{"id":267741,"date":"2025-07-23T16:45:19","date_gmt":"2025-07-23T16:45:19","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=267741"},"modified":"2025-07-23T16:45:22","modified_gmt":"2025-07-23T16:45:22","slug":"calculator-resource-desmos-scientific-calculator","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/23\/calculator-resource-desmos-scientific-calculator\/","title":{"rendered":"Calculator Resource: Desmos Scientific Calculator"},"content":{"rendered":"\n<p>Chapter 1 Notes Calculator Resource: Desmos Scientific Calculator \u2022 Rounding: Rounding Decimals on the Desmos Scientific Calculator [+] \u2022 Fractions: Fraction Operations on the Desmos Scientific Calculator [+] Using the Factor Label Method Your car can drive 370 miles on a tank of 29 gallons. How far can it drive on 49 gallons? Round your answer to the nearest mile. 49 gallons 1 \u00d7 = How many gallons are needed to drive 1,320 miles? Round your answer to the nearest tenth of a gallon. 1,320 miles 1 \u00d7 = Video 1 Video 2 Post to forum<\/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\/image-658.png\" alt=\"\" class=\"wp-image-267746\"\/><\/figure>\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<p>Here are the correct answers and a detailed explanation for the problems.<\/p>\n\n\n\n<p><strong>Problem 1: How far can it drive on 49 gallons?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Filled-in equation:<\/strong><br>(49 gallons \/ 1) \u00d7 (370 miles \/ 29 gallons) = 625 miles<\/li>\n<\/ul>\n\n\n\n<p><strong>Problem 2: How many gallons are needed to drive 1,320 miles?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Filled-in equation:<\/strong><br>(1,320 miles \/ 1) \u00d7 (29 gallons \/ 370 miles) = 103.5 gallons<\/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>The Factor Label Method, also known as dimensional analysis, is a technique for converting units. The core principle is to multiply a given quantity by one or more conversion factors to arrive at the desired unit. A conversion factor is a fraction that is equal to one because its numerator and denominator represent the same value in different units.<\/p>\n\n\n\n<p>The problem provides the base conversion rate: the car travels 370 miles for every 29 gallons of gas. This can be written as two possible conversion factors:<br>(370 miles \/ 29 gallons) or (29 gallons \/ 370 miles)<\/p>\n\n\n\n<p><strong>Solving the First Problem<\/strong><\/p>\n\n\n\n<p>The goal is to find the distance in miles a car can travel on 49 gallons. We start with the given quantity, 49 gallons. To convert this to miles, we need to multiply it by a conversion factor that has gallons in the denominator. This will allow the &#8220;gallons&#8221; unit to cancel out, leaving &#8220;miles&#8221; as the final unit.<\/p>\n\n\n\n<p>The correct setup is:<br>(49 gallons \/ 1) \u00d7 (370 miles \/ 29 gallons)<\/p>\n\n\n\n<p>Here, the &#8220;gallons&#8221; in the numerator of the first term cancels with the &#8220;gallons&#8221; in the denominator of the second term. The calculation is:<br>(49 \u00d7 370) \/ 29 = 18,130 \/ 29 \u2248 625.172 miles<\/p>\n\n\n\n<p>The question asks to round to the nearest mile, so the answer is 625 miles.<\/p>\n\n\n\n<p><strong>Solving the Second Problem<\/strong><\/p>\n\n\n\n<p>The goal is to find the number of gallons needed to drive 1,320 miles. We start with the given quantity, 1,320 miles. To convert this to gallons, we must use a conversion factor with &#8220;miles&#8221; in the denominator to cancel the starting unit.<\/p>\n\n\n\n<p>The correct setup is:<br>(1,320 miles \/ 1) \u00d7 (29 gallons \/ 370 miles)<\/p>\n\n\n\n<p>The &#8220;miles&#8221; unit cancels out, leaving &#8220;gallons&#8221; as the final unit. The calculation is:<br>(1,320 \u00d7 29) \/ 370 = 38,280 \/ 370 \u2248 103.459 gallons<\/p>\n\n\n\n<p>The question asks to round to the nearest tenth of a gallon, so the answer is 103.5 gallons.<\/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-banner6-1712.jpeg\" alt=\"\" class=\"wp-image-267749\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Chapter 1 Notes Calculator Resource: Desmos Scientific Calculator \u2022 Rounding: Rounding Decimals on the Desmos Scientific Calculator [+] \u2022 Fractions: Fraction Operations on the Desmos Scientific Calculator [+] Using the Factor Label Method Your car can drive 370 miles on a tank of 29 gallons. How far can it drive on 49 gallons? Round your [&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-267741","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/267741","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=267741"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/267741\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=267741"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=267741"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=267741"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}