{"id":132,"date":"2022-04-12T04:56:00","date_gmt":"2022-04-12T04:56:00","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=132"},"modified":"2025-11-18T10:05:30","modified_gmt":"2025-11-18T10:05:30","slug":"e-10-estimate-quotients-word-problems","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/e-10-estimate-quotients-word-problems\/","title":{"rendered":"E.10 Estimate quotients: word problems"},"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: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-c94a149b099fb3f23f355c7448aa9d47\" style=\"color:#74008b\"><strong>key notes:<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udd22 What is a Quotient?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>quotient<\/strong> is the result of <strong>division<\/strong>.<\/li>\n\n\n\n<li>Example: 12 \u00f7 3 = 4 \u2192 <strong>4 is the quotient<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83c\udfaf What is Estimation?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Estimation<\/strong> means finding an <strong>approximate answer<\/strong>, not the exact one.<\/li>\n\n\n\n<li>Helps to <strong>check answers quickly<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83e\uddee Steps to Estimate Quotients in Word Problems<\/strong><\/p>\n\n\n\n<p><strong>Step 1: Read the problem carefully \ud83d\udcd6<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Understand what is being divided and by what.<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2: Round the numbers \ud83d\udd04<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Round the <strong>dividend<\/strong> (the number being divided) and <strong>divisor<\/strong> (the number you divide by) to <strong>friendly numbers<\/strong>.<\/li>\n\n\n\n<li>Friendly numbers: 10, 20, 50, 100\u2026<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 3: Divide the rounded numbers \u2797<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This gives you an <strong>estimated quotient<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Step 4: Check if the estimate makes sense \u2705<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Ask: \u201cIs my answer too big or too small?\u201d<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udca1 Tips for Word Problems<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look for <strong>keywords<\/strong>: \u201cshared equally\u201d, \u201cper\u201d, \u201ceach\u201d, \u201cdivided among\u201d.<\/li>\n\n\n\n<li>Use <strong>rounding<\/strong> to make division easier.<\/li>\n\n\n\n<li>Always <strong>compare<\/strong> your estimate with the numbers in the problem.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83c\udf1f Example Problem<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u201cThere are <strong>98 candies \ud83c\udf6c<\/strong> and <strong>6 kids \ud83d\udc66\ud83d\udc67<\/strong>. How many candies does each get?\u201d<br><strong>Step 1:<\/strong> Round 98 \u2192 100, 6 \u2192 5<br><strong>Step 2:<\/strong> 100 \u00f7 5 = 20<br>\u2705 <strong>Estimated quotient = 20 candies per child<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udcdd Remember:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Estimation<\/strong> is <strong>not exact<\/strong>.<\/li>\n\n\n\n<li>It helps to <strong>quickly check answers<\/strong> or make <strong>reasonable guesses<\/strong>.<\/li>\n\n\n\n<li>Always <strong>think about whether your answer is reasonable<\/strong> in the context of the problem.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#7cf4f0\"><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\udd25 A group of 71 travelers needs to take taxi cabs across the city. If each taxi cab holds 5 people, <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-9e21ebdec5252d6a0fc6807e19c30f89\" style=\"color:#b00012\">how many cabs will the group need? <\/p>\n\n\n\n<p>Choose the better estimate.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>18<\/li>\n\n\n\n<li>14<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Divide the number of travelers by the number in each taxi cab.<\/p>\n\n\n\n<p>71 \u00f7 5 = ?<\/p>\n\n\n\n<p>Use a compatible number to estimate the quotient.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">71<\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;\u00f7&nbsp;<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;= ?<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">70<\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;\u00f7&nbsp;<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;= 14<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>14 taxi cabs is the better estimate.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f5f497\"><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\udd25 A group of 94 golfers wants to rent golf carts. If each cart can hold 6 golfers, <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-4a48cc46c120b6d703b632cb1b177a9e\" style=\"color:#b00012\">how many carts will the group need?<\/p>\n\n\n\n<p> Choose the better estimate.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>16<\/li>\n\n\n\n<li>19<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Divide the number of golfers by the number in each cart.<\/p>\n\n\n\n<p>94 \u00f7 6 = ?<\/p>\n\n\n\n<p>Use a compatible number to estimate the quotient.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">94<\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;\u00f7&nbsp;<\/td><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;= ?<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">96<\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;\u00f7&nbsp;<\/td><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;= 16<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>16 carts is the better estimate.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#cccaf1\"><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\udd25The town picnic committee has&nbsp;\u20b9959 to buy watermelons. If each watermelon costs&nbsp;\u20b98, <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-5578c573895adb30193833227f87844b\" style=\"color:#b00012\">how many watermelons can the committee buy?<\/p>\n\n\n\n<p> Choose the better estimate.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>120<\/li>\n\n\n\n<li>170<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Divide the amount of money by the cost of each watermelon.<\/p>\n\n\n\n<p>959 \u00f7 8 = ?<\/p>\n\n\n\n<p>Use a compatible number to estimate the quotient.<\/p>\n\n\n\n<p>959 \u00f7 8 = ?<\/p>\n\n\n\n<p>960 \u00f7 8 = 120<\/p>\n\n\n\n<p>120 watermelons is the better estimate.<\/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\/79546\/757\/334\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-237.png\" alt=\"\" class=\"wp-image-7017\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-237.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-237-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-237-150x150.png 150w\" 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\/102335\/046\/685\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-232.png\" alt=\"\" class=\"wp-image-7018\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-232.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-232-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-232-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Estimate quotients: word problems key notes: \ud83d\udd22 What is a Quotient? \ud83c\udfaf What is Estimation? \ud83e\uddee Steps to Estimate Quotients in Word Problems Step 1: Read the problem carefully \ud83d\udcd6 Step 2: Round the numbers \ud83d\udd04 Step 3: Divide the rounded numbers \u2797 Step 4: Check if the estimate makes sense \u2705 \ud83d\udca1 Tips for<a class=\"more-link\" href=\"https:\/\/4thclass.deltapublications.in\/index.php\/e-10-estimate-quotients-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.10 Estimate quotients: word problems&#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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-132","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/132","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=132"}],"version-history":[{"count":23,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/132\/revisions"}],"predecessor-version":[{"id":16750,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/132\/revisions\/16750"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=132"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}