{"id":156123,"date":"2024-10-17T04:18:00","date_gmt":"2024-10-17T04:18:00","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=156123"},"modified":"2024-10-17T04:18:04","modified_gmt":"2024-10-17T04:18:04","slug":"use-multiplication-and-distributive-property-to-find-the-quotient","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/17\/use-multiplication-and-distributive-property-to-find-the-quotient\/","title":{"rendered":"Use multiplication and distributive property to find the quotient"},"content":{"rendered":"\n<p>Use multiplication and distributive property to find the quotient.<br>72 divided by 4?<\/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 quotient of ( 72 \\div 4 ) using multiplication and the distributive property, we can approach the problem by breaking down the dividend (72) into manageable parts that are easier to divide.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand the Division<\/h3>\n\n\n\n<p>The operation ( 72 \\div 4 ) asks how many times 4 can fit into 72. We can think of 72 as a sum of numbers that can be easily divided by 4.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Use the Distributive Property<\/h3>\n\n\n\n<p>We can express 72 as the sum of two numbers that are both divisible by 4. For instance, we can split 72 into ( 64 ) and ( 8 ):<\/p>\n\n\n\n<p>[<br>72 = 64 + 8<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Apply the Distributive Property<\/h3>\n\n\n\n<p>Now, we can rewrite our division problem using the distributive property:<\/p>\n\n\n\n<p>[<br>72 \\div 4 = (64 + 8) \\div 4<br>]<\/p>\n\n\n\n<p>By the distributive property, we can separate this into two parts:<\/p>\n\n\n\n<p>[<br>(64 \\div 4) + (8 \\div 4)<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Calculate Each Part<\/h3>\n\n\n\n<p>Now we can perform the division on each part:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>( 64 \\div 4 = 16 )<\/li>\n\n\n\n<li>( 8 \\div 4 = 2 )<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Step 5: Add the Results<\/h3>\n\n\n\n<p>Now, we combine the results:<\/p>\n\n\n\n<p>[<br>16 + 2 = 18<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Thus, the quotient of ( 72 \\div 4 ) is ( 18 ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary of the Method<\/h3>\n\n\n\n<p>In this approach, we utilized the distributive property to break down a complex division into simpler parts. By expressing ( 72 ) as ( 64 + 8 ), we transformed the problem into two easier divisions. This method not only helps in obtaining the answer but also deepens the understanding of how numbers interact with division, particularly in terms of how they can be decomposed into smaller, manageable components. Understanding this principle is beneficial for tackling more complex arithmetic and aids in mental math.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Use multiplication and distributive property to find the quotient.72 divided by 4? The Correct Answer and Explanation is : To find the quotient of ( 72 \\div 4 ) using multiplication and the distributive property, we can approach the problem by breaking down the dividend (72) into manageable parts that are easier to divide. Step [&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-156123","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156123","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=156123"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156123\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156123"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156123"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156123"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}