{"id":252734,"date":"2025-07-11T12:07:55","date_gmt":"2025-07-11T12:07:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=252734"},"modified":"2025-07-11T12:07:57","modified_gmt":"2025-07-11T12:07:57","slug":"to-convert-between-units-you-need-to-know-the-relationship-between-units-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/11\/to-convert-between-units-you-need-to-know-the-relationship-between-units-2\/","title":{"rendered":"To convert between units, you need to know the relationship between units."},"content":{"rendered":"\n<p>To convert between units, you need to know the relationship between units. For example, one mile equals 5280 feet. This relationship can now be used as a conversion factor, set up as required by the question. For each conversion, choose the correct arrangement of the conversion factor and complete the calculation. 1. Convert 7860 feet to miles 7860 feet \u00d7 ( A ) ( B ) A: Choose\u2026 B: Choose\u2026 7860 feet= miles 2. Convert 0.565 miles to feet 0.565 miles \u00d7 ( C ) ( D ) C: Choose\u2026 D: Choose\u2026 0.565 miles= feet<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Convert 7860 feet to miles<\/h3>\n\n\n\n<p><strong>Conversion Factor<\/strong>: 1 mile = 5280 feet<br>We want feet to cancel out and be left with miles.<br>So, set it up as: 7860&nbsp;feet\u00d7(1&nbsp;mile5280&nbsp;feet)=78605280&nbsp;miles7860\\ \\text{feet} \\times \\left( \\frac{1\\ \\text{mile}}{5280\\ \\text{feet}} \\right) = \\frac{7860}{5280}\\ \\text{miles}7860&nbsp;feet\u00d7(5280&nbsp;feet1&nbsp;mile\u200b)=52807860\u200b&nbsp;miles<\/p>\n\n\n\n<p><strong>Calculation<\/strong>: 78605280\u22481.4886&nbsp;miles\\frac{7860}{5280} \\approx 1.4886\\ \\text{miles}52807860\u200b\u22481.4886&nbsp;miles<\/p>\n\n\n\n<p>So:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A = 1 mile<\/li>\n\n\n\n<li>B = 5280 feet<\/li>\n\n\n\n<li><strong>Answer<\/strong>: 7860 feet = <strong>1.49 miles<\/strong> (rounded to 2 decimal places)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">2. Convert 0.565 miles to feet<\/h3>\n\n\n\n<p><strong>Conversion Factor<\/strong>: 1 mile = 5280 feet<br>We want miles to cancel out and be left with feet.<br>So, set it up as: 0.565&nbsp;miles\u00d7(5280&nbsp;feet1&nbsp;mile)=0.565\u00d75280&nbsp;feet0.565\\ \\text{miles} \\times \\left( \\frac{5280\\ \\text{feet}}{1\\ \\text{mile}} \\right) = 0.565 \\times 5280\\ \\text{feet}0.565&nbsp;miles\u00d7(1&nbsp;mile5280&nbsp;feet\u200b)=0.565\u00d75280&nbsp;feet<\/p>\n\n\n\n<p><strong>Calculation<\/strong>: 0.565\u00d75280=2983.2&nbsp;feet0.565 \\times 5280 = 2983.2\\ \\text{feet}0.565\u00d75280=2983.2&nbsp;feet<\/p>\n\n\n\n<p>So:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>C = 5280 feet<\/li>\n\n\n\n<li>D = 1 mile<\/li>\n\n\n\n<li><strong>Answer<\/strong>: 0.565 miles = <strong>2983.2 feet<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"> Explanation:<\/h3>\n\n\n\n<p>Unit conversion is a common mathematical process that involves changing a quantity from one unit to another while maintaining its value. To do this properly, you need a <strong>conversion factor<\/strong>, which is a known equivalency between two units. For example, since <strong>1 mile is exactly 5280 feet<\/strong>, you can use this as your base to convert between feet and miles.<\/p>\n\n\n\n<p>In the first question, we are converting feet to miles. Because we want the final unit in miles, we arrange the conversion factor so that &#8220;feet&#8221; cancels out. This means placing <strong>5280 feet in the denominator<\/strong> and <strong>1 mile in the numerator<\/strong>, resulting in the setup:<br>7860 feet \u00d7 (1 mile \/ 5280 feet).<br>Doing the division gives approximately <strong>1.49 miles<\/strong>.<\/p>\n\n\n\n<p>In the second question, we are converting from miles to feet. Here, we want miles to cancel out, so we arrange the conversion factor as <strong>5280 feet over 1 mile<\/strong>. Multiplying gives<br>0.565 miles \u00d7 (5280 feet \/ 1 mile) = <strong>2983.2 feet<\/strong>.<\/p>\n\n\n\n<p>The key idea is that when you multiply by a fraction that equals one (like 5280 feet \/ 5280 feet), you don\u2019t change the value, only the unit. By ensuring the unwanted unit cancels, you are left with the correct unit in your answer. Always check the setup: the unit you want to cancel should be opposite (top vs. bottom) to where it starts.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-265.jpeg\" alt=\"\" class=\"wp-image-252737\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>To convert between units, you need to know the relationship between units. For example, one mile equals 5280 feet. This relationship can now be used as a conversion factor, set up as required by the question. For each conversion, choose the correct arrangement of the conversion factor and complete the calculation. 1. Convert 7860 feet [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-252734","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252734","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=252734"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252734\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=252734"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=252734"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=252734"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}