0 31.4 in \u24d1 78.5 sq.in.[\/hidden-answer]<\/li>\r\n \t
                                                2. [latex]\\text{radius}=\\text{20 in.}[\/latex]<\/li>\r\n \t
                                                3. [latex]\\text{radius}=\\text{9 ft.}[\/latex]\r\n[reveal-answer q=\"746318\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"746318\"]\u24d0 56.52.ft. \u24d1 254.34 sq.ft.[\/hidden-answer]<\/li>\r\n \t
                                                4. [latex]\\text{radius}=\\text{4 ft.}[\/latex]<\/li>\r\n \t
                                                5. [latex]\\text{radius}=\\text{46 cm}[\/latex]\r\n[reveal-answer q=\"834581\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"834581\"]\u24d0 288.88 cm \u24d1 6644.24 sq.cm[\/hidden-answer]<\/li>\r\n \t
                                                6. [latex]\\text{radius}=\\text{38 cm}[\/latex]<\/li>\r\n \t
                                                7. [latex]\\text{radius}=\\text{18.6 m}[\/latex]\r\n[reveal-answer q=\"199827\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"199827\"]\u24d0 116.808 m \u24d1 1086.3144 sq.m[\/hidden-answer]<\/li>\r\n \t
                                                8. [latex]\\text{radius}=\\text{57.3 m}[\/latex]<\/li>\r\n \t
                                                9. [latex]\\text{radius}=\\Large\\frac{7}{10}\\normalsize\\text{mile}[\/latex]\r\n[reveal-answer q=\"386033\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"386033\"]\u24d0 [latex]\\Large\\frac{22}{5}\\normalsize\\text{mile}[\/latex] \u24d1 [latex]\\Large\\frac{77}{50}\\normalsize\\text{sq.mile}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                10. [latex]\\text{radius}=\\Large\\frac{7}{11}\\normalsize\\text{mile}[\/latex]<\/li>\r\n \t
                                                11. [latex]\\text{radius}=\\Large\\frac{3}{8}\\normalsize\\text{yard}[\/latex]\r\n[reveal-answer q=\"878613\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"878613\"]\u24d0 [latex]\\Large\\frac{33}{14}\\normalsize\\text{yard}[\/latex] \u24d1 [latex]\\Large\\frac{99}{224}\\normalsize\\text{sq.yard}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                12. [latex]\\text{radius}=\\Large\\frac{5}{12}\\normalsize\\text{yard}[\/latex]<\/li>\r\n \t
                                                13. [latex]\\text{diameter}=\\Large\\frac{5}{6}\\normalsize\\text{m}[\/latex]\r\n[reveal-answer q=\"922931\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"922931\"]\u24d0 [latex]\\Large\\frac{55}{21}\\normalsize\\text{m}[\/latex] \u24d1 [latex]\\Large\\frac{275}{504}\\normalsize\\text{sq.m}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                14. [latex]\\text{diameter}=\\Large\\frac{3}{4}\\normalsize\\text{m}[\/latex]<\/li>\r\n<\/ol>\r\n
                                                  \r\n

                                                  Everyday Math<\/h3>\r\n

                                                  Shopping Trip<\/h4>\r\nKelly wants to buy a pair of boots that are on sale for [latex]\\Large\\frac{2}{3}[\/latex] of the original price. The original price of the boots is [latex]{$84.99}[\/latex]. What is the sale price of the shoes?\r\n[reveal-answer q=\"741329\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"741329\"]$56.66[\/hidden-answer]\r\n

                                                  Creating a Mosaic<\/h4>\r\nAn architect is planning to put a circular mosaic in the entry of a new building. The mosaic will be in the shape of a circle with radius of [latex]6[\/latex] feet. How many square feet of tile will be needed for the mosaic? (Round your answer up to the next whole number.)\r\n\r\n<\/div>\r\n
                                                  \r\n

                                                  Writing Exercises<\/h3>\r\nIs it easier for you to convert a decimal to a fraction or a fraction to a decimal? Explain.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\nDescribe a situation in your life in which you might need to find the area or circumference of a circle.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n

                                                  <\/h2>\r\n

                                                  Solving Equations with Decimals<\/h2>\r\n

                                                  Calculate the Mean of a Set of Numbers<\/strong><\/h3>\r\nIn the following exercises, find the mean.\r\n
                                                    \r\n \t
                                                  1. [latex]3[\/latex] , [latex]8[\/latex] , [latex]2[\/latex] , [latex]2[\/latex] , [latex]5[\/latex]\r\n[reveal-answer q=\"175532\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"175532\"]4[\/hidden-answer]<\/li>\r\n \t
                                                  2. [latex]6[\/latex] , [latex]1[\/latex] , [latex]9[\/latex] , [latex]3[\/latex] , [latex]4[\/latex] , [latex]7[\/latex]<\/li>\r\n \t
                                                  3. [latex]65[\/latex] , [latex]13[\/latex] , [latex]48[\/latex] , [latex]32[\/latex] , [latex]19[\/latex] , [latex]33[\/latex]\r\n[reveal-answer q=\"168700\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"168700\"]35[\/hidden-answer]<\/li>\r\n \t
                                                  4. [latex]34[\/latex] , [latex]45[\/latex] , [latex]29[\/latex] , [latex]61[\/latex] , and [latex]41[\/latex]<\/li>\r\n \t
                                                  5. [latex]202[\/latex] , [latex]241[\/latex] , [latex]265[\/latex] , [latex]274[\/latex]\r\n[reveal-answer q=\"761370\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"761370\"]245.5[\/hidden-answer]<\/li>\r\n \t
                                                  6. [latex]525[\/latex] , [latex]532[\/latex] , [latex]558[\/latex] , [latex]574[\/latex]<\/li>\r\n \t
                                                  7. [latex]12.45[\/latex] , [latex]12.99[\/latex] , [latex]10.50[\/latex] , [latex]11.25[\/latex] , [latex]9.99[\/latex] , [latex]12.72[\/latex]\r\n[reveal-answer q=\"98342\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"98342\"]11.65[\/hidden-answer]<\/li>\r\n \t
                                                  8. [latex]28.8[\/latex] , [latex]32.9[\/latex] , [latex]32.5[\/latex] , [latex]27.9[\/latex] , [latex]30.4[\/latex] , [latex]32.5[\/latex] , [latex]31.6[\/latex] , [latex]32.7[\/latex]<\/li>\r\n<\/ol>\r\n

                                                    Calculate the Mean of a Set of Numbers in Applications<\/strong><\/h3>\r\nIn the following exercises, find the mean.\r\n
                                                      \r\n \t
                                                    1. Four girls leaving a mall were asked how much money they had just spent. The amounts were [latex]{$0}[\/latex] , [latex]{$14.95}[\/latex] , [latex]{$35.25}[\/latex] , and [latex]{$25.16}[\/latex] . Find the mean amount of money spent.\r\n[reveal-answer q=\"325048\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"325048\"]$18.84[\/hidden-answer]<\/li>\r\n \t
                                                    2. Juan bought [latex]5[\/latex] shirts to wear to his new job. The costs of the shirts were [latex]{$32.95}[\/latex] , [latex]{$38.50}[\/latex] , [latex]{$30.00}[\/latex] , [latex]{$17.45}[\/latex] , and [latex]{$24.25}[\/latex] . Find the mean cost.<\/li>\r\n \t
                                                    3. The number of minutes it took Jim to ride his bike to school for each of the past six days was [latex]21[\/latex] , [latex]18[\/latex] , [latex]16[\/latex] , [latex]19[\/latex] , [latex]24[\/latex] , and [latex]19[\/latex] . Find the mean number of minutes.\r\n[reveal-answer q=\"270800\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"270800\"]19.5 minutes[\/hidden-answer]<\/li>\r\n \t
                                                    4. Norris bought six books for his classes this semester. The costs of the books were [latex]{$74.28}[\/latex] , [latex]{$120.95}[\/latex] , [latex]{$52.40}[\/latex] , [latex]{$10.59}[\/latex] , [latex]{$35.89}[\/latex] , and [latex]{$59.24}[\/latex] . Find the mean cost.<\/li>\r\n \t
                                                    5. The top eight hitters in a softball league have batting averages of [latex].373[\/latex] , [latex].360[\/latex] , [latex].321[\/latex] , [latex].321[\/latex] , [latex].320[\/latex] , [latex].312[\/latex] , [latex].311[\/latex] , and [latex].311[\/latex] . Find the mean of the batting averages. Round your answer to the nearest thousandth.\r\n[reveal-answer q=\"699\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"699\"]0.329[\/hidden-answer]<\/li>\r\n \t
                                                    6. The monthly snowfall at a ski resort over a six-month period was [latex]60.3[\/latex], [latex]79.7[\/latex], [latex]50.9[\/latex], [latex]28.0[\/latex], [latex]47.4[\/latex], and [latex]46.1[\/latex] inches. Find the mean snowfall.<\/li>\r\n<\/ol>\r\n

                                                      Find the Median of a Set of Numbers<\/strong><\/h3>\r\nIn the following exercises, find the median.\r\n
                                                        \r\n \t
                                                      1. [latex]24[\/latex] , [latex]19[\/latex] , [latex]18[\/latex] , [latex]29[\/latex] , [latex]21[\/latex]\r\n[reveal-answer q=\"355851\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"355851\"]21[\/hidden-answer]<\/li>\r\n \t
                                                      2. [latex]48[\/latex] , [latex]51[\/latex] , [latex]46[\/latex] , [latex]42[\/latex] , [latex]50[\/latex]<\/li>\r\n \t
                                                      3. [latex]65[\/latex] , [latex]56[\/latex] , [latex]35[\/latex] , [latex]34[\/latex] , [latex]44[\/latex] , [latex]39[\/latex] , [latex]55[\/latex] , [latex]52[\/latex] , [latex]45[\/latex]\r\n[reveal-answer q=\"395449\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"395449\"]45[\/hidden-answer]<\/li>\r\n \t
                                                      4. [latex]121[\/latex] , [latex]115[\/latex] , [latex]135[\/latex] , [latex]109[\/latex] , [latex]136[\/latex] , [latex]147[\/latex] , [latex]127[\/latex] , [latex]119[\/latex] , [latex]110[\/latex]<\/li>\r\n \t
                                                      5. [latex]4[\/latex] , [latex]8[\/latex] , [latex]1[\/latex] , [latex]5[\/latex] , [latex]14[\/latex] , [latex]3[\/latex] , [latex]1[\/latex] , [latex]12[\/latex]\r\n[reveal-answer q=\"766015\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"766015\"]4.5[\/hidden-answer]<\/li>\r\n \t
                                                      6. [latex]3[\/latex] , [latex]9[\/latex] , [latex]2[\/latex] , [latex]6[\/latex] , [latex]20[\/latex] , [latex]3[\/latex] , [latex]3[\/latex] , [latex]10[\/latex]<\/li>\r\n \t
                                                      7. [latex]99.2[\/latex] , [latex]101.9[\/latex] , [latex]98.6[\/latex] , [latex]99.5[\/latex] , [latex]100.8[\/latex] , [latex]99.8[\/latex]\r\n[reveal-answer q=\"747203\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"747203\"]99.65[\/hidden-answer]<\/li>\r\n \t
                                                      8. [latex]28.8[\/latex] , [latex]32.9[\/latex] , [latex]32.5[\/latex] , [latex]27.9[\/latex] , [latex]30.4[\/latex] , [latex]32.5[\/latex] , [latex]31.6[\/latex] , [latex]32.7[\/latex]<\/li>\r\n<\/ol>\r\n

                                                        Find the Median of a Set of Numbers in Applications<\/strong><\/h3>\r\nIn the following exercises, find the median.\r\n
                                                          \r\n \t
                                                        1. Last week Ray recorded how much he spent for lunch each workday. He spent [latex]{$6.50}[\/latex] , [latex]{$7.25}[\/latex] , [latex]{$4.90}[\/latex] , [latex]{$5.30}[\/latex] , and [latex]{$12.00}[\/latex] . Find the median.\r\n[reveal-answer q=\"967918\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"967918\"]$6.50[\/hidden-answer]<\/li>\r\n \t
                                                        2. Michaela is in charge of 6 two-year olds at a daycare center. Their ages, in months, are [latex]25[\/latex] , [latex]24[\/latex] , [latex]28[\/latex] , [latex]32[\/latex] , [latex]29[\/latex] , and [latex]31[\/latex] . Find the median age.<\/li>\r\n \t
                                                        3. Brian is teaching a swim class for [latex]6[\/latex] three-year olds. Their ages, in months, are [latex]38,41,45,36,40,\\text{and}42[\/latex]. Find the median age.\r\n[reveal-answer q=\"330193\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"330193\"]40.5 months[\/hidden-answer]<\/li>\r\n \t
                                                        4. Sal recorded the amount he spent for gas each week for the past [latex]8[\/latex] weeks. The amounts were [latex]{$38.65}[\/latex], [latex]{$32.18}[\/latex], [latex]{$40.23}[\/latex], [latex]{$51.50}[\/latex], [latex]{$43.68}[\/latex], [latex]{$30.96}[\/latex], [latex]{$41.37}[\/latex], and [latex]{$44.72}[\/latex]. Find the median amount.<\/li>\r\n<\/ol>\r\n

                                                          Identify the Mode of a Set of Numbers<\/strong><\/h3>\r\nIn the following exercises, identify the mode.\r\n
                                                            \r\n \t
                                                          1. [latex]2[\/latex] , [latex]5[\/latex] , [latex]1[\/latex] , [latex]5[\/latex] , [latex]2[\/latex] , [latex]1[\/latex] , [latex]2[\/latex] , [latex]3[\/latex] , [latex]2[\/latex] , [latex]3[\/latex] , [latex]1[\/latex]\r\n[reveal-answer q=\"217919\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"217919\"]2[\/hidden-answer]<\/li>\r\n \t
                                                          2. [latex]8[\/latex] , [latex]5[\/latex] , [latex]1[\/latex] , [latex]3[\/latex] , [latex]7[\/latex] , [latex]1[\/latex] , [latex]1[\/latex] , [latex]7[\/latex] , [latex]1[\/latex] , [latex]8[\/latex] , [latex]7[\/latex]<\/li>\r\n \t
                                                          3. [latex]18[\/latex] , [latex]22[\/latex] , [latex]17[\/latex] , [latex]20[\/latex] , [latex]19[\/latex] , [latex]20[\/latex] , [latex]22[\/latex] , [latex]19[\/latex] , [latex]29[\/latex] , [latex]18[\/latex] , [latex]23[\/latex] , [latex]25[\/latex] , [latex]22[\/latex] , [latex]24[\/latex] , [latex]23[\/latex] , [latex]22[\/latex] , [latex]18[\/latex] , [latex]20[\/latex] , [latex]22[\/latex] , [latex]20[\/latex]\r\n[reveal-answer q=\"413335\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"413335\"]22[\/hidden-answer]<\/li>\r\n \t
                                                          4. [latex]42[\/latex] , [latex]28[\/latex] , [latex]32[\/latex] , [latex]35[\/latex] , [latex]24[\/latex] , [latex]32[\/latex] , [latex]48[\/latex] , [latex]32[\/latex] , [latex]32[\/latex] , [latex]24[\/latex] , [latex]35[\/latex] , [latex]28[\/latex] , [latex]30[\/latex] , [latex]35[\/latex] , [latex]45[\/latex] , [latex]32[\/latex] , [latex]28[\/latex] , [latex]32[\/latex] , [latex]42[\/latex] , [latex]42[\/latex] , [latex]30[\/latex]<\/li>\r\n \t
                                                          5. The number of children per house on one block: [latex]1[\/latex] , [latex]4[\/latex] , [latex]2[\/latex] , [latex]3[\/latex] , [latex]3[\/latex] , [latex]2[\/latex] , [latex]6[\/latex] , [latex]2[\/latex] , [latex]4[\/latex] , [latex]2[\/latex] , [latex]0[\/latex] , [latex]3[\/latex] , [latex]0[\/latex].\r\n[reveal-answer q=\"782520\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"782520\"]2 children[\/hidden-answer]<\/li>\r\n \t
                                                          6. The number of movies watched each month last year: [latex]2[\/latex] , [latex]0[\/latex] , [latex]3[\/latex] , [latex]0[\/latex] , [latex]0[\/latex] , [latex]8[\/latex] , [latex]6[\/latex] , [latex]5[\/latex] , [latex]0[\/latex] , [latex]1[\/latex] , [latex]2[\/latex] , [latex]3[\/latex].<\/li>\r\n \t
                                                          7. The number of units being taken by students in one class: [latex]12[\/latex] , [latex]5[\/latex] , [latex]11[\/latex] , [latex]10[\/latex] , [latex]10[\/latex] , [latex]11[\/latex] , [latex]5[\/latex] , [latex]11[\/latex] , [latex]11[\/latex] , [latex]11[\/latex] , [latex]10[\/latex] , [latex]12[\/latex] .\r\n[reveal-answer q=\"909589\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"909589\"]11 units[\/hidden-answer]<\/li>\r\n \t
                                                          8. The number of hours of sleep per night for the past two weeks: [latex]8[\/latex] , [latex]5[\/latex] , [latex]7[\/latex] , [latex]8[\/latex] , [latex]8[\/latex] ,<\/li>\r\n \t
                                                          9. [latex]6[\/latex] , [latex]6[\/latex] , [latex]6[\/latex] , [latex]6[\/latex] , [latex]9[\/latex] , [latex]7[\/latex] , [latex]8[\/latex] , [latex]8[\/latex] , [latex]8[\/latex] .<\/li>\r\n<\/ol>\r\n

                                                            Use the Basic Definition of Probability<\/strong><\/h3>\r\nIn the following exercises, express the probability as both a fraction and a decimal. (Round to three decimal places, if necessary.)\r\n
                                                              \r\n \t
                                                            1. Josue is in a book club with [latex]20[\/latex] members. One member is chosen at random each month to select the next month\u2019s book. Find the probability that Josue will be chosen next month.\r\n[reveal-answer q=\"808128\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"808128\"][latex]\\Large\\frac{1}{20}\\normalsize,0.05[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                            2. Jessica is one of eight kindergarten teachers at Mandela Elementary School. One of the kindergarten teachers will be selected at random to attend a summer workshop. Find the probability that Jessica will be selected.<\/li>\r\n \t
                                                            3. There are [latex]24[\/latex] people who work in Dane\u2019s department. Next week, one person will be selected at random to bring in doughnuts. Find the probability that Dane will be selected. Round your answer to the nearest thousandth.\r\n[reveal-answer q=\"196778\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"196778\"][latex]\\Large\\frac{1}{24}\\normalsize,0.041\\stackrel{-}{6}\\approx 0.042[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                            4. Monica has two strawberry yogurts and six banana yogurts in her refrigerator. She will choose one yogurt at random to take to work. Find the probability Monica will choose a strawberry yogurt.<\/li>\r\n \t
                                                            5. Michel has four rock CDs and six country CDs in his car. He will pick one CD to play on his way to work. Find the probability Michel will pick a rock CD.\r\n[reveal-answer q=\"48878\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"48878\"][latex]\\Large\\frac{4}{10}\\normalsize,0.4[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                            6. Noah is planning his summer camping trip. He can\u2019t decide among six campgrounds at the beach and twelve campgrounds in the mountains, so he will choose one campground at random. Find the probability that Noah will choose a campground at the beach.<\/li>\r\n \t
                                                            7. Donovan is considering transferring to a [latex]\\text{4-year college}[\/latex]. He is considering [latex]10[\/latex] out-of state colleges and [latex]4[\/latex] colleges in his state. He will choose one college at random to visit during spring break. Find the probability that Donovan will choose an out-of-state college.\r\n[reveal-answer q=\"883501\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"883501\"][latex]\\Large\\frac{10}{14}\\normalsize,0.\\stackrel{\\text{---}}{714285}\\approx 0.714[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                            8. There are [latex]258,890,850[\/latex] number combinations possible in the Mega Millions lottery. One winning jackpot ticket will be chosen at random. Brent chooses his favorite number combination and buys one ticket. Find the probability Brent will win the jackpot. Round the decimal to the first digit that is not zero, then write the name of the decimal.<\/li>\r\n<\/ol>\r\n
                                                              \r\n

                                                              Everyday Math<\/h3>\r\n
                                                                \r\n \t
                                                              1. Joaquin gets paid every Friday. His paychecks for the past [latex]8[\/latex] Fridays were [latex]{$315}[\/latex], [latex]{$236.25}[\/latex], [latex]{$236.25}[\/latex], [latex]{$236.25}[\/latex], [latex]{$315}[\/latex], [latex]{$315}[\/latex], [latex]{$236.25}[\/latex], [latex]{$393.75}[\/latex]. Find the \u24d0 mean, \u24d1 median, and \u24d2 mode.\r\n[reveal-answer q=\"655282\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"655282\"]\u24d0 $285.47 \u24d1 $275.63 \u24d2 $236.25[\/hidden-answer]<\/li>\r\n \t
                                                              2. The cash register receipts each day last week at a coffee shop were [latex]{$1,845}[\/latex], [latex]{$1,520}[\/latex], [latex]{$1,438}[\/latex], [latex]{$1,682}[\/latex], [latex]{$1,850}[\/latex], [latex]{$2,721}[\/latex], [latex]{$2,539}[\/latex]. Find the \u24d0 mean, \u24d1 median, and \u24d2 mode.<\/li>\r\n<\/ol>\r\n<\/div>\r\n
                                                                \r\n

                                                                Writing Exercises<\/h3>\r\nExplain in your own words the difference between the mean, median, and mode of a set of numbers.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\nMake an example of probability that relates to your life. Write your answer as a fraction and explain what the numerator and denominator represent.\r\n\r\n[practice-area rows=\"4\"][\/practice-area]\r\n\r\n<\/div>\r\n

                                                                <\/h2>\r\n

                                                                Write a Ratio as a Fraction<\/strong><\/h3>\r\nIn the following exercises, write each ratio as a fraction.\r\n
                                                                  \r\n \t
                                                                1. [latex]20[\/latex] to [latex]36[\/latex]\r\n[reveal-answer q=\"677177\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"677177\"][latex]\\Large\\frac{5}{9}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                2. [latex]20[\/latex] to [latex]32[\/latex]<\/li>\r\n \t
                                                                3. [latex]42[\/latex] to [latex]48[\/latex]\r\n[reveal-answer q=\"754963\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"754963\"][latex]\\Large\\frac{7}{8}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                4. [latex]45[\/latex] to [latex]54[\/latex]<\/li>\r\n \t
                                                                5. [latex]49[\/latex] to [latex]21[\/latex]\r\n[reveal-answer q=\"964831\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"964831\"][latex]\\Large\\frac{7}{3}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                6. [latex]56[\/latex] to [latex]16[\/latex]<\/li>\r\n \t
                                                                7. [latex]84[\/latex] to [latex]36[\/latex]\r\n[reveal-answer q=\"187541\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"187541\"][latex]\\Large\\frac{7}{3}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                8. [latex]6.4[\/latex] to [latex]0.8[\/latex]<\/li>\r\n \t
                                                                9. [latex]0.56[\/latex] to [latex]2.8[\/latex]\r\n[reveal-answer q=\"89825\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"89825\"][latex]\\Large\\frac{1}{5}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                10. [latex]1.26[\/latex] to [latex]4.2[\/latex]<\/li>\r\n \t
                                                                11. [latex]1\\Large\\frac{2}{3}[\/latex] to [latex]2\\Large\\frac{5}{6}[\/latex]\r\n[reveal-answer q=\"962624\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"962624\"][latex]\\Large\\frac{10}{17}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                12. [latex]1\\Large\\frac{3}{4}[\/latex] to [latex]2\\Large\\frac{5}{8}[\/latex]<\/li>\r\n \t
                                                                13. [latex]4\\Large\\frac{1}{6}[\/latex] to [latex]3\\Large\\frac{1}{3}[\/latex]\r\n[reveal-answer q=\"14923\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"14923\"][latex]\\Large\\frac{5}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                14. [latex]5\\Large\\frac{3}{5}[\/latex] to [latex]3\\Large\\frac{3}{5}[\/latex]<\/li>\r\n \t
                                                                15. [latex]{$18}[\/latex] to [latex]{$63}[\/latex]\r\n[reveal-answer q=\"645995\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"645995\"][latex]\\Large\\frac{2}{7}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                16. [latex]{$16}[\/latex] to [latex]{$72}[\/latex]<\/li>\r\n \t
                                                                17. [latex]{$1.21}[\/latex] to [latex]{$0.44}[\/latex]\r\n[reveal-answer q=\"569889\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"569889\"][latex]\\Large\\frac{11}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                18. [latex]{$1.38}[\/latex] to [latex]{$0.69}[\/latex]<\/li>\r\n \t
                                                                19. [latex]28[\/latex] ounces to [latex]84[\/latex] ounces\r\n[reveal-answer q=\"248309\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"248309\"][latex]\\Large\\frac{1}{3}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                20. [latex]32[\/latex] ounces to [latex]128[\/latex] ounces<\/li>\r\n \t
                                                                21. [latex]12[\/latex] feet to [latex]46[\/latex] feet\r\n[reveal-answer q=\"822292\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"822292\"][latex]\\Large\\frac{6}{23}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                22. [latex]15[\/latex] feet to [latex]57[\/latex] feet<\/li>\r\n \t
                                                                23. [latex]246[\/latex] milligrams to [latex]45[\/latex] milligrams\r\n[reveal-answer q=\"111167\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"111167\"][latex]\\Large\\frac{82}{15}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                24. [latex]304[\/latex] milligrams to [latex]48[\/latex] milligrams<\/li>\r\n \t
                                                                25. total cholesterol of [latex]175[\/latex] to HDL cholesterol of [latex]45[\/latex]\r\n[reveal-answer q=\"604564\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"604564\"][latex]\\Large\\frac{35}{9}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                26. total cholesterol of [latex]215[\/latex] to HDL cholesterol of [latex]55[\/latex]<\/li>\r\n \t
                                                                27. [latex]27[\/latex] inches to [latex]1[\/latex] foot\r\n[reveal-answer q=\"628342\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"628342\"][latex]\\Large\\frac{9}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                28. [latex]28[\/latex] inches to [latex]1[\/latex] foot<\/li>\r\n<\/ol>\r\n

                                                                  Write a Rate as a Fraction<\/strong><\/h3>\r\nIn the following exercises, write each rate as a fraction.\r\n
                                                                    \r\n \t
                                                                  1. [latex]140[\/latex] calories per [latex]12[\/latex] ounces\r\n[reveal-answer q=\"639713\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"639713\"][latex]\\Large\\frac{\\text{35 calories}}{\\text{3 ounces}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                  2. [latex]180[\/latex] calories per [latex]16[\/latex] ounces<\/li>\r\n \t
                                                                  3. [latex]8.2[\/latex] pounds per [latex]3[\/latex] square inches\r\n[reveal-answer q=\"980124\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"980124\"][latex]\\Large\\frac{\\text{41 lbs}}{\\text{15 sq. in}.}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                  4. [latex]9.5[\/latex] pounds per [latex]4[\/latex] square inches<\/li>\r\n \t
                                                                  5. [latex]488[\/latex] miles in [latex]7[\/latex] hours\r\n[reveal-answer q=\"556923\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"556923\"][latex]\\Large\\frac{\\text{488 miles}}{\\text{7 hours}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                  6. [latex]527[\/latex] miles in [latex]9[\/latex] hours<\/li>\r\n \t
                                                                  7. [latex]{$595}[\/latex] for [latex]40[\/latex] hours\r\n[reveal-answer q=\"668188\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"668188\"][latex]\\Large\\frac{{$119}}{{8 hours}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                  8. [latex]{$798}[\/latex] for [latex]40[\/latex] hours<\/li>\r\n<\/ol>\r\n

                                                                    Find Unit Rates<\/strong><\/h3>\r\n

                                                                    Exercise 1<\/h4>\r\nIn the following exercises, find the unit rate. Round to two decimal places, if necessary.\r\n
                                                                      \r\n \t
                                                                    1. [latex]140[\/latex] calories per [latex]12[\/latex] ounces\r\n[reveal-answer q=\"730040\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"730040\"]11.67 calories\/ounce[\/hidden-answer]<\/li>\r\n \t
                                                                    2. [latex]180[\/latex] calories per [latex]16[\/latex] ounces<\/li>\r\n \t
                                                                    3. [latex]8.2[\/latex] pounds per [latex]3[\/latex] square inches\r\n[reveal-answer q=\"512121\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"512121\"]2.73 lbs.\/sq. in.[\/hidden-answer]<\/li>\r\n \t
                                                                    4. [latex]9.5[\/latex] pounds per [latex]4[\/latex] square inches<\/li>\r\n \t
                                                                    5. [latex]488[\/latex] miles in [latex]7[\/latex] hours\r\n[reveal-answer q=\"603567\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"603567\"]69.71 mph[\/hidden-answer]<\/li>\r\n \t
                                                                    6. [latex]527[\/latex] miles in [latex]9[\/latex] hours<\/li>\r\n \t
                                                                    7. [latex]{$595}[\/latex] for [latex]40[\/latex] hours\r\n[reveal-answer q=\"971548\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"971548\"]$14.88\/hour[\/hidden-answer]<\/li>\r\n \t
                                                                    8. [latex]{$798}[\/latex] for [latex]40[\/latex] hours<\/li>\r\n \t
                                                                    9. [latex]576[\/latex] miles on [latex]18[\/latex] gallons of gas\r\n[reveal-answer q=\"54375\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"54375\"]32 mpg[\/hidden-answer]<\/li>\r\n \t
                                                                    10. [latex]435[\/latex] miles on [latex]15[\/latex] gallons of gas<\/li>\r\n \t
                                                                    11. [latex]43[\/latex] pounds in [latex]16[\/latex] weeks\r\n[reveal-answer q=\"924645\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"924645\"]2.69 lbs.\/week[\/hidden-answer]<\/li>\r\n \t
                                                                    12. [latex]57[\/latex] pounds in [latex]24[\/latex] weeks<\/li>\r\n \t
                                                                    13. [latex]46[\/latex] beats in [latex]0.5[\/latex] minute\r\n[reveal-answer q=\"57459\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"57459\"]92 beats\/minute[\/hidden-answer]<\/li>\r\n \t
                                                                    14. [latex]54[\/latex] beats in [latex]0.5[\/latex] minute<\/li>\r\n<\/ol>\r\n

                                                                      Exercise 2<\/h4>\r\n
                                                                        \r\n \t
                                                                      1. The bindery at a printing plant assembles [latex]96,000[\/latex] magazines in [latex]12[\/latex] hours. How many magazines are assembled in one hour?\r\n[reveal-answer q=\"375210\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"375210\"]8,000[\/hidden-answer]<\/li>\r\n \t
                                                                      2. The pressroom at a printing plant prints [latex]540,000[\/latex] sections in [latex]12[\/latex] hours. How many sections are printed per hour?<\/li>\r\n<\/ol>\r\n

                                                                        Find Unit Price<\/strong><\/h3>\r\n

                                                                        Exercise 1<\/h4>\r\nIn the following exercises, find the unit price. Round to the nearest cent.\r\n
                                                                          \r\n \t
                                                                        1. Soap bars at [latex]8[\/latex] for [latex]{$8.69}[\/latex]\r\n[reveal-answer q=\"718030\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"718030\"]$1.09\/bar[\/hidden-answer]<\/li>\r\n \t
                                                                        2. Soap bars at [latex]4[\/latex] for [latex]{$3.39}[\/latex]<\/li>\r\n \t
                                                                        3. Women\u2019s sports socks at [latex]6[\/latex] pairs for [latex]{$7.99}[\/latex]\r\n[reveal-answer q=\"50531\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"50531\"]$1.33\/pair[\/hidden-answer]<\/li>\r\n \t
                                                                        4. Men\u2019s dress socks at [latex]3[\/latex] pairs for [latex]{$8.49}[\/latex]<\/li>\r\n \t
                                                                        5. Snack packs of cookies at [latex]12[\/latex] for [latex]{$5.79}[\/latex]\r\n[reveal-answer q=\"161550\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"161550\"]$0.48\/pack[\/hidden-answer]<\/li>\r\n \t
                                                                        6. Granola bars at [latex]5[\/latex] for [latex]{$3.69}[\/latex]<\/li>\r\n \t
                                                                        7. CD-RW discs at [latex]25[\/latex] for [latex]{$14.99}[\/latex]\r\n[reveal-answer q=\"273025\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"273025\"]$0.60\/disc[\/hidden-answer]<\/li>\r\n \t
                                                                        8. CDs at [latex]50[\/latex] for [latex]{$4.49}[\/latex]<\/li>\r\n<\/ol>\r\n

                                                                          Exercise 2<\/h4>\r\n
                                                                            \r\n \t
                                                                          1. The grocery store has a special on macaroni and cheese. The price is [latex]{$3.87}[\/latex] for [latex]3[\/latex] boxes. How much does each box cost?\r\n[reveal-answer q=\"958291\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"958291\"]$1.29\/box[\/hidden-answer]<\/li>\r\n \t
                                                                          2. The pet store has a special on cat food. The price is [latex]{$4.32}[\/latex] for [latex]12[\/latex] cans. How much does each can cost?<\/li>\r\n<\/ol>\r\n

                                                                            Find Unit Price<\/strong><\/h3>\r\nIn the following exercises, find each unit price and then identify the better buy. Round to three decimal places.\r\n
                                                                              \r\n \t
                                                                            1. Mouthwash, [latex]{50.7-ounce}[\/latex] size for [latex]{$6.99}[\/latex] or [latex]{33.8-ounce}[\/latex] size for [latex]{$4.79}[\/latex]\r\n[reveal-answer q=\"7732\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"7732\"]The 50.7-ounce size costs $0.138 per ounce. The 33.8-ounce size costs $0.142 per ounce. The 50.7-ounce size is the better buy.[\/hidden-answer]<\/li>\r\n \t
                                                                            2. Toothpaste, [latex]6[\/latex] ounce size for [latex]{$3.19}[\/latex] or [latex]7.8-ounce[\/latex] size for [latex]{$5.19}[\/latex]<\/li>\r\n \t
                                                                            3. Breakfast cereal, [latex]18[\/latex] ounces for [latex]{$3.99}[\/latex] or [latex]14[\/latex] ounces for [latex]{$3.29}[\/latex]\r\n[reveal-answer q=\"75328\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"75328\"]The 18-ounce size costs $0.222 per ounce. The 14-ounce size costs $0.235 per ounce. The 18-ounce size is a better buy.[\/hidden-answer]<\/li>\r\n \t
                                                                            4. Breakfast Cereal, [latex]10.7[\/latex] ounces for [latex]{$2.69}[\/latex] or [latex]14.8[\/latex] ounces for [latex]{$3.69}[\/latex]<\/li>\r\n \t
                                                                            5. Ketchup, [latex]{40-ounce}[\/latex] regular bottle for [latex]{$2.99}[\/latex] or [latex]{64-ounce}[\/latex] squeeze bottle for [latex]{$4.39}[\/latex]\r\n[reveal-answer q=\"229860\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"229860\"]The regular bottle costs $0.075 per ounce. The squeeze bottle costs $0.069 per ounce. The squeeze bottle is a better buy.[\/hidden-answer]<\/li>\r\n \t
                                                                            6. Mayonnaise [latex]{15-ounce}[\/latex] regular bottle for [latex]{$3.49}[\/latex] or [latex]{22-ounce}[\/latex] squeeze bottle for [latex]{$4.99}[\/latex]<\/li>\r\n \t
                                                                            7. Cheese [latex]{$6.49}[\/latex] for [latex]1[\/latex] lb. block or [latex]{$3.39}[\/latex] for [latex]\\Large\\frac{1}{2}[\/latex] lb. block\r\n[reveal-answer q=\"135232\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"135232\"]The half-pound block costs $6.78\/lb, so the 1-lb. block is a better buy.[\/hidden-answer]<\/li>\r\n \t
                                                                            8. Candy [latex]{$10.99}[\/latex] for a [latex]1[\/latex] lb. bag or [latex]{$2.89}[\/latex] for [latex]\\Large\\frac{1}{4}[\/latex] lb. of loose candy<\/li>\r\n<\/ol>\r\n

                                                                              Translate Phrases to Expressions with Fractions<\/strong><\/h3>\r\nIn the following exercises, translate the English phrase into an algebraic expression.\r\n
                                                                                \r\n \t
                                                                              1. [latex]793[\/latex] miles per [latex]p[\/latex] hours\r\n[reveal-answer q=\"873166\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"873166\"][latex]\\Large\\frac{\\text{793 miles}}{p \\text{hours}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                              2. [latex]78[\/latex] feet per [latex]r[\/latex] seconds<\/li>\r\n \t
                                                                              3. [latex]{$3}[\/latex] for [latex]0.5[\/latex] lbs.\r\n[reveal-answer q=\"978449\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"978449\"][latex]\\Large\\frac{{$3}}{{0.5 lbs}.}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                              4. [latex]j[\/latex] beats in [latex]0.5[\/latex] minutes<\/li>\r\n \t
                                                                              5. [latex]105[\/latex] calories in [latex]x[\/latex] ounces\r\n[reveal-answer q=\"891872\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"891872\"][latex]\\Large\\frac{\\text{105 calories}} {x \\text {ounces}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                              6. [latex]400[\/latex] minutes for [latex]m[\/latex] dollars<\/li>\r\n \t
                                                                              7. the ratio of [latex]y[\/latex] and [latex]5x[\/latex]\r\n[reveal-answer q=\"860976\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"860976\"][latex]\\Large\\frac{y}{5x}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                              8. the ratio of [latex]12x[\/latex] and [latex]y[\/latex]<\/li>\r\n<\/ol>\r\n

                                                                                Everyday Math<\/h3>\r\n
                                                                                \r\n

                                                                                Everyday math<\/h3>\r\n
                                                                                  \r\n \t
                                                                                1. One elementary school in Ohio has [latex]684[\/latex] students and [latex]45[\/latex] teachers. Write the student-to-teacher ratio as a unit rate.\r\n[reveal-answer q=\"286092\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"286092\"]15.2 students per teacher[\/hidden-answer]<\/li>\r\n \t
                                                                                2. The average American produces about [latex]1,600[\/latex] pounds of paper trash per year (365 days). How many pounds of paper trash does the average American produce each day? (Round to the nearest tenth of a pound.)<\/li>\r\n \t
                                                                                3. A popular fast food burger weighs [latex]7.5[\/latex] ounces and contains [latex]540[\/latex] calories, [latex]29[\/latex] grams of fat, [latex]43[\/latex] grams of carbohydrates, and [latex]25[\/latex] grams of protein. Find the unit rate of \u24d0 calories per ounce \u24d1 grams of fat per ounce \u24d2 grams of carbohydrates per ounce \u24d3 grams of protein per ounce. Round to two decimal places.\r\n[reveal-answer q=\"342782\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"342782\"]\u24d0 72 calories\/ounce \u24d1 3.87 grams of fat\/ounce \u24d2 5.73 grams carbs\/once \u24d3 3.33 grams protein\/ounce[\/hidden-answer]<\/li>\r\n \t
                                                                                4. A [latex]16-ounce[\/latex] chocolate mocha coffee with whipped cream contains [latex]470[\/latex] calories, [latex]18[\/latex] grams of fat, [latex]63[\/latex] grams of carbohydrates, and [latex]15[\/latex] grams of protein. Find the unit rate of \u24d0 calories per ounce \u24d1 grams of fat per ounce \u24d2 grams of carbohydrates per ounce \u24d3 grams of protein per ounce.<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n
                                                                                  \r\n

                                                                                  Writing Exercises<\/h3>\r\n
                                                                                    \r\n \t
                                                                                  1. Would you prefer the ratio of your income to your friend\u2019s income to be [latex]\\text{3\/1}[\/latex] or [latex]1\/3?[\/latex] Explain your reasoning.\r\nAnswers will vary.<\/li>\r\n \t
                                                                                  2. The parking lot at the airport charges [latex]{$0.75}[\/latex] for every [latex]15[\/latex] minutes. \u24d0 How much does it cost to park for [latex]1[\/latex] hour? \u24d1 Explain how you got your answer to part \u24d0. Was your reasoning based on the unit cost or did you use another method?<\/li>\r\n \t
                                                                                  3. Kathryn ate a [latex]4-ounce[\/latex] cup of frozen yogurt and then went for a swim. The frozen yogurt had [latex]115[\/latex] calories. Swimming burns [latex]422[\/latex] calories per hour. For how many minutes should Kathryn swim to burn off the calories in the frozen yogurt? Explain your reasoning.\r\nAnswers will vary.<\/li>\r\n \t
                                                                                  4. Mollie had a [latex]16-ounce[\/latex] cappuccino at her neighborhood coffee shop. The cappuccino had [latex]110[\/latex] calories. If Mollie walks for one hour, she burns [latex]246[\/latex] calories. For how many minutes must Mollie walk to burn off the calories in the cappuccino? Explain your reasoning.<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n\r\nSimplify Expressions with Square Roots<\/strong>\r\n\r\nIn the following exercises, simplify.\r\n
                                                                                      \r\n \t
                                                                                    1. [latex]\\sqrt{36}[\/latex]\r\n[reveal-answer q=\"401551\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"401551\"]6[\/hidden-answer]<\/li>\r\n \t
                                                                                    2. [latex]\\sqrt{4}[\/latex]<\/li>\r\n \t
                                                                                    3. [latex]\\sqrt{64}[\/latex]\r\n[reveal-answer q=\"157868\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"157868\"]8[\/hidden-answer]<\/li>\r\n \t
                                                                                    4. [latex]\\sqrt{144}[\/latex]<\/li>\r\n \t
                                                                                    5. [latex]-\\sqrt{4}[\/latex]\r\n[reveal-answer q=\"607127\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"607127\"]\u22122[\/hidden-answer]<\/li>\r\n \t
                                                                                    6. [latex]-\\sqrt{100}[\/latex]<\/li>\r\n \t
                                                                                    7. [latex]-\\sqrt{1}[\/latex]\r\n[reveal-answer q=\"273460\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"273460\"]\u22121[\/hidden-answer]<\/li>\r\n \t
                                                                                    8. [latex]-\\sqrt{121}[\/latex]<\/li>\r\n \t
                                                                                    9. [latex]\\sqrt{-121}[\/latex]\r\n[reveal-answer q=\"141775\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"141775\"]not a real number[\/hidden-answer]<\/li>\r\n \t
                                                                                    10. [latex]\\sqrt{-36}[\/latex]<\/li>\r\n \t
                                                                                    11. [latex]\\sqrt{-9}[\/latex]\r\n[reveal-answer q=\"227141\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"227141\"]not a real number[\/hidden-answer]<\/li>\r\n \t
                                                                                    12. [latex]\\sqrt{-49}[\/latex]<\/li>\r\n \t
                                                                                    13. [latex]\\sqrt{9+16}[\/latex]\r\n[reveal-answer q=\"177779\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"177779\"]5[\/hidden-answer]<\/li>\r\n \t
                                                                                    14. [latex]\\sqrt{25+144}[\/latex]<\/li>\r\n \t
                                                                                    15. [latex]\\sqrt{9}+\\sqrt{16}[\/latex]\r\n[reveal-answer q=\"652944\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"652944\"]7[\/hidden-answer]<\/li>\r\n \t
                                                                                    16. [latex]\\sqrt{25}+\\sqrt{144}[\/latex]<\/li>\r\n<\/ol>\r\n

                                                                                      Estimate Square Roots<\/strong><\/h3>\r\nIn the following exercises, estimate each square root between two consecutive whole numbers.\r\n
                                                                                        \r\n \t
                                                                                      1. [latex]\\sqrt{70}[\/latex]\r\n[reveal-answer q=\"294230\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"294230\"][latex]8<\\sqrt{70}<9[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                                      2. [latex]\\sqrt{55}[\/latex]<\/li>\r\n \t
                                                                                      3. [latex]\\sqrt{200}[\/latex]\r\n[reveal-answer q=\"159114\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"159114\"][latex]14<\\sqrt{200}<15[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                                      4. [latex]\\sqrt{172}[\/latex]<\/li>\r\n<\/ol>\r\n

                                                                                        Approximate Square Roots with a Calculator<\/strong><\/h3>\r\nIn the following exercises, use a calculator to approximate each square root and round to two decimal places.\r\n
                                                                                          \r\n \t
                                                                                        1. [latex]\\sqrt{19}[\/latex]\r\n[reveal-answer q=\"35646\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"35646\"]4.36[\/hidden-answer]<\/li>\r\n \t
                                                                                        2. [latex]\\sqrt{21}[\/latex]<\/li>\r\n \t
                                                                                        3. [latex]\\sqrt{53}[\/latex]\r\n[reveal-answer q=\"758190\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"758190\"]7.28[\/hidden-answer]<\/li>\r\n \t
                                                                                        4. [latex]\\sqrt{47}[\/latex]<\/li>\r\n<\/ol>\r\n

                                                                                          Simplify Variable Expressions with Square Roots<\/strong><\/h3>\r\nIn the following exercises, simplify. (Assume all variables are greater than or equal to zero.)\r\n
                                                                                            \r\n \t
                                                                                          1. [latex]\\sqrt{{y}^{2}}[\/latex]\r\n[reveal-answer q=\"695747\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"695747\"]y[\/hidden-answer]<\/li>\r\n \t
                                                                                          2. [latex]\\sqrt{{b}^{2}}[\/latex]<\/li>\r\n \t
                                                                                          3. [latex]\\sqrt{49{x}^{2}}[\/latex]\r\n[reveal-answer q=\"958230\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"958230\"]7x[\/hidden-answer]<\/li>\r\n \t
                                                                                          4. [latex]\\sqrt{100{y}^{2}}[\/latex]<\/li>\r\n \t
                                                                                          5. [latex]-\\sqrt{64{a}^{2}}[\/latex]\r\n[reveal-answer q=\"91775\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"91775\"]\u22128a[\/hidden-answer]<\/li>\r\n \t
                                                                                          6. [latex]-\\sqrt{25{x}^{2}}[\/latex]<\/li>\r\n \t
                                                                                          7. [latex]\\sqrt{144{x}^{2}{y}^{2}}[\/latex]\r\n[reveal-answer q=\"299115\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"299115\"]12xy[\/hidden-answer]<\/li>\r\n \t
                                                                                          8. [latex]\\sqrt{196{a}^{2}{b}^{2}}[\/latex]<\/li>\r\n<\/ol>\r\n

                                                                                            Use Square Roots in Applications<\/strong><\/h3>\r\nIn the following exercises, solve. Round to one decimal place.\r\n\r\nLandscaping<\/strong> Reed wants to have a square garden plot in his backyard. He has enough compost to cover an area of [latex]75[\/latex] square feet. How long can a side of his garden be?\r\n[reveal-answer q=\"677415\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"677415\"]8.7 feet[\/hidden-answer]\r\n\r\nLandscaping<\/strong> Vince wants to make a square patio in his yard. He has enough concrete to pave an area of [latex]130[\/latex] square feet. How long can a side of his patio be?\r\n\r\nGravity<\/strong> An airplane dropped a flare from a height of [latex]1,024[\/latex] feet above a lake. How many seconds did it take for the flare to reach the water?\r\n[reveal-answer q=\"585839\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"585839\"]8 seconds[\/hidden-answer]\r\n\r\nGravity<\/strong> A hang glider dropped his cell phone from a height of [latex]350[\/latex] feet. How many seconds did it take for the cell phone to reach the ground?\r\n\r\nGravity<\/strong> A construction worker dropped a hammer while building the Grand Canyon skywalk, [latex]4,000[\/latex] feet above the Colorado River. How many seconds did it take for the hammer to reach the river?\r\n[reveal-answer q=\"550466\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"550466\"]15.8 seconds[\/hidden-answer]\r\n\r\nAccident investigation<\/strong> The skid marks from a car involved in an accident measured [latex]54[\/latex] feet. What was the speed of the car before the brakes were applied?\r\n\r\nAccident investigation<\/strong> The skid marks from a car involved in an accident measured [latex]216[\/latex] feet. What was the speed of the car before the brakes were applied?\r\n[reveal-answer q=\"353928\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"353928\"]72 mph[\/hidden-answer]\r\n\r\nAccident investigation<\/strong> An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was [latex]175[\/latex] feet. What was the speed of the vehicle before the brakes were applied?\r\n\r\nAccident investigation<\/strong> An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was [latex]117[\/latex] feet. What was the speed of the vehicle before the brakes were applied?\r\n[reveal-answer q=\"875333\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"875333\"]53.0 mph[\/hidden-answer]\r\n
                                                                                            \r\n

                                                                                            Everyday Math<\/h3>\r\nDecorating<\/strong> Denise wants to install a square accent of designer tiles in her new shower. She can afford to buy [latex]625[\/latex] square centimeters of the designer tiles. How long can a side of the accent be?\r\n\r\nDecorating<\/strong> Morris wants to have a square mosaic inlaid in his new patio. His budget allows for [latex]2,025[\/latex] tiles. Each tile is square with an area of one square inch. How long can a side of the mosaic be?\r\n[reveal-answer q=\"898070\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"898070\"]45 inches[\/hidden-answer]\r\n\r\n<\/div>\r\n

                                                                                            <\/h3>\r\n
                                                                                            \r\n

                                                                                            Writing exercises<\/h3>\r\n
                                                                                              \r\n \t
                                                                                            • Why is there no real number equal to [latex]\\sqrt{-64}?[\/latex]<\/li>\r\n \t
                                                                                            • What is the difference between [latex]{9}^{2}[\/latex] and [latex]\\sqrt{9}?[\/latex]\r\nAnswers will vary. 92<\/sup> reads: \"nine squared\" and means nine times itself. The expression [latex]\\sqrt{9}[\/latex] reads: \"the square root of nine\" which gives us the number such that if it were multiplied by itself would give you the number inside of the square root.<\/li>\r\n<\/ul>\r\n<\/div>\r\n \r\n

                                                                                              Chapter Review Exercises<\/h3>\r\n

                                                                                              Decimals<\/h3>\r\n

                                                                                              Name Decimals<\/h4>\r\nIn the following exercises, name each decimal.\r\n
                                                                                                \r\n \t
                                                                                              1. [latex]0.8[\/latex]<\/li>\r\n \t
                                                                                              2. [latex]0.375[\/latex]\r\n[reveal-answer q=\"858125\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"858125\"]three hundred seventy-five thousandths[\/hidden-answer]<\/li>\r\n \t
                                                                                              3. [latex]0.007[\/latex]<\/li>\r\n \t
                                                                                              4. [latex]5.24[\/latex]\r\n[reveal-answer q=\"522530\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"522530\"]five and twenty-four hundredths[\/hidden-answer]<\/li>\r\n \t
                                                                                              5. [latex]-12.5632[\/latex]<\/li>\r\n \t
                                                                                              6. [latex]-4.09[\/latex]\r\n[reveal-answer q=\"805939\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"805939\"]negative four and nine hundredths[\/hidden-answer]<\/li>\r\n<\/ol>\r\nWrite Decimals<\/strong>\r\nIn the following exercises, write as a decimal.\r\n
                                                                                                  \r\n \t
                                                                                                1. three tenths<\/li>\r\n \t
                                                                                                2. nine hundredths\r\n[reveal-answer q=\"982017\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"982017\"]0.09[\/hidden-answer]<\/li>\r\n \t
                                                                                                3. twenty-seven hundredths<\/li>\r\n \t
                                                                                                4. ten and thirty-five thousandths\r\n[reveal-answer q=\"726161\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"726161\"]10.035[\/hidden-answer]<\/li>\r\n \t
                                                                                                5. negative twenty and three tenths<\/li>\r\n \t
                                                                                                6. negative five hundredths\r\n[reveal-answer q=\"186732\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"186732\"]\u22120.05[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                  Convert Decimals to Fractions or Mixed Numbers<\/strong><\/h3>\r\nIn the following exercises, convert each decimal to a fraction. Simplify the answer if possible.\r\n
                                                                                                    \r\n \t
                                                                                                  1. [latex]0.43[\/latex]<\/li>\r\n \t
                                                                                                  2. [latex]0.825[\/latex]\r\n[reveal-answer q=\"164943\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"164943\"][latex]\\Large\\frac{33}{40}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                                                  3. [latex]9.7[\/latex]<\/li>\r\n \t
                                                                                                  4. [latex]3.64[\/latex]\r\n[reveal-answer q=\"553433\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"553433\"][latex]3\\Large\\frac{16}{25}[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                    Locate Decimals on the Number Line<\/strong><\/h4>\r\n
                                                                                                      \r\n \t
                                                                                                    1. [latex]0.6[\/latex]<\/li>\r\n \t
                                                                                                    2. [latex]-0.9[\/latex]<\/li>\r\n \t
                                                                                                    3. [latex]2.2[\/latex]<\/li>\r\n \t
                                                                                                    4. [latex]-1.3[\/latex]<\/li>\r\n<\/ol>\r\nOrder Decimals<\/strong>\r\nIn the following exercises, order each of the following pairs of numbers, using [latex]&lt[\/latex]; or [latex]\\text{>.}[\/latex]\r\n
                                                                                                        \r\n \t
                                                                                                      1. [latex]0.6\\text{___}0.8[\/latex]\r\n[reveal-answer q=\"623979\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"623979\"]<[\/hidden-answer]<\/li>\r\n \t
                                                                                                      2. [latex]0.2\\text{___}0.15[\/latex]<\/li>\r\n \t
                                                                                                      3. [latex]0.803\\text{____}0.83[\/latex]\r\n[reveal-answer q=\"511118\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"511118\"]<[\/hidden-answer]<\/li>\r\n \t
                                                                                                      4. [latex]-0.56\\text{____} - 0.562[\/latex]<\/li>\r\n<\/ol>\r\nRound Decimals<\/strong>\r\nIn the following exercises, round each number to the nearest: \u24d0 hundredth \u24d1 tenth \u24d2 whole number.\r\n
                                                                                                          \r\n \t
                                                                                                        1. [latex]12.529[\/latex]\r\n[reveal-answer q=\"963837\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"963837\"]\u24d0 12.53 \u24d1 12.5 \u24d2 13[\/hidden-answer]<\/li>\r\n \t
                                                                                                        2. [latex]4.8447[\/latex]<\/li>\r\n \t
                                                                                                        3. [latex]5.897[\/latex]\r\n[reveal-answer q=\"402011\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"402011\"]\u24d0 5.90 \u24d1 5.9 \u24d2 6[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                          Decimal Operations<\/h3>\r\nAdd and Subtract Decimals<\/strong>\r\nIn the following exercises, add or subtract.\r\n
                                                                                                            \r\n \t
                                                                                                          1. [latex]5.75+8.46[\/latex]<\/li>\r\n \t
                                                                                                          2. [latex]32.89 - 8.22[\/latex]\r\n[reveal-answer q=\"122303\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"122303\"]24.67[\/hidden-answer]<\/li>\r\n \t
                                                                                                          3. [latex]24 - 19.31[\/latex]<\/li>\r\n \t
                                                                                                          4. [latex]10.2+14.631[\/latex]\r\n[reveal-answer q=\"251287\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"251287\"]24.831[\/hidden-answer]<\/li>\r\n \t
                                                                                                          5. [latex]-6.4+\\left(-2.9\\right)[\/latex]<\/li>\r\n \t
                                                                                                          6. [latex]1.83 - 4.2[\/latex]\r\n[reveal-answer q=\"466020\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"466020\"]\u22122.37[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                            Multiply Decimals<\/strong><\/h3>\r\nIn the following exercises, multiply.\r\n
                                                                                                              \r\n \t
                                                                                                            1. [latex]\\left(0.3\\right)\\left(0.7\\right)[\/latex]<\/li>\r\n \t
                                                                                                            2. [latex]\\left(-6.4\\right)\\left(0.25\\right)[\/latex]\r\n[reveal-answer q=\"623395\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"623395\"]\u22121.6[\/hidden-answer]<\/li>\r\n \t
                                                                                                            3. [latex]\\left(-3.35\\right)\\left(-12.7\\right)[\/latex]<\/li>\r\n \t
                                                                                                            4. [latex]\\left(15.4\\right)\\left(1000\\right)[\/latex]\r\n[reveal-answer q=\"285983\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"285983\"]15,400[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                              Divide Decimals<\/strong><\/h3>\r\nIn the following exercises, divide.\r\n
                                                                                                                \r\n \t
                                                                                                              1. [latex]0.48\\div 6[\/latex]<\/li>\r\n \t
                                                                                                              2. [latex]4.32\\div 24[\/latex]\r\n[reveal-answer q=\"772793\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"772793\"]0.18[\/hidden-answer]<\/li>\r\n \t
                                                                                                              3. [latex]{$6.29}\\div 12[\/latex]<\/li>\r\n \t
                                                                                                              4. [latex]\\left(-0.8\\right)\\div \\left(-0.2\\right)[\/latex]\r\n[reveal-answer q=\"994918\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"994918\"]4[\/hidden-answer]<\/li>\r\n \t
                                                                                                              5. [latex]1.65\\div 0.15[\/latex]<\/li>\r\n \t
                                                                                                              6. [latex]9\\div 0.045[\/latex]\r\n[reveal-answer q=\"476167\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"476167\"]200[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                Use Decimals in Money Applications<\/strong><\/h3>\r\nIn the following exercises, use the strategy for applications to solve.\r\n
                                                                                                                  \r\n \t
                                                                                                                1. Miranda got [latex]{$40}[\/latex] from her ATM. She spent [latex]{$9.32}[\/latex] on lunch and [latex]{$16.99}[\/latex] on a book. How much money did she have left? Round to the nearest cent if necessary.<\/li>\r\n \t
                                                                                                                2. Jessie put [latex]8[\/latex] gallons of gas in her car. One gallon of gas costs [latex]{$3.528.}[\/latex] How much did Jessie owe for all the gas?\r\n[reveal-answer q=\"979400\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"979400\"]$28.22[\/hidden-answer]<\/li>\r\n \t
                                                                                                                3. A pack of [latex]16[\/latex] water bottles cost [latex]{$6.72.}[\/latex] How much did each bottle cost?<\/li>\r\n \t
                                                                                                                4. Alice bought a roll of paper towels that cost [latex]{$2.49.}[\/latex] She had a coupon for [latex]{$0.35}[\/latex] off, and the store doubled the coupon. How much did Alice pay for the paper towels?\r\n[reveal-answer q=\"848379\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"848379\"]$1.79[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                  Decimals and Fractions<\/h3>\r\nConvert Fractions to Decimals<\/strong>\r\nIn the following exercises, convert each fraction to a decimal.\r\n
                                                                                                                    \r\n \t
                                                                                                                  1. [latex]\\Large\\frac{3}{5}[\/latex]<\/li>\r\n \t
                                                                                                                  2. [latex]\\Large\\frac{7}{8}[\/latex]\r\n[reveal-answer q=\"527285\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"527285\"]0.875[\/hidden-answer]<\/li>\r\n \t
                                                                                                                  3. [latex]-\\Large\\frac{19}{20}[\/latex]<\/li>\r\n \t
                                                                                                                  4. [latex]-\\Large\\frac{21}{4}[\/latex]\r\n[reveal-answer q=\"290526\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"290526\"]\u22125.25[\/hidden-answer]<\/li>\r\n \t
                                                                                                                  5. [latex]\\Large\\frac{1}{3}[\/latex]<\/li>\r\n \t
                                                                                                                  6. [latex]\\Large\\frac{6}{11}[\/latex]\r\n[reveal-answer q=\"688890\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"688890\"][latex]0.\\stackrel{\\text{-}}{54}[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                    Order Decimals and Fractions<\/strong><\/h3>\r\nIn the following exercises, order each pair of numbers, using [latex]&lt[\/latex]; or [latex]\\text{>.}[\/latex]\r\n
                                                                                                                      \r\n \t
                                                                                                                    1. [latex]\\Large\\frac{1}{2}\\text{___}\\normalsize 0.2[\/latex]<\/li>\r\n \t
                                                                                                                    2. [latex]\\Large\\frac{3}{5}\\text{___}\\normalsize 0[\/latex].\r\n[reveal-answer q=\"261457\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"261457\"]>[\/hidden-answer]<\/li>\r\n \t
                                                                                                                    3. [latex]-\\Large\\frac{7}{8}\\text{___}\\normalsize - 0.84[\/latex]<\/li>\r\n \t
                                                                                                                    4. [latex]-\\Large\\frac{5}{12}\\text{___}\\normalsize - 0.42[\/latex]\r\n[reveal-answer q=\"437665\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"437665\"]>[\/hidden-answer]<\/li>\r\n \t
                                                                                                                    5. [latex]0.625\\text{___}\\Large\\frac{13}{20}[\/latex]<\/li>\r\n \t
                                                                                                                    6. [latex]0.33\\text{___}\\Large\\frac{5}{16}[\/latex]\r\n[reveal-answer q=\"577503\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"577503\"]>[\/hidden-answer]<\/li>\r\n<\/ol>\r\nIn the following exercises, write each set of numbers in order from least to greatest.\r\n
                                                                                                                        \r\n \t
                                                                                                                      1. [latex]\\Large\\frac{2}{3}\\normalsize ,\\Large\\frac{17}{20}\\normalsize ,0.65[\/latex]<\/li>\r\n \t
                                                                                                                      2. [latex]\\Large\\frac{7}{9}\\normalsize ,0.75\\normalsize ,\\Large\\frac{11}{15}[\/latex]\r\n[reveal-answer q=\"378060\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"378060\"][latex]\\Large\\frac{11}{15}\\normalsize ,0.75,\\Large\\frac{7}{9}[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\nSimplify Expressions Using the Order of Operations<\/strong>\r\nIn the following exercises, simplify\r\n
                                                                                                                          \r\n \t
                                                                                                                        1. [latex]4\\left(10.3 - 5.8\\right)[\/latex]<\/li>\r\n \t
                                                                                                                        2. [latex]\\Large\\frac{3}{4}\\normalsize\\left(15.44 - 7.4\\right)[\/latex]\r\n[reveal-answer q=\"640694\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"640694\"]6.03[\/hidden-answer]<\/li>\r\n \t
                                                                                                                        3. [latex]30\\div \\left(0.45+0.15\\right)[\/latex]<\/li>\r\n \t
                                                                                                                        4. [latex]1.6+\\Large\\frac{3}{8}[\/latex]\r\n[reveal-answer q=\"807946\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"807946\"]1.975[\/hidden-answer]<\/li>\r\n \t
                                                                                                                        5. [latex]52\\left(0.5\\right)+{\\left(0.4\\right)}^{2}[\/latex]<\/li>\r\n \t
                                                                                                                        6. [latex]-\\Large\\frac{2}{5}\\normalsize\\cdot\\Large\\frac{9}{10}\\normalsize +0.14[\/latex]\r\n[reveal-answer q=\"330532\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"330532\"]\u22120.22[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                          Find the Circumference and Area of Circles<\/strong><\/h3>\r\nIn the following exercises, approximate the \u24d0 circumference and \u24d1 area of each circle.\r\n
                                                                                                                            \r\n \t
                                                                                                                          1. [latex]\\text{radius}=\\text{6 in.}[\/latex]<\/li>\r\n \t
                                                                                                                          2. [latex]\\text{radius}=\\text{3.5 ft.}[\/latex]\r\n[reveal-answer q=\"138242\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"138242\"]\u24d0 21.98 ft. \u24d1 38.465 sq.ft.[\/hidden-answer]<\/li>\r\n \t
                                                                                                                          3. [latex]\\text{radius}=\\Large\\frac{7}{33}\\normalsize\\text{m}[\/latex]<\/li>\r\n \t
                                                                                                                          4. [latex]\\text{diameter}=\\text{11 cm}[\/latex]\r\n[reveal-answer q=\"976741\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"976741\"]\u24d0 34.54 cm \u24d1 379.94 sq.cm[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                            Solving Equations With Decimals<\/b><\/span><\/h3>\r\n

                                                                                                                            Determine Whether a Decimal is a Solution of an Equation<\/b>\r\nIn the following exercises, determine whether each number is a solution of the given equation.<\/span><\/p>\r\n[latex]x - 0.8=2.3[\/latex]<\/span>\r\n

                                                                                                                            \u24d0<\/span> [latex]x=2[\/latex] <\/span>\u24d1<\/span> [latex]x=-1.5[\/latex] <\/span>\u24d2<\/span> [latex]x=3.1[\/latex]\r\n[reveal-answer q=\"577332\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"577332\"]\u24d0 no \u24d1 no \u24d2 yes[\/hidden-answer]<\/span><\/p>\r\n

                                                                                                                            [latex]y+0.6=-3.4[\/latex]<\/span><\/p>\r\n

                                                                                                                            \u24d0<\/span> [latex]y=-4[\/latex] <\/span>\u24d1<\/span> [latex]y=-2.8[\/latex] <\/span>\u24d2<\/span> [latex]y=2.6[\/latex]<\/span><\/p>\r\n

                                                                                                                            [latex]\\Large\\frac{h}{1.5}\\normalsize =-4.3[\/latex]<\/span><\/p>\r\n

                                                                                                                            \u24d0<\/span> [latex]h=6.45[\/latex] <\/span>\u24d1<\/span> [latex]h=-6.45[\/latex] <\/span>\u24d2<\/span> [latex]h=-2.1[\/latex]\r\n[reveal-answer q=\"878950\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"878950\"]\u24d0 no \u24d1 yes \u24d2 no[\/hidden-answer]<\/span><\/p>\r\n

                                                                                                                            [latex]0.75k=-3.6[\/latex]<\/span><\/p>\r\n

                                                                                                                            \u24d0<\/span> [latex]k=-0.48[\/latex] <\/span>\u24d1<\/span> [latex]k=-4.8[\/latex] <\/span>\u24d2<\/span> [latex]k=-2.7[\/latex]<\/span><\/p>\r\n\r\n

                                                                                                                            Solve Equations with Decimals<\/b>\r\n<\/span><\/h3>\r\n

                                                                                                                            In the following exercises, solve the equation.<\/span><\/p>\r\n\r\n

                                                                                                                              \r\n \t
                                                                                                                            1. [latex]y+2.9=5.7[\/latex]\r\n[reveal-answer q=\"284633\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"284633\"]y = 2.8[\/hidden-answer]<\/span><\/li>\r\n \t
                                                                                                                            2. [latex]m+4.6=6.5[\/latex]<\/li>\r\n \t
                                                                                                                            3. [latex]f+3.45=2.6[\/latex]\r\n[reveal-answer q=\"622935\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"622935\"]f = \u22120.85[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            4. [latex]h+4.37=3.5[\/latex]<\/li>\r\n \t
                                                                                                                            5. [latex]a+6.2=-1.7[\/latex]\r\n[reveal-answer q=\"752096\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"752096\"]a = \u22127.9[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            6. [latex]b+5.8=-2.3[\/latex]<\/li>\r\n \t
                                                                                                                            7. [latex]c+1.15=-3.5[\/latex]\r\n[reveal-answer q=\"576735\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"576735\"]c = \u22124.65[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            8. [latex]d+2.35=-4.8[\/latex]<\/li>\r\n \t
                                                                                                                            9. [latex]n - 2.6=1.8[\/latex]\r\n[reveal-answer q=\"107207\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"107207\"]n = 4.4[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            10. [latex]p - 3.6=1.7[\/latex]<\/li>\r\n \t
                                                                                                                            11. [latex]x - 0.4=-3.9[\/latex]\r\n[reveal-answer q=\"965425\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"965425\"]x = \u22123.5[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            12. [latex]y - 0.6=-4.5[\/latex]<\/li>\r\n \t
                                                                                                                            13. [latex]j - 1.82=-6.5[\/latex]\r\n[reveal-answer q=\"499365\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"499365\"]j = \u22124.68[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            14. [latex]k - 3.19=-4.6[\/latex]<\/li>\r\n \t
                                                                                                                            15. [latex]m - 0.25=-1.67[\/latex]\r\n[reveal-answer q=\"87367\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"87367\"]m = \u22121.42[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            16. [latex]q - 0.47=-1.53[\/latex]<\/li>\r\n \t
                                                                                                                            17. [latex]0.5x=3.5[\/latex]\r\n[reveal-answer q=\"244900\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"244900\"]x = 7[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            18. [latex]0.4p=9.2[\/latex]<\/li>\r\n \t
                                                                                                                            19. [latex]-1.7c=8.5[\/latex]\r\n[reveal-answer q=\"943204\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"943204\"]c = \u22125[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            20. [latex]-2.9x=5.8[\/latex]<\/li>\r\n \t
                                                                                                                            21. [latex]-1.4p=-4.2[\/latex]\r\n[reveal-answer q=\"194199\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"194199\"]p = 3[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            22. [latex]-2.8m=-8.4[\/latex]<\/li>\r\n \t
                                                                                                                            23. [latex]-120=1.5q[\/latex]\r\n[reveal-answer q=\"180796\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"180796\"]q = \u221280[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            24. [latex]-75=1.5y[\/latex]<\/li>\r\n \t
                                                                                                                            25. [latex]0.24x=4.8[\/latex]\r\n[reveal-answer q=\"951311\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"951311\"]x = 20[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            26. [latex]0.18n=5.4[\/latex]<\/li>\r\n \t
                                                                                                                            27. [latex]-3.4z=-9.18[\/latex]\r\n[reveal-answer q=\"846024\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"846024\"]z = 2.7[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            28. [latex]-2.7u=-9.72[\/latex]<\/li>\r\n \t
                                                                                                                            29. [latex]\\Large\\frac{a}{0.4}\\normalsize =-20[\/latex]\r\n[reveal-answer q=\"160417\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"160417\"]a = \u22128[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            30. [latex]\\Large\\frac{b}{0.3}\\normalsize =-9[\/latex]<\/li>\r\n \t
                                                                                                                            31. [latex]\\Large\\frac{x}{0.7}\\normalsize =-0.4[\/latex]\r\n[reveal-answer q=\"700886\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"700886\"]x = \u22120.28[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            32. [latex]\\Large\\frac{y}{0.8}\\normalsize =-0.7[\/latex]<\/li>\r\n \t
                                                                                                                            33. [latex]\\Large\\frac{p}{-5}\\normalsize =-1.65[\/latex]\r\n[reveal-answer q=\"19829\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"19829\"]p = 8.25[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            34. [latex]\\Large\\frac{q}{-4}\\normalsize =-5.92[\/latex]<\/li>\r\n \t
                                                                                                                            35. [latex]\\Large\\frac{r}{-1.2}\\normalsize =-6[\/latex]\r\n[reveal-answer q=\"638327\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"638327\"]r = 7.2[\/hidden-answer]<\/li>\r\n \t
                                                                                                                            36. [latex]\\Large\\frac{s}{-1.5}\\normalsize =-3[\/latex]<\/li>\r\n<\/ol>\r\n

                                                                                                                              Mixed Practice<\/b>\r\n<\/span><\/p>\r\nIn the following exercises, solve the equation. Then check your solution.<\/span>\r\n

                                                                                                                                \r\n \t
                                                                                                                              1. [latex]x - 5=-11[\/latex]\r\n[reveal-answer q=\"974070\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"974070\"]x = \u22126[\/hidden-answer]<\/span><\/li>\r\n \t
                                                                                                                              2. [latex]-\\Large\\frac{2}{5}\\normalsize =x+\\Large\\frac{3}{4}[\/latex]<\/li>\r\n \t
                                                                                                                              3. [latex]p+8=-2[\/latex]\r\n[reveal-answer q=\"240196\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"240196\"]p = \u221210[\/hidden-answer]<\/li>\r\n \t
                                                                                                                              4. [latex]p+\\Large\\frac{2}{3}\\normalsize =\\Large\\frac{1}{12}[\/latex]<\/li>\r\n \t
                                                                                                                              5. [latex]-4.2m=-33.6[\/latex]\r\n[reveal-answer q=\"890860\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"890860\"]m = 8[\/hidden-answer]<\/li>\r\n \t
                                                                                                                              6. [latex]q+9.5=-14[\/latex]<\/li>\r\n \t
                                                                                                                              7. [latex]q+\\Large\\frac{5}{6}\\normalsize =\\Large\\frac{1}{12}[\/latex][reveal-answer q=\"23566\"]Show Solution[\/reveal-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                                [hidden-answer a=\"23566\"][latex]q=-\\Large\\frac{3}{4}[\/latex][\/hidden-answer]<\/span><\/p>\r\n

                                                                                                                                [latex]\\Large\\frac{8.6}{15}\\normalsize =-d[\/latex]<\/span><\/p>\r\n

                                                                                                                                [latex]\\Large\\frac{7}{8}\\normalsize m=\\Large\\frac{1}{10}[\/latex]<\/span><\/p>\r\n

                                                                                                                                [latex]m=\\Large\\frac{4}{35}[\/latex]<\/span><\/p>\r\n

                                                                                                                                [latex]\\Large\\frac{j}{-6.2}\\normalsize =-3[\/latex]<\/span><\/p>\r\n

                                                                                                                                [latex]-\\Large\\frac{2}{3}\\normalsize =y+\\Large\\frac{3}{8}[\/latex]<\/span><\/p>\r\n

                                                                                                                                [latex]y=-\\Large\\frac{25}{24}[\/latex]<\/span><\/p>\r\n

                                                                                                                                [latex]s - 1.75=-3.2[\/latex]<\/span><\/p>\r\n

                                                                                                                                [latex]\\Large\\frac{11}{20}\\normalsize =-f[\/latex]<\/span><\/p>\r\n

                                                                                                                                [latex]f=-\\Large\\frac{11}{20}[\/latex]<\/span><\/p>\r\n

                                                                                                                                [latex]-3.6b=2.52[\/latex]<\/span><\/p>\r\n

                                                                                                                                [latex]-4.2a=3.36[\/latex]<\/span><\/p>\r\n

                                                                                                                                a<\/i> = \u22120.8<\/span><\/p>\r\n

                                                                                                                                [latex]-9.1n=-63.7[\/latex]<\/span><\/p>\r\n

                                                                                                                                [latex]r - 1.25=-2.7[\/latex]<\/span><\/p>\r\n

                                                                                                                                r<\/i> = \u22121.45<\/span><\/p>\r\n

                                                                                                                                [latex]\\Large\\frac{1}{4}\\normalsize n=\\Large\\frac{7}{10}[\/latex]<\/span><\/p>\r\n

                                                                                                                                [latex]\\Large\\frac{h}{-3}\\normalsize =-8[\/latex]<\/span><\/p>\r\n

                                                                                                                                h<\/i> = 24<\/span><\/p>\r\n

                                                                                                                                [latex]y - 7.82=-16[\/latex]<\/span><\/p>\r\n\r\n

                                                                                                                                Translate to an Equation and Solve<\/b>\r\n<\/span><\/h3>\r\n

                                                                                                                                In the following exercises, translate and solve.<\/span><\/p>\r\n\r\n

                                                                                                                                  \r\n \t
                                                                                                                                1. The difference of [latex]n[\/latex] and [latex]1.9[\/latex] is [latex]3.4[\/latex].\r\n[reveal-answer q=\"945583\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"945583\"][latex]n - 1.9=3.4;5.3[\/latex][\/hidden-answer]<\/span><\/li>\r\n \t
                                                                                                                                2. The difference [latex]n[\/latex] and [latex]1.5[\/latex] is [latex]0.8[\/latex].<\/li>\r\n \t
                                                                                                                                3. The product of [latex]-6.2[\/latex] and [latex]x[\/latex] is [latex]-4.96[\/latex].\r\n[reveal-answer q=\"608215\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"608215\"]\u22126.2x = \u22124.96; 0.8[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                4. The product of [latex]-4.6[\/latex] and [latex]x[\/latex] is [latex]-3.22[\/latex].<\/li>\r\n \t
                                                                                                                                5. The quotient of [latex]y[\/latex] and [latex]-1.7[\/latex] is [latex]-5[\/latex].\r\n[reveal-answer q=\"456493\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"456493\"][latex]\\Large\\frac{y}{-1.7}\\normalsize =-5;8.5[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                                                                                6. The quotient of [latex]z[\/latex] and [latex]-3.6[\/latex] is [latex]3[\/latex].<\/li>\r\n \t
                                                                                                                                7. The sum of [latex]n[\/latex] and [latex]-7.3[\/latex] is [latex]2.4[\/latex].\r\n[reveal-answer q=\"411534\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"411534\"]n + (\u22127.3) = 2.4; 9.7[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                8. The sum of [latex]n[\/latex] and [latex]-5.1[\/latex] is [latex]3.8[\/latex].class=\"p3\"><\/li>\r\n<\/ol>\r\n \r\n
                                                                                                                                  \r\n

                                                                                                                                  Everyday math<\/h3>\r\n
                                                                                                                                    \r\n \t
                                                                                                                                  1. Shawn bought a pair of shoes on sale for [latex]$78[\/latex] . Solve the equation [latex]0.75p=78[\/latex] to find the original price of the shoes, [latex]p[\/latex].\r\n[reveal-answer q=\"798860\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"798860\"]$104[\/hidden-answer]<\/span><\/li>\r\n \t
                                                                                                                                  2. Mary bought a new refrigerator. The total price including sales tax was [latex]{$1,350}[\/latex]. Find the retail price, [latex]r[\/latex], of the refrigerator before tax by solving the equation [latex]1.08r=1,350[\/latex].<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n
                                                                                                                                    \r\n

                                                                                                                                    Writing Exercises<\/b><\/h3>\r\n
                                                                                                                                      \r\n \t
                                                                                                                                    • Think about solving the equation [latex]1.2y=60[\/latex], but do not actually solve it. Do you think the solution should be greater than [latex]60[\/latex] or less than [latex]60?[\/latex] Explain your reasoning. Then solve the equation to see if your thinking was correct.\r\n<\/span>Answers will vary.<\/li>\r\n \t
                                                                                                                                    • Think about solving the equation [latex]0.8x=200[\/latex], but do not actually solve it. Do you think the solution should be greater than [latex]200[\/latex] or less than [latex]200?[\/latex] Explain your reasoning. Then solve the equation to see if your thinking was correct.<\/li>\r\n<\/ul>\r\n<\/div>\r\n \r\n\r\n \r\n\r\nFind the Mean of a Set of Numbers<\/strong>\r\n\r\nIn the following exercises, find the mean of the numbers.\r\n
                                                                                                                                        \r\n \t
                                                                                                                                      1. [latex]2,4,1,0,1,\\text{and}1[\/latex]<\/li>\r\n \t
                                                                                                                                      2. [latex]{$270}[\/latex] , [latex]{$310.50}[\/latex] , [latex]{$243.75}[\/latex] , and [latex]{$252.15}[\/latex]\r\n[reveal-answer q=\"851158\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"851158\"]$269.10[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                      3. Each workday last week, Yoshie kept track of the number of minutes she had to wait for the bus. She waited [latex]3,0,8,1, and 8[\/latex] minutes. Find the mean<\/li>\r\n \t
                                                                                                                                      4. In the last three months, Raul\u2019s water bills were [latex]{$31.45}, {$48.76},\\text{and} {$42.60}[\/latex]. Find the mean.\r\n[reveal-answer q=\"368163\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"368163\"]$40.94[\/hidden-answer]<\/li>\r\n<\/ol>\r\n \r\n

                                                                                                                                        Find the Median of a Set of Numbers<\/strong><\/h3>\r\nIn the following exercises, find the median.\r\n
                                                                                                                                          \r\n \t
                                                                                                                                        1. [latex]41[\/latex] , [latex]45[\/latex] , [latex]32[\/latex] , [latex]60[\/latex] , [latex]58[\/latex]<\/li>\r\n \t
                                                                                                                                        2. [latex]25[\/latex] , [latex]23[\/latex] , [latex]24[\/latex] , [latex]26[\/latex] , [latex]29[\/latex] , [latex]19[\/latex] , [latex]18[\/latex] , [latex]32[\/latex]\r\n[reveal-answer q=\"979853\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"979853\"]24.5[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                        3. The ages of the eight men in Jerry\u2019s model train club are [latex]52,63,45,51,55,75,60,\\text{and}59[\/latex]. Find the median age.<\/li>\r\n \t
                                                                                                                                        4. The number of clients at Miranda\u2019s beauty salon each weekday last week were [latex]18,7,12,16,\\text{and}20[\/latex]. Find the median number of clients.\r\n[reveal-answer q=\"488843\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"488843\"]16 clients[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                                          Find the Mode of a Set of Numbers<\/strong><\/h3>\r\nIn the following exercises, identify the mode of the numbers.\r\n
                                                                                                                                            \r\n \t
                                                                                                                                          1. [latex]6[\/latex] , [latex]4[\/latex] , [latex]4,5[\/latex] , [latex]6,6[\/latex] , [latex]4[\/latex] , [latex]4[\/latex] , [latex]4[\/latex] , [latex]3[\/latex] , [latex]5[\/latex]<\/li>\r\n \t
                                                                                                                                          2. The number of siblings of a group of students: [latex]2[\/latex] , [latex]0[\/latex] , [latex]3[\/latex] , [latex]2[\/latex] , [latex]4[\/latex] , [latex]1[\/latex] , [latex]6[\/latex] , [latex]5[\/latex] , [latex]4[\/latex] , [latex]1[\/latex] , [latex]2[\/latex] , [latex]3[\/latex]\r\n[reveal-answer q=\"928081\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"928081\"]2[\/hidden-answer]<\/li>\r\n<\/ol>\r\nUse the Basic Definition of Probability<\/strong>\r\n\r\nIn the following exercises, solve. (Round decimals to three places.)\r\n
                                                                                                                                              \r\n \t
                                                                                                                                            1. The Sustainability Club sells [latex]200[\/latex] tickets to a raffle, and Albert buys one ticket. One ticket will be selected at random to win the grand prize. Find the probability Albert will win the grand prize. Express your answer as a fraction and as a decimal.<\/li>\r\n \t
                                                                                                                                            2. Luc has to read [latex]3[\/latex] novels and [latex]12[\/latex] short stories for his literature class. The professor will choose one reading at random for the final exam. Find the probability that the professor will choose a novel for the final exam. Express your answer as a fraction and as a decimal.<\/li>\r\n<\/ol>\r\n \r\n

                                                                                                                                              Ratios and Rate<\/h2>\r\n

                                                                                                                                              Write a Ratio as a Fraction<\/strong><\/h3>\r\nIn the following exercises, write each ratio as a fraction. Simplify the answer if possible.\r\n
                                                                                                                                                \r\n \t
                                                                                                                                              1. [latex]28[\/latex] to [latex]40[\/latex][latex]56[\/latex] to [latex]32[\/latex]\r\n[reveal-answer q=\"564542\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"564542\"][latex]\\Large\\frac{7}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                                                                                              2. [latex]3.5[\/latex] to [latex]0.5[\/latex]<\/li>\r\n \t
                                                                                                                                              3. [latex]1.2[\/latex] to [latex]1.8[\/latex]\r\n[reveal-answer q=\"207841\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"207841\"][latex]\\Large\\frac{2}{3}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                                                                                              4. [latex]1\\Large\\frac{3}{4}\\normalsize\\text{to}1\\Large\\frac{5}{8}[\/latex]<\/li>\r\n \t
                                                                                                                                              5. [latex]2\\Large\\frac{1}{3}\\normalsize\\text{to}5\\Large\\frac{1}{4}[\/latex]\r\n[reveal-answer q=\"124400\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"124400\"][latex]\\Large\\frac{4}{9}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                                                                                              6. [latex]64[\/latex] ounces to [latex]30[\/latex] ounces<\/li>\r\n \t
                                                                                                                                              7. [latex]28[\/latex] inches to [latex]3[\/latex] feet\r\n[reveal-answer q=\"427555\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"427555\"][latex]\\Large\\frac{7}{9}[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                                                Write a Rate as a Fraction<\/strong><\/h3>\r\nIn the following exercises, write each rate as a fraction. Simplify the answer if possible.\r\n
                                                                                                                                                  \r\n \t
                                                                                                                                                1. [latex]180[\/latex] calories per [latex]8[\/latex] ounces<\/li>\r\n \t
                                                                                                                                                2. [latex]90[\/latex] pounds per [latex]7.5[\/latex] square inches\r\n[reveal-answer q=\"510233\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"510233\"][latex]\\Large\\frac{90\\text{pounds}}{7.5\\text{square inches}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                3. [latex]126[\/latex] miles in [latex]4[\/latex] hours<\/li>\r\n \t
                                                                                                                                                4. [latex]{$612.50}[\/latex] for [latex]35[\/latex] hours\r\n[reveal-answer q=\"446282\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"446282\"][latex]\\Large\\frac{$612.50}{35\\text{hours}}[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                                                  Find Unit Rates<\/strong><\/h3>\r\nIn the following exercises, find the unit rate.\r\n
                                                                                                                                                    \r\n \t
                                                                                                                                                  1. [latex]180[\/latex] calories per [latex]8[\/latex] ounces<\/li>\r\n \t
                                                                                                                                                  2. [latex]90[\/latex] pounds per [latex]7.5[\/latex] square inches\r\n[reveal-answer q=\"563366\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"563366\"]12 pounds\/sq.in.[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                  3. [latex]126[\/latex] miles in [latex]4[\/latex] hours<\/li>\r\n \t
                                                                                                                                                  4. [latex]{$612.50}[\/latex] for [latex]35[\/latex] hours\r\n[reveal-answer q=\"577961\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"577961\"]$17.50\/hour[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                                                    Find Unit Price<\/strong><\/h3>\r\nIn the following exercises, find the unit price.\r\n
                                                                                                                                                      \r\n \t
                                                                                                                                                    1. t-shirts: [latex]3[\/latex] for [latex]{$8.97}[\/latex]<\/li>\r\n \t
                                                                                                                                                    2. Highlighters: [latex]6[\/latex] for [latex]{$2.52}[\/latex]\r\n[reveal-answer q=\"971855\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"971855\"]$0.42[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                    3. An office supply store sells a box of pens for [latex]{$11}[\/latex]. The box contains [latex]12[\/latex] pens. How much does each pen cost?<\/li>\r\n \t
                                                                                                                                                    4. Anna bought a pack of [latex]8[\/latex] kitchen towels for [latex]{$13.20}[\/latex]. How much did each towel cost? Round to the nearest cent if necessary.\r\n[reveal-answer q=\"477967\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"477967\"]$1.65[\/hidden-answer]<\/li>\r\n<\/ol>\r\n \r\n\r\nIn the following exercises, find each unit price and then determine the better buy.\r\n
                                                                                                                                                        \r\n \t
                                                                                                                                                      1. Shampoo: [latex]12[\/latex] ounces for [latex]{$4.29}[\/latex] or [latex]22[\/latex] ounces for [latex]{$7.29}?[\/latex]<\/li>\r\n \t
                                                                                                                                                      2. Vitamins: [latex]60[\/latex] tablets for [latex]{$6.49}[\/latex] or [latex]100[\/latex] for [latex]{$11.99}?[\/latex]\r\n[reveal-answer q=\"76858\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"76858\"]$0.11, $0.12; 60 tablets for $6.49[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                                                        Translate Phrases to Expressions with Fractions<\/strong><\/h3>\r\nIn the following exercises, translate the English phrase into an algebraic expression.\r\n
                                                                                                                                                          \r\n \t
                                                                                                                                                        1. [latex]535[\/latex] miles per [latex]h\\text{hours}[\/latex]<\/li>\r\n \t
                                                                                                                                                        2. [latex]a[\/latex] adults to [latex]45[\/latex] children\r\n[reveal-answer q=\"350543\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"350543\"][latex]\\Large\\frac{a\\text{adults}}{45\\text{children}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                        3. the ratio of [latex]4y[\/latex] and the difference of [latex]x[\/latex] and [latex]10[\/latex]<\/li>\r\n \t
                                                                                                                                                        4. the ratio of [latex]19[\/latex] and the sum of [latex]3[\/latex] and [latex]n[\/latex]\r\n[reveal-answer q=\"339287\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"339287\"][latex]\\Large\\frac{19}{3+n}[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                                                          Simplify and Use Square Roots<\/h3>\r\nSimplify Expressions with Square Roots<\/strong>\r\nIn the following exercises, simplify.\r\n
                                                                                                                                                            \r\n \t
                                                                                                                                                          1. [latex]\\sqrt{64}[\/latex]<\/li>\r\n \t
                                                                                                                                                          2. [latex]\\sqrt{144}[\/latex]\r\n[reveal-answer q=\"963585\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"963585\"]12[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                          3. [latex]-\\sqrt{25}[\/latex]<\/li>\r\n \t
                                                                                                                                                          4. [latex]-\\sqrt{81}[\/latex]\r\n[reveal-answer q=\"189244\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"189244\"]\u22129[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                          5. [latex]\\sqrt{-9}[\/latex]<\/li>\r\n \t
                                                                                                                                                          6. [latex]\\sqrt{-36}[\/latex]\r\n[reveal-answer q=\"234775\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"234775\"]not a real number[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                          7. [latex]\\sqrt{64}+\\sqrt{225}[\/latex]<\/li>\r\n \t
                                                                                                                                                          8. [latex]\\sqrt{64+225}[\/latex]\r\n[reveal-answer q=\"766462\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"766462\"]17[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                                                            Estimate Square Roots<\/strong><\/h3>\r\nIn the following exercises, estimate each square root between two consecutive whole numbers.\r\n
                                                                                                                                                              \r\n \t
                                                                                                                                                            1. [latex]\\sqrt{28}[\/latex]<\/li>\r\n \t
                                                                                                                                                            2. [latex]\\sqrt{155}[\/latex]\r\n[reveal-answer q=\"454994\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"454994\"][latex]12<\\sqrt{155}<13[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\nApproximate Square Roots<\/strong>\r\nIn the following exercises, approximate each square root and round to two decimal places.\r\n
                                                                                                                                                                \r\n \t
                                                                                                                                                              1. [latex]\\sqrt{15}[\/latex]<\/li>\r\n \t
                                                                                                                                                              2. [latex]\\sqrt{57}[\/latex]\r\n[reveal-answer q=\"266393\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"266393\"]7.55[\/hidden-answer]<\/li>\r\n<\/ol>\r\nSimplify Variable Expressions with Square Roots<\/strong>\r\n\r\nIn the following exercises, simplify. (Assume all variables are greater than or equal to zero.)\r\n
                                                                                                                                                                  \r\n \t
                                                                                                                                                                1. [latex]\\sqrt{{q}^{2}}[\/latex]<\/li>\r\n \t
                                                                                                                                                                2. [latex]\\sqrt{64{b}^{2}}[\/latex]\r\n[reveal-answer q=\"503702\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"503702\"]8b[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                3. [latex]-\\sqrt{121{a}^{2}}[\/latex]<\/li>\r\n \t
                                                                                                                                                                4. [latex]\\sqrt{225{m}^{2}{n}^{2}}[\/latex]\r\n[reveal-answer q=\"646234\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"646234\"]15mn[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                5. [latex]-\\sqrt{100{q}^{2}}[\/latex]<\/li>\r\n \t
                                                                                                                                                                6. [latex]\\sqrt{49{y}^{2}}[\/latex]\r\n[reveal-answer q=\"419424\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"419424\"]7y[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                7. [latex]\\sqrt{4{a}^{2}{b}^{2}}[\/latex]<\/li>\r\n \t
                                                                                                                                                                8. [latex]\\sqrt{121{c}^{2}{d}^{2}}[\/latex]\r\n[reveal-answer q=\"929578\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"929578\"]11cd[\/hidden-answer]<\/li>\r\n<\/ol>\r\n

                                                                                                                                                                  Use Square Roots in Applications<\/strong><\/h3>\r\nIn the following exercises, solve. Round to one decimal place.\r\n\r\nArt<\/strong> Diego has [latex]225[\/latex] square inch tiles. He wants to use them to make a square mosaic. How long can each side of the mosaic be?\r\n\r\nLandscaping<\/strong> Janet wants to plant a square flower garden in her yard. She has enough topsoil to cover an area of [latex]30[\/latex] square feet. How long can a side of the flower garden be?\r\n[reveal-answer q=\"397252\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"397252\"]5.5 feet[\/hidden-answer]\r\n\r\nGravity<\/strong> A hiker dropped a granola bar from a lookout spot [latex]576[\/latex] feet above a valley. How long did it take the granola bar to reach the valley floor?\r\n\r\nAccident investigation<\/strong> The skid marks of a car involved in an accident were [latex]216[\/latex] feet. How fast had the car been going before applying the brakes?\r\n[reveal-answer q=\"812592\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"812592\"]72 mph[\/hidden-answer]\r\n\r\n \r\n
                                                                                                                                                                  \r\n

                                                                                                                                                                  Chapter Practice Test<\/h3>\r\n
                                                                                                                                                                    \r\n \t
                                                                                                                                                                  1. Write six and thirty-four thousandths as a decimal.<\/li>\r\n \t
                                                                                                                                                                  2. Write [latex]1.73[\/latex] as a fraction.\r\n[reveal-answer q=\"600240\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"600240\"][latex]1\\Large\\frac{73}{100}[\/latex][\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                  3. Write [latex]\\Large\\frac{5}{8}[\/latex] as a decimal.<\/li>\r\n \t
                                                                                                                                                                  4. Round [latex]16.749[\/latex] to the nearest \u24d0 tenth \u24d1 hundredth \u24d2 whole number\r\n[reveal-answer q=\"347848\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"347848\"]\u24d0 16.7 \u24d1 16.75 \u24d2 17[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                  5. Write the numbers [latex]\\Large\\frac{4}{5}\\normalsize ,-0.1,0.804,\\Large\\frac{2}{9}\\normalsize ,-7.4,0.21[\/latex] in order from smallest to largest.<\/li>\r\n<\/ol>\r\nIn the following exercises, simplify each expression.\r\n
                                                                                                                                                                      \r\n \t
                                                                                                                                                                    1. [latex]15.4+3.02[\/latex]\r\n[reveal-answer q=\"55734\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"55734\"]18.42[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                    2. [latex]20 - 5.71[\/latex]<\/li>\r\n \t
                                                                                                                                                                    3. [latex]\\left(0.64\\right)\\left(0.3\\right)[\/latex]\r\n[reveal-answer q=\"893611\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"893611\"]0.192[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                    4. [latex]\\left(-4.2\\right)\\left(100\\right)[\/latex]<\/li>\r\n \t
                                                                                                                                                                    5. [latex]0.96\\div \\left(-12\\right)[\/latex]\r\n[reveal-answer q=\"928567\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"928567\"]\u22120.08[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                    6. [latex]-5\\div 0.025[\/latex]<\/li>\r\n \t
                                                                                                                                                                    7. [latex]-0.6\\div \\left(-0.3\\right)[\/latex]\r\n[reveal-answer q=\"203291\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"203291\"]2[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                    8. [latex]{\\left(0.7\\right)}^{2}[\/latex]<\/li>\r\n \t
                                                                                                                                                                    9. [latex]24\\div \\left(0.1+0.02\\right)[\/latex]\r\n[reveal-answer q=\"496593\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"496593\"]200[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                    10. [latex]4\\left(10.3 - 5.8\\right)[\/latex]<\/li>\r\n \t
                                                                                                                                                                    11. [latex]1.6+\\Large\\frac{3}{8}[\/latex]\r\n[reveal-answer q=\"706679\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"706679\"]1.975[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                    12. [latex]\\Large\\frac{2}{3}\\normalsize\\left(14.65 - 4.6\\right)[\/latex]<\/li>\r\n<\/ol>\r\n \r\n\r\nIn the following exercises, solve.\r\n
                                                                                                                                                                        \r\n \t
                                                                                                                                                                      1. [latex]m+3.7=2.5[\/latex]\r\n[reveal-answer q=\"810140\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"810140\"]\u22121.2[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                      2. [latex]\\Large\\frac{h}{0.5}\\normalsize =4.38[\/latex]<\/li>\r\n \t
                                                                                                                                                                      3. [latex]-6.5y=-57.2[\/latex]\r\n[reveal-answer q=\"76654\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"76654\"]8.8[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                      4. [latex]1.94=a - 2.6[\/latex]<\/li>\r\n \t
                                                                                                                                                                      5. Three friends went out to dinner and agreed to split the bill evenly. The bill was [latex]{$79.35}[\/latex]. How much should each person pay?\r\n[reveal-answer q=\"159619\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"159619\"]$26.45[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                      6. A circle has radius [latex]12[\/latex]. Find the \u24d0 circumference and \u24d1 area. [latex]\\text{[}\\text{Use}3.14\\text{for}\\pi \\text{.]}[\/latex]<\/li>\r\n \t
                                                                                                                                                                      7. The ages, in months, of [latex]10[\/latex] children in a preschool class are:[latex]55[\/latex] , [latex]55[\/latex] , [latex]50[\/latex] , [latex]51[\/latex] , [latex]52[\/latex] , [latex]50[\/latex] , [latex]53[\/latex] , [latex]51[\/latex] , [latex]55[\/latex] , [latex]49[\/latex]Find the \u24d0 mean \u24d1 median \u24d2 mode[reveal-answer q=\"980029\"]Show Solution[\/reveal-answer][hidden-answer a=\"980029\"]\u24d0 59 \u24d1 51.5 \u24d2 55[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                      8. Of the [latex]16[\/latex] nurses in Doreen\u2019s department, [latex]12[\/latex] are women and [latex]4[\/latex] are men. One of the nurses will be assigned at random to work an extra shift next week. \u24d0 Find the probability a woman nurse will be assigned the extra shift. \u24d1 Convert the fraction to a decimal.<\/li>\r\n<\/ol>\r\nFind each unit price and then the better buy.<\/strong>\r\n\r\nLaundry detergent: [latex]64[\/latex] ounces for [latex]{$10.99}[\/latex] or [latex]48[\/latex] ounces for [latex]{$8.49}[\/latex]\r\n[reveal-answer q=\"425675\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"425675\"]64 ounces for $10.99 is the better buy[\/hidden-answer]\r\n\r\n \r\n\r\nIn the following exercises, simplify.\r\n
                                                                                                                                                                          \r\n \t
                                                                                                                                                                        1. [latex]\\sqrt{36+64}[\/latex]<\/li>\r\n \t
                                                                                                                                                                        2. [latex]\\sqrt{144{n}^{2}}[\/latex]\r\n[reveal-answer q=\"44970\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"44970\"]12n[\/hidden-answer]<\/li>\r\n \t
                                                                                                                                                                        3. Estimate [latex]\\sqrt{54}[\/latex] to between two whole numbers.<\/li>\r\n \t
                                                                                                                                                                        4. Yanet wants a square patio in her backyard. She has [latex]225[\/latex] square feet of tile. How long can a side of the patio be?\r\n[reveal-answer q=\"546060\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"546060\"]15 feet[\/hidden-answer]<\/li>\r\n<\/ol>\r\n \r\n\r\n<\/div>\r\n ","rendered":"

                                                                                                                                                                          Writing and Identifying Characteristics of Decimals<\/h2>\n

                                                                                                                                                                          Name Decimals<\/h3>\n

                                                                                                                                                                          In the following exercises, name each decimal.<\/p>\n

                                                                                                                                                                            \n
                                                                                                                                                                          1. [latex]5.5[\/latex]\n
                                                                                                                                                                            Show Solution<\/span><\/p>\n
                                                                                                                                                                            five and five tenths<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                          2. [latex]7.8[\/latex]<\/li>\n
                                                                                                                                                                          3. [latex]5.01[\/latex]\n
                                                                                                                                                                            Show Solution<\/span><\/p>\n
                                                                                                                                                                            five and one hundredth<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                          4. [latex]14.02[\/latex]<\/li>\n
                                                                                                                                                                          5. [latex]8.71[\/latex]\n
                                                                                                                                                                            Show Solution<\/span><\/p>\n
                                                                                                                                                                            eight and seventy-one hundredths<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                          6. [latex]2.64[\/latex]<\/li>\n
                                                                                                                                                                          7. [latex]0.002[\/latex]\n
                                                                                                                                                                            Show Solution<\/span><\/p>\n
                                                                                                                                                                            two thousandths<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                          8. [latex]0.005[\/latex]<\/li>\n
                                                                                                                                                                          9. [latex]0.381[\/latex]\n
                                                                                                                                                                            Show Solution<\/span><\/p>\n
                                                                                                                                                                            three hundred eighty-one thousandths<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                          10. [latex]0.479[\/latex]<\/li>\n
                                                                                                                                                                          11. [latex]-17.9[\/latex]\n
                                                                                                                                                                            Show Solution<\/span><\/p>\n
                                                                                                                                                                            negative seventeen and nine tenths<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                          12. [latex]-31.4[\/latex]<\/li>\n<\/ol>\n

                                                                                                                                                                            Write Decimals<\/h3>\n

                                                                                                                                                                            In the following exercises, translate the name into a decimal number.<\/p>\n

                                                                                                                                                                              \n
                                                                                                                                                                            1. Eight and three hundredths\n
                                                                                                                                                                              Show Solution<\/span><\/p>\n
                                                                                                                                                                              8.03<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                            2. Nine and seven hundredths<\/li>\n
                                                                                                                                                                            3. Twenty-nine and eighty-one hundredths\n
                                                                                                                                                                              Show Solution<\/span><\/p>\n
                                                                                                                                                                              29.81<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                            4. Sixty-one and seventy-four hundredths<\/li>\n
                                                                                                                                                                            5. Seven tenths\n
                                                                                                                                                                              Show Solution<\/span><\/p>\n
                                                                                                                                                                              0.7<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                            6. Six tenths<\/li>\n
                                                                                                                                                                            7. One thousandth\n
                                                                                                                                                                              Show Solution<\/span><\/p>\n
                                                                                                                                                                              0.001<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                            8. Nine thousandths<\/li>\n
                                                                                                                                                                            9. Twenty-nine thousandths\n
                                                                                                                                                                              Show Solution<\/span><\/p>\n
                                                                                                                                                                              0.029<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                            10. Thirty-five thousandths<\/li>\n
                                                                                                                                                                            11. Negative eleven and nine ten-thousandths\n
                                                                                                                                                                              Show Solution<\/span><\/p>\n
                                                                                                                                                                              \u221211.0009<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                            12. Negative fifty-nine and two ten-thousandths<\/li>\n
                                                                                                                                                                            13. Thirteen and three hundred ninety-five ten thousandths\n
                                                                                                                                                                              Show Solution<\/span><\/p>\n
                                                                                                                                                                              13.0395<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                            14. Thirty and two hundred seventy-nine thousandths<\/li>\n<\/ol>\n

                                                                                                                                                                              Convert Decimals to Fractions or Mixed Numbers<\/h3>\n

                                                                                                                                                                              In the following exercises, convert each decimal to a fraction or mixed number.<\/p>\n

                                                                                                                                                                                \n
                                                                                                                                                                              1. [latex]1.99[\/latex]\n
                                                                                                                                                                                Show Solution<\/span><\/p>\n
                                                                                                                                                                                [latex]1\\Large\\frac{99}{100}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                              2. [latex]5.83[\/latex]<\/li>\n
                                                                                                                                                                              3. [latex]15.7[\/latex]\n
                                                                                                                                                                                Show Solution<\/span><\/p>\n
                                                                                                                                                                                [latex]15\\Large\\frac{7}{10}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                              4. [latex]18.1[\/latex]<\/li>\n
                                                                                                                                                                              5. [latex]0.239[\/latex]\n
                                                                                                                                                                                Show Solution<\/span><\/p>\n
                                                                                                                                                                                [latex]\\Large\\frac{239}{1000}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                              6. [latex]0.373[\/latex]<\/li>\n
                                                                                                                                                                              7. [latex]0.13[\/latex]\n
                                                                                                                                                                                Show Solution<\/span><\/p>\n
                                                                                                                                                                                [latex]\\Large\\frac{13}{100}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                              8. [latex]0.19[\/latex]<\/li>\n
                                                                                                                                                                              9. [latex]0.011[\/latex]\n
                                                                                                                                                                                Show Solution<\/span><\/p>\n
                                                                                                                                                                                [latex]\\Large\\frac{11}{1000}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                              10. [latex]0.049[\/latex]<\/li>\n
                                                                                                                                                                              11. [latex]-0.00007[\/latex]\n
                                                                                                                                                                                Show Solution<\/span><\/p>\n
                                                                                                                                                                                [latex]-\\Large\\frac{7}{100000}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                              12. [latex]-0.00003[\/latex]<\/li>\n
                                                                                                                                                                              13. [latex]6.4[\/latex]\n
                                                                                                                                                                                Show Solution<\/span><\/p>\n
                                                                                                                                                                                [latex]6\\Large\\frac{2}{5}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                              14. [latex]5.2[\/latex]<\/li>\n
                                                                                                                                                                              15. [latex]7.05[\/latex]\n
                                                                                                                                                                                Show Solution<\/span><\/p>\n
                                                                                                                                                                                [latex]7\\Large\\frac{1}{20}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                              16. [latex]9.04[\/latex]<\/li>\n
                                                                                                                                                                              17. [latex]4.006[\/latex]\n
                                                                                                                                                                                Show Solution<\/span><\/p>\n
                                                                                                                                                                                [latex]4\\Large\\frac{3}{500}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                              18. [latex]2.008[\/latex]<\/li>\n
                                                                                                                                                                              19. [latex]10.25[\/latex]\n
                                                                                                                                                                                Show Solution<\/span><\/p>\n
                                                                                                                                                                                [latex]10\\Large\\frac{1}{4}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                              20. [latex]12.75[\/latex]<\/li>\n
                                                                                                                                                                              21. [latex]1.324[\/latex]\n
                                                                                                                                                                                Show Solution<\/span><\/p>\n
                                                                                                                                                                                [latex]1\\Large\\frac{81}{250}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                              22. [latex]2.482[\/latex]<\/li>\n
                                                                                                                                                                              23. [latex]14.125[\/latex]\n
                                                                                                                                                                                Show Solution<\/span><\/p>\n
                                                                                                                                                                                [latex]14\\Large\\frac{1}{8}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                              24. [latex]20.375[\/latex]<\/li>\n<\/ol>\n

                                                                                                                                                                                Locate Decimals on the Number Line<\/h3>\n

                                                                                                                                                                                In the following exercises, locate each number on a number line.<\/p>\n

                                                                                                                                                                                  \n
                                                                                                                                                                                1. [latex]0.8[\/latex]\n
                                                                                                                                                                                  Show Solution<\/span><\/p>\n
                                                                                                                                                                                  \"There <\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                2. [latex]0.3[\/latex]<\/li>\n
                                                                                                                                                                                3. [latex]-0.2[\/latex]\n
                                                                                                                                                                                  Show Solution<\/span><\/p>\n
                                                                                                                                                                                  \"There<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                4. [latex]-0.9[\/latex]<\/li>\n
                                                                                                                                                                                5. [latex]3.1[\/latex]\n
                                                                                                                                                                                  Show Solution<\/span><\/p>\n
                                                                                                                                                                                  \"This<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                6. [latex]2.7[\/latex]<\/li>\n
                                                                                                                                                                                7. [latex]-2.5[\/latex]\n
                                                                                                                                                                                  Show Solution<\/span><\/p>\n
                                                                                                                                                                                  \"There <\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                8. [latex]-1.6[\/latex]<\/li>\n<\/ol>\n

                                                                                                                                                                                  Order Decimals<\/h3>\n

                                                                                                                                                                                  In the following exercises, order each of the following pairs of numbers, using [latex]<\\text{or}>[\/latex];.\n\n\n

                                                                                                                                                                                    \n
                                                                                                                                                                                  1. [latex]0.9\\text{__}0.6[\/latex]\n
                                                                                                                                                                                    Show Solution<\/span><\/p>\n
                                                                                                                                                                                    ><\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                  2. [latex]0.7\\text{__}0.8[\/latex]<\/li>\n
                                                                                                                                                                                  3. [latex]0.37\\text{__}0.63[\/latex]\n
                                                                                                                                                                                    Show Solution<\/span><\/p>\n
                                                                                                                                                                                    <<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                  4. [latex]0.86\\text{__}0.69[\/latex]<\/li>\n
                                                                                                                                                                                  5. [latex]0.6\\text{__}0.59[\/latex]\n
                                                                                                                                                                                    Show Solution<\/span><\/p>\n
                                                                                                                                                                                    ><\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                  6. [latex]0.27\\text{__}0.3[\/latex]<\/li>\n
                                                                                                                                                                                  7. [latex]0.91\\text{__}0.901[\/latex]\n
                                                                                                                                                                                    Show Solution<\/span><\/p>\n
                                                                                                                                                                                    ><\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                  8. [latex]0.415\\text{__}0.41[\/latex]<\/li>\n
                                                                                                                                                                                  9. [latex]-0.5\\text{__} - 0.3[\/latex]\n
                                                                                                                                                                                    Show Solution<\/span><\/p>\n
                                                                                                                                                                                    <<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                  10. [latex]-0.1\\text{__} - 0.4[\/latex]<\/li>\n
                                                                                                                                                                                  11. [latex]-0.62\\text{__} - 0.619[\/latex]\n
                                                                                                                                                                                    Show Solution<\/span><\/p>\n
                                                                                                                                                                                    <<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                  12. [latex]-7.31\\text{__} - 7.3[\/latex]<\/li>\n<\/ol>\n

                                                                                                                                                                                    Round Decimals<\/h3>\n

                                                                                                                                                                                    In the following exercises, round each number to the nearest tenth.<\/p>\n

                                                                                                                                                                                      \n
                                                                                                                                                                                    1. [latex]0.67[\/latex]\n
                                                                                                                                                                                      Show Solution<\/span><\/p>\n
                                                                                                                                                                                      0.7<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                    2. [latex]0.49[\/latex]<\/li>\n
                                                                                                                                                                                    3. [latex]2.84[\/latex]\n
                                                                                                                                                                                      Show Solution<\/span><\/p>\n
                                                                                                                                                                                      2.8<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                    4. [latex]4.63[\/latex]<\/li>\n<\/ol>\n

                                                                                                                                                                                      In the following exercises, round each number to the nearest hundredth.<\/p>\n

                                                                                                                                                                                        \n
                                                                                                                                                                                      1. [latex]0.845[\/latex]\n
                                                                                                                                                                                        Show Solution<\/span><\/p>\n
                                                                                                                                                                                        0.85<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                      2. [latex]0.761[\/latex]<\/li>\n
                                                                                                                                                                                      3. [latex]5.7932[\/latex]\n
                                                                                                                                                                                        Show Solution<\/span><\/p>\n
                                                                                                                                                                                        5.79<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                      4. [latex]3.6284[\/latex]<\/li>\n
                                                                                                                                                                                      5. [latex]0.299[\/latex]\n
                                                                                                                                                                                        Show Solution<\/span><\/p>\n
                                                                                                                                                                                        0.30<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                      6. [latex]0.697[\/latex]<\/li>\n
                                                                                                                                                                                      7. [latex]4.098[\/latex]\n
                                                                                                                                                                                        Show Solution<\/span><\/p>\n
                                                                                                                                                                                        4.10<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                      8. [latex]7.096[\/latex]<\/li>\n<\/ol>\n

                                                                                                                                                                                        In the following exercises, round each number to the nearest \u24d0 hundredth \u24d1 tenth \u24d2 whole number.<\/p>\n

                                                                                                                                                                                          \n
                                                                                                                                                                                        1. [latex]5.781[\/latex]\n
                                                                                                                                                                                          Show Solution<\/span><\/p>\n
                                                                                                                                                                                          \u24d0 5.78 \u24d1 5.8 \u24d2 6<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                        2. [latex]1.638[\/latex]<\/li>\n
                                                                                                                                                                                        3. [latex]63.479[\/latex]\n
                                                                                                                                                                                          Show Solution<\/span><\/p>\n
                                                                                                                                                                                          \u24d0 63.48 \u24d1 63.5 \u24d2 63<\/div>\n<\/div>\n<\/li>\n
                                                                                                                                                                                        4. [latex]84.281[\/latex]<\/li>\n<\/ol>\n
                                                                                                                                                                                          \n

                                                                                                                                                                                          Exercises<\/h3>\n

                                                                                                                                                                                          Everyday Math<\/h2>\n

                                                                                                                                                                                          Salary Increase<\/h4>\n

                                                                                                                                                                                          Danny got a raise and now makes [latex]{$58,965.95}[\/latex] a year. Round this number to the nearest:
                                                                                                                                                                                          \n\u24d0 dollar
                                                                                                                                                                                          \n\u24d1 thousand dollars
                                                                                                                                                                                          \n\u24d2 ten thousand dollars.<\/p>\n

                                                                                                                                                                                          Show Solution<\/span><\/p>\n
                                                                                                                                                                                          \u24d0 $58,966 \u24d1 $59,000 \u24d2 $60,000<\/div>\n<\/div>\n

                                                                                                                                                                                          New Car Purchase<\/h4>\n

                                                                                                                                                                                          Selena\u2019s new car cost [latex]{$23,795.95}[\/latex]. Round this number to the nearest:<\/p>\n

                                                                                                                                                                                            \n
                                                                                                                                                                                          1. \u00a0dollar<\/li>\n
                                                                                                                                                                                          2. thousand dollars<\/li>\n
                                                                                                                                                                                          3. ten thousand dollars.<\/li>\n<\/ol>\n

                                                                                                                                                                                            Sales Tax<\/h4>\n

                                                                                                                                                                                            Hyo Jin lives in San Diego. She bought a refrigerator for [latex]{$1624.99}[\/latex] and when the clerk calculated the sales tax it came out to exactly [latex]{$142.186625}[\/latex]. Round the sales tax to the nearest \u24d0 penny \u24d1 dollar.<\/p>\n

                                                                                                                                                                                            Show Solution<\/span><\/p>\n
                                                                                                                                                                                            \u24d0 $142.19 \u24d1 $142<\/div>\n<\/div>\n

                                                                                                                                                                                            Sales Tax<\/h4>\n

                                                                                                                                                                                            Jennifer bought a [latex]{$1,038.99}[\/latex] dining room set for her home in Cincinnati. She calculated the sales tax to be exactly [latex]{$67.53435}[\/latex]. Round the sales tax to the nearest \u24d0 penny \u24d1 dollar.<\/p>\n<\/div>\n

                                                                                                                                                                                            \n

                                                                                                                                                                                            Writing Exercises<\/h3>\n

                                                                                                                                                                                            How does your knowledge of money help you learn about decimals<\/p>\n