{"id":46,"date":"2022-04-12T04:37:35","date_gmt":"2022-04-12T04:37:35","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=46"},"modified":"2025-08-05T10:53:50","modified_gmt":"2025-08-05T10:53:50","slug":"b-9-estimate-sums-word-problems","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/b-9-estimate-sums-word-problems\/","title":{"rendered":"B.9 Estimate sums: 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: word problems<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/B.9-Estimate-sums_-word-problems.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-large-font-size\"><strong>Key notes <\/strong> :<\/p>\n\n\n\n<div class=\"wp-block-group has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83c\udf88<strong> Understanding Estimation<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Estimation<\/strong>: The process of finding an approximate value rather than an exact answer.<\/li>\n\n\n\n<li><strong>Purpose<\/strong>: Helps in quickly assessing the total amount in real-life scenarios where precise calculations might not be necessary.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83c\udf86<strong>Steps for Estimating Sums in Word Problems<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Read the Problem Thoroughly<\/strong>:<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Identify the numbers involved and what is being asked.<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Example<\/strong>: &#8220;Emma bought 78 apples and 46 oranges. About how many fruits did she buy in total?&#8221;<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Choose an Appropriate Rounding Strategy<\/strong>:<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Round to the Nearest Ten<\/strong>: Round each number to the nearest ten if the numbers are relatively small.<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Round to the Nearest Hundred<\/strong>: For larger numbers, round to the nearest hundred if it simplifies the problem.<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Perform the Estimation<\/strong>:<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Add the rounded numbers to find the estimated sum.<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Example<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-normal-font-size\">Original Numbers: 78 and 46<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Rounded Numbers: 80 (78) and 50 (46)<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Estimated Sum: 80 + 50 = 130<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Check for Reasonableness<\/strong>:<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Ensure the estimated sum is sensible given the context of the problem.<\/p>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83c\udf87<strong>Example Word Problems<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Example 1<\/strong>:<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Problem<\/strong>: &#8220;A school has 124 students in one grade and 138 students in another grade. About how many students are there in total?&#8221;<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-normal-font-size\"><strong>Round Numbers<\/strong>: 120 (124) and 140 (138)<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Estimated Sum<\/strong>: 120 + 140 = 260<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Example 2<\/strong>:<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Problem<\/strong>: &#8220;A store sold 256 toys in the morning and 183 toys in the afternoon. About how many toys did the store sell in total?&#8221;<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-normal-font-size\"><strong>Round Numbers<\/strong>: 260 (256) and 180 (183)<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Estimated Sum<\/strong>: 260 + 180 = 440<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Example 3<\/strong>:<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Problem<\/strong>: &#8220;Liam read 92 pages of his book on Monday and 67 pages on Tuesday. About how many pages did he read in those two days?&#8221;<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Round Numbers<\/strong>: 90 (92) and 70 (67)<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Estimated Sum<\/strong>: 90 + 70 = 160<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83e\udde8<strong> Tips for Estimating Sums in Word Problems<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Focus on Key Numbers<\/strong>: Identify the key numbers and approximate them to simplify the addition.<\/li>\n\n\n\n<li><strong>Select the Best Rounding Method<\/strong>: Depending on the numbers, rounding to the nearest ten or hundred may be more practical.<\/li>\n\n\n\n<li><strong>Verify Your Estimate<\/strong>: Ensure that the estimated sum is a reasonable approximation of the actual total.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-3fefd20f8ce119a518e5f53333ab5486\" 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:#f5afe6\"><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-constrained wp-block-group-is-layout-constrained\">\n<p>\u25b6\ufe0f Irma worked for a moving company and had to move 947 kilograms of her customer&#8217;s belongings in small boxes and 177 kilograms in large boxes. In total, <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-31637d8e606e4152d6b5997fbcd2150f\" style=\"color:#b00012\"> how many kilograms did Irma pack in the boxes?<\/p>\n\n\n\n<p> Choose the better estimate.<\/p>\n<\/div><\/div>\n\n\n\n<p>Add the kilograms.<\/p>\n\n\n\n<p>947 + 177 = ?<\/p>\n\n\n\n<p>Round each number to the nearest hundred.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>947<\/td><td>&nbsp;+&nbsp;<\/td><td>177<\/td><td>&nbsp;= ?<\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><tr><td><strong>900<\/strong><\/td><td>&nbsp;+&nbsp;<\/td><td><strong>200<\/strong><\/td><td><strong>&nbsp;= 1,100<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">1,100 is the better estimate.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f3eb9b\"><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-constrained wp-block-group-is-layout-constrained\">\n<p>\u25b6\ufe0f A family and a couple live together in a duplex. Last year, the family used 341 kilowatts of electricity and the couple used 642 kilowatts. In total, <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-67ad692e0432027e7fbb34e26f39bf6a\" style=\"color:#b00012\">how many kilowatts did they use last year? <\/p>\n\n\n\n<p>Choose the better estimate.<\/p>\n<\/div><\/div>\n\n\n\n<p>Add the kilowatts.<\/p>\n\n\n\n<p>341 + 642 = ?<\/p>\n\n\n\n<p>Round each number to the nearest hundred.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>341<\/td><td>&nbsp;+&nbsp;<\/td><td>642<\/td><td>&nbsp;= ?<\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><tr><td>300<\/td><td>&nbsp;+&nbsp;<\/td><td>600<\/td><td>&nbsp;= 900<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">900 is the better estimate.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f8d1d1\"><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\udd25Jon works for a moving company and had to move 200 kilograms of his customer&#8217;s belongings in small boxes and 129 kilograms in large boxes. In total, <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-e3e65d9fb2d7c2a58ac5fdc37abf1969\" style=\"color:#b00012\">how many kilograms did Jon pack in the boxes? <\/p>\n\n\n\n<p>Choose the better estimate.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>30<\/li>\n\n\n\n<li>300<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Add the kilograms.<\/p>\n\n\n\n<p>200+129=?<\/p>\n\n\n\n<p>Round the second term to the nearest hundred.<\/p>\n\n\n\n<p>200+129=?<\/p>\n\n\n\n<p>200+100=300<\/p>\n\n\n\n<p>300 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\/76137\/968\/828\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-63.png\" alt=\"\" class=\"wp-image-6372\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-63.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-63-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-63-150x150.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\/76133\/436\/676\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-63.png\" alt=\"\" class=\"wp-image-6373\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-63.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-63-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-63-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Estimate sums: word problems Key notes : \ud83c\udf88 Understanding Estimation \ud83c\udf86Steps for Estimating Sums in Word Problems Read the Problem Thoroughly: Identify the numbers involved and what is being asked. Choose an Appropriate Rounding Strategy: Round to the Nearest Ten: Round each number to the nearest ten if the numbers are relatively small. Round to<a class=\"more-link\" href=\"https:\/\/4thclass.deltapublications.in\/index.php\/b-9-estimate-sums-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;B.9 Estimate sums: 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-46","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/46","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=46"}],"version-history":[{"count":27,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/46\/revisions"}],"predecessor-version":[{"id":15730,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/46\/revisions\/15730"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=46"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}