{"id":9128,"date":"2017-05-02T14:48:08","date_gmt":"2017-05-02T14:48:08","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=9128"},"modified":"2024-04-30T21:27:46","modified_gmt":"2024-04-30T21:27:46","slug":"introduction-solving-word-problems","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/introduction-solving-word-problems\/","title":{"raw":"Introduction to Solving Word Problems Containing Decimals","rendered":"Introduction to Solving Word Problems Containing Decimals"},"content":{"raw":"<div>\r\n<h2>What you'll learn to do: Solve word problems that have decimals by applying the problem-solving method<\/h2>\r\n[caption id=\"attachment_11518\" align=\"aligncenter\" width=\"1024\"]<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/08202915\/908539119_cfdb9fd8fd_o.jpg\"><img class=\"wp-image-11518 size-large\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/08202915\/908539119_cfdb9fd8fd_o-1024x729.jpg\" alt=\"A stack of coins on a table\" width=\"1024\" height=\"729\" \/><\/a> Decimals often appear in problems dealing with money.[\/caption]\r\n\r\n<\/div>\r\nEmily is digging through her car to find change to put in the parking meter. She finds twice as many dimes as nickels, and one fewer quarter than dimes. Altogether, she comes up with $2.00--just enough to cover the amount of time she'll have to park for her appointment! How can you figure out how many of each coin Emily put in the meter? You'll need to think about the value of each coin, which is usually expressed as a decimal (quarters are worth $.25, dimes are $.10, and so on). In this section, you'll practice solving word problems like this one, involving coins, tickets, and stamps.\r\n\r\nBefore you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.\r\n<div id=\"fs-id1794891\" class=\"note be-prepared\">\r\n<div class=\"textbox examples\">\r\n<h3>readiness quiz<\/h3>\r\n<p id=\"fs-id1798386\">1)<\/p>\r\n[embed]https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=140282&amp;theme=oea&amp;iframe_resize_id=mom2[\/embed]\r\n\r\nIf you missed this problem, review\u00a0the following video about multiplying decimals.\r\nhttps:\/\/youtu.be\/4LcYhKMbGzk\r\n\r\n2)\r\n\r\n[embed]https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=140288&amp;theme=oea&amp;iframe_resize_id=mom1[\/embed]\r\n\r\nIf you missed this problem, review this video about the distributive property.\r\nhttps:\/\/youtu.be\/VyDN3wUjYZs\r\n\r\n3)\r\n\r\n[embed]https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=140292&amp;theme=oea&amp;iframe_resize_id=mom10[\/embed]\r\n\r\nIf you missed this problem, review this video on how to solve a linear equation by clearing decimals first.\r\nhttps:\/\/youtu.be\/Yc74lLdtPrU\r\n\r\n<\/div>\r\n<\/div>","rendered":"<div>\n<h2>What you&#8217;ll learn to do: Solve word problems that have decimals by applying the problem-solving method<\/h2>\n<div id=\"attachment_11518\" style=\"width: 1034px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/08202915\/908539119_cfdb9fd8fd_o.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-11518\" class=\"wp-image-11518 size-large\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/08202915\/908539119_cfdb9fd8fd_o-1024x729.jpg\" alt=\"A stack of coins on a table\" width=\"1024\" height=\"729\" \/><\/a><\/p>\n<p id=\"caption-attachment-11518\" class=\"wp-caption-text\">Decimals often appear in problems dealing with money.<\/p>\n<\/div>\n<\/div>\n<p>Emily is digging through her car to find change to put in the parking meter. She finds twice as many dimes as nickels, and one fewer quarter than dimes. Altogether, she comes up with $2.00&#8211;just enough to cover the amount of time she&#8217;ll have to park for her appointment! How can you figure out how many of each coin Emily put in the meter? You&#8217;ll need to think about the value of each coin, which is usually expressed as a decimal (quarters are worth $.25, dimes are $.10, and so on). In this section, you&#8217;ll practice solving word problems like this one, involving coins, tickets, and stamps.<\/p>\n<p>Before you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.<\/p>\n<div id=\"fs-id1794891\" class=\"note be-prepared\">\n<div class=\"textbox examples\">\n<h3>readiness quiz<\/h3>\n<p id=\"fs-id1798386\">1)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm140282\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=140282&#38;theme=oea&#38;iframe_resize_id=ohm140282&#38;show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review\u00a0the following video about multiplying decimals.<br \/>\n<iframe loading=\"lazy\" id=\"oembed-1\" title=\"Examples 1: Multiplication of Decimals\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/4LcYhKMbGzk?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm140288\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=140288&#38;theme=oea&#38;iframe_resize_id=ohm140288&#38;show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review this video about the distributive property.<br \/>\n<iframe loading=\"lazy\" id=\"oembed-2\" title=\"Using the Distributive Property to Multiply Quickly\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/VyDN3wUjYZs?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm140292\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=140292&#38;theme=oea&#38;iframe_resize_id=ohm140292&#38;show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review this video on how to solve a linear equation by clearing decimals first.<br \/>\n<iframe loading=\"lazy\" id=\"oembed-3\" title=\"Ex: Solve a Basic Two Step Equation With Decimals (Clear Decimals)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/Yc74lLdtPrU?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n<\/div>\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-9128\">\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>Question ID 140282, 140288, 140292. <strong>Authored by<\/strong>: Lumen Learning. <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, Shared previously<\/div><ul class=\"citation-list\"><li>Ex: Solve a Basic Two Step Equation With Decimals (Clear Decimals). <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/Yc74lLdtPrU\">https:\/\/youtu.be\/Yc74lLdtPrU<\/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>Using the Distributive Property to Multiply Quickly. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/VyDN3wUjYZs\">https:\/\/youtu.be\/VyDN3wUjYZs<\/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>Examples 1: Multiplication of Decimals. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/4LcYhKMbGzk\">https:\/\/youtu.be\/4LcYhKMbGzk<\/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>Coins. <strong>Authored by<\/strong>: chefranden. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.flickr.com\/photos\/chefranden\/908539119\/\">https:\/\/www.flickr.com\/photos\/chefranden\/908539119\/<\/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, 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":17,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Ex: Solve a Basic Two Step Equation With Decimals (Clear Decimals)\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/Yc74lLdtPrU\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Using the Distributive Property to Multiply Quickly\",\"author\":\"James Sousa 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