{"id":84,"date":"2022-04-12T04:45:06","date_gmt":"2022-04-12T04:45:06","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=84"},"modified":"2025-11-06T04:46:11","modified_gmt":"2025-11-06T04:46:11","slug":"d-10-estimate-products-multiply-by-larger-numbers","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/d-10-estimate-products-multiply-by-larger-numbers\/","title":{"rendered":"D.10 Estimate products &#8211; multiply by larger numbers"},"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 products &#8211; multiply by larger numbers<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-d4d355b76dd54277399098c306fb7fdd\" style=\"color:#74008b\">key points :<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>What is Estimation?<\/strong> \ud83e\udd14<\/p>\n\n\n\n<p>Estimation means <strong>finding an approximate answer<\/strong> instead of the exact answer.<\/p>\n\n\n\n<p>Helps to <strong>save time<\/strong> \u23f1\ufe0f<\/p>\n\n\n\n<p>Useful for <strong>checking your answers<\/strong> \u2705<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Rounding Numbers<\/strong> \ud83d\udd22<\/p>\n\n\n\n<p>Before multiplying, <strong>round the numbers<\/strong> to the nearest:<\/p>\n\n\n\n<p><strong>10<\/strong> (for tens)<\/p>\n\n\n\n<p><strong>100<\/strong> (for hundreds)<\/p>\n\n\n\n<p><strong>1,000<\/strong> (for thousands)<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<p>47 \u2192 50<\/p>\n\n\n\n<p>326 \u2192 300<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Estimate the Product<\/strong> \u2716\ufe0f<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Steps:<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong><span style=\"background-color: rgb(255, 255, 255); font-weight: normal;\">Round each number.Multiply the rounded numbers.Write your answer as an <\/span><strong style=\"background-color: rgb(255, 255, 255);\">approximation<\/strong><span style=\"background-color: rgb(255, 255, 255); font-weight: normal;\">.<\/span><\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\">Example: <\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong><code>48 \u00d7 27 \u2248 50 \u00d7 30 = 1500<\/code> <\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\">\u2705 Estimated product = 1500<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>When to Use Estimation<\/strong> \ud83d\udccc<\/p>\n\n\n\n<p>Checking homework \u2714\ufe0f<\/p>\n\n\n\n<p>Shopping \ud83d\uded2<\/p>\n\n\n\n<p>Quick calculations \u23e9<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Tips for Estimating<\/strong> \ud83d\udca1<\/p>\n\n\n\n<p>If numbers are <strong>close to a multiple of 10<\/strong>, round them to <strong>10s<\/strong><\/p>\n\n\n\n<p>If numbers are <strong>big<\/strong>, round to <strong>100s<\/strong> or <strong>1,000s<\/strong><\/p>\n\n\n\n<p>Estimation <strong>does not have to be exact<\/strong>, it\u2019s <strong>about being close<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Fun Trick!<\/strong> \ud83c\udf89<\/p>\n\n\n\n<p>Use <strong>friendly numbers<\/strong> (10, 20, 50, 100\u2026) for easier multiplication.<br>Example: 52 \u00d7 19 \u2248 50 \u00d7 20 = 1000<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-0de802a5f0e4830d615a40bf94f5b819\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f5aee0\"><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 has-link-color wp-elements-59d13aadec84962c5301491b84b5e2ba\" style=\"color:#b00012\">\ud83d\udd25 Estimate the product. Round each factor to the nearest ten, then multiply.<\/p>\n\n\n\n<p class=\"has-text-align-center has-huge-font-size\">67 \u00d7 48<\/p>\n<\/div><\/div>\n\n\n\n<p>Round the first factor to the nearest ten.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>67<\/td><td>&nbsp;\u00d7&nbsp;<\/td><td>48<\/td><td>&nbsp;= ?<\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><tr><td>70<\/td><td>&nbsp;\u00d7&nbsp;<\/td><td>48<\/td><td>&nbsp;= ?<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Round the second factor to the nearest ten.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>70<\/td><td>&nbsp;\u00d7&nbsp;<\/td><td>48<\/td><td>&nbsp;= ?<\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><tr><td>70<\/td><td>&nbsp;\u00d7&nbsp;<\/td><td>50<\/td><td>&nbsp;= ?<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Now multiply:<\/p>\n\n\n\n<p>70 \u00d7 50 = 3,500<\/p>\n\n\n\n<p>The product is approximately 3,500.<\/p>\n\n\n\n<p>Compare your estimate to the exact answer:<\/p>\n\n\n\n<p>67 \u00d7 48 = 3,216<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#aef5bc\"><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 has-link-color wp-elements-59d13aadec84962c5301491b84b5e2ba\" style=\"color:#b00012\">\ud83d\udd25 Estimate the product. Round each factor to the nearest ten, then multiply.<\/p>\n\n\n\n<p class=\"has-text-align-center has-huge-font-size\">77 \u00d7 41<\/p>\n<\/div><\/div>\n\n\n\n<p>Round the first factor to the nearest ten.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>77<\/td><td>&nbsp;\u00d7&nbsp;<\/td><td>41<\/td><td>&nbsp;= ?<\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><tr><td>80<\/td><td>&nbsp;\u00d7&nbsp;<\/td><td>41<\/td><td>&nbsp;= ?<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Round the second factor to the nearest ten.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>80<\/td><td>&nbsp;\u00d7&nbsp;<\/td><td>41<\/td><td>&nbsp;= ?<\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><tr><td>80<\/td><td>&nbsp;\u00d7&nbsp;<\/td><td>40<\/td><td>&nbsp;= ?<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Now multiply:<\/p>\n\n\n\n<p>80 \u00d7 40 = 3,200<\/p>\n\n\n\n<p>The product is approximately 3,200.<\/p>\n\n\n\n<p>Compare your estimate to the exact answer:<\/p>\n\n\n\n<p>77 \u00d7 41 = 3,157<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f4efae\"><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 has-link-color wp-elements-59d13aadec84962c5301491b84b5e2ba\" style=\"color:#b00012\">\ud83d\udd25 Estimate the product. Round each factor to the nearest ten, then multiply.<\/p>\n\n\n\n<p class=\"has-text-align-center has-huge-font-size\">93 \u00d7 68<\/p>\n<\/div><\/div>\n\n\n\n<p>Round the first factor to the nearest ten.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>93<\/td><td>&nbsp;\u00d7&nbsp;<\/td><td>68<\/td><td>&nbsp;= ?<\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><tr><td>90<\/td><td>&nbsp;\u00d7&nbsp;<\/td><td>68<\/td><td>&nbsp;= ?<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Round the second factor to the nearest ten.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>90<\/td><td>&nbsp;\u00d7&nbsp;<\/td><td>68<\/td><td>&nbsp;= ?<\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><tr><td>90<\/td><td>&nbsp;\u00d7&nbsp;<\/td><td>70<\/td><td>&nbsp;= ?<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Now multiply:<\/p>\n\n\n\n<p>90 \u00d7 70 = 6,300<\/p>\n\n\n\n<p>The product is approximately 6,300.<\/p>\n\n\n\n<p>Compare your estimate to the exact answer:<\/p>\n\n\n\n<p>93 \u00d7 68 = 6,324<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f <\/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\/76847\/299\/613\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-211.png\" alt=\"\" class=\"wp-image-6916\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-211.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-211-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-211-150x150.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\/30339\/471\/222\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-202.png\" alt=\"\" class=\"wp-image-6917\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-202.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-202-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-202-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Estimate products &#8211; multiply by larger numbers key points : What is Estimation? \ud83e\udd14 Estimation means finding an approximate answer instead of the exact answer. Helps to save time \u23f1\ufe0f Useful for checking your answers \u2705 Rounding Numbers \ud83d\udd22 Before multiplying, round the numbers to the nearest: 10 (for tens) 100 (for hundreds) 1,000 (for<a class=\"more-link\" href=\"https:\/\/4thclass.deltapublications.in\/index.php\/d-10-estimate-products-multiply-by-larger-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.10 Estimate products &#8211; multiply by larger 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-84","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/84","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=84"}],"version-history":[{"count":22,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/84\/revisions"}],"predecessor-version":[{"id":16676,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/84\/revisions\/16676"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=84"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}