{"id":228052,"date":"2025-06-06T19:08:06","date_gmt":"2025-06-06T19:08:06","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228052"},"modified":"2025-06-06T19:08:08","modified_gmt":"2025-06-06T19:08:08","slug":"estimate-the-quotient-to-the-nearest-tens","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/estimate-the-quotient-to-the-nearest-tens\/","title":{"rendered":"Estimate the quotient to the nearest tens."},"content":{"rendered":"\n<p>Estimate the quotient to the nearest tens. 163 &#8211; 14 (A) 10 (B) 16 (C) 20 (D) 18 &#8212;&#8212;&#8212;-<\/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>To solve the problem, we need to <strong>estimate the quotient of the expression<\/strong>:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>163 \u00f7 14<\/strong>,<\/h3>\n\n\n\n<p>and <strong>round the result to the nearest tens<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Estimate the quotient<\/strong><\/h3>\n\n\n\n<p>Let\u2019s do the division:163\u00f714\u224811.64163 \u00f7 14 \u2248 11.64163\u00f714\u224811.64<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Round to the nearest tens<\/strong><\/h3>\n\n\n\n<p>Now, round 11.64 to the <strong>nearest tens<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The number <strong>11.64<\/strong> is <strong>closer to 10<\/strong> than to 20.<\/li>\n\n\n\n<li>So, <strong>rounding 11.64 to the nearest tens gives:<\/strong><\/li>\n<\/ul>\n\n\n\n<p>10\\boxed{10}10\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Correct Answer: (A) 10<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u270f\ufe0f <strong>Explanation<\/strong><\/h3>\n\n\n\n<p>To solve this type of problem, the goal is to estimate the <strong>quotient<\/strong>, which means we\u2019re looking for an approximate result of division, not the exact one. In this case, the problem is asking us to estimate <strong>163 \u00f7 14<\/strong> and round that result to the <strong>nearest tens<\/strong>.<\/p>\n\n\n\n<p>We begin by recognizing that <strong>163<\/strong> is a three-digit number and <strong>14<\/strong> is a two-digit number. We ask ourselves: <em>How many times does 14 fit into 163?<\/em> An exact division gives us <strong>163 \u00f7 14 \u2248 11.64<\/strong>.<\/p>\n\n\n\n<p>The next step is rounding this number to the nearest tens. When rounding to the nearest tens, we look at the <strong>ones digit<\/strong> (in this case, 1.64 has a tens part of 10 and a decimal part of 1.64). The number <strong>11.64<\/strong> is closer to <strong>10<\/strong> than to <strong>20<\/strong> on the number line. Here&#8217;s why:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>10 is the nearest multiple of 10 below 11.64.<\/li>\n\n\n\n<li>20 is the next multiple of 10 above.<\/li>\n\n\n\n<li>Since 11.64 is less than halfway between 10 and 20, we round it <strong>down<\/strong> to <strong>10<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Estimation like this is especially useful in real-life situations when an exact number isn\u2019t necessary, such as budgeting or planning. It helps you make quicker decisions without a calculator. Always remember that when estimating and rounding, focus on which multiple of ten the number is closest to.<\/p>\n\n\n\n<p>Therefore, the correct answer is <strong>(A) 10<\/strong>.<\/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-banner4-577.jpeg\" alt=\"\" class=\"wp-image-228053\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Estimate the quotient to the nearest tens. 163 &#8211; 14 (A) 10 (B) 16 (C) 20 (D) 18 &#8212;&#8212;&#8212;- The Correct Answer and Explanation is: To solve the problem, we need to estimate the quotient of the expression: 163 \u00f7 14, and round the result to the nearest tens. Step 1: Estimate the quotient Let\u2019s [&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-228052","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228052","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=228052"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228052\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228052"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228052"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228052"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}