{"id":4599,"date":"2020-04-21T00:19:05","date_gmt":"2020-04-21T00:19:05","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/chapter\/subtracting-whole-numbers-in-applications\/"},"modified":"2025-09-02T22:25:13","modified_gmt":"2025-09-02T22:25:13","slug":"subtracting-whole-numbers-in-applications","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/chapter\/subtracting-whole-numbers-in-applications\/","title":{"raw":"Subtracting Whole Numbers in Applications","rendered":"Subtracting Whole Numbers in Applications"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Translate word phrases representing subtraction to mathematical expressions<\/li>\r\n \t<li>Use subtraction to solve word applications<\/li>\r\n<\/ul>\r\n<\/div>\r\n&nbsp;\r\n<h2>\u00a0Translate Word Phrases to Math Notation<\/h2>\r\nAs with addition, word phrases can tell us to operate on two numbers using subtraction. To translate from a word phrase to math notation, we look for key words that indicate subtraction. Some of the words that indicate subtraction are listed in the table below.\r\n<table id=\"fs-id1549826\" summary=\"This table has two rows and five columns. The first row is a header row. Columns are labeled from left to right operation, word phrase, example, and expression. Under the operation column in the second row is the word subtraction. Under the word phrase column are the words minus, difference, decreased by, less than, subtracted from. Under the example column is a list of examples: 5 minus 2, the difference of 9 and 4, 7 decreased by 3, 5 less than 8, 1 subtracted from 6. The expression column includes the expressions in a list 5 minus 1, 9 minus 4, 7 minus 3, 8 minus 5, 6 minus 1.\">\r\n<thead>\r\n<tr valign=\"top\">\r\n<th>Operation<\/th>\r\n<th>Word Phrase<\/th>\r\n<th>Example<\/th>\r\n<th>Expression<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr valign=\"top\">\r\n<td>Subtraction<\/td>\r\n<td>minus<\/td>\r\n<td>[latex]5[\/latex] minus [latex]1[\/latex]<\/td>\r\n<td>[latex]5 - 1[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>difference<\/td>\r\n<td>the difference of [latex]9[\/latex] and [latex]4[\/latex]<\/td>\r\n<td>[latex]9 - 4[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>decreased by<\/td>\r\n<td>[latex]7[\/latex] decreased by [latex]3[\/latex]<\/td>\r\n<td>[latex]7 - 3[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>less than<\/td>\r\n<td>[latex]5[\/latex] less than [latex]8[\/latex]<\/td>\r\n<td>[latex]8 - 5[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>subtracted from<\/td>\r\n<td>[latex]1[\/latex] subtracted from [latex]6[\/latex]<\/td>\r\n<td>[latex]6 - 1[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n&nbsp;\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nTranslate and then simplify:\r\n<ol id=\"eip-id1168287211491\" class=\"circled\">\r\n \t<li>The difference of [latex]13[\/latex] and [latex]8[\/latex]<\/li>\r\n \t<li>Subtract [latex]24[\/latex] from [latex]43[\/latex]<\/li>\r\n<\/ol>\r\nSolution\r\n1. The word <em>difference<\/em> tells us to subtract the two numbers. The numbers stay in the same order as in the phrase.\r\n<table id=\"eip-id1168289460345\" class=\"unnumbered unstyled\" style=\"width: 90%;\" summary=\"a\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>The difference of [latex]13[\/latex] and [latex]8[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate.<\/td>\r\n<td>[latex]13 - 8[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]5[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n2. The words <em>subtract<\/em> <em>from<\/em> tells us to take the second number away from the first. We must be careful to get the order correct.\r\n<table id=\"eip-id1168287585454\" class=\"unnumbered unstyled\" style=\"width: 90%;\" summary=\"a\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>Subtract [latex]24[\/latex] from [latex]43[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate.<\/td>\r\n<td>[latex]43 - 24[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]19[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\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]143348[\/ohm_question]\r\n\r\n&nbsp;\r\n\r\n<\/div>\r\n&nbsp;\r\n\r\nFor more examples of how to translate a phrase that represents subtraction, watch the video below.\r\n\r\nhttps:\/\/youtu.be\/vtnAdQHCt5s\r\n<h2>Subtract Whole Numbers in Applications<\/h2>\r\nTo solve applications with subtraction, we will use the same plan that we used with addition. First, we need to determine what we are asked to find. Then we write a phrase that gives the information to find it. We translate the phrase into math notation and then simplify to get the answer. Finally, we write a sentence to answer the question, using the appropriate units.\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nThe temperature in Chicago one morning was [latex]73[\/latex] degrees Fahrenheit. A cold front arrived and by noon the temperature was [latex]27[\/latex] degrees Fahrenheit. What was the difference between the temperature in the morning and the temperature at noon?\r\n[reveal-answer q=\"497499\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"497499\"]\r\n\r\nSolution\r\nWe are asked to find the difference between the morning temperature and the noon temperature.\r\n<table id=\"eip-505\" class=\"unnumbered unstyled\" style=\"width: 80%;\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>Write a phrase.<\/td>\r\n<td>the difference of [latex]73[\/latex] and [latex]27[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate to math notation. <em>Difference<\/em> tells us to subtract.<\/td>\r\n<td>[latex]73 - 27[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Then we do the subtraction.<\/td>\r\n<td><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215506\/CNX_BMath_Figure_01_03_032.png\" alt=\"...\" width=\"96\" height=\"111\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a sentence to answer the question.<\/td>\r\n<td>The difference in temperatures was [latex]46[\/latex] degrees Fahrenheit.<\/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\nThe high temperature on [latex]\\text{June}{1}^{\\text{st}}[\/latex] in Boston was [latex]77[\/latex] degrees Fahrenheit, and the low temperature was [latex]58[\/latex] degrees Fahrenheit. What was the difference between the high and low temperatures?\r\n[reveal-answer q=\"867184\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"867184\"]The difference is [latex]19[\/latex] degrees Fahrenheit.[\/hidden-answer]\r\n\r\n&nbsp;\r\n\r\nThe weather forecast for June [latex]2[\/latex] in St Louis predicts a high temperature of [latex]90[\/latex] degrees Fahrenheit and a low of [latex]73[\/latex] degrees Fahrenheit. What is the difference between the predicted high and low temperatures?\r\n[reveal-answer q=\"893346\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"893346\"]The difference is [latex]17[\/latex] degrees Fahrenheit.[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nA washing machine is on sale for [latex]\\text{\\$399}[\/latex]. Its regular price is [latex]\\text{\\$588}[\/latex]. What is the difference between the regular price and the sale price?\r\n[reveal-answer q=\"554050\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"554050\"]\r\n\r\nSolution\r\nWe are asked to find the difference between the regular price and the sale price.\r\n<table id=\"eip-366\" class=\"unnumbered unstyled\" style=\"width: 90%;\" summary=\",\">\r\n<tbody>\r\n<tr>\r\n<td>Write a phrase.<\/td>\r\n<td>The difference between [latex]588[\/latex] and [latex]399[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate to math notation.<\/td>\r\n<td>[latex]588 - 399[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Subtract.<\/td>\r\n<td><img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215507\/CNX_BMath_Figure_01_03_033.png\" alt=\"..\" width=\"92\" height=\"106\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a sentence to answer the question.<\/td>\r\n<td>The difference between the regular price and the sale price is [latex]\\text{\\$189}[\/latex].<\/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]143340[\/ohm_question]\r\n\r\n[ohm_question hide_question_numbers=1]143349[\/ohm_question]\r\n\r\n<\/div>\r\nWatch the following video for more examples of how to write a mathematical statement to solve a problem involving the difference of two numbers.\r\nhttps:\/\/youtu.be\/eZruUpecYuc","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Translate word phrases representing subtraction to mathematical expressions<\/li>\n<li>Use subtraction to solve word applications<\/li>\n<\/ul>\n<\/div>\n<p>&nbsp;<\/p>\n<h2>\u00a0Translate Word Phrases to Math Notation<\/h2>\n<p>As with addition, word phrases can tell us to operate on two numbers using subtraction. To translate from a word phrase to math notation, we look for key words that indicate subtraction. Some of the words that indicate subtraction are listed in the table below.<\/p>\n<table id=\"fs-id1549826\" summary=\"This table has two rows and five columns. The first row is a header row. Columns are labeled from left to right operation, word phrase, example, and expression. Under the operation column in the second row is the word subtraction. Under the word phrase column are the words minus, difference, decreased by, less than, subtracted from. Under the example column is a list of examples: 5 minus 2, the difference of 9 and 4, 7 decreased by 3, 5 less than 8, 1 subtracted from 6. The expression column includes the expressions in a list 5 minus 1, 9 minus 4, 7 minus 3, 8 minus 5, 6 minus 1.\">\n<thead>\n<tr valign=\"top\">\n<th>Operation<\/th>\n<th>Word Phrase<\/th>\n<th>Example<\/th>\n<th>Expression<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr valign=\"top\">\n<td>Subtraction<\/td>\n<td>minus<\/td>\n<td>[latex]5[\/latex] minus [latex]1[\/latex]<\/td>\n<td>[latex]5 - 1[\/latex]<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>difference<\/td>\n<td>the difference of [latex]9[\/latex] and [latex]4[\/latex]<\/td>\n<td>[latex]9 - 4[\/latex]<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>decreased by<\/td>\n<td>[latex]7[\/latex] decreased by [latex]3[\/latex]<\/td>\n<td>[latex]7 - 3[\/latex]<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>less than<\/td>\n<td>[latex]5[\/latex] less than [latex]8[\/latex]<\/td>\n<td>[latex]8 - 5[\/latex]<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>subtracted from<\/td>\n<td>[latex]1[\/latex] subtracted from [latex]6[\/latex]<\/td>\n<td>[latex]6 - 1[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Translate and then simplify:<\/p>\n<ol id=\"eip-id1168287211491\" class=\"circled\">\n<li>The difference of [latex]13[\/latex] and [latex]8[\/latex]<\/li>\n<li>Subtract [latex]24[\/latex] from [latex]43[\/latex]<\/li>\n<\/ol>\n<p>Solution<br \/>\n1. The word <em>difference<\/em> tells us to subtract the two numbers. The numbers stay in the same order as in the phrase.<\/p>\n<table id=\"eip-id1168289460345\" class=\"unnumbered unstyled\" style=\"width: 90%;\" summary=\"a\">\n<tbody>\n<tr>\n<td><\/td>\n<td>The difference of [latex]13[\/latex] and [latex]8[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Translate.<\/td>\n<td>[latex]13 - 8[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]5[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>2. The words <em>subtract<\/em> <em>from<\/em> tells us to take the second number away from the first. We must be careful to get the order correct.<\/p>\n<table id=\"eip-id1168287585454\" class=\"unnumbered unstyled\" style=\"width: 90%;\" summary=\"a\">\n<tbody>\n<tr>\n<td><\/td>\n<td>Subtract [latex]24[\/latex] from [latex]43[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Translate.<\/td>\n<td>[latex]43 - 24[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]19[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm143348\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=143348&theme=oea&iframe_resize_id=ohm143348\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>&nbsp;<\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<p>For more examples of how to translate a phrase that represents subtraction, watch the video below.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"The Language of Subtraction\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/vtnAdQHCt5s?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<h2>Subtract Whole Numbers in Applications<\/h2>\n<p>To solve applications with subtraction, we will use the same plan that we used with addition. First, we need to determine what we are asked to find. Then we write a phrase that gives the information to find it. We translate the phrase into math notation and then simplify to get the answer. Finally, we write a sentence to answer the question, using the appropriate units.<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>The temperature in Chicago one morning was [latex]73[\/latex] degrees Fahrenheit. A cold front arrived and by noon the temperature was [latex]27[\/latex] degrees Fahrenheit. What was the difference between the temperature in the morning and the temperature at noon?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q497499\">Show Solution<\/span><\/p>\n<div id=\"q497499\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<br \/>\nWe are asked to find the difference between the morning temperature and the noon temperature.<\/p>\n<table id=\"eip-505\" class=\"unnumbered unstyled\" style=\"width: 80%;\" summary=\".\">\n<tbody>\n<tr>\n<td>Write a phrase.<\/td>\n<td>the difference of [latex]73[\/latex] and [latex]27[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Translate to math notation. <em>Difference<\/em> tells us to subtract.<\/td>\n<td>[latex]73 - 27[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Then we do the subtraction.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215506\/CNX_BMath_Figure_01_03_032.png\" alt=\"...\" width=\"96\" height=\"111\" \/><\/td>\n<\/tr>\n<tr>\n<td>Write a sentence to answer the question.<\/td>\n<td>The difference in temperatures was [latex]46[\/latex] degrees Fahrenheit.<\/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>The high temperature on [latex]\\text{June}{1}^{\\text{st}}[\/latex] in Boston was [latex]77[\/latex] degrees Fahrenheit, and the low temperature was [latex]58[\/latex] degrees Fahrenheit. What was the difference between the high and low temperatures?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q867184\">Show Solution<\/span><\/p>\n<div id=\"q867184\" class=\"hidden-answer\" style=\"display: none\">The difference is [latex]19[\/latex] degrees Fahrenheit.<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>The weather forecast for June [latex]2[\/latex] in St Louis predicts a high temperature of [latex]90[\/latex] degrees Fahrenheit and a low of [latex]73[\/latex] degrees Fahrenheit. What is the difference between the predicted high and low temperatures?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q893346\">Show Solution<\/span><\/p>\n<div id=\"q893346\" class=\"hidden-answer\" style=\"display: none\">The difference is [latex]17[\/latex] degrees Fahrenheit.<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>A washing machine is on sale for [latex]\\text{\\$399}[\/latex]. Its regular price is [latex]\\text{\\$588}[\/latex]. What is the difference between the regular price and the sale price?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q554050\">Show Solution<\/span><\/p>\n<div id=\"q554050\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<br \/>\nWe are asked to find the difference between the regular price and the sale price.<\/p>\n<table id=\"eip-366\" class=\"unnumbered unstyled\" style=\"width: 90%;\" summary=\",\">\n<tbody>\n<tr>\n<td>Write a phrase.<\/td>\n<td>The difference between [latex]588[\/latex] and [latex]399[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Translate to math notation.<\/td>\n<td>[latex]588 - 399[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Subtract.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215507\/CNX_BMath_Figure_01_03_033.png\" alt=\"..\" width=\"92\" height=\"106\" \/><\/td>\n<\/tr>\n<tr>\n<td>Write a sentence to answer the question.<\/td>\n<td>The difference between the regular price and the sale price is [latex]\\text{\\$189}[\/latex].<\/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=\"ohm143340\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=143340&theme=oea&iframe_resize_id=ohm143340\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p><iframe loading=\"lazy\" id=\"ohm143349\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=143349&theme=oea&iframe_resize_id=ohm143349\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>Watch the following video for more examples of how to write a mathematical statement to solve a problem involving the difference of two numbers.<br \/>\n<iframe loading=\"lazy\" id=\"oembed-2\" title=\"Find the Difference of an Original and Sale Price (Whole Numbers)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/eZruUpecYuc?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-4599\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Find the Difference of an Original and Sale Price (Whole Numbers). <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) for Lumen Learning. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/eZruUpecYuc\">https:\/\/youtu.be\/eZruUpecYuc<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>The Language of Subtraction. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/vtnAdQHCt5s\">https:\/\/youtu.be\/vtnAdQHCt5s<\/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: 143348, 143340, 143349. <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":11,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"The Language of Subtraction\",\"author\":\"\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/vtnAdQHCt5s\",\"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\":\"original\",\"description\":\"Find the Difference of an Original and Sale Price 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