Which correctly applies the distributive property to show an equivalent expression to (8.6)(-2.5)2
(8)(2) – (0.6)(0.5)
(8)(- 2) – (0.6)(- 0.5)
(8.6)(2) – (8.6)(0.5)
(8.6)(- 2) + (8.6)(- 0.5)<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n The correct application of the distributive property to show an equivalent expression for (8.6)(\u22122.5)(8.6)(-2.5) is:<\/p>\n\n\n\n (8.6)(-2) + (8.6)(-0.5)<\/strong><\/p>\n\n\n\n The distributive property allows us to break a multiplication expression into smaller, easier-to-handle parts. In this case, (8.6)(\u22122.5)(8.6)(-2.5) is being multiplied, and we want to distribute the multiplication over the terms in \u22122.5-2.5.<\/p>\n\n\n\n To do this, we rewrite \u22122.5-2.5 as a sum of two terms: \u22122.5=\u22122+(\u22120.5)-2.5 = -2 + (-0.5)<\/p>\n\n\n\n Now, using the distributive property: (8.6)(\u22122.5)=(8.6)(\u22122)+(8.6)(\u22120.5)(8.6)(-2.5) = (8.6)(-2) + (8.6)(-0.5)<\/p>\n\n\n\n This works because when you distribute, you multiply each part of the sum separately. So, instead of multiplying 8.68.6 directly by \u22122.5-2.5, you multiply 8.68.6 by each part of the sum \u22122-2 and \u22120.5-0.5, and then add the results together. This gives you the same result as multiplying 8.68.6 by \u22122.5-2.5.<\/p>\n\n\n\n By applying the distributive property correctly, you break down the expression into manageable parts, ensuring that all terms are accounted for and the calculation is accurate.<\/p>\n","protected":false},"excerpt":{"rendered":" Which correctly applies the distributive property to show an equivalent expression to (8.6)(-2.5)2(8)(2) – (0.6)(0.5)(8)(- 2) – (0.6)(- 0.5)(8.6)(2) – (8.6)(0.5)(8.6)(- 2) + (8.6)(- 0.5) The correct answer and explanation is: The correct application of the distributive property to show an equivalent expression for (8.6)(\u22122.5)(8.6)(-2.5) is: (8.6)(-2) + (8.6)(-0.5) Explanation: The distributive property allows us […]<\/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-272974","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272974","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=272974"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272974\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=272974"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=272974"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=272974"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
Why the other options are incorrect:<\/h3>\n\n\n\n
\n