Correct algebraic expression:<\/strong> Explanation (about 300 words):<\/strong> First, let\u2019s look at \u201cthe quotient of a number x and 5.\u201d<\/strong> The word \u201cquotient\u201d<\/strong> refers to the result of a division problem. So, \u201cthe quotient of x and 5\u201d means we divide x by 5. This is written as:<\/p>\n\n\n\n x5\\frac{x}{5}5x\u200b<\/p>\n\n\n\n Next, we have \u201c4 less than\u201d<\/strong> this quotient. The phrase \u201cless than\u201d in mathematics often signals subtraction<\/strong>, but it also tells us to reverse the order<\/strong> of the terms. That means we are subtracting 4 from<\/strong> the expression x5\\frac{x}{5}5x\u200b, not the other way around.<\/p>\n\n\n\n So, \u201c4 less than the quotient of a number x and 5\u201d<\/strong> becomes:<\/p>\n\n\n\n x5\u22124\\frac{x}{5} – 45x\u200b\u22124<\/p>\n\n\n\n This expression means: take the number x, divide it by 5, then subtract 4 from the result.<\/p>\n\n\n\n A common mistake is to reverse the subtraction incorrectly and write it as:<\/p>\n\n\n\n 4\u2212x54 – \\frac{x}{5}4\u22125x\u200b<\/p>\n\n\n\n However, that would mean \u201cthe quotient of a number x and 5 less than 4,\u201d which is not the same thing.<\/p>\n\n\n\n Here\u2019s a quick example to illustrate: This matches the expression x5\u22124\\frac{x}{5} – 45x\u200b\u22124, and not 4\u2212x54 – \\frac{x}{5}4\u22125x\u200b, which would be 4\u22122=24 – 2 = 24\u22122=2.<\/p>\n\n\n\n Understanding how phrases like \u201cless than,\u201d \u201cmore than,\u201d or \u201cthe difference between\u201d affect the order of operations<\/strong> is key when translating words into algebra.<\/p>\n\n\n\n 4 less than the quotient of a number x and 5 The Correct Answer and Explanation is: Correct algebraic expression:x5\u22124\\frac{x}{5} – 45x\u200b\u22124 Explanation (about 300 words):The phrase \u201c4 less than the quotient of a number x and 5\u201d can be translated into an algebraic expression by breaking it down step by step. First, let\u2019s look […]<\/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-238799","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238799","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=238799"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238799\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=238799"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=238799"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=238799"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
x5\u22124\\frac{x}{5} – 45x\u200b\u22124<\/p>\n\n\n\n
\n\n\n\n
The phrase \u201c4 less than the quotient of a number x and 5\u201d<\/strong> can be translated into an algebraic expression by breaking it down step by step.<\/p>\n\n\n\n
If x=10x = 10x=10, then
x5=105=2\\frac{x}{5} = \\frac{10}{5} = 25x\u200b=510\u200b=2
Now subtract 4:
2\u22124=\u221222 – 4 = -22\u22124=\u22122<\/p>\n\n\n\n![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1085.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"