{"id":5465,"date":"2021-01-28T02:12:14","date_gmt":"2021-01-28T02:12:14","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/?post_type=chapter&#038;p=5465"},"modified":"2025-11-30T03:41:33","modified_gmt":"2025-11-30T03:41:33","slug":"3-7-ruler-math","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/chapter\/3-7-ruler-math\/","title":{"raw":"3.7 Ruler Math","rendered":"3.7 Ruler Math"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Objectives<\/h3>\r\n<ul>\r\n \t<li>Convert inches into fractions of a foot.<\/li>\r\n \t<li>Convert feet and inches into feet only.<\/li>\r\n<\/ul>\r\n<\/div>\r\n<h3>First, let\u2019s look at notation.<\/h3>\r\n<div class=\"textbox examples\">\r\n<h3>Notation<\/h3>\r\nOne foot is equivalent to 12 inches.\u00a0 There are different ways to indicate feet (plural for foot) and inches.\r\n\r\n<strong>Equivalent Notation<\/strong>\r\n<table style=\"width: 390px; height: 51px;\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 147px; text-align: center;\">foot<\/td>\r\n<td style=\"width: 110.367px; text-align: center;\">ft.<\/td>\r\n<td style=\"width: 101.217px; text-align: center;\">ft<\/td>\r\n<td style=\"width: 94.3333px; text-align: center;\">\u2018<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 147px; text-align: center;\">inch<\/td>\r\n<td style=\"width: 110.367px; text-align: center;\">in.<\/td>\r\n<td style=\"width: 101.217px; text-align: center;\">in<\/td>\r\n<td style=\"width: 94.3333px; text-align: center;\">\u201c<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n&nbsp;\r\n\r\n<strong>Example<\/strong>: 1 foot 2 inches = 1 ft. 2 in. = 1 ft 2 in = 1\u2019 2\u201d\r\n\r\n<\/div>\r\nA common misconception when using inches and feet, is to assume that 12 feet 6 inches is equal to 12.6 feet. It is <strong>not<\/strong>!\r\n\r\nSo, what is it?\r\n\r\nLet\u2019s look at a ruler. Notice that 6 inches is half the length of the ruler. Therefore, 6 inches = 1\/2 foot.\r\n\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5548\/2021\/01\/10024642\/ruler-0.jpg\"><img class=\"wp-image-5701 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5548\/2021\/01\/10024642\/ruler-0.jpg\" alt=\"\" width=\"1030\" height=\"182\" \/><\/a>\r\n\r\nTo determine the fraction of a foot, divide the inches by 12. Three inches divided by 12 is 0.25 feet. Nine inches divided by 12 is 0.75 feet.\r\n\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5548\/2021\/01\/10025040\/Ruler-11.jpg\"><img class=\"alignnone wp-image-5704\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5548\/2021\/01\/10025040\/Ruler-11.jpg\" alt=\"\" width=\"1050\" height=\"490\" \/><\/a>\r\n<div class=\"textbox examples\">\r\n<h3>Examples<\/h3>\r\n<strong>Example 1<\/strong>: Convert 31 feet 6 inches to feet only.\r\n<p style=\"padding-left: 60px;\"><strong>Answer<\/strong>: 31 feet 6 inches = 31.5 feet<\/p>\r\n&nbsp;\r\n\r\n<strong>Example 2<\/strong>: Convert 11 ft. 3 in. to feet only.\r\n<p style=\"padding-left: 60px;\"><strong>Answer<\/strong>: 11 ft. 3 in. = 11.25 ft.<\/p>\r\n&nbsp;\r\n\r\n<strong>Example 3<\/strong>: Convert 64\u20199\u201d to feet only.\r\n<p style=\"padding-left: 60px;\"><strong>Answer<\/strong>: 64\u20199\u201d = 64.75\u2019<\/p>\r\n&nbsp;\r\n\r\n<strong>Example 4<\/strong>: Convert 42\u20196\u201d to feet only.\r\n<p style=\"padding-left: 60px;\"><strong>Answer<\/strong>: 42\u20196\u201d = 42.5\u2019<\/p>\r\n\r\n<\/div>\r\n&nbsp;\r\n\r\nFour inches divided by 12 is 1\/3 or 0.33 feet (if we round to the nearest hundredth). Eight inches divided by 12 is 2\/3 or 0.67 (if we round).\r\n\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5548\/2021\/01\/10024519\/Ruler-2.jpg\"><img class=\"alignnone wp-image-5700\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5548\/2021\/01\/10024519\/Ruler-2.jpg\" alt=\"\" width=\"1068\" height=\"513\" \/><\/a>\r\n<div class=\"textbox examples\">\r\n<h3>Examples<\/h3>\r\n<strong>Example 5<\/strong>: Convert 75 ft. 4 in. to feet only.\r\n<p style=\"padding-left: 60px;\"><strong>Answer: <\/strong>75 ft. 4 in. = 75.33 ft.<strong>\r\n<\/strong><\/p>\r\n&nbsp;\r\n\r\n<strong>Example 6<\/strong>: Convert 21'8\" to feet only.\r\n<p style=\"padding-left: 60px;\"><strong>Answer: <\/strong>21'8\" = 21.67'<strong>\r\n<\/strong><\/p>\r\n\r\n<\/div>\r\n<p style=\"text-align: center;\"><strong><span style=\"color: #ff0000;\">This is the end of the section. Close this tab and proceed to the corresponding assignment.<\/span><\/strong><\/p>","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Objectives<\/h3>\n<ul>\n<li>Convert inches into fractions of a foot.<\/li>\n<li>Convert feet and inches into feet only.<\/li>\n<\/ul>\n<\/div>\n<h3>First, let\u2019s look at notation.<\/h3>\n<div class=\"textbox examples\">\n<h3>Notation<\/h3>\n<p>One foot is equivalent to 12 inches.\u00a0 There are different ways to indicate feet (plural for foot) and inches.<\/p>\n<p><strong>Equivalent Notation<\/strong><\/p>\n<table style=\"width: 390px; height: 51px;\">\n<tbody>\n<tr>\n<td style=\"width: 147px; text-align: center;\">foot<\/td>\n<td style=\"width: 110.367px; text-align: center;\">ft.<\/td>\n<td style=\"width: 101.217px; text-align: center;\">ft<\/td>\n<td style=\"width: 94.3333px; text-align: center;\">\u2018<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 147px; text-align: center;\">inch<\/td>\n<td style=\"width: 110.367px; text-align: center;\">in.<\/td>\n<td style=\"width: 101.217px; text-align: center;\">in<\/td>\n<td style=\"width: 94.3333px; text-align: center;\">\u201c<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><strong>Example<\/strong>: 1 foot 2 inches = 1 ft. 2 in. = 1 ft 2 in = 1\u2019 2\u201d<\/p>\n<\/div>\n<p>A common misconception when using inches and feet, is to assume that 12 feet 6 inches is equal to 12.6 feet. It is <strong>not<\/strong>!<\/p>\n<p>So, what is it?<\/p>\n<p>Let\u2019s look at a ruler. Notice that 6 inches is half the length of the ruler. Therefore, 6 inches = 1\/2 foot.<\/p>\n<p><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5548\/2021\/01\/10024642\/ruler-0.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-5701 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5548\/2021\/01\/10024642\/ruler-0.jpg\" alt=\"\" width=\"1030\" height=\"182\" \/><\/a><\/p>\n<p>To determine the fraction of a foot, divide the inches by 12. Three inches divided by 12 is 0.25 feet. Nine inches divided by 12 is 0.75 feet.<\/p>\n<p><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5548\/2021\/01\/10025040\/Ruler-11.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5704\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5548\/2021\/01\/10025040\/Ruler-11.jpg\" alt=\"\" width=\"1050\" height=\"490\" \/><\/a><\/p>\n<div class=\"textbox examples\">\n<h3>Examples<\/h3>\n<p><strong>Example 1<\/strong>: Convert 31 feet 6 inches to feet only.<\/p>\n<p style=\"padding-left: 60px;\"><strong>Answer<\/strong>: 31 feet 6 inches = 31.5 feet<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Example 2<\/strong>: Convert 11 ft. 3 in. to feet only.<\/p>\n<p style=\"padding-left: 60px;\"><strong>Answer<\/strong>: 11 ft. 3 in. = 11.25 ft.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Example 3<\/strong>: Convert 64\u20199\u201d to feet only.<\/p>\n<p style=\"padding-left: 60px;\"><strong>Answer<\/strong>: 64\u20199\u201d = 64.75\u2019<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Example 4<\/strong>: Convert 42\u20196\u201d to feet only.<\/p>\n<p style=\"padding-left: 60px;\"><strong>Answer<\/strong>: 42\u20196\u201d = 42.5\u2019<\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<p>Four inches divided by 12 is 1\/3 or 0.33 feet (if we round to the nearest hundredth). Eight inches divided by 12 is 2\/3 or 0.67 (if we round).<\/p>\n<p><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5548\/2021\/01\/10024519\/Ruler-2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5700\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5548\/2021\/01\/10024519\/Ruler-2.jpg\" alt=\"\" width=\"1068\" height=\"513\" \/><\/a><\/p>\n<div class=\"textbox examples\">\n<h3>Examples<\/h3>\n<p><strong>Example 5<\/strong>: Convert 75 ft. 4 in. to feet only.<\/p>\n<p style=\"padding-left: 60px;\"><strong>Answer: <\/strong>75 ft. 4 in. = 75.33 ft.<strong><br \/>\n<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Example 6<\/strong>: Convert 21&#8217;8&#8243; to feet only.<\/p>\n<p style=\"padding-left: 60px;\"><strong>Answer: <\/strong>21&#8217;8&#8243; = 21.67&#8242;<strong><br \/>\n<\/strong><\/p>\n<\/div>\n<p style=\"text-align: center;\"><strong><span style=\"color: #ff0000;\">This is the end of the section. Close this tab and proceed to the corresponding assignment.<\/span><\/strong><\/p>\n","protected":false},"author":359705,"menu_order":8,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-5465","chapter","type-chapter","status-publish","hentry"],"part":356,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/wp-json\/pressbooks\/v2\/chapters\/5465","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/wp-json\/wp\/v2\/users\/359705"}],"version-history":[{"count":19,"href":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/wp-json\/pressbooks\/v2\/chapters\/5465\/revisions"}],"predecessor-version":[{"id":5696,"href":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/wp-json\/pressbooks\/v2\/chapters\/5465\/revisions\/5696"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/wp-json\/pressbooks\/v2\/parts\/356"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/wp-json\/pressbooks\/v2\/chapters\/5465\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/wp-json\/wp\/v2\/media?parent=5465"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/wp-json\/pressbooks\/v2\/chapter-type?post=5465"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/wp-json\/wp\/v2\/contributor?post=5465"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/frontrange-mathforliberalartscorequisite1\/wp-json\/wp\/v2\/license?post=5465"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}