{"id":272731,"date":"2025-07-27T05:44:59","date_gmt":"2025-07-27T05:44:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=272731"},"modified":"2025-07-27T05:45:02","modified_gmt":"2025-07-27T05:45:02","slug":"write-an-equivalent-expression-by-distributing-the","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/27\/write-an-equivalent-expression-by-distributing-the\/","title":{"rendered":"Write an equivalent expression by distributing the"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-852.png\" alt=\"\" class=\"wp-image-272732\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Of course. Here is the correct answer and a detailed explanation of the process.<\/p>\n\n\n\n<p><strong>Answer:<\/strong><br>9.8n &#8211; 9p &#8211; 9.9<\/p>\n\n\n\n<p>To find the equivalent expression for&nbsp;9.8n &#8211; (9p + 9.9), you need to apply the distributive property. The instruction specifically asks to distribute the negative sign that is located just outside the parentheses. Distributing a negative sign across a set of terms in parentheses means you multiply each term inside the parentheses by negative one. This effectively changes the sign of every term within the parentheses.<\/p>\n\n\n\n<p>Let&#8217;s break down the original expression:&nbsp;9.8n &#8211; (9p + 9.9).<\/p>\n\n\n\n<p>The first term,&nbsp;9.8n, is outside the parentheses, so it remains unchanged during the distribution process.<\/p>\n\n\n\n<p>Next, we focus on the part of the expression involving the parentheses:&nbsp;-(9p + 9.9).<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Identify the terms inside the parentheses. The terms are\u00a09p\u00a0and\u00a0+9.9.<\/li>\n\n\n\n<li>Distribute the negative sign to the first term,\u00a09p. A positive\u00a09p\u00a0becomes a negative\u00a09p, which we write as\u00a0-9p.<\/li>\n\n\n\n<li>Distribute the negative sign to the second term,\u00a0+9.9. The positive\u00a09.9\u00a0becomes a negative\u00a09.9, which we write as\u00a0-9.9.<\/li>\n<\/ol>\n\n\n\n<p>Now, you can rewrite the entire expression without the parentheses, using the new terms you have just calculated. You combine the initial term with the results of the distribution.<\/p>\n\n\n\n<p>The original&nbsp;9.8n&nbsp;stays the same. The&nbsp;-(9p + 9.9)&nbsp;becomes&nbsp;-9p &#8211; 9.9.<\/p>\n\n\n\n<p>Putting it all together, the final equivalent expression is&nbsp;9.8n &#8211; 9p &#8211; 9.9.<\/p>\n\n\n\n<p>This expression cannot be simplified any further because there are no like terms. The term&nbsp;9.8n&nbsp;contains the variable&nbsp;n, the term&nbsp;-9p&nbsp;contains the variable&nbsp;p, and&nbsp;-9.9&nbsp;is a constant. Since each term is distinct, they cannot be combined.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-2192.jpeg\" alt=\"\" class=\"wp-image-272733\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: Of course. Here is the correct answer and a detailed explanation of the process. Answer:9.8n &#8211; 9p &#8211; 9.9 To find the equivalent expression for&nbsp;9.8n &#8211; (9p + 9.9), you need to apply the distributive property. The instruction specifically asks to distribute the negative sign that is located just [&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-272731","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272731","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=272731"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272731\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=272731"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=272731"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=272731"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}