{"id":4598,"date":"2020-04-21T00:19:05","date_gmt":"2020-04-21T00:19:05","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/chapter\/subtracting-whole-numbers-the-inverse-operation-of-addition\/"},"modified":"2025-09-02T23:01:55","modified_gmt":"2025-09-02T23:01:55","slug":"subtracting-whole-numbers-the-inverse-operation-of-addition","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/chapter\/subtracting-whole-numbers-the-inverse-operation-of-addition\/","title":{"raw":"Subtracting Whole Numbers: The Inverse Operation of Addition","rendered":"Subtracting Whole Numbers: The Inverse Operation of Addition"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Subtract single-digit numbers and check the solution using addition<\/li>\r\n \t<li>Use columns representing place value to subtract multiple-digit numbers<\/li>\r\n<\/ul>\r\n<\/div>\r\n&nbsp;\r\n<h2>Subtract Whole Numbers<\/h2>\r\nAddition and subtraction are inverse operations. Addition undoes subtraction, and subtraction undoes addition.\r\nWe know [latex]7 - 3=4[\/latex] because [latex]4+3=7[\/latex]. Knowing all the addition number facts will help with subtraction. Then we can check subtraction by adding. In the examples above, our subtractions can be checked by addition.\r\n<table class=\"unnumbered unstyled\" summary=\"This image consists of there columns\">\r\n<tbody>\r\n<tr>\r\n<td>[latex]7-3=4[\/latex]<\/td>\r\n<td>because<\/td>\r\n<td>[latex]4+3=7[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]13-8=5[\/latex]<\/td>\r\n<td>because<\/td>\r\n<td>[latex]5+8=13[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]43-26=17[\/latex]<\/td>\r\n<td>because<\/td>\r\n<td>[latex]17+26=43[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nSubtract and then check by adding:\r\n<ul>\r\n \t<li>[latex]9 - 7[\/latex]<\/li>\r\n \t<li>[latex]8 - 3[\/latex]<\/li>\r\n<\/ul>\r\nSolution\r\n<table id=\"eip-id1168287570371\" class=\"unnumbered unstyled\" summary=\"a\">\r\n<tbody>\r\n<tr>\r\n<td>1.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]9 - 7[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Subtract 7 from 9.<\/td>\r\n<td>[latex]2[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check with addition.\r\n[latex]2+7=9\\quad\\checkmark [\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table id=\"eip-id1168288181719\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>2.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]8 - 3[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Subtract 3 from 8.<\/td>\r\n<td>[latex]5[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check with addition.\r\n[latex]5+3=8\\quad\\checkmark [\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n&nbsp;\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>TRY\u00a0IT<\/h3>\r\n[ohm_question hide_question_numbers=1]143321[\/ohm_question]\r\n\r\n<\/div>\r\nTo subtract numbers with more than one digit, it is usually easier to write the numbers vertically in columns just as we did for addition. Align the digits by place value, and then subtract each column starting with the ones and then working to the left.\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nSubtract and then check by adding: [latex]89 - 61[\/latex].\r\n[reveal-answer q=\"656368\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"656368\"]\r\n\r\nSolution\r\n<table id=\"eip-458\" class=\"unnumbered unstyled\" summary=\"a\">\r\n<tbody>\r\n<tr>\r\n<td>Write the numbers so the ones and tens digits line up vertically.<\/td>\r\n<td>[latex]\\begin{array}{c}\\hfill 89\\\\ \\hfill \\underset{\\text{____}}{-61}\\end{array}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Subtract the digits in each place value.Subtract the ones: [latex]9 - 1=8[\/latex]\r\n\r\nSubtract the tens: [latex]8 - 6=2[\/latex]<\/td>\r\n<td>[latex]\\begin{array}{c}\\hfill 89\\\\ \\hfill \\underset{\\text{____}}{-61}\\\\ \\hfill 28\\end{array}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check using addition.[latex]\\begin{array}{c}\\hfill 28\\\\ \\hfill \\underset{\\text{____}}{+61}\\\\ \\hfill 89\\end{array}\\quad\\checkmark[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nOur answer is correct.\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>TRY\u00a0IT<\/h3>\r\n[ohm_question hide_question_numbers=1]143322[\/ohm_question]\r\n\r\n<\/div>\r\n&nbsp;\r\n\r\nWhen we modeled subtracting [latex]26[\/latex] from [latex]43[\/latex], we exchanged [latex]1[\/latex] ten for [latex]10[\/latex] ones. When we do this without the model, we say we borrow [latex]1[\/latex] from the tens place and add [latex]10[\/latex] to the ones place.\r\n<div class=\"textbox shaded\">\r\n<h3>Find the difference of whole numbers<\/h3>\r\n<ol id=\"eip-id1168289617573\" class=\"stepwise\">\r\n \t<li>Write the numbers so each place value lines up vertically.<\/li>\r\n \t<li>Subtract the digits in each place value. Work from right to left starting with the ones place. If the digit on top is less than the digit below, borrow as needed.<\/li>\r\n \t<li>Continue subtracting each place value from right to left, borrowing if needed.<\/li>\r\n \t<li>Check by adding.<\/li>\r\n<\/ol>\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox exercises\">\r\n<h3>excercise<\/h3>\r\nSubtract: [latex]43 - 26[\/latex].\r\n[reveal-answer q=\"491725\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"491725\"]\r\n\r\nSolution\r\n<table id=\"eip-640\" class=\"unnumbered unstyled\" style=\"width: 915px;\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 587.944px;\">Write the numbers so each place value lines up vertically.<\/td>\r\n<td style=\"width: 306.056px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215443\/CNX_BMath_Figure_01_03_029_img-01.png\" alt=\"..\" width=\"94\" height=\"56\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 587.944px;\">Subtract the ones. We cannot subtract [latex]6[\/latex] from [latex]3[\/latex], so we borrow [latex]1[\/latex] ten. This makes [latex]3[\/latex] tens and [latex]13[\/latex] ones. We write these numbers above each place and cross out the original digits.<\/td>\r\n<td style=\"width: 306.056px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215444\/CNX_BMath_Figure_01_03_029_img-02.png\" alt=\"..\" width=\"92\" height=\"73\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 587.944px;\">Now we can subtract the ones. [latex]13 - 6=7[\/latex]. We write the [latex]7[\/latex] in the ones place in the difference.<\/td>\r\n<td style=\"width: 306.056px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215445\/CNX_BMath_Figure_01_03_029_img-03.png\" alt=\"..\" width=\"90\" height=\"102\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 587.944px;\">Now we subtract the tens. [latex]3 - 2=1[\/latex]. We write the[latex]1[\/latex] in the tens place in the difference.<\/td>\r\n<td style=\"width: 306.056px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215445\/CNX_BMath_Figure_01_03_029_img-04.png\" alt=\"..\" width=\"89\" height=\"101\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 587.944px;\">Check by adding.<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215446\/CNX_BMath_Figure_01_03_029_img-05.png\" alt=\"..\" width=\"94\" height=\"88\" \/>\r\n\r\nOur answer is correct.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question hide_question_numbers=1]143327[\/ohm_question]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nSubtract and then check by adding: [latex]207 - 64[\/latex].\r\n[reveal-answer q=\"125839\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"125839\"]\r\n\r\nSolution\r\n<table id=\"eip-274\" class=\"unnumbered unstyled\" style=\"width: 913px;\" summary=\"a\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 593.059px;\">Write the numbers so each place value lines up vertically.<\/td>\r\n<td style=\"width: 299.941px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215447\/CNX_BMath_Figure_01_03_030-01.png\" alt=\"..\" width=\"108\" height=\"59\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 593.059px;\">Subtract the ones. [latex]7 - 4=3[\/latex].Write the [latex]3[\/latex] in the ones place in the difference. Write the [latex]3[\/latex] in the ones place in the difference.<\/td>\r\n<td style=\"width: 299.941px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215448\/CNX_BMath_Figure_01_03_030-02.png\" alt=\"..\" width=\"109\" height=\"99\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 593.059px;\">Subtract the tens. We cannot subtract [latex]6[\/latex] from [latex]0[\/latex] so we borrow [latex]1[\/latex] hundred and add [latex]10[\/latex] tens to the [latex]0[\/latex] tens we had. This makes a total of [latex]10[\/latex] tens. We write [latex]10[\/latex] above the tens place and cross out the [latex]0[\/latex]. Then we cross out the [latex]2[\/latex] in the hundreds place and write [latex]1[\/latex] above it.<\/td>\r\n<td style=\"width: 299.941px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215449\/CNX_BMath_Figure_01_03_030-03.png\" alt=\"..\" width=\"108\" height=\"113\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 593.059px;\">Now we subtract the tens. [latex]10 - 6=4[\/latex]. We write the 4 in the tens place in the difference.<\/td>\r\n<td style=\"width: 299.941px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215450\/CNX_BMath_Figure_01_03_030-04.png\" alt=\"..\" width=\"109\" height=\"114\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 593.059px;\">Finally, subtract the hundreds. There is no digit in the hundreds place in the bottom number so we can imagine a [latex]0[\/latex] in that place. Since [latex]1 - 0=1[\/latex], we write [latex]1[\/latex] in the hundreds place in the difference.<\/td>\r\n<td style=\"width: 299.941px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215451\/CNX_BMath_Figure_01_03_030-05.png\" alt=\"..\" width=\"111\" height=\"116\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 593.059px;\">Check by adding.<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215451\/CNX_BMath_Figure_01_03_030-06.png\" alt=\"..\" width=\"106\" height=\"111\" \/>\r\n\r\nOur answer is correct.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\nSubtract and then check by adding: [latex]439 - 52[\/latex].\r\n[reveal-answer q=\"94170\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"94170\"][latex]439 \u2212 52 = 387[\/latex] because [latex]387 + 52 = 439\\quad\\checkmark[\/latex][\/hidden-answer]\r\n\r\n&nbsp;\r\n\r\nSubtract and then check by adding: [latex]318 - 75[\/latex].\r\n[reveal-answer q=\"176277\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"176277\"][latex]318 \u2212 75 = 243[\/latex] because [latex]243 + 75 = 318\\quad\\checkmark[\/latex][\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nSubtract and then check by adding: [latex]910 - 586[\/latex].\r\n[reveal-answer q=\"94423\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"94423\"]\r\n\r\nSolution\r\n<table id=\"eip-537\" class=\"unnumbered unstyled\" style=\"width: 917px;\" summary=\"a\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 593.569px;\">Write the numbers so each place value lines up vertically.<\/td>\r\n<td style=\"width: 301.431px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215452\/CNX_BMath_Figure_01_03_031-01.png\" alt=\"..\" width=\"105\" height=\"66\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 593.569px;\">Subtract the ones. We cannot subtract [latex]6[\/latex] from [latex]0[\/latex], so we borrow [latex]1[\/latex] ten and add [latex]10[\/latex] ones to the [latex]10[\/latex] ones we had. This makes [latex]10[\/latex] ones. We write a [latex]0[\/latex] above the tens place and cross out the [latex]1[\/latex]. We write the [latex]10[\/latex] above the ones place and cross out the [latex]0[\/latex]. Now we can subtract the ones. [latex]10 - 6=4[\/latex].<\/td>\r\n<td style=\"width: 301.431px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215453\/CNX_BMath_Figure_01_03_031-02.png\" alt=\"..\" width=\"116\" height=\"70\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 593.569px;\">Write the 4 in the ones place of the difference.<\/td>\r\n<td style=\"width: 301.431px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215454\/CNX_BMath_Figure_01_03_031-03.png\" alt=\"..\" width=\"117\" height=\"104\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 593.569px;\">Subtract the tens. We cannot subtract [latex]8[\/latex] from [latex]0[\/latex], so we borrow [latex]1[\/latex] hundred and add [latex]10[\/latex] tens to the [latex]0[\/latex] tens we had, which gives us [latex]10[\/latex] tens. Write [latex]8[\/latex] above the hundreds place and cross out the [latex]9[\/latex]. Write [latex]10[\/latex] above the tens place.<\/td>\r\n<td style=\"width: 301.431px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215455\/CNX_BMath_Figure_01_03_031-04.png\" alt=\"..\" width=\"119\" height=\"106\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 593.569px;\">Now we can subtract the tens. [latex]10 - 8=2[\/latex] .<\/td>\r\n<td style=\"width: 301.431px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215456\/CNX_BMath_Figure_01_03_031-05.png\" alt=\"..\" width=\"118\" height=\"105\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 593.569px;\">Subtract the hundreds place. [latex]8 - 5=3[\/latex] Write the [latex]3[\/latex] in the hundreds place in the difference.<\/td>\r\n<td style=\"width: 301.431px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215457\/CNX_BMath_Figure_01_03_031-06.png\" alt=\"..\" width=\"114\" height=\"102\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 593.569px;\">Check by adding.<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215457\/CNX_BMath_Figure_01_03_031-07.png\" alt=\"...\" width=\"113\" height=\"95\" \/>\r\n\r\nOur answer is correct.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question hide_question_numbers=1]143341[\/ohm_question]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nSubtract and then check by adding: [latex]2,162 - 479[\/latex].\r\n[reveal-answer q=\"61197\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"61197\"]\r\n\r\nSolution\r\n<table id=\"eip-7544534\" class=\"unnumbered unstyled\" style=\"width: 917px;\" summary=\"This image is two columns. The left column includes annotations and the right column includes math expressions. The first line reads \">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 697.014px;\">Write the numbers so each place values line up vertically.<\/td>\r\n<td style=\"width: 196.986px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215458\/CNX_BMath_Figure_01_03_028_img-02.png\" alt=\"CNX_BMath_Figure_01_03_028_img-02.png\" width=\"103\" height=\"66\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 697.014px;\">Subtract the ones. Since we cannot subtract [latex]9[\/latex] from [latex]2[\/latex], borrow [latex]1[\/latex] ten and add [latex]10[\/latex] ones to the [latex]2[\/latex] ones to make [latex]12[\/latex] ones. Write [latex]5[\/latex] above the tens place and cross out the [latex]6[\/latex]. Write [latex]12[\/latex] above the ones place and cross out the [latex]2[\/latex].<\/td>\r\n<td style=\"width: 196.986px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215459\/CNX_BMath_Figure_01_03_028_img-03.png\" alt=\"CNX_BMath_Figure_01_03_028_img-03.png\" width=\"100\" height=\"83\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 697.014px;\">Now we can subtract the ones.<\/td>\r\n<td style=\"width: 196.986px;\">[latex]12 - 9=3[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 697.014px;\">Write [latex]3[\/latex] in the ones place in the difference.<\/td>\r\n<td style=\"width: 196.986px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215500\/CNX_BMath_Figure_01_03_028_img-04.png\" alt=\"CNX_BMath_Figure_01_03_028_img-04.png\" width=\"102\" height=\"122\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 697.014px;\">Subtract the tens. Since we cannot subtract [latex]7[\/latex] from [latex]5[\/latex], borrow [latex]1[\/latex] hundred and add [latex]10[\/latex] tens to the [latex]5[\/latex] tens to make [latex]15[\/latex] tens. Write [latex]0[\/latex] above the hundreds place and cross out the [latex]1[\/latex]. Write [latex]15[\/latex] above the tens place.<\/td>\r\n<td style=\"width: 196.986px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215501\/CNX_BMath_Figure_01_03_028_img-05.png\" alt=\"CNX_BMath_Figure_01_03_028_img-06.png\" width=\"98\" height=\"140\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 697.014px;\">Now we can subtract the tens.<\/td>\r\n<td style=\"width: 196.986px;\">[latex]15 - 7=8[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 697.014px;\">Write [latex]8[\/latex] in the tens place in the difference.<\/td>\r\n<td style=\"width: 196.986px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215502\/CNX_BMath_Figure_01_03_028_img-06.png\" alt=\"CNX_BMath_Figure_01_03_028_img-05.png\" width=\"97\" height=\"116\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 697.014px;\">Now we can subtract the hundreds.<\/td>\r\n<td style=\"width: 196.986px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215503\/CNX_BMath_Figure_01_03_028_img-07.png\" alt=\"CNX_BMath_Figure_01_03_028_img-07.png\" width=\"101\" height=\"144\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 697.014px;\">Write [latex]6[\/latex] in the hundreds place in the difference.<\/td>\r\n<td style=\"width: 196.986px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215504\/CNX_BMath_Figure_01_03_028_img-08.png\" alt=\"CNX_BMath_Figure_01_03_028_img-08.png\" width=\"102\" height=\"119\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 697.014px;\">Subtract the thousands. There is no digit in the thousands place of the bottom number, so we imagine a [latex]0[\/latex]. [latex]1 - 0=1[\/latex]. Write [latex]1[\/latex] in the thousands place of the difference.<\/td>\r\n<td style=\"width: 196.986px;\"><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215505\/CNX_BMath_Figure_01_03_028_img-09.png\" alt=\"CNX_BMath_Figure_01_03_028_img-09.png\" width=\"102\" height=\"122\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 697.014px;\">Check by adding.[latex]\\begin{array}{}\\\\ \\stackrel{1}{1},\\stackrel{1}{6}\\stackrel{1}{8}3\\hfill \\\\ \\underset{\\text{______}}{+479}\\hfill \\\\ 2,162\\quad\\checkmark \\hfill \\end{array}\\quad\\checkmark[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nOur answer is correct.\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question hide_question_numbers=1]143343[\/ohm_question]\r\n\r\n<\/div>\r\n&nbsp;\r\n\r\nWatch the video below to see another example of subtracting whole numbers by lining up place values.\r\nhttps:\/\/youtu.be\/hneqy1EGACs","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Subtract single-digit numbers and check the solution using addition<\/li>\n<li>Use columns representing place value to subtract multiple-digit numbers<\/li>\n<\/ul>\n<\/div>\n<p>&nbsp;<\/p>\n<h2>Subtract Whole Numbers<\/h2>\n<p>Addition and subtraction are inverse operations. Addition undoes subtraction, and subtraction undoes addition.<br \/>\nWe know [latex]7 - 3=4[\/latex] because [latex]4+3=7[\/latex]. Knowing all the addition number facts will help with subtraction. Then we can check subtraction by adding. In the examples above, our subtractions can be checked by addition.<\/p>\n<table class=\"unnumbered unstyled\" summary=\"This image consists of there columns\">\n<tbody>\n<tr>\n<td>[latex]7-3=4[\/latex]<\/td>\n<td>because<\/td>\n<td>[latex]4+3=7[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]13-8=5[\/latex]<\/td>\n<td>because<\/td>\n<td>[latex]5+8=13[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]43-26=17[\/latex]<\/td>\n<td>because<\/td>\n<td>[latex]17+26=43[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Subtract and then check by adding:<\/p>\n<ul>\n<li>[latex]9 - 7[\/latex]<\/li>\n<li>[latex]8 - 3[\/latex]<\/li>\n<\/ul>\n<p>Solution<\/p>\n<table id=\"eip-id1168287570371\" class=\"unnumbered unstyled\" summary=\"a\">\n<tbody>\n<tr>\n<td>1.<\/td>\n<\/tr>\n<tr>\n<td>[latex]9 - 7[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Subtract 7 from 9.<\/td>\n<td>[latex]2[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check with addition.<br \/>\n[latex]2+7=9\\quad\\checkmark[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168288181719\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td>2.<\/td>\n<\/tr>\n<tr>\n<td>[latex]8 - 3[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Subtract 3 from 8.<\/td>\n<td>[latex]5[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check with addition.<br \/>\n[latex]5+3=8\\quad\\checkmark[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>TRY\u00a0IT<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm143321\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=143321&theme=oea&iframe_resize_id=ohm143321\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>To subtract numbers with more than one digit, it is usually easier to write the numbers vertically in columns just as we did for addition. Align the digits by place value, and then subtract each column starting with the ones and then working to the left.<\/p>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Subtract and then check by adding: [latex]89 - 61[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q656368\">Show Solution<\/span><\/p>\n<div id=\"q656368\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-458\" class=\"unnumbered unstyled\" summary=\"a\">\n<tbody>\n<tr>\n<td>Write the numbers so the ones and tens digits line up vertically.<\/td>\n<td>[latex]\\begin{array}{c}\\hfill 89\\\\ \\hfill \\underset{\\text{____}}{-61}\\end{array}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Subtract the digits in each place value.Subtract the ones: [latex]9 - 1=8[\/latex]<\/p>\n<p>Subtract the tens: [latex]8 - 6=2[\/latex]<\/td>\n<td>[latex]\\begin{array}{c}\\hfill 89\\\\ \\hfill \\underset{\\text{____}}{-61}\\\\ \\hfill 28\\end{array}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check using addition.[latex]\\begin{array}{c}\\hfill 28\\\\ \\hfill \\underset{\\text{____}}{+61}\\\\ \\hfill 89\\end{array}\\quad\\checkmark[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Our answer is correct.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>TRY\u00a0IT<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm143322\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=143322&theme=oea&iframe_resize_id=ohm143322\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<p>When we modeled subtracting [latex]26[\/latex] from [latex]43[\/latex], we exchanged [latex]1[\/latex] ten for [latex]10[\/latex] ones. When we do this without the model, we say we borrow [latex]1[\/latex] from the tens place and add [latex]10[\/latex] to the ones place.<\/p>\n<div class=\"textbox shaded\">\n<h3>Find the difference of whole numbers<\/h3>\n<ol id=\"eip-id1168289617573\" class=\"stepwise\">\n<li>Write the numbers so each place value lines up vertically.<\/li>\n<li>Subtract the digits in each place value. Work from right to left starting with the ones place. If the digit on top is less than the digit below, borrow as needed.<\/li>\n<li>Continue subtracting each place value from right to left, borrowing if needed.<\/li>\n<li>Check by adding.<\/li>\n<\/ol>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>excercise<\/h3>\n<p>Subtract: [latex]43 - 26[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q491725\">Show Solution<\/span><\/p>\n<div id=\"q491725\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-640\" class=\"unnumbered unstyled\" style=\"width: 915px;\" summary=\".\">\n<tbody>\n<tr>\n<td style=\"width: 587.944px;\">Write the numbers so each place value lines up vertically.<\/td>\n<td style=\"width: 306.056px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215443\/CNX_BMath_Figure_01_03_029_img-01.png\" alt=\"..\" width=\"94\" height=\"56\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 587.944px;\">Subtract the ones. We cannot subtract [latex]6[\/latex] from [latex]3[\/latex], so we borrow [latex]1[\/latex] ten. This makes [latex]3[\/latex] tens and [latex]13[\/latex] ones. We write these numbers above each place and cross out the original digits.<\/td>\n<td style=\"width: 306.056px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215444\/CNX_BMath_Figure_01_03_029_img-02.png\" alt=\"..\" width=\"92\" height=\"73\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 587.944px;\">Now we can subtract the ones. [latex]13 - 6=7[\/latex]. We write the [latex]7[\/latex] in the ones place in the difference.<\/td>\n<td style=\"width: 306.056px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215445\/CNX_BMath_Figure_01_03_029_img-03.png\" alt=\"..\" width=\"90\" height=\"102\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 587.944px;\">Now we subtract the tens. [latex]3 - 2=1[\/latex]. We write the[latex]1[\/latex] in the tens place in the difference.<\/td>\n<td style=\"width: 306.056px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215445\/CNX_BMath_Figure_01_03_029_img-04.png\" alt=\"..\" width=\"89\" height=\"101\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 587.944px;\">Check by adding.<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215446\/CNX_BMath_Figure_01_03_029_img-05.png\" alt=\"..\" width=\"94\" height=\"88\" \/><\/p>\n<p>Our answer is correct.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm143327\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=143327&theme=oea&iframe_resize_id=ohm143327\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Subtract and then check by adding: [latex]207 - 64[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q125839\">Show Solution<\/span><\/p>\n<div id=\"q125839\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-274\" class=\"unnumbered unstyled\" style=\"width: 913px;\" summary=\"a\">\n<tbody>\n<tr>\n<td style=\"width: 593.059px;\">Write the numbers so each place value lines up vertically.<\/td>\n<td style=\"width: 299.941px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215447\/CNX_BMath_Figure_01_03_030-01.png\" alt=\"..\" width=\"108\" height=\"59\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 593.059px;\">Subtract the ones. [latex]7 - 4=3[\/latex].Write the [latex]3[\/latex] in the ones place in the difference. Write the [latex]3[\/latex] in the ones place in the difference.<\/td>\n<td style=\"width: 299.941px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215448\/CNX_BMath_Figure_01_03_030-02.png\" alt=\"..\" width=\"109\" height=\"99\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 593.059px;\">Subtract the tens. We cannot subtract [latex]6[\/latex] from [latex]0[\/latex] so we borrow [latex]1[\/latex] hundred and add [latex]10[\/latex] tens to the [latex]0[\/latex] tens we had. This makes a total of [latex]10[\/latex] tens. We write [latex]10[\/latex] above the tens place and cross out the [latex]0[\/latex]. Then we cross out the [latex]2[\/latex] in the hundreds place and write [latex]1[\/latex] above it.<\/td>\n<td style=\"width: 299.941px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215449\/CNX_BMath_Figure_01_03_030-03.png\" alt=\"..\" width=\"108\" height=\"113\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 593.059px;\">Now we subtract the tens. [latex]10 - 6=4[\/latex]. We write the 4 in the tens place in the difference.<\/td>\n<td style=\"width: 299.941px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215450\/CNX_BMath_Figure_01_03_030-04.png\" alt=\"..\" width=\"109\" height=\"114\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 593.059px;\">Finally, subtract the hundreds. There is no digit in the hundreds place in the bottom number so we can imagine a [latex]0[\/latex] in that place. Since [latex]1 - 0=1[\/latex], we write [latex]1[\/latex] in the hundreds place in the difference.<\/td>\n<td style=\"width: 299.941px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215451\/CNX_BMath_Figure_01_03_030-05.png\" alt=\"..\" width=\"111\" height=\"116\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 593.059px;\">Check by adding.<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215451\/CNX_BMath_Figure_01_03_030-06.png\" alt=\"..\" width=\"106\" height=\"111\" \/><\/p>\n<p>Our answer is correct.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p>Subtract and then check by adding: [latex]439 - 52[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q94170\">Show Solution<\/span><\/p>\n<div id=\"q94170\" class=\"hidden-answer\" style=\"display: none\">[latex]439 \u2212 52 = 387[\/latex] because [latex]387 + 52 = 439\\quad\\checkmark[\/latex]<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>Subtract and then check by adding: [latex]318 - 75[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q176277\">Show Solution<\/span><\/p>\n<div id=\"q176277\" class=\"hidden-answer\" style=\"display: none\">[latex]318 \u2212 75 = 243[\/latex] because [latex]243 + 75 = 318\\quad\\checkmark[\/latex]<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Subtract and then check by adding: [latex]910 - 586[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q94423\">Show Solution<\/span><\/p>\n<div id=\"q94423\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-537\" class=\"unnumbered unstyled\" style=\"width: 917px;\" summary=\"a\">\n<tbody>\n<tr>\n<td style=\"width: 593.569px;\">Write the numbers so each place value lines up vertically.<\/td>\n<td style=\"width: 301.431px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215452\/CNX_BMath_Figure_01_03_031-01.png\" alt=\"..\" width=\"105\" height=\"66\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 593.569px;\">Subtract the ones. We cannot subtract [latex]6[\/latex] from [latex]0[\/latex], so we borrow [latex]1[\/latex] ten and add [latex]10[\/latex] ones to the [latex]10[\/latex] ones we had. This makes [latex]10[\/latex] ones. We write a [latex]0[\/latex] above the tens place and cross out the [latex]1[\/latex]. We write the [latex]10[\/latex] above the ones place and cross out the [latex]0[\/latex]. Now we can subtract the ones. [latex]10 - 6=4[\/latex].<\/td>\n<td style=\"width: 301.431px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215453\/CNX_BMath_Figure_01_03_031-02.png\" alt=\"..\" width=\"116\" height=\"70\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 593.569px;\">Write the 4 in the ones place of the difference.<\/td>\n<td style=\"width: 301.431px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215454\/CNX_BMath_Figure_01_03_031-03.png\" alt=\"..\" width=\"117\" height=\"104\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 593.569px;\">Subtract the tens. We cannot subtract [latex]8[\/latex] from [latex]0[\/latex], so we borrow [latex]1[\/latex] hundred and add [latex]10[\/latex] tens to the [latex]0[\/latex] tens we had, which gives us [latex]10[\/latex] tens. Write [latex]8[\/latex] above the hundreds place and cross out the [latex]9[\/latex]. Write [latex]10[\/latex] above the tens place.<\/td>\n<td style=\"width: 301.431px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215455\/CNX_BMath_Figure_01_03_031-04.png\" alt=\"..\" width=\"119\" height=\"106\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 593.569px;\">Now we can subtract the tens. [latex]10 - 8=2[\/latex] .<\/td>\n<td style=\"width: 301.431px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215456\/CNX_BMath_Figure_01_03_031-05.png\" alt=\"..\" width=\"118\" height=\"105\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 593.569px;\">Subtract the hundreds place. [latex]8 - 5=3[\/latex] Write the [latex]3[\/latex] in the hundreds place in the difference.<\/td>\n<td style=\"width: 301.431px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215457\/CNX_BMath_Figure_01_03_031-06.png\" alt=\"..\" width=\"114\" height=\"102\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 593.569px;\">Check by adding.<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215457\/CNX_BMath_Figure_01_03_031-07.png\" alt=\"...\" width=\"113\" height=\"95\" \/><\/p>\n<p>Our answer is correct.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm143341\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=143341&theme=oea&iframe_resize_id=ohm143341\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Subtract and then check by adding: [latex]2,162 - 479[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q61197\">Show Solution<\/span><\/p>\n<div id=\"q61197\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-7544534\" class=\"unnumbered unstyled\" style=\"width: 917px;\" summary=\"This image is two columns. The left column includes annotations and the right column includes math expressions. The first line reads\">\n<tbody>\n<tr>\n<td style=\"width: 697.014px;\">Write the numbers so each place values line up vertically.<\/td>\n<td style=\"width: 196.986px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215458\/CNX_BMath_Figure_01_03_028_img-02.png\" alt=\"CNX_BMath_Figure_01_03_028_img-02.png\" width=\"103\" height=\"66\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 697.014px;\">Subtract the ones. Since we cannot subtract [latex]9[\/latex] from [latex]2[\/latex], borrow [latex]1[\/latex] ten and add [latex]10[\/latex] ones to the [latex]2[\/latex] ones to make [latex]12[\/latex] ones. Write [latex]5[\/latex] above the tens place and cross out the [latex]6[\/latex]. Write [latex]12[\/latex] above the ones place and cross out the [latex]2[\/latex].<\/td>\n<td style=\"width: 196.986px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215459\/CNX_BMath_Figure_01_03_028_img-03.png\" alt=\"CNX_BMath_Figure_01_03_028_img-03.png\" width=\"100\" height=\"83\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 697.014px;\">Now we can subtract the ones.<\/td>\n<td style=\"width: 196.986px;\">[latex]12 - 9=3[\/latex]<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 697.014px;\">Write [latex]3[\/latex] in the ones place in the difference.<\/td>\n<td style=\"width: 196.986px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215500\/CNX_BMath_Figure_01_03_028_img-04.png\" alt=\"CNX_BMath_Figure_01_03_028_img-04.png\" width=\"102\" height=\"122\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 697.014px;\">Subtract the tens. Since we cannot subtract [latex]7[\/latex] from [latex]5[\/latex], borrow [latex]1[\/latex] hundred and add [latex]10[\/latex] tens to the [latex]5[\/latex] tens to make [latex]15[\/latex] tens. Write [latex]0[\/latex] above the hundreds place and cross out the [latex]1[\/latex]. Write [latex]15[\/latex] above the tens place.<\/td>\n<td style=\"width: 196.986px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215501\/CNX_BMath_Figure_01_03_028_img-05.png\" alt=\"CNX_BMath_Figure_01_03_028_img-06.png\" width=\"98\" height=\"140\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 697.014px;\">Now we can subtract the tens.<\/td>\n<td style=\"width: 196.986px;\">[latex]15 - 7=8[\/latex]<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 697.014px;\">Write [latex]8[\/latex] in the tens place in the difference.<\/td>\n<td style=\"width: 196.986px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215502\/CNX_BMath_Figure_01_03_028_img-06.png\" alt=\"CNX_BMath_Figure_01_03_028_img-05.png\" width=\"97\" height=\"116\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 697.014px;\">Now we can subtract the hundreds.<\/td>\n<td style=\"width: 196.986px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215503\/CNX_BMath_Figure_01_03_028_img-07.png\" alt=\"CNX_BMath_Figure_01_03_028_img-07.png\" width=\"101\" height=\"144\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 697.014px;\">Write [latex]6[\/latex] in the hundreds place in the difference.<\/td>\n<td style=\"width: 196.986px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215504\/CNX_BMath_Figure_01_03_028_img-08.png\" alt=\"CNX_BMath_Figure_01_03_028_img-08.png\" width=\"102\" height=\"119\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 697.014px;\">Subtract the thousands. There is no digit in the thousands place of the bottom number, so we imagine a [latex]0[\/latex]. [latex]1 - 0=1[\/latex]. Write [latex]1[\/latex] in the thousands place of the difference.<\/td>\n<td style=\"width: 196.986px;\"><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215505\/CNX_BMath_Figure_01_03_028_img-09.png\" alt=\"CNX_BMath_Figure_01_03_028_img-09.png\" width=\"102\" height=\"122\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 697.014px;\">Check by adding.[latex]\\begin{array}{}\\\\ \\stackrel{1}{1},\\stackrel{1}{6}\\stackrel{1}{8}3\\hfill \\\\ \\underset{\\text{______}}{+479}\\hfill \\\\ 2,162\\quad\\checkmark \\hfill \\end{array}\\quad\\checkmark[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Our answer is correct.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm143343\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=143343&theme=oea&iframe_resize_id=ohm143343\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<p>Watch the video below to see another example of subtracting whole numbers by lining up place values.<br \/>\n<iframe loading=\"lazy\" id=\"oembed-1\" title=\"Example:  Subtracting Whole Numbers\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/hneqy1EGACs?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-4598\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Example: Subtracting Whole Numbers. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/hneqy1EGACs\">https:\/\/youtu.be\/hneqy1EGACs<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Question ID: 143321, 143322, 143327, 143341, 143343. <strong>Authored by<\/strong>: Alyson Day. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License CC-BY + GPL<\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":10,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Example: Subtracting Whole Numbers\",\"author\":\"\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/hneqy1EGACs\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"cc\",\"description\":\"Question ID: 143321, 143322, 143327, 143341, 143343\",\"author\":\"Alyson Day\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"IMathAS Community License CC-BY + 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