{"id":501,"date":"2021-08-02T15:47:57","date_gmt":"2021-08-02T15:47:57","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=501"},"modified":"2022-01-11T21:26:28","modified_gmt":"2022-01-11T21:26:28","slug":"adding-and-subtracting-real-numbers","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/adding-and-subtracting-real-numbers\/","title":{"raw":"Adding and Subtracting Real Numbers","rendered":"Adding and Subtracting Real Numbers"},"content":{"raw":"<div class=\"bcc-box bcc-highlight\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Add and subtract real numbers\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"2\">Add real numbers with the same and different signs<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"2\">Subtract real numbers with the same and different signs<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<\/div>\r\nThe set of <strong>real numbers<\/strong> can be thought of as all possible distances from a fixed point, represented by [latex]0[\/latex] on the number line below.\u00a0 The distance of points to the right of [latex]0[\/latex] are represented by positive [latex](+)[\/latex] numbers.\u00a0 The distance of points to the left of [latex]0[\/latex] are represented by negative [latex](-)[\/latex] numbers.\u00a0 The <strong>sign<\/strong> of a number represents its direction relative to [latex]0[\/latex]. Numbers are assumed to be positive if no sign is specified: [latex]2[\/latex] means [latex]+2[\/latex].\r\n\r\nThe <strong>integers<\/strong> are counting numbers and their negatives, as well as zero:\r\n<p style=\"text-align: center;\">[latex]...,-3, -2, -1, 0, 1, 2, 3, ...[\/latex]<\/p>\r\nThe set of real numbers includes fractions and decimals, as well as the integers.\r\n\r\n<img class=\"aligncenter wp-image-502 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/02154403\/CNX_BMath_Figure_03_01_006-300x82.png\" alt=\"This figure is a number line with 0 in the middle. Then, the scaling has positive numbers 1 to 4 to the right of 0 and negative numbers, negative 1 to negative 4 to the left of 0.\" width=\"300\" height=\"82\" \/>\r\n\r\nThe absolute value of a real number [latex]x[\/latex], represented by [latex]x[\/latex], is its distance from [latex]0[\/latex] without regard to direction. Since it represents distance, the absolute value of a number is never negative. For example, since [latex]-2[\/latex] is located [latex]2[\/latex] units to the left of [latex]0, |-2|=2[\/latex]. Since [latex]2[\/latex] is located [latex]2[\/latex] units to the right of [latex]0, |2|=2[\/latex].\r\n\r\nIf we add two positive numbers, such as [latex]1[\/latex] and [latex]2[\/latex], we can think of beginning at [latex]0[\/latex] and moving [latex]1[\/latex] unit to the right, and then [latex]2[\/latex] more units to the right. So,\r\n<p style=\"text-align: center;\">[latex]1+2=3[\/latex]<\/p>\r\nIf we add two negative numbers, such as [latex]-1[\/latex] and [latex]-2[\/latex], we proceed in the same way but move to the left each time. So,\r\n<p style=\"text-align: center;\">[latex](-1)+(-2)=-3[\/latex]<\/p>\r\n\r\n<div class=\"textbox shaded\">\r\n<h3>To add two numbers with the same sign (both positive or both negative)<\/h3>\r\n<ul>\r\n \t<li><i>Add<\/i> their absolute values (without the [latex]+[\/latex] or [latex]-[\/latex] sign)<\/li>\r\n \t<li>Give the sum the same sign.<\/li>\r\n<\/ul>\r\n<\/div>\r\nSuppose we wish to add two numbers with different signs. If we add [latex]-2[\/latex] and [latex]3[\/latex] we move from [latex]0[\/latex] to the left [latex]2[\/latex] units to [latex]-2[\/latex], and then to the right [latex]3[\/latex] units, ending at [latex]1[\/latex].\r\n<p style=\"text-align: center;\">[latex]-2 + 3 = 1[\/latex]<\/p>\r\nIf we add [latex]2[\/latex] and [latex]-3[\/latex] we move from [latex]0[\/latex] to the right [latex]2[\/latex] units to [latex]2[\/latex], and then to the left [latex]3[\/latex] units, ending at [latex]-1[\/latex].\r\n<p style=\"text-align: center;\">[latex]2 + (-3) = -1[\/latex]<\/p>\r\n\r\n<div class=\"textbox shaded\">\r\n<h3>To add two numbers with different signs (one positive and one negative)<\/h3>\r\n<ul>\r\n \t<li>Find the<i> difference <\/i>of their absolute values. (Note that when you find the difference of the absolute values, you always subtract the lesser absolute value from the greater one.)<\/li>\r\n \t<li>Give the sum the same sign as the number with the greater absolute value.<\/li>\r\n<\/ul>\r\n<\/div>\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\nFind\u00a0[latex]17+(-20)[\/latex].\r\n\r\n[reveal-answer q=\"58633\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"58633\"]\r\n\r\nSince the two numbers have different signs, we first find the difference of their absolute values.\r\n<p style=\"text-align: center;\">[latex]|17|=17, |-20|=20[\/latex]<\/p>\r\n<p style=\"text-align: center;\">[latex]20-17=3[\/latex]<\/p>\r\nNow attach the sign of the number with greater absolute value. Since the larger of the absolute values is [latex]20[\/latex], the absolute value of [latex]-20[\/latex], our result is negative.\r\n<p style=\"text-align: center;\">[latex]17-20=-3[\/latex]<\/p>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Try It<\/h3>\r\n[ohm_question]353-354-355[\/ohm_question]\r\n\r\n<\/div>\r\nOne way to think of subtraction is to consider the distance between two numbers. [latex]5-3=2[\/latex] since we would need to move [latex]2[\/latex] units to the right of [latex]3[\/latex] to get to [latex]5[\/latex]. But we can also think of subtracting a number as the addition of its opposite.\r\n<p style=\"text-align: center;\">[latex]5-3=5+(-3)=2[\/latex]<\/p>\r\nWe can rewrite subtraction as the addition of a number\u2019s opposite.\r\n<p style=\"text-align: center;\">[latex]a-b=a+(-b)[\/latex]<\/p>\r\n\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\nFind\u00a0[latex]-13-(-20)[\/latex].\r\n\r\n[reveal-answer q=\"575872\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"575872\"]\r\n\r\n[latex]-13-(-20)=-13+20=+(20-13)=7[\/latex]\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\nFind\u00a0[latex]8-17[\/latex].\r\n\r\n[reveal-answer q=\"393021\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"393021\"]\r\n\r\n[latex]8-17=8+(-17)=-(17-8)=-9[\/latex]\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\nThe following video explains how to subtract two signed integers.\r\n\r\nhttps:\/\/youtu.be\/ciuIKFCtWWU\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Try It<\/h3>\r\n[ohm_question]34635-97222[\/ohm_question]\r\n\r\n<\/div>\r\nIn the following video are examples of adding and subtracting signed decimals.\r\n\r\nhttps:\/\/youtu.be\/3FHZQ5iKcpI","rendered":"<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Add and subtract real numbers\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"2\">Add real numbers with the same and different signs<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\">Subtract real numbers with the same and different signs<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<p>The set of <strong>real numbers<\/strong> can be thought of as all possible distances from a fixed point, represented by [latex]0[\/latex] on the number line below.\u00a0 The distance of points to the right of [latex]0[\/latex] are represented by positive [latex](+)[\/latex] numbers.\u00a0 The distance of points to the left of [latex]0[\/latex] are represented by negative [latex](-)[\/latex] numbers.\u00a0 The <strong>sign<\/strong> of a number represents its direction relative to [latex]0[\/latex]. Numbers are assumed to be positive if no sign is specified: [latex]2[\/latex] means [latex]+2[\/latex].<\/p>\n<p>The <strong>integers<\/strong> are counting numbers and their negatives, as well as zero:<\/p>\n<p style=\"text-align: center;\">[latex]...,-3, -2, -1, 0, 1, 2, 3, ...[\/latex]<\/p>\n<p>The set of real numbers includes fractions and decimals, as well as the integers.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-502 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/02154403\/CNX_BMath_Figure_03_01_006-300x82.png\" alt=\"This figure is a number line with 0 in the middle. Then, the scaling has positive numbers 1 to 4 to the right of 0 and negative numbers, negative 1 to negative 4 to the left of 0.\" width=\"300\" height=\"82\" \/><\/p>\n<p>The absolute value of a real number [latex]x[\/latex], represented by [latex]x[\/latex], is its distance from [latex]0[\/latex] without regard to direction. Since it represents distance, the absolute value of a number is never negative. For example, since [latex]-2[\/latex] is located [latex]2[\/latex] units to the left of [latex]0, |-2|=2[\/latex]. Since [latex]2[\/latex] is located [latex]2[\/latex] units to the right of [latex]0, |2|=2[\/latex].<\/p>\n<p>If we add two positive numbers, such as [latex]1[\/latex] and [latex]2[\/latex], we can think of beginning at [latex]0[\/latex] and moving [latex]1[\/latex] unit to the right, and then [latex]2[\/latex] more units to the right. So,<\/p>\n<p style=\"text-align: center;\">[latex]1+2=3[\/latex]<\/p>\n<p>If we add two negative numbers, such as [latex]-1[\/latex] and [latex]-2[\/latex], we proceed in the same way but move to the left each time. So,<\/p>\n<p style=\"text-align: center;\">[latex](-1)+(-2)=-3[\/latex]<\/p>\n<div class=\"textbox shaded\">\n<h3>To add two numbers with the same sign (both positive or both negative)<\/h3>\n<ul>\n<li><i>Add<\/i> their absolute values (without the [latex]+[\/latex] or [latex]-[\/latex] sign)<\/li>\n<li>Give the sum the same sign.<\/li>\n<\/ul>\n<\/div>\n<p>Suppose we wish to add two numbers with different signs. If we add [latex]-2[\/latex] and [latex]3[\/latex] we move from [latex]0[\/latex] to the left [latex]2[\/latex] units to [latex]-2[\/latex], and then to the right [latex]3[\/latex] units, ending at [latex]1[\/latex].<\/p>\n<p style=\"text-align: center;\">[latex]-2 + 3 = 1[\/latex]<\/p>\n<p>If we add [latex]2[\/latex] and [latex]-3[\/latex] we move from [latex]0[\/latex] to the right [latex]2[\/latex] units to [latex]2[\/latex], and then to the left [latex]3[\/latex] units, ending at [latex]-1[\/latex].<\/p>\n<p style=\"text-align: center;\">[latex]2 + (-3) = -1[\/latex]<\/p>\n<div class=\"textbox shaded\">\n<h3>To add two numbers with different signs (one positive and one negative)<\/h3>\n<ul>\n<li>Find the<i> difference <\/i>of their absolute values. (Note that when you find the difference of the absolute values, you always subtract the lesser absolute value from the greater one.)<\/li>\n<li>Give the sum the same sign as the number with the greater absolute value.<\/li>\n<\/ul>\n<\/div>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>Find\u00a0[latex]17+(-20)[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q58633\">Show Answer<\/span><\/p>\n<div id=\"q58633\" class=\"hidden-answer\" style=\"display: none\">\n<p>Since the two numbers have different signs, we first find the difference of their absolute values.<\/p>\n<p style=\"text-align: center;\">[latex]|17|=17, |-20|=20[\/latex]<\/p>\n<p style=\"text-align: center;\">[latex]20-17=3[\/latex]<\/p>\n<p>Now attach the sign of the number with greater absolute value. Since the larger of the absolute values is [latex]20[\/latex], the absolute value of [latex]-20[\/latex], our result is negative.<\/p>\n<p style=\"text-align: center;\">[latex]17-20=-3[\/latex]<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Try It<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm353\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=353-354-355&theme=oea&iframe_resize_id=ohm353&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>One way to think of subtraction is to consider the distance between two numbers. [latex]5-3=2[\/latex] since we would need to move [latex]2[\/latex] units to the right of [latex]3[\/latex] to get to [latex]5[\/latex]. But we can also think of subtracting a number as the addition of its opposite.<\/p>\n<p style=\"text-align: center;\">[latex]5-3=5+(-3)=2[\/latex]<\/p>\n<p>We can rewrite subtraction as the addition of a number\u2019s opposite.<\/p>\n<p style=\"text-align: center;\">[latex]a-b=a+(-b)[\/latex]<\/p>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>Find\u00a0[latex]-13-(-20)[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q575872\">Show Answer<\/span><\/p>\n<div id=\"q575872\" class=\"hidden-answer\" style=\"display: none\">\n<p>[latex]-13-(-20)=-13+20=+(20-13)=7[\/latex]<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>Find\u00a0[latex]8-17[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q393021\">Show Answer<\/span><\/p>\n<div id=\"q393021\" class=\"hidden-answer\" style=\"display: none\">\n<p>[latex]8-17=8+(-17)=-(17-8)=-9[\/latex]<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>The following video explains how to subtract two signed integers.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Ex 2:  Subtracting Integers (Two Digit Integers)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/ciuIKFCtWWU?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox key-takeaways\">\n<h3>Try It<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm34635\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=34635-97222&theme=oea&iframe_resize_id=ohm34635&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>In the following video are examples of adding and subtracting signed decimals.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Ex:  Adding Signed Decimals\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/3FHZQ5iKcpI?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-501\">\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>Revision and Adaptation. <strong>Provided 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><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Ex 2: Subtracting Integers (Two Digit Integers). <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) for Lumen Learning. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/ciuIKFCtWWU\">https:\/\/youtu.be\/ciuIKFCtWWU<\/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>Ex: Adding Signed Decimals. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) for Lumen Learning. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/3FHZQ5iKcpI\">https:\/\/youtu.be\/3FHZQ5iKcpI<\/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>Unit 9: Real Numbers, from Developmental Math: An Open Program. <strong>Provided by<\/strong>: Monterey Institute of Technology and Education. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/nrocnetwork.org\/resources\/downloads\/nroc-math-open-textbook-units-1-12-pdf-and-word-formats\/\">http:\/\/nrocnetwork.org\/resources\/downloads\/nroc-math-open-textbook-units-1-12-pdf-and-word-formats\/<\/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 353, 354, 355, 34635, 97222. <strong>Authored by<\/strong>: Etgen, B; Lippman, D; 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, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/openstax.org\/books\/prealgebra\/pages\/1-introduction\">https:\/\/openstax.org\/books\/prealgebra\/pages\/1-introduction<\/a>. <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>: Access for free at https:\/\/openstax.org\/books\/prealgebra\/pages\/1-introduction<\/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":169134,"menu_order":3,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"https:\/\/openstax.org\/books\/prealgebra\/pages\/1-introduction\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Access for free at https:\/\/openstax.org\/books\/prealgebra\/pages\/1-introduction\"},{\"type\":\"cc\",\"description\":\"Ex 2: Subtracting Integers (Two Digit Integers)\",\"author\":\"James Sousa (Mathispower4u.com) for Lumen Learning\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/ciuIKFCtWWU\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex: Adding Signed Decimals\",\"author\":\"James Sousa (Mathispower4u.com) for Lumen Learning\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/3FHZQ5iKcpI\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Revision and Adaptation\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Unit 9: Real Numbers, from Developmental Math: An Open Program\",\"author\":\"\",\"organization\":\"Monterey Institute of Technology and Education\",\"url\":\"http:\/\/nrocnetwork.org\/resources\/downloads\/nroc-math-open-textbook-units-1-12-pdf-and-word-formats\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Question ID 353, 354, 355, 34635, 97222\",\"author\":\"Etgen, B; Lippman, D; Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"IMathAS Community License CC-BY + GPL\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-501","chapter","type-chapter","status-publish","hentry"],"part":31,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/501","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/users\/169134"}],"version-history":[{"count":14,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/501\/revisions"}],"predecessor-version":[{"id":3262,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/501\/revisions\/3262"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/31"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/501\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=501"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=501"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=501"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=501"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}