{"id":52,"date":"2022-04-08T04:20:50","date_gmt":"2022-04-08T04:20:50","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=52"},"modified":"2025-11-19T11:00:08","modified_gmt":"2025-11-19T11:00:08","slug":"c-4estimate-quotients","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/c-4estimate-quotients\/","title":{"rendered":"C.4\tEstimate quotients"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Estimate quotients<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/C.4-Estimate-quotients-1.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-ac2bc047fac346cd34a46d2a76287634\" style=\"color:#74008b;text-transform:capitalize\">key notes:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td>\ud83d\udd0d <strong>What is Estimating a Quotient?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Estimating a quotient means <strong>finding an approximate answer<\/strong> to a division problem by using <strong>rounding<\/strong> to make the numbers easier to divide <strong>mentally<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td>\ud83e\udde0 <strong>Why Do We Estimate?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To quickly check if an answer is reasonable.<\/li>\n\n\n\n<li>To solve word problems quickly when exact answers aren\u2019t needed.<\/li>\n\n\n\n<li>To practice mental math and improve number sense.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td>\ud83d\udd22 <strong>Steps to Estimate a Quotient:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Round the dividend and divisor<\/strong> to numbers that are easy to divide.<\/li>\n\n\n\n<li><strong>Divide the rounded numbers<\/strong> to find the estimated quotient.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td>\u2705 <strong>Examples:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\">Example 1:<\/h4>\n\n\n\n<p><strong>872 \u00f7 4<\/strong><br>\ud83d\udd39 Round 872 to <strong>880<\/strong> or <strong>800<\/strong> (both are near and easier to divide)<br>\ud83d\udd39 800 \u00f7 4 = <strong>200<\/strong><br>\ud83d\udc49 <strong>Estimated Quotient: 200<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\">Example 2:<\/h4>\n\n\n\n<p><strong>1,245 \u00f7 6<\/strong><br>\ud83d\udd39 Round 1,245 to <strong>1,200<\/strong><br>\ud83d\udd39 1,200 \u00f7 6 = <strong>200<\/strong><br>\ud83d\udc49 <strong>Estimated Quotient: 200<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\">Example 3:<\/h4>\n\n\n\n<p><strong>3,950 \u00f7 80<\/strong><br>\ud83d\udd39 Round 3,950 to <strong>4,000<\/strong>, and 80 stays as <strong>80<\/strong><br>\ud83d\udd39 4,000 \u00f7 80 = <strong>50<\/strong><br>\ud83d\udc49 <strong>Estimated Quotient: 50<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td>\ud83d\udcdd <strong>Practice Problems: (Estimate Only)<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>2,198 \u00f7 7 = ______<\/li>\n\n\n\n<li>9,175 \u00f7 9 = ______<\/li>\n\n\n\n<li>3,302 \u00f7 60 = ______<\/li>\n\n\n\n<li>4,786 \u00f7 50 = ______<\/li>\n\n\n\n<li>6,421 \u00f7 8 = ______<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udca1 <strong>Tips for Estimating:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Use numbers like 100, 500, 1,000 for rounding.<\/li>\n\n\n\n<li>Always check if your answer is <strong>close to the actual division<\/strong>.<\/li>\n\n\n\n<li>Estimating helps to spot errors in real calculations.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-link-color has-normal-font-size wp-elements-94a1947eab98c8c40e5a85fabed9d7c6\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#cfffd1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\udd14 Estimate. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-b2f035b770a5eb6c42997c6a1167a8e5\" style=\"color:#b00012\">Which sign makes the statement true?<\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">2,10,193&nbsp;_____&nbsp;8,35,834 \u00f7 5<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">&lt;      \/      &gt;<\/p>\n<\/div><\/div>\n\n\n\n<p>Use a compatible number.<\/p>\n\n\n\n<p>210,193 ______ 835,834 \u00f7 5<br>210,193 ______ 850,000 \u00f7 5<\/p>\n\n\n\n<p>Now divide:<\/p>\n\n\n\n<p>210,193 ______ 850,000 \u00f7 5<br>210,193 ______ 170,000<\/p>\n\n\n\n<p>210,193 is greater than 170,000. <\/p>\n\n\n\n<p class=\"has-normal-font-size\">The &gt; sign makes the statement true.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#9fd5ee\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\udd14 EstiEstimate. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-b2f035b770a5eb6c42997c6a1167a8e5\" style=\"color:#b00012\">Which sign makes the statement true?<\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">5,421 \u00f7 67&nbsp;____&nbsp;41<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">&lt;      \/      &gt;<\/p>\n<\/div><\/div>\n\n\n\n<p>Use a compatible number.<\/p>\n\n\n\n<p>5,421 \u00f7 67 _____ 41<br>5,600 \u00f7 70 _____ 41<\/p>\n\n\n\n<p>Now divide:<\/p>\n\n\n\n<p>5,600 \u00f7 70 ____ 41<br>             80 ____ 41<\/p>\n\n\n\n<p>80 is greater than 41. <\/p>\n\n\n\n<p class=\"has-normal-font-size\">The &gt; sign makes the statement true.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f0b7cb\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\ud83d\udd14 Estimate. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-b2f035b770a5eb6c42997c6a1167a8e5\" style=\"color:#b00012\">Which sign makes the statement true?<\/p>\n\n\n\n<p>441,976 \u00f7 7&nbsp;?&nbsp;35,002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&gt;<\/li>\n\n\n\n<li>&lt;<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Use a compatible number.<\/p>\n\n\n\n<p>441,976 \u00f7 7 35,002<\/p>\n\n\n\n<p>420,000 \u00f7 7 35,002<\/p>\n\n\n\n<p>Now divide:<\/p>\n\n\n\n<p>420,000 \u00f7 7 35,002<\/p>\n\n\n\n<p>60,000 35,002<\/p>\n\n\n\n<p>60,000 is greater than 35,002. <\/p>\n\n\n\n<p>The &gt; sign makes the statement true.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice :<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76331\/797\/874\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-38.png\" alt=\"\" class=\"wp-image-6091\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-38.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-38-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-38-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-38-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76342\/858\/481\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-39.png\" alt=\"\" class=\"wp-image-6092\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-39.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-39-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-39-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-39-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Estimate quotients key notes: \ud83d\udd0d What is Estimating a Quotient? Estimating a quotient means finding an approximate answer to a division problem by using rounding to make the numbers easier to divide mentally. \ud83e\udde0 Why Do We Estimate? \ud83d\udd22 Steps to Estimate a Quotient: \u2705 Examples: Example 1: 872 \u00f7 4\ud83d\udd39 Round 872 to 880<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/c-4estimate-quotients\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.4\tEstimate quotients&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-52","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/52","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=52"}],"version-history":[{"count":21,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/52\/revisions"}],"predecessor-version":[{"id":17361,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/52\/revisions\/17361"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=52"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}