{"id":221525,"date":"2025-05-29T18:34:29","date_gmt":"2025-05-29T18:34:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=221525"},"modified":"2025-05-29T18:34:31","modified_gmt":"2025-05-29T18:34:31","slug":"the-distance-between-two-cities-is-described-as-260-kilometers","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/29\/the-distance-between-two-cities-is-described-as-260-kilometers\/","title":{"rendered":"The distance between two cities is described as 260 kilometers"},"content":{"rendered":"\n<p>The distance between two cities is described as 260 kilometers. What is this distance in miles? Make an estimate first, explaining your reasoning briefly. Then calculate your answer using the fact that 1 in. = 2.54 cm. Remember to round your answer appropriately: The way you write your answer should reflect its accuracy. Your answer should not be reported more accurately than your starting data.<\/p>\n\n\n\n<ol start=\"14\" class=\"wp-block-list\">\n<li>A classroom has a floor area of 600 square feet. What is the floor area of the classroom in square meters? Describe three different correct ways to solve this area problem. Each way of solving should use the fact that 1 in. = 2.54 cm. Explain your reasoning.<\/li>\n<\/ol>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Part 1: Converting 260 Kilometers to Miles<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Estimate:<\/strong><\/h4>\n\n\n\n<p>To estimate the distance from kilometers to miles, we can use the approximation:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>1 kilometer \u2248 0.6 miles<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>So:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>260 km \u00d7 0.6 \u2248 <strong>156 miles<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>This is a rough estimate.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Exact Calculation Using 1 in. = 2.54 cm:<\/strong><\/h4>\n\n\n\n<p>First, we need to convert kilometers to inches, and then from inches to miles.<\/p>\n\n\n\n<p>1 km = 1,000 meters<br>1 meter = 100 cm<br>1 inch = 2.54 cm<br>1 mile = 63,360 inches<\/p>\n\n\n\n<p>So:<\/p>\n\n\n\n<p>260 km<br>= 260 \u00d7 1,000 \u00d7 100 cm<br>= 26,000,000 cm<br>= 26,000,000 \u00f7 2.54 inches<br>\u2248 10,236,220.47 inches<br>= 10,236,220.47 \u00f7 63,360 miles<br>\u2248 <strong>161.5 miles<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Answer:<\/strong> The distance is approximately <strong>162 miles<\/strong> (rounded to 3 significant digits, matching the 260 km precision).<\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Part 2: Converting 600 ft\u00b2 to m\u00b2 Using 1 in. = 2.54 cm<\/h3>\n\n\n\n<p>We will show <strong>three correct methods<\/strong> to convert 600 ft\u00b2 to square meters, using the basic fact:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>1 inch = 2.54 cm<\/strong><\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Method 1: Convert Feet to Inches, Then to Centimeters, Then to Meters<\/strong><\/h4>\n\n\n\n<p>1 foot = 12 inches<br>So:<br>600 ft\u00b2 = (12 inches)\u00b2 \u00d7 600 = 144 in\u00b2 \u00d7 600 = 86,400 in\u00b2<br>Now convert square inches to square centimeters:<br>1 in = 2.54 cm \u2192 1 in\u00b2 = (2.54)\u00b2 cm\u00b2 = 6.4516 cm\u00b2<br>So:<br>86,400 in\u00b2 \u00d7 6.4516 cm\u00b2\/in\u00b2 \u2248 557,450.24 cm\u00b2<br>Convert to m\u00b2:<br>1 m\u00b2 = 10,000 cm\u00b2<br>\u2192 557,450.24 \u00f7 10,000 \u2248 <strong>55.7 m\u00b2<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Method 2: Convert 1 ft to Meters, Then Square<\/strong><\/h4>\n\n\n\n<p>1 ft = 12 inches = 12 \u00d7 2.54 cm = 30.48 cm = 0.3048 m<br>Then:<br>600 ft\u00b2 = (0.3048 m)\u00b2 \u00d7 600<br>= 0.09290304 m\u00b2 \u00d7 600 \u2248 <strong>55.74 m\u00b2<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Method 3: Use Derived Conversion Factor<\/strong><\/h4>\n\n\n\n<p>From method 2, we can store:<br>1 ft\u00b2 = 0.09290304 m\u00b2<br>So:<br>600 \u00d7 0.09290304 \u2248 <strong>55.74 m\u00b2<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Final Answer:<\/strong> The classroom area is approximately <strong>55.7 m\u00b2<\/strong><\/h3>\n\n\n\n<p>This value reflects the precision of the original data (600 ft\u00b2), which has 2\u20133 significant digits, so our answer is rounded accordingly.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/05\/learnexams-banner9-78.jpeg\" alt=\"\" class=\"wp-image-221526\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The distance between two cities is described as 260 kilometers. What is this distance in miles? Make an estimate first, explaining your reasoning briefly. Then calculate your answer using the fact that 1 in. = 2.54 cm. Remember to round your answer appropriately: The way you write your answer should reflect its accuracy. Your answer [&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-221525","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/221525","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=221525"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/221525\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=221525"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=221525"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=221525"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}