{"id":163264,"date":"2024-11-08T16:47:19","date_gmt":"2024-11-08T16:47:19","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=163264"},"modified":"2024-11-08T16:47:23","modified_gmt":"2024-11-08T16:47:23","slug":"which-property-is-illustrated-by-the-equation-7x99x7","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/08\/which-property-is-illustrated-by-the-equation-7x99x7\/","title":{"rendered":"Which property is illustrated by the equation 7×9=9×7"},"content":{"rendered":"\n

Which property is illustrated by the equation 7×9=9×7?
A. Commutative Property of Multiplication
B. Inverse Property of Multiplication
C. Associate Property of Multiplication
D. Identity Property of Multiplication<\/p>\n\n\n\n

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

The correct answer is A. Commutative Property of Multiplication<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

The Commutative Property of Multiplication<\/strong> states that the order in which two numbers are multiplied does not affect the product. In other words, for any two numbers ( a ) and ( b ), the equation ( a \\times b = b \\times a ) holds true. This is exactly what is being illustrated by the equation:<\/p>\n\n\n\n

[
7 \\times 9 = 9 \\times 7
]<\/p>\n\n\n\n

In this case, the numbers 7 and 9 are multiplied, and regardless of whether 7 is multiplied by 9 or 9 is multiplied by 7, the result remains the same, which is 63. This demonstrates the commutative property of multiplication because the factors are switched (commuted), but the product remains unchanged.<\/p>\n\n\n\n

Other Properties Explained:<\/h3>\n\n\n\n
    \n
  1. B. Inverse Property of Multiplication<\/strong>: This property refers to the concept that for any non-zero number ( a ), there exists a number ( b ) such that ( a \\times b = 1 ). In other words, ( b ) is the multiplicative inverse of ( a ). For example, the multiplicative inverse of 7 is ( \\frac{1}{7} ), because ( 7 \\times \\frac{1}{7} = 1 ). The equation ( 7 \\times 9 = 9 \\times 7 ) does not demonstrate the inverse property.<\/li>\n\n\n\n
  2. C. Associative Property of Multiplication<\/strong>: The associative property states that when multiplying three or more numbers, the grouping of the numbers does not affect the product. It is expressed as ( (a \\times b) \\times c = a \\times (b \\times c) ). The given equation does not show the grouping of numbers; it only switches the order of two numbers, so it does not illustrate the associative property.<\/li>\n\n\n\n
  3. D. Identity Property of Multiplication<\/strong>: The identity property of multiplication states that any number multiplied by 1 remains unchanged. For example, ( 7 \\times 1 = 7 ). The given equation does not involve multiplying by 1, so it does not demonstrate the identity property.<\/li>\n<\/ol>\n\n\n\n

    Thus, the equation ( 7 \\times 9 = 9 \\times 7 ) clearly illustrates the Commutative Property of Multiplication<\/strong>, where the order of multiplication does not affect the result.<\/p>\n","protected":false},"excerpt":{"rendered":"

    Which property is illustrated by the equation 7×9=9×7?A. Commutative Property of MultiplicationB. Inverse Property of MultiplicationC. Associate Property of MultiplicationD. Identity Property of Multiplication The Correct Answer and Explanation is: The correct answer is A. Commutative Property of Multiplication. Explanation: The Commutative Property of Multiplication states that the order in which two numbers are multiplied […]<\/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-163264","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163264","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=163264"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163264\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=163264"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=163264"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=163264"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}