{"id":266914,"date":"2025-07-23T08:11:46","date_gmt":"2025-07-23T08:11:46","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=266914"},"modified":"2025-07-23T08:11:48","modified_gmt":"2025-07-23T08:11:48","slug":"verify-the-following","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/23\/verify-the-following\/","title":{"rendered":"Verify the following"},"content":{"rendered":"\n

Verify the following \u2022 15 x [7 + (-3)] = [15 x 7] + [15 x (-3)] \u2022 [(-21) x (-4)] + [(-21) x (-6)] = (-21) x [(-4) + (-6)]<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Let’s verify both of these algebraic expressions:<\/p>\n\n\n\n

1. 15 x [7 + (-3)] = [15 x 7] + [15 x (-3)]<\/strong><\/h3>\n\n\n\n

This is an example of the distributive property<\/strong> of multiplication over addition.<\/p>\n\n\n\n

    \n
  • Left-hand side:<\/strong>
    15\u00d7(7+(\u22123))15 \\times (7 + (-3))15\u00d7(7+(\u22123))
    15\u00d7(7\u22123)=15\u00d74=6015 \\times (7 – 3) = 15 \\times 4 = 6015\u00d7(7\u22123)=15\u00d74=60<\/li>\n\n\n\n
  • Right-hand side:<\/strong>
    (15\u00d77)+(15\u00d7\u22123)(15 \\times 7) + (15 \\times -3)(15\u00d77)+(15\u00d7\u22123)
    105+(\u221245)=105\u221245=60105 + (-45) = 105 – 45 = 60105+(\u221245)=105\u221245=60<\/li>\n<\/ul>\n\n\n\n

    Since both sides are equal (60=6060 = 6060=60), the equation is true<\/strong>.<\/p>\n\n\n\n

    2. [(-21) x (-4)] + [(-21) x (-6)] = (-21) x [(-4) + (-6)]<\/strong><\/h3>\n\n\n\n

    This is another example of the distributive property<\/strong> applied to two terms.<\/p>\n\n\n\n

      \n
    • Left-hand side:<\/strong>
      (\u221221)\u00d7(\u22124)+(\u221221)\u00d7(\u22126)(-21) \\times (-4) + (-21) \\times (-6)(\u221221)\u00d7(\u22124)+(\u221221)\u00d7(\u22126)
      84+126=21084 + 126 = 21084+126=210 (since multiplying two negatives gives a positive result)<\/li>\n\n\n\n
    • Right-hand side:<\/strong>
      (\u221221)\u00d7(\u22124+\u22126)=(\u221221)\u00d7(\u221210)(-21) \\times (-4 + -6) = (-21) \\times (-10)(\u221221)\u00d7(\u22124+\u22126)=(\u221221)\u00d7(\u221210)
      210210210 (multiplying two negatives results in a positive)<\/li>\n<\/ul>\n\n\n\n

      Since both sides are equal (210=210210 = 210210=210), this equation is also true<\/strong>.<\/p>\n\n\n\n

      Explanation:<\/h3>\n\n\n\n
        \n
      • The distributive property states that for any numbers aaa, bbb, and ccc, the equation a\u00d7(b+c)=(a\u00d7b)+(a\u00d7c)a \\times (b + c) = (a \\times b) + (a \\times c)a\u00d7(b+c)=(a\u00d7b)+(a\u00d7c) holds.<\/li>\n\n\n\n
      • In both of these expressions, the distributive property is used to simplify and break down the multiplication and addition operations, which leads to the verification of the equality.<\/li>\n<\/ul>\n\n\n\n
        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        Verify the following \u2022 15 x [7 + (-3)] = [15 x 7] + [15 x (-3)] \u2022 [(-21) x (-4)] + [(-21) x (-6)] = (-21) x [(-4) + (-6)] The Correct Answer and Explanation is: Let’s verify both of these algebraic expressions: 1. 15 x [7 + (-3)] = [15 x 7] + […]<\/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-266914","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/266914","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=266914"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/266914\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=266914"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=266914"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=266914"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}