{"id":144795,"date":"2024-09-25T12:43:08","date_gmt":"2024-09-25T12:43:08","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=144795"},"modified":"2024-09-25T12:43:10","modified_gmt":"2024-09-25T12:43:10","slug":"which-expression-represents-one-half-of-x","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/25\/which-expression-represents-one-half-of-x\/","title":{"rendered":"Which expression represents \u201cone half of x"},"content":{"rendered":"\n<p>Which expression represents \u201cone half of x<\/p>\n\n\n\n<p>A.  x \u00d7 2<\/p>\n\n\n\n<p>B. x\u00f72<\/p>\n\n\n\n<p>C. x -1<strong>\/<\/strong>2<\/p>\n\n\n\n<p>D. x +1\/ 2<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The expression that represents \u201cone half of xxx\u201d is <strong>B. x\u00f72x \\div 2x\u00f72<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To understand why x\u00f72x \\div 2x\u00f72 is the correct representation of \u201cone half of xxx, we need to delve into the basic concepts of fractions and division.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understanding One Half<\/strong>: The term \u201cone half\u201d mathematically translates to the fraction 12\\frac{1}{2}21\u200b. When we say \u201cone half of xxx, we are referring to taking the total value of xxx and dividing it into two equal parts. Thus, we can express this as:12\u00d7x\\frac{1}{2} \\times x21\u200b\u00d7xor equivalently,x\u00f72x \\div 2x\u00f72Both expressions yield the same result, confirming that dividing xxx by 2 gives us one half of its value.<\/li>\n\n\n\n<li><strong>Analysis of Other Options<\/strong>:\n<ul class=\"wp-block-list\">\n<li><strong>Option A: x\u00d72x \\times 2x\u00d72<\/strong>: This expression means multiplying xxx by 2, which results in double the value of xxx, not half. For example, if x=4x = 4x=4, then x\u00d72=8x \\times 2 = 8x\u00d72=8, which is incorrect.<\/li>\n\n\n\n<li><strong>Option C: x\u221212x &#8211; \\frac{1}{2}x\u221221\u200b<\/strong>: This expression indicates that we are subtracting 12\\frac{1}{2}21\u200b from xxx. For instance, if x=4x = 4x=4, then x\u221212=3.5x &#8211; \\frac{1}{2} = 3.5x\u221221\u200b=3.5, which does not represent half of xxx.<\/li>\n\n\n\n<li><strong>Option D: x+12x + \\frac{1}{2}x+21\u200b<\/strong>: This expression adds 12\\frac{1}{2}21\u200b to xxx. For example, if x=4x = 4x=4, then x+12=4.5x + \\frac{1}{2} = 4.5x+21\u200b=4.5. Again, this does not represent half of xxx.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Mathematical Operations<\/strong>: Dividing by a number is a fundamental operation that allows us to find parts of a whole. In this case, x\u00f72x \\div 2x\u00f72 efficiently computes what half of xxx would be.<\/li>\n<\/ol>\n\n\n\n<p>In conclusion, the expression that correctly represents \u201cone half of xxx\u201d is <strong>B. x\u00f72x \\div 2x\u00f72<\/strong>, as it directly applies the mathematical concept of division to determine half the value of xxx.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which expression represents \u201cone half of x A. x \u00d7 2 B. x\u00f72 C. x -1\/2 D. x +1\/ 2 The Correct answer and Explanation is: The expression that represents \u201cone half of xxx\u201d is B. x\u00f72x \\div 2x\u00f72. Explanation: To understand why x\u00f72x \\div 2x\u00f72 is the correct representation of \u201cone half of xxx, [&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-144795","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144795","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=144795"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144795\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=144795"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=144795"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=144795"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}