{"id":230777,"date":"2025-06-10T05:58:09","date_gmt":"2025-06-10T05:58:09","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230777"},"modified":"2025-06-10T05:58:12","modified_gmt":"2025-06-10T05:58:12","slug":"use-the-double-number-line-to-convert","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/10\/use-the-double-number-line-to-convert\/","title":{"rendered":"Use the double number line to convert"},"content":{"rendered":"\n<p>Use the double number line to convert<\/p>\n\n\n\n<p>gallons to quarts. Gallons 0<\/p>\n\n\n\n<p>1<\/p>\n\n\n\n<p>2<\/p>\n\n\n\n<p>3<\/p>\n\n\n\n<p>4<\/p>\n\n\n\n<p>5<\/p>\n\n\n\n<p>6 Quarts 0 2 4 6 8 10 12 14 16 18 20 22 24<\/p>\n\n\n\n<p>gallons = quarts<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/image-331.png\" alt=\"\" class=\"wp-image-230778\"\/><\/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<h3 class=\"wp-block-heading\"><strong>Correct Answer:<\/strong><\/h3>\n\n\n\n<p>314&nbsp;gallons=13&nbsp;quarts3\\frac{1}{4} \\text{ gallons} = 13 \\text{ quarts}341\u200b&nbsp;gallons=13&nbsp;quarts<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation<\/strong><\/h3>\n\n\n\n<p>The problem asks us to convert 3143\\frac{1}{4}341\u200b gallons into quarts using the provided double number line. First, let\u2019s understand the relationship between gallons and quarts:<\/p>\n\n\n\n<p><strong>1 gallon = 4 quarts<\/strong><\/p>\n\n\n\n<p>This means each tick mark for gallons corresponds to 4 quarts on the quarts line. The number line is labeled incrementally for gallons and quarts, showing fractional gallons and their equivalent in quarts.<\/p>\n\n\n\n<p>On the <strong>top number line<\/strong>, gallons are marked in quarters:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0,14,12,34,1,54,32,\u20260, \\frac{1}{4}, \\frac{1}{2}, \\frac{3}{4}, 1, \\frac{5}{4}, \\frac{3}{2}, \\ldots0,41\u200b,21\u200b,43\u200b,1,45\u200b,23\u200b,\u2026<\/li>\n<\/ul>\n\n\n\n<p>On the <strong>bottom number line<\/strong>, quarts are marked at intervals of 2:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0,2,4,6,8,10,12,14,16,\u20260, 2, 4, 6, 8, 10, 12, 14, 16, \\ldots0,2,4,6,8,10,12,14,16,\u2026<\/li>\n<\/ul>\n\n\n\n<p>To solve the problem, we find where <strong>3143\\frac{1}{4}341\u200b<\/strong> gallons is located on the top number line, then trace directly downward to the matching point on the quarts line.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3143\\frac{1}{4}341\u200b gallons is <strong>one tick past 3 gallons<\/strong>.<\/li>\n\n\n\n<li>At 3 gallons, the quarts line reads <strong>12 quarts<\/strong>.<\/li>\n\n\n\n<li>Each quarter gallon is 1 quart (since 1 gallon = 4 quarts, 14\\frac{1}{4}41\u200b gallon = 1 quart).<\/li>\n\n\n\n<li>So, 3143\\frac{1}{4}341\u200b gallons = 12+1=1312 + 1 = 1312+1=13 quarts.<\/li>\n<\/ul>\n\n\n\n<p>The box in the image mistakenly shows <strong>2625<\/strong>, which is incorrect. That appears to be a typographical or input error.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Conversion:<\/h3>\n\n\n\n<p>314&nbsp;gallons=13&nbsp;quarts3\\frac{1}{4} \\text{ gallons} = 13 \\text{ quarts}341\u200b&nbsp;gallons=13&nbsp;quarts<\/p>\n\n\n\n<p>This solution demonstrates how to use proportional reasoning and visual aids like double number lines to perform unit conversions accurately.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-785.jpeg\" alt=\"\" class=\"wp-image-230779\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Use the double number line to convert gallons to quarts. Gallons 0 1 2 3 4 5 6 Quarts 0 2 4 6 8 10 12 14 16 18 20 22 24 gallons = quarts The Correct Answer and Explanation is: Correct Answer: 314&nbsp;gallons=13&nbsp;quarts3\\frac{1}{4} \\text{ gallons} = 13 \\text{ quarts}341\u200b&nbsp;gallons=13&nbsp;quarts Explanation The problem asks us [&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-230777","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230777","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=230777"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230777\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230777"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230777"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230777"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}