To apply the commutative law<\/strong> to simplify the expression pqpqpq, we first need to define what the commutative property is. The commutative property states that the order in which you add or multiply numbers does not change the result. Specifically:<\/p>\n\n\n\n Given this, let’s look at the expression pqpqpq. According to the commutative property, we can rewrite this as qpqpqp, since multiplication is commutative. Therefore:pq=qppq = qppq=qp<\/p>\n\n\n\n Now, let\u2019s move on to the second part of the question: simplifying \u22129(\u22123)-9(-3)\u22129(\u22123).<\/p>\n\n\n\n When multiplying two negative numbers, the result will be positive. This is because a negative times a negative equals a positive. Therefore:\u22129\u00d7\u22123=27-9 \\times -3 = 27\u22129\u00d7\u22123=27<\/p>\n\n\n\n Multiplying negative numbers works because of the rules for signs in arithmetic:<\/p>\n\n\n\n In this case, we are multiplying two negative numbers: \u22129-9\u22129 and \u22123-3\u22123. According to the rule above, the result will be positive. The product is 272727.<\/p>\n\n\n\n \u22129(\u22123)=27-9(-3) = 27\u22129(\u22123)=27<\/p>\n\n\n\n By applying the commutative property to the expression pqpqpq, we know that it can be written as qpqpqp, but the numerical simplification of \u22129(\u22123)-9(-3)\u22129(\u22123) is 27.<\/p>\n\n\n\n use a commutative law to find an equivalent expression pq. an equivalent expression pq is= subtract the following -9(-3)= The Correct Answer and Explanation is: To apply the commutative law to simplify the expression pqpqpq, we first need to define what the commutative property is. The commutative property states that the order in which you […]<\/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-247984","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/247984","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=247984"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/247984\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=247984"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=247984"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=247984"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
Step 1: Understanding multiplication of negative numbers<\/h3>\n\n\n\n
Step 2: Detailed explanation<\/h3>\n\n\n\n
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Final answer:<\/h3>\n\n\n\n
![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-1073.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"