{"id":161361,"date":"2024-11-04T18:28:26","date_gmt":"2024-11-04T18:28:26","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=161361"},"modified":"2024-11-04T18:28:29","modified_gmt":"2024-11-04T18:28:29","slug":"what-is-the-distance-between-34-and-16","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/04\/what-is-the-distance-between-34-and-16\/","title":{"rendered":"What is the distance between -34 and 16"},"content":{"rendered":"\n<p>What is the distance between -34 and 16<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To find the distance between (-34) and (16) on a number line, we can use the concept of absolute distance between two points. The formula for the distance between two points, (a) and (b), on a number line is:<\/p>\n\n\n\n<p>[<br>\\text{Distance} = |a &#8211; b|<br>]<\/p>\n\n\n\n<p>In this case, (a = -34) and (b = 16). So:<\/p>\n\n\n\n<p>[<br>\\text{Distance} = |-34 &#8211; 16|<br>]<\/p>\n\n\n\n<p>Now, calculate inside the absolute value:<\/p>\n\n\n\n<p>[<br>-34 &#8211; 16 = -50<br>]<\/p>\n\n\n\n<p>Then take the absolute value:<\/p>\n\n\n\n<p>[<br>|-50| = 50<br>]<\/p>\n\n\n\n<p>Thus, the distance between (-34) and (16) is (50).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>This problem requires understanding the concept of absolute value and distance on a number line. When calculating distance, we&#8217;re looking at how far two numbers are from each other, without considering direction. The absolute value function, denoted by vertical bars (| \\cdot |), transforms any negative number into a positive one, which is useful here because distance cannot be negative.<\/p>\n\n\n\n<p>In terms of visualization, imagine a number line where (-34) is on the left side and (16) is on the right. To calculate the distance between them, you start from (-34) and move rightward until you reach (16). Counting each unit would indeed give you a distance of (50) units.<\/p>\n\n\n\n<p>This calculation can also be understood by breaking it down into parts: from (-34) to (0) is (34) units, and from (0) to (16) is another (16) units. Adding these two distances:<\/p>\n\n\n\n<p>[<br>34 + 16 = 50<br>]<\/p>\n\n\n\n<p>This confirms that the distance is indeed (50), no matter the method used.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the distance between -34 and 16 The Correct Answer and Explanation is : To find the distance between (-34) and (16) on a number line, we can use the concept of absolute distance between two points. The formula for the distance between two points, (a) and (b), on a number line is: [\\text{Distance} [&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-161361","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161361","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=161361"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161361\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=161361"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=161361"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=161361"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}