{"id":37,"date":"2022-04-12T05:53:28","date_gmt":"2022-04-12T05:53:28","guid":{"rendered":"http:\/\/5thclass.deltapublications.in\/?page_id=37"},"modified":"2025-09-06T05:34:10","modified_gmt":"2025-09-06T05:34:10","slug":"b-7-estimate-sums-and-differences-of-whole-numbers","status":"publish","type":"page","link":"https:\/\/5thclass.deltapublications.in\/index.php\/b-7-estimate-sums-and-differences-of-whole-numbers\/","title":{"rendered":"B.7 Estimate sums and differences of whole numbers"},"content":{"rendered":"\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<h2 class=\"wp-block-heading has-text-align-center has-background-background-color has-text-color has-background\" style=\"color:#00056d;text-transform:uppercase\"><strong>Estimate sums and differences of whole numbers<\/strong><\/h2>\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\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAGwhXuFxTQ\/yY0pb5WW1Pgry61hgSOAcg\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwhXuFxTQ&#x2F;yY0pb5WW1Pgry61hgSOAcg&#x2F;watch?utm_content=DAGwhXuFxTQ&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Class-5 Topic: Estimate Sums and Difference of Whole Numbers<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-large-font-size\"><strong>Key Notes <\/strong> :<\/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:#000060\"><tbody><tr><td>\ud83c\udf87<strong>What is Estimation?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Estimation<\/strong>: The process of finding an approximate value that is close to the actual value, often by rounding numbers.<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Purpose<\/strong>: Estimation helps make complex calculations simpler and quicker, especially when an exact answer is not necessary.<\/li>\n\n\n\n<li><strong>Example<\/strong>: If you estimate the sum of 47 + 52, you might round them to 50 + 50 = 100.<\/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:#000060\"><tbody><tr><td>\ud83c\udf81<strong> When to Use Estimation<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Real-Life Situations<\/strong>: Estimation is useful when:<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Shopping and wanting to quickly determine the total cost.<\/li>\n\n\n\n<li>Planning a budget or making predictions.<\/li>\n\n\n\n<li>Checking the reasonableness of an answer without needing exact numbers.<\/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:#000060\"><tbody><tr><td>\ud83e\udde8<strong>Steps for Estimating Sums and Differences<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Round the Numbers<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Step 1<\/strong>: Identify the place value to which you will round (usually the nearest ten, hundred, or thousand).<\/li>\n\n\n\n<li><strong>Step 2<\/strong>: Round each number to that place value.<\/li>\n\n\n\n<li><strong>Example<\/strong>: To estimate 456+378, round each number to the nearest hundred: 456 rounds to 500, and 378 rounds to 400.<\/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:#000060\"><tbody><tr><td>\ud83e\udde8<strong><strong>Perform the Operation<\/strong>:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Addition<\/strong>: Add the rounded numbers.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example<\/strong>: 500+400=900<\/li>\n<\/ul>\n\n\n\n<p><strong>Subtraction<\/strong>: Subtract the rounded numbers.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example<\/strong>: For 456\u2212378, after rounding to the nearest hundred, 500\u2212400=100<\/li>\n<\/ul>\n\n\n\n<p><strong>Compare with the Exact Answer<\/strong> (Optional):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>After finding the estimated sum or difference, you can calculate the exact answer and compare to see how close your estimate is.<\/li>\n\n\n\n<li><strong>Example<\/strong>: 456+378=834 (exact), compared to the estimate of 900.<\/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:#000060\"><tbody><tr><td>\ud83c\udf81<strong> Rounding Rules<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Round Up<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the digit to the right of the place you\u2019re rounding to is 5 or more, round up.<\/li>\n\n\n\n<li><strong>Example<\/strong>: 76 rounds to 80 (nearest ten).<\/li>\n<\/ul>\n\n\n\n<p><strong>Round Down<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the digit to the right is less than 5, round down.<\/li>\n\n\n\n<li><strong>Example<\/strong>: 42 rounds to 40 (nearest ten).<\/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:#000060\"><tbody><tr><td><strong> Estimation Techniques<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Front-End Estimation<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Focuses on the leftmost digits of the numbers (the \u201cfront\u201d).<\/li>\n\n\n\n<li><strong>Example<\/strong>: 435+289 \u2192 estimate using 400 and 200 to get 600.<\/li>\n<\/ul>\n\n\n\n<p><strong>Clustering<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Used when numbers in a set are close in value. Round them to the same value for a quicker estimate.<\/li>\n\n\n\n<li><strong>Example<\/strong>: 48,52,51 \u2192 round each to 50, then estimate 50+50+50=150<\/li>\n<\/ul>\n\n\n\n<p><strong>Compatible Numbers<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Adjust numbers slightly to make mental math easier.<\/li>\n\n\n\n<li><strong>Example<\/strong>: For 299+502, round to 300 and 500, then add 300+500=800<\/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:#000060\"><tbody><tr><td>\ud83c\udf83<strong> Importance of Estimation<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Checking Work<\/strong>: Estimation allows you to quickly check if an answer is reasonable.<\/li>\n\n\n\n<li><strong>Simplifying Complex Problems<\/strong>: It can make complex arithmetic easier by breaking it down into simpler steps.<\/li>\n\n\n\n<li><strong>Building Number Sense<\/strong>: Helps develop an intuitive understanding of numbers and their relationships.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-normal-font-size\" 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:#aff0e8\"><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 class=\"has-text-color\" style=\"color:#b00012\"><strong>Estimate the sum by rounding each number to the nearest thousand and then adding.<\/strong><\/p>\n\n\n\n<p>6,497 + 2,598<\/p>\n\n\n\n<p>The sum is approximately____________ .<\/p>\n<\/div><\/div>\n\n\n\n<p>Round each number to the nearest thousand.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">6,497<\/td><td class=\"has-text-align-center\" data-align=\"center\">+<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,598<\/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\"><\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;<\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;<\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>6,000<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">+<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>3,000<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">=<\/td><td class=\"has-text-align-center\" data-align=\"center\">?<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Now add:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>6,000<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">+<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>3,000<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">=<\/td><td class=\"has-text-align-center\" data-align=\"center\">9,000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">The sum is about 9,000.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#c3fac4\"><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 class=\"has-text-color\" style=\"color:#b00012\"><strong>Estimate the sum by rounding each number to the nearest thousand and then adding.<\/strong><\/p>\n\n\n\n<p>4,033 + 2,804<\/p>\n\n\n\n<p>The sum is approximately______________.<\/p>\n<\/div><\/div>\n\n\n\n<p>Round each number to the nearest thousand.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">4,033<\/td><td class=\"has-text-align-center\" data-align=\"center\">+<\/td><td class=\"has-text-align-center\" data-align=\"center\">2,804<\/td><td class=\"has-text-align-center\" data-align=\"center\">=<\/td><td>?<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;<\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">4,000<\/td><td class=\"has-text-align-center\" data-align=\"center\">+<\/td><td class=\"has-text-align-center\" data-align=\"center\">3,000<\/td><td class=\"has-text-align-center\" data-align=\"center\">=<\/td><td>?<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Now add:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">4,000<\/td><td class=\"has-text-align-center\" data-align=\"center\">+<\/td><td class=\"has-text-align-center\" data-align=\"center\">3,000<\/td><td class=\"has-text-align-center\" data-align=\"center\">=<\/td><td class=\"has-text-align-center\" data-align=\"center\">7,000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">The sum is about 7,000.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f4bdbd\"><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 class=\"has-text-color\" style=\"color:#b00012\"><strong>Estimate the sum by rounding each number to the nearest thousand and then adding.<\/strong><\/p>\n\n\n\n<p>6,281 + 8,412<\/p>\n\n\n\n<p>The sum is approximately____________<\/p>\n<\/div><\/div>\n\n\n\n<p>Round each number to the nearest thousand .<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__6_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-7426\" style=\"width:320px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__6_-removebg-preview-1.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__6_-removebg-preview-1-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>Now add :<\/p>\n\n\n\n<p>6,000 + 8000 = 14,000<\/p>\n\n\n\n<p>The sum is about 14,000.<\/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\/95623\/391\/424\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3.png\" alt=\"\" class=\"wp-image-6756\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-150x150.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\/76139\/927\/648\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2.png\" alt=\"\" class=\"wp-image-6757\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Estimate sums and differences of whole numbers Class-5 Topic: Estimate Sums and Difference of Whole Numbers by Delta publications Key Notes : \ud83c\udf87What is Estimation? Estimation: The process of finding an approximate value that is close to the actual value, often by rounding numbers. \ud83c\udf81 When to Use Estimation Real-Life Situations: Estimation is useful when:<a class=\"more-link\" href=\"https:\/\/5thclass.deltapublications.in\/index.php\/b-7-estimate-sums-and-differences-of-whole-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;B.7 Estimate sums and differences of whole numbers&#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-37","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/37","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=37"}],"version-history":[{"count":26,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/37\/revisions"}],"predecessor-version":[{"id":15640,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/37\/revisions\/15640"}],"wp:attachment":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=37"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}