{"id":278292,"date":"2025-08-02T02:38:14","date_gmt":"2025-08-02T02:38:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=278292"},"modified":"2025-08-02T02:38:16","modified_gmt":"2025-08-02T02:38:16","slug":"plot-10-2-and-6-2-on-the-number-line-below","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/02\/plot-10-2-and-6-2-on-the-number-line-below\/","title":{"rendered":"Plot \u201410.2 and 6.2 on the number line below.\u00a0"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/image-103.png\" alt=\"\" class=\"wp-image-278293\"\/><\/figure>\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<p>The correct answer is&nbsp;<strong>16.4<\/strong>&nbsp;units.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p><strong>Plotting the Points<\/strong><\/p>\n\n\n\n<p>To begin, we need to locate both -10.2 and 6.2 on the number line. The number line shows integers marked, with zero at the center.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Plotting -10.2:<\/strong>\u00a0Negative numbers are located to the left of zero. First, find the mark for -10. The number -10.2 is slightly more negative than -10, so its position will be a very small distance to the left of the -10 mark.<\/li>\n\n\n\n<li><strong>Plotting 6.2:<\/strong>\u00a0Positive numbers are located to the right of zero. First, find the mark for the integer 5, and then count one unit to the right to find the mark for 6. The number 6.2 is slightly greater than 6, so its position will be a very small distance to the right of the 6 mark.<\/li>\n<\/ol>\n\n\n\n<p><strong>Finding the Distance<\/strong><\/p>\n\n\n\n<p>Distance on a number line represents the total space between two points and is always a positive value. There are two common methods to calculate it.<\/p>\n\n\n\n<p><strong>Method 1: Using Zero as a Reference Point<\/strong><\/p>\n\n\n\n<p>A simple way to visualize the distance is to calculate each number&#8217;s distance from zero and then add them together, since they are on opposite sides of zero.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The distance from -10.2 to 0 is 10.2 units.<\/li>\n\n\n\n<li>The distance from 0 to 6.2 is 6.2 units.<\/li>\n<\/ul>\n\n\n\n<p>To find the total distance between the two points, we add these individual distances:<br>10.2 + 6.2 = 16.4 units.<\/p>\n\n\n\n<p><strong>Method 2: Using the Distance Formula<\/strong><\/p>\n\n\n\n<p>The formal way to find the distance between any two points on a number line is to take the absolute value of their difference. The formula is |Point 2 \u2013 Point 1|.<\/p>\n\n\n\n<p>Let&#8217;s subtract -10.2 from 6.2:<br>Distance = |6.2 &#8211; (-10.2)|<\/p>\n\n\n\n<p>Subtracting a negative number is the same as adding its positive counterpart:<br>Distance = |6.2 + 10.2|<br>Distance = |16.4|<\/p>\n\n\n\n<p>The absolute value of 16.4 is simply 16.4. Therefore, the distance between -10.2 and 6.2 is 16.4 units. Both methods confirm the same result.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/learnexams-banner5-41.jpeg\" alt=\"\" class=\"wp-image-278294\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct answer is&nbsp;16.4&nbsp;units. Explanation Plotting the Points To begin, we need to locate both -10.2 and 6.2 on the number line. The number line shows integers marked, with zero at the center. Finding the Distance Distance on a number line represents the total space between two points and [&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-278292","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278292","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=278292"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278292\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=278292"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=278292"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=278292"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}