{"id":88,"date":"2022-04-12T09:31:18","date_gmt":"2022-04-12T09:31:18","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=88"},"modified":"2025-09-02T01:21:04","modified_gmt":"2025-09-02T01:21:04","slug":"e-7-estimate-sums-differences-and-products-of-decimals","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/e-7-estimate-sums-differences-and-products-of-decimals\/","title":{"rendered":"E.7 Estimate sums, differences and products of decimals"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Estimate sums, differences and products of decimals<\/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\/DAGwfrDC6GI\/c4tfwMTllIzHc78Y_gbNYA\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwfrDC6GI&#x2F;c4tfwMTllIzHc78Y_gbNYA&#x2F;watch?utm_content=DAGwfrDC6GI&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">7th E.7 Estimate Sums, Differences And Products Of Decimals<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-0b7c76880a66787baa56e2714ae28a2d\" style=\"color:#74008b;text-transform:capitalize\"><strong>key notes :<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Understanding Estimation<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Estimation helps in quickly finding approximate answers.<\/li>\n\n\n\n<li>It is useful for checking reasonableness of calculations.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Rounding Decimals<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">To estimate, round decimals to the nearest whole number or one decimal place.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 4.73 rounds to 5, and 2.89 rounds to 3.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Estimating Sums<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">Round each decimal and then add the numbers.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 6.48 + 3.27 \u2192 Round to 6 + 3 = <strong>9<\/strong> (Estimated sum).<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Estimating Differences<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">Round each decimal and subtract the numbers.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 9.85 &#8211; 4.32 \u2192 Round to 10 &#8211; 4 = <strong>6<\/strong> (Estimated difference).<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Estimating Products<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">Round decimals before multiplying for easier calculations.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 7.92 \u00d7 4.08 \u2192 Round to 8 \u00d7 4 = <strong>32<\/strong> (Estimated product).<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Using Compatible Numbers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">Choose numbers that are easy to compute mentally.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: Instead of 4.97 + 3.06, use 5 + 3 = <strong>8<\/strong>.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Checking Reasonableness<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">Compare estimated results with exact answers to see if they are close.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the estimated and exact answers are far apart, check for errors.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Application in Real Life<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Used in shopping (estimating total cost), cooking (approximating ingredient amounts), and budgeting.<\/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-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-71ccc4682b8234a7dc3faf63bf7ef8cf\" style=\"background-color:#fab4ef\"><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 has-normal-font-size wp-elements-235b010a8bfffdf04c340729e9dbb242\"><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\">\u25b6\ufe0f <strong>Estimate the sum by rounding each number to the nearest whole number and then adding.<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">9.78 + 3.49<\/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 whole number.<\/p>\n\n\n\n<p>9.78 + 3.49 = ?<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>10 + 3 = ?<\/strong><\/p>\n\n\n\n<p>Now add:<\/p>\n\n\n\n<p>10 + 3 = 13<\/p>\n\n\n\n<p class=\"has-text-color has-normal-font-size\" style=\"color:#a30000\">The sum is about 13.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-fe415847b24235b285eb36929e5f0fdf\" style=\"background-color:#b4facd\"><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 has-normal-font-size wp-elements-b6f06abf7d86f665f4a8064f0ca7b816\"><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\">\u25b6\ufe0f <strong>Estimate the sum by rounding each number to the nearest whole number and then multiply.<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">9.78 \u00d7 3.49<\/p>\n\n\n\n<p class=\"has-normal-font-size\">The product is approximately_________<\/p>\n<\/div><\/div>\n\n\n\n<p>Round each number to the nearest whole number.<\/p>\n\n\n\n<p>9.78 \u00d7 3.49 = ?<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>10 \u00d7 3 = ?<\/strong><\/p>\n\n\n\n<p>Now multiply:<\/p>\n\n\n\n<p>10 \u00d7 3 = 13<\/p>\n\n\n\n<p class=\"has-text-color has-normal-font-size\" style=\"color:#a30000\">The product is approximately 30.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-8db0e1167998146e00ed2e366b2661a3\" style=\"background-color:#e1fbb5\"><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-da8bf5ed580edb89c012edcd77acb144\"><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\">\u25b6\ufe0f<strong> Estimate the sum by rounding each number to the nearest whole number and then subtracting.<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">9.78 \u2212 3.49<\/p>\n\n\n\n<p class=\"has-normal-font-size\">The difference is approximately_________<\/p>\n<\/div><\/div>\n\n\n\n<p>Round each number to the nearest whole number.<\/p>\n\n\n\n<p>9.78 \u2212 3.49 = ?<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>10 \u2212 3 = ?<\/strong><\/p>\n\n\n\n<p>Now subtract:<\/p>\n\n\n\n<p>10 \u2212 3 = 7<\/p>\n\n\n\n<p class=\"has-text-color has-normal-font-size\" style=\"color:#a30000\">The difference is about 6.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!<\/strong><\/p>\n<\/div><\/div>\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 has-normal-font-size is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/80637\/318\/222\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-247.png\" alt=\"\" class=\"wp-image-7325\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-247.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-247-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-247-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-247-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-normal-font-size is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/84754\/795\/684\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-249.png\" alt=\"\" class=\"wp-image-7327\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-249.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-249-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-249-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-249-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Estimate sums, differences and products of decimals 7th E.7 Estimate Sums, Differences And Products Of Decimals by Delta publications key notes : Understanding Estimation Rounding Decimals To estimate, round decimals to the nearest whole number or one decimal place. Estimating Sums Round each decimal and then add the numbers. Estimating Differences Round each decimal and<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/e-7-estimate-sums-differences-and-products-of-decimals\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.7 Estimate sums, differences and products of decimals&#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,"footnotes":""},"class_list":["post-88","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/88","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=88"}],"version-history":[{"count":24,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/88\/revisions"}],"predecessor-version":[{"id":16891,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/88\/revisions\/16891"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=88"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}