ChatGPT said:<\/h6>\n\n\n\n
The multiplicative inverse of a number aaa is the number that, when multiplied by aaa, gives the result 1. In mathematical terms, the multiplicative inverse of aaa is denoted as a\u22121a^{-1}a\u22121, and it satisfies the equation:a\u00d7a\u22121=1a \\times a^{-1} = 1a\u00d7a\u22121=1<\/p>\n\n\n\n
For the number 2, we need to find the number xxx such that:2\u00d7x=12 \\times x = 12\u00d7x=1<\/p>\n\n\n\n
To solve for xxx, we divide both sides of the equation by 2:x=12x = \\frac{1}{2}x=21\u200b<\/p>\n\n\n\n
Thus, the multiplicative inverse of 2 is 12\\frac{1}{2}21\u200b.<\/p>\n\n\n\n
Why is this the multiplicative inverse?<\/h3>\n\n\n\n
When we multiply 2 by 12\\frac{1}{2}21\u200b, we get:2\u00d712=12 \\times \\frac{1}{2} = 12\u00d721\u200b=1<\/p>\n\n\n\n
This satisfies the definition of a multiplicative inverse because the result of the multiplication is 1, which is the identity element for multiplication.<\/p>\n\n\n\n
General Concept<\/h3>\n\n\n\n
The concept of a multiplicative inverse extends beyond just the number 2. For any non-zero number aaa, its multiplicative inverse is given by:a\u22121=1aa^{-1} = \\frac{1}{a}a\u22121=a1\u200b<\/p>\n\n\n\n
This holds true for all real numbers (except zero), and it\u2019s essential in algebra and number theory, especially when solving equations or simplifying expressions.<\/p>\n\n\n\n
In summary, the multiplicative inverse of 2 is 12\\frac{1}{2}21\u200b, and this property is part of the broader concept of inverses in mathematics.<\/p>\n\n\n\n What is the multiplicative inverse of 2? The Correct Answer and Explanation is: ChatGPT said: The multiplicative inverse of a number aaa is the number that, when multiplied by aaa, gives the result 1. In mathematical terms, the multiplicative inverse of aaa is denoted as a\u22121a^{-1}a\u22121, and it satisfies the equation:a\u00d7a\u22121=1a \\times a^{-1} = 1a\u00d7a\u22121=1 […]<\/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-264873","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/264873","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=264873"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/264873\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=264873"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=264873"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=264873"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1414.jpeg\")
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