{"id":231661,"date":"2025-06-11T09:38:15","date_gmt":"2025-06-11T09:38:15","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=231661"},"modified":"2025-06-11T09:38:18","modified_gmt":"2025-06-11T09:38:18","slug":"45-divided-by-5-divided-by-3-answer-fast-evaluate-this","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/11\/45-divided-by-5-divided-by-3-answer-fast-evaluate-this\/","title":{"rendered":"(-45) divided by 5) divided by (-3) answer fast evaluate this"},"content":{"rendered":"\n<p>(-45) divided by 5) divided by (-3) answer fast evaluate this<\/p>\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><strong>Answer:<\/strong>((\u221245)\u00f75)\u00f7(\u22123)=\u22123((-45) \\div 5) \\div (-3) = -3((\u221245)\u00f75)\u00f7(\u22123)=\u22123<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>To evaluate the expression ((\u221245)\u00f75)\u00f7(\u22123)((-45) \\div 5) \\div (-3)((\u221245)\u00f75)\u00f7(\u22123), we follow the <strong>order of operations<\/strong>, which tells us to proceed from <strong>left to right<\/strong> for division.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 1: Evaluate the expression inside the first set of parentheses.<\/strong>(\u221245)\u00f75(-45) \\div 5(\u221245)\u00f75<\/p>\n\n\n\n<p>Division of a negative number by a positive number results in a <strong>negative<\/strong> quotient. So,\u221245\u00f75=\u22129-45 \\div 5 = -9\u221245\u00f75=\u22129<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 2: Divide the result by -3.<\/strong>\u22129\u00f7(\u22123)-9 \\div (-3)\u22129\u00f7(\u22123)<\/p>\n\n\n\n<p>Now, dividing a <strong>negative<\/strong> number by another <strong>negative<\/strong> number gives a <strong>positive<\/strong> result because:\u2212a\u2212b=ab\\frac{-a}{-b} = \\frac{a}{b}\u2212b\u2212a\u200b=ba\u200b<\/p>\n\n\n\n<p>So,\u22129\u00f7(\u22123)=3-9 \\div (-3) = 3\u22129\u00f7(\u22123)=3<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Final Answer:<\/strong>((\u221245)\u00f75)\u00f7(\u22123)=3((-45) \\div 5) \\div (-3) = 3((\u221245)\u00f75)\u00f7(\u22123)=3<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>However, the user originally typed:<br><strong>\u201c(-45) divided by 5) divided by (-3)\u201d<\/strong><br>There is a stray closing parenthesis. Interpreting as:((\u221245)\u00f75)\u00f7(\u22123)((-45) \\div 5) \\div (-3)((\u221245)\u00f75)\u00f7(\u22123)<\/p>\n\n\n\n<p>which is the most natural and mathematically consistent parsing. If this is correct, then the answer is:((\u221245)\u00f75)\u00f7(\u22123)=(\u22129)\u00f7(\u22123)=3((-45) \\div 5) \\div (-3) = (-9) \\div (-3) = 3((\u221245)\u00f75)\u00f7(\u22123)=(\u22129)\u00f7(\u22123)=3<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Important Mathematical Concepts:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Division Rules for Signed Numbers:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Positive \u00f7 Positive = Positive<\/li>\n\n\n\n<li>Negative \u00f7 Positive = Negative<\/li>\n\n\n\n<li>Positive \u00f7 Negative = Negative<\/li>\n\n\n\n<li>Negative \u00f7 Negative = Positive<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Order of Operations (PEMDAS\/BODMAS):<\/strong>\n<ul class=\"wp-block-list\">\n<li>Parentheses first.<\/li>\n\n\n\n<li>Then division and multiplication from left to right.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>This ensures clarity and correctness in multi-step expressions. By following the correct order and rules for signs, we find that:((\u221245)\u00f75)\u00f7(\u22123)=3((-45) \\div 5) \\div (-3) = 3((\u221245)\u00f75)\u00f7(\u22123)=3<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-941.jpeg\" alt=\"\" class=\"wp-image-231662\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>(-45) divided by 5) divided by (-3) answer fast evaluate this The Correct Answer and Explanation is: Answer:((\u221245)\u00f75)\u00f7(\u22123)=\u22123((-45) \\div 5) \\div (-3) = -3((\u221245)\u00f75)\u00f7(\u22123)=\u22123 Explanation: To evaluate the expression ((\u221245)\u00f75)\u00f7(\u22123)((-45) \\div 5) \\div (-3)((\u221245)\u00f75)\u00f7(\u22123), we follow the order of operations, which tells us to proceed from left to right for division. Step 1: Evaluate the [&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-231661","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/231661","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=231661"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/231661\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=231661"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=231661"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=231661"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}