{"id":160754,"date":"2024-11-03T09:01:38","date_gmt":"2024-11-03T09:01:38","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=160754"},"modified":"2024-11-03T09:01:41","modified_gmt":"2024-11-03T09:01:41","slug":"divide-mentally-270-divided-by-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/03\/divide-mentally-270-divided-by-3\/","title":{"rendered":"Divide mentally: 270 divided by 3"},"content":{"rendered":"\n<p>Divide mentally: 270 divided by 3<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To divide 270 by 3 mentally, we can follow a straightforward approach.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understanding the Division<\/h3>\n\n\n\n<p>The expression (270 \\div 3) means we want to find out how many times 3 fits into 270. This can be visualized as distributing 270 into groups of 3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Simplifying the Problem<\/h3>\n\n\n\n<p>A helpful technique in mental math is to break down the numbers into more manageable parts. We can think of 270 as 3 times something. We can first simplify 270:<\/p>\n\n\n\n<p>[<br>270 = 270 \\div 3<br>]<\/p>\n\n\n\n<p>Instead of trying to divide the entire number at once, we can also separate 270 into hundreds, tens, and units for easier computation:<\/p>\n\n\n\n<p>[<br>270 = 200 + 70<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Divide Each Part by 3<\/h3>\n\n\n\n<p>Now, we can divide each of these parts by 3:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Dividing 200 by 3<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To do this, we can think about how many times 3 fits into 200. The nearest multiple of 3 that is less than 200 is 198 (which is 3 times 66). So,<br>[<br>200 \\div 3 \\approx 66.67<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Dividing 70 by 3<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Again, we can consider how many times 3 fits into 70. The nearest multiple of 3 less than 70 is 69 (which is 3 times 23). Thus,<br>[<br>70 \\div 3 \\approx 23.33<br>]<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Combine the Results<\/h3>\n\n\n\n<p>Now, we add the results from the two divisions:<br>[<br>66.67 + 23.33 = 90<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 5: Verify the Calculation<\/h3>\n\n\n\n<p>To ensure that our answer is correct, we can multiply our result by 3:<br>[<br>90 \\times 3 = 270<br>]<\/p>\n\n\n\n<p>Since this matches the original number we started with, we confirm that the division is accurate.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Thus, (270 \\div 3 = 90). Mental math techniques, such as breaking down numbers into smaller parts, can significantly ease the process of division and make calculations more manageable. Through practice, these techniques enhance numerical fluency and confidence in handling arithmetic operations without the need for paper and pencil or a calculator.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Divide mentally: 270 divided by 3 The Correct Answer and Explanation is: To divide 270 by 3 mentally, we can follow a straightforward approach. Step 1: Understanding the Division The expression (270 \\div 3) means we want to find out how many times 3 fits into 270. This can be visualized as distributing 270 into [&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-160754","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160754","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=160754"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160754\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160754"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160754"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160754"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}