{"id":242974,"date":"2025-07-04T10:40:53","date_gmt":"2025-07-04T10:40:53","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=242974"},"modified":"2025-07-04T10:40:55","modified_gmt":"2025-07-04T10:40:55","slug":"check-whether-75-divide-5-and-75-divide-5-are-equal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/check-whether-75-divide-5-and-75-divide-5-are-equal\/","title":{"rendered":"check whether (-75) divide 5 and 75 divide (-5) are equal"},"content":{"rendered":"\n<p>check whether (-75) divide 5 and 75 divide (-5) are equal<\/p>\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>To check if the two expressions, (\u221275)\u00f75(-75) \\div 5(\u221275)\u00f75 and 75\u00f7(\u22125)75 \\div (-5)75\u00f7(\u22125), are equal, let&#8217;s first evaluate both individually.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">First Expression: (\u221275)\u00f75(-75) \\div 5(\u221275)\u00f75<\/h3>\n\n\n\n<p>Dividing \u221275-75\u221275 by 555 gives:(\u221275)\u00f75=\u221215(-75) \\div 5 = -15(\u221275)\u00f75=\u221215<\/p>\n\n\n\n<p>The result is \u221215-15\u221215, since dividing a negative number by a positive number results in a negative quotient.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Second Expression: 75\u00f7(\u22125)75 \\div (-5)75\u00f7(\u22125)<\/h3>\n\n\n\n<p>Now, dividing 757575 by \u22125-5\u22125 gives:75\u00f7(\u22125)=\u22121575 \\div (-5) = -1575\u00f7(\u22125)=\u221215<\/p>\n\n\n\n<p>Here, dividing a positive number by a negative number also results in a negative quotient. The result is \u221215-15\u221215.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Both expressions (\u221275)\u00f75(-75) \\div 5(\u221275)\u00f75 and 75\u00f7(\u22125)75 \\div (-5)75\u00f7(\u22125) yield the same result of \u221215-15\u221215. Therefore, the two expressions are indeed equal.<\/p>\n\n\n\n<p>The general rule for division is that if you divide a positive number by a negative number, or a negative number by a positive number, the quotient will always be negative. The magnitude of the quotient is unaffected by whether the negative sign appears in the numerator or the denominator; only the sign changes.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-283.jpeg\" alt=\"\" class=\"wp-image-242975\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>check whether (-75) divide 5 and 75 divide (-5) are equal The Correct Answer and Explanation is: To check if the two expressions, (\u221275)\u00f75(-75) \\div 5(\u221275)\u00f75 and 75\u00f7(\u22125)75 \\div (-5)75\u00f7(\u22125), are equal, let&#8217;s first evaluate both individually. First Expression: (\u221275)\u00f75(-75) \\div 5(\u221275)\u00f75 Dividing \u221275-75\u221275 by 555 gives:(\u221275)\u00f75=\u221215(-75) \\div 5 = -15(\u221275)\u00f75=\u221215 The result is \u221215-15\u221215, [&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-242974","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242974","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=242974"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242974\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=242974"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=242974"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=242974"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}