{"id":148,"date":"2022-04-12T05:00:14","date_gmt":"2022-04-12T05:00:14","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=148"},"modified":"2025-11-20T07:12:00","modified_gmt":"2025-11-20T07:12:00","slug":"f-3-estimate-sums-differences-products-and-quotients-word-problems","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/f-3-estimate-sums-differences-products-and-quotients-word-problems\/","title":{"rendered":"F.3 Estimate sums, differences, products and 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 sums, differences, products and quotients: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-bbf79a7dedb8bfae57277a5a477813ba\" style=\"color:#74008b\"><strong>Key notes : <\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>1\ufe0f\u20e3 What is Estimation?<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Estimation means finding a <strong>number close to the exact answer<\/strong>. \ud83d\udd22<\/li>\n\n\n\n<li>We estimate to <strong>save time<\/strong> or <strong>check our answers<\/strong>. \u23f1\ufe0f<\/li>\n\n\n\n<li>Example: 47 + 32 \u2248 50 + 30 = 80 \u2705<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>2\ufe0f\u20e3 Rounding for Estimation<\/strong><\/h3>\n\n\n\n<p>To estimate, we often <strong>round numbers<\/strong> to the nearest:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>10<\/strong> (for smaller numbers)<\/li>\n\n\n\n<li><strong>100<\/strong> (for bigger numbers)<\/li>\n<\/ul>\n\n\n\n<p>Rounding helps make calculations easier. \ud83c\udfaf<\/p>\n\n\n\n<p>Example: 76 \u2192 80, 243 \u2192 200<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>3\ufe0f\u20e3 Estimating Sums (Addition) \u2795<\/strong><\/h3>\n\n\n\n<p><strong>Step 1:<\/strong> Round each number to a friendly number.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Add the rounded numbers.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Word problem: A shop sold 48 apples on Monday and 73 on Tuesday. About how many apples were sold in total?<\/li>\n\n\n\n<li>Estimate: 48 \u2248 50, 73 \u2248 70 \u2192 50 + 70 = 120 apples<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>4\ufe0f\u20e3 Estimating Differences (Subtraction) \u2796<\/strong><\/h3>\n\n\n\n<p><strong>Step 1:<\/strong> Round each number.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Subtract the rounded numbers.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Word problem: There were 256 books in the library. 129 books were borrowed. About how many books remain?<\/li>\n\n\n\n<li>Estimate: 256 \u2248 260, 129 \u2248 130 \u2192 260 \u2212 130 = 130 books<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>5\ufe0f\u20e3 Estimating Products (Multiplication) \u2716\ufe0f<\/strong><\/h3>\n\n\n\n<p>Round numbers to <strong>easier numbers<\/strong>.<\/p>\n\n\n\n<p>Multiply the rounded numbers to estimate.<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Word problem: A class has 28 students. Each student has 6 pencils. About how many pencils are there?<\/li>\n\n\n\n<li>Estimate: 28 \u2248 30, 6 \u2192 6 \u2192 30 \u00d7 6 = 180 pencils<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>6\ufe0f\u20e3 Estimating Quotients (Division) \u2797<\/strong><\/h3>\n\n\n\n<p>Round the <strong>dividend<\/strong> (number to be divided) and sometimes the <strong>divisor<\/strong> to friendly numbers.<\/p>\n\n\n\n<p>Divide the rounded numbers to estimate.<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Word problem: 195 candies are to be shared among 9 children. About how many candies will each get?<\/li>\n\n\n\n<li>Estimate: 195 \u2248 200, 9 \u2248 10 \u2192 200 \u00f7 10 = 20 candies<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>7\ufe0f\u20e3 Tips for Word Problems<\/strong> \ud83d\udcdd<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Read carefully<\/strong>: Understand what is being asked. \ud83d\udc40<\/li>\n\n\n\n<li><strong>Identify operation<\/strong>: Decide whether it\u2019s +, \u2212, \u00d7, \u00f7.<\/li>\n\n\n\n<li><strong>Round numbers<\/strong>: Make them easier to work with.<\/li>\n\n\n\n<li><strong>Write the estimated answer<\/strong>: Use it to check reasonableness. \u2705<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>8\ufe0f\u20e3 Fun Example<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Word problem: A farmer has 47 cows and 36 goats. About how many animals does he have in total?<\/li>\n\n\n\n<li>Round: 47 \u2192 50, 36 \u2192 40<\/li>\n\n\n\n<li>Add: 50 + 40 = 90 animals \ud83d\udc04\ud83d\udc10<\/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-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-32e147440313d634625231506e928161\" style=\"background-color:#defae1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-88643d2cd01c4b2b8d45714940804606\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\u2708\ufe0f Insects have invaded Marcy&#8217;s house. She gets rid of 25 insects on her own. Then an exterminator gets rid of another 53 insects. When they finish, there are no insects left. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-04ab98b94c7d159f9a67e872103c3a0a\" style=\"color:#b00012\">how many insects were originally in Marcy&#8217;s house? <\/p>\n\n\n\n<p>Choose the better estimate.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>50<\/li>\n\n\n\n<li>80<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Add the number of insects Marcy gets rid of and the number of insects the exterminator gets rid of.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>53 + 25 = ?<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Round each number to the nearest ten.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"659\" height=\"341\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__7_-removebg-preview.png\" alt=\"\" class=\"wp-image-3617\" style=\"width:332px;height:auto\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__7_-removebg-preview.png 659w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__7_-removebg-preview-300x155.png 300w\" sizes=\"auto, (max-width: 659px) 100vw, 659px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>80 is the better estimate.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#ecefcf\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-94de4aa73dcaa684164b268b3f7dd39a\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\u2708\ufe0f There were a total of 69 books sitting on a bookcase in Colton&#8217;s bedroom until he sold 22 of them. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-e9bdefa1d897252ec9b501e4ce781373\" style=\"color:#b00012\"> how many books are left on the bookcase? <\/p>\n\n\n\n<p>Choose the better estimate.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>50<\/li>\n\n\n\n<li>20<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract the number of books sold from the total number of books.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>69 \u2212 22 = ?<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Round each number to the nearest ten.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"557\" height=\"293\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__8_-removebg-preview.png\" alt=\"\" class=\"wp-image-3618\" style=\"width:373px;height:auto\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__8_-removebg-preview.png 557w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__8_-removebg-preview-300x158.png 300w\" sizes=\"auto, (max-width: 557px) 100vw, 557px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>50 is the better estimate.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d6f8e7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-ccb52f6d1f123c005564fd742ebaf2cd\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\u2708\ufe0f A restaurant purchased 91 boxes of ketchup packets. Each box contained 55 packets of ketchup. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-bf075aa8d961c77fcc52cda9949ea495\" style=\"color:#b00012\"> how many ketchup packets in total did the restaurant purchase?<\/p>\n\n\n\n<p> Choose the better estimate.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>54000<\/li>\n\n\n\n<li>5400<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply:<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>91 \u00d7 55 = ?<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Round each factor to the nearest ten.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"577\" height=\"219\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__9_-removebg-preview.png\" alt=\"\" class=\"wp-image-3619\" style=\"width:464px;height:auto\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__9_-removebg-preview.png 577w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__9_-removebg-preview-300x114.png 300w\" sizes=\"auto, (max-width: 577px) 100vw, 577px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>5,400 ketchup packets is the better estimate. <\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!\ud83d\udd8a\ufe0f <\/strong><\/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\/80107\/407\/440\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-245.png\" alt=\"\" class=\"wp-image-7049\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-245.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-245-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-245-150x150.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\/80472\/382\/872\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-241.png\" alt=\"\" class=\"wp-image-7050\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-241.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-241-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-241-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Estimate sums, differences, products and quotients: word problems Key notes : 1\ufe0f\u20e3 What is Estimation? 2\ufe0f\u20e3 Rounding for Estimation To estimate, we often round numbers to the nearest: Rounding helps make calculations easier. \ud83c\udfaf Example: 76 \u2192 80, 243 \u2192 200 3\ufe0f\u20e3 Estimating Sums (Addition) \u2795 Step 1: Round each number to a friendly number.<a class=\"more-link\" href=\"https:\/\/4thclass.deltapublications.in\/index.php\/f-3-estimate-sums-differences-products-and-quotients-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;F.3 Estimate sums, differences, products and 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-148","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/148","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=148"}],"version-history":[{"count":16,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/148\/revisions"}],"predecessor-version":[{"id":16764,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/148\/revisions\/16764"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}