{"id":143,"date":"2022-04-08T05:01:39","date_gmt":"2022-04-08T05:01:39","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=143"},"modified":"2024-11-25T10:06:06","modified_gmt":"2024-11-25T10:06:06","slug":"h-8-estimate-sums-and-differences-of-mixed-numbers","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/h-8-estimate-sums-and-differences-of-mixed-numbers\/","title":{"rendered":"H.8 Estimate sums and differences of mixed 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 sums and differences of mixed numbers<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-8844a52ef1ee1cc1c8133e8d8f09a585\" style=\"color:#74008b;text-transform:capitalize\"><strong>key notes:<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-03a0003643067a565b1ce3528f25d02d\" style=\"color:#000060\">1. <strong>Understanding Mixed Numbers<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A <strong>mixed number<\/strong> is a number that consists of an integer (whole number) and a proper fraction. For example, 3 1\/2, 5 3\/4, etc.<\/li>\n\n\n\n<li><strong>Example<\/strong>: 4 2\/5 means 4 whole parts and 2\/5 of another part.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-ae21ff89b5375f6c5fd64f5a66da3a04\" style=\"color:#000060\">2. <strong>Estimation of Sums and Differences<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Estimating sums and differences<\/strong> involves rounding the mixed numbers to simpler numbers (often whole numbers or fractions that are easier to work with) to quickly calculate an approximate answer.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-7b7ae87d53309631de5f2cd956f3c003\" style=\"color:#000060\">3. <strong>Rounding Mixed Numbers<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Round the whole number<\/strong> to the nearest whole number if necessary.<\/li>\n\n\n\n<li><strong>Round the fraction<\/strong> to a simpler fraction, typically 1\/2, 1\/4, or 1, depending on the fraction.\n<ul class=\"wp-block-list\">\n<li>If the fraction is 1\/8 or smaller, round it down to 0.<\/li>\n\n\n\n<li>If the fraction is 3\/8 or greater, round it up to 1\/2.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-d4c9061b45d4b04d2a452277c80270c2\" style=\"color:#000060\">4. <strong>Estimating Sums<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>When adding mixed numbers, <strong>round each mixed number<\/strong> to a convenient whole number or simple fraction.<\/li>\n\n\n\n<li><strong>Example<\/strong>: Estimate the sum of 3 2\/3 and 5 3\/8:\n<ul class=\"wp-block-list\">\n<li>Round 3 2\/3 to 4 and 5 3\/8 to 5.<\/li>\n\n\n\n<li>Estimate sum: 4 + 5 = 9.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-2de7cf3f50b3b654ad8a3350c739fdcc\" style=\"color:#000060\">5. <strong>Estimating Differences<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>For subtraction, <strong>round each mixed number<\/strong> to a simpler form.<\/li>\n\n\n\n<li><strong>Example<\/strong>: Estimate the difference between 6 5\/8 and 3 1\/4:\n<ul class=\"wp-block-list\">\n<li>Round 6 5\/8 to 7 and 3 1\/4 to 3.<\/li>\n\n\n\n<li>Estimate difference: 7 &#8211; 3 = 4.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-e071189855db9df5beaa9bc2c1e902c5\" style=\"color:#000060\">6. <strong>Steps for Estimating Sums and Differences<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Step 1<\/strong>: Round the mixed numbers to whole numbers or simple fractions.<\/li>\n\n\n\n<li><strong>Step 2<\/strong>: Add or subtract the whole numbers and fractions.<\/li>\n\n\n\n<li><strong>Step 3<\/strong>: Check if the estimation makes sense by comparing it to the exact calculation.<\/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-cb7645af1df6bbc574e559e17084c601\" style=\"background-color:#bef8f2\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><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-background-background-color has-text-color has-background has-link-color wp-elements-9910e77efbf1a36c4c208fe1784a1fa2\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-e605539582048325eb17c1d0daf68a68\" style=\"color:#b00012\"><strong>Estimate the sum.<\/strong><\/p>\n\n\n\n<p>Round each number to the nearest whole number, then add.<\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>14 1\/3 + 3 5\/18<\/p>\n\n\n\n<p>The sum is approximately __________.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>Round each number to the nearest whole number.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"400\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/Untitled-design-21.png\" alt=\"\" class=\"wp-image-3001\" style=\"width:393px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/Untitled-design-21.png 600w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/Untitled-design-21-300x200.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure><\/div><\/div><\/div>\n<\/div><\/div>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#cdf7c3\"><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 class=\"has-text-color has-link-color wp-elements-541008b3009df1e6be7276c188dfbe6c\" style=\"color:#b00012\"><strong>Estimate the difference.<\/strong><\/p>\n\n\n\n<p>Round each number to the nearest whole number, then subtract.<\/p>\n\n\n\n<p><strong>10<\/strong> 3\/8 &#8211; <strong>8<\/strong> 7\/10 <\/p>\n\n\n\n<p>The difference is approximately_________.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>Round each number to the nearest whole number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"400\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/Untitled-design-22.png\" alt=\"\" class=\"wp-image-3005\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/Untitled-design-22.png 600w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/Untitled-design-22-300x200.png 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f8c9c9\"><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 has-link-color wp-elements-e605539582048325eb17c1d0daf68a68\" style=\"color:#b00012\"><strong>Estimate the sum.<\/strong><\/p>\n\n\n\n<p>Round each number to the nearest whole number, then add.<\/p>\n\n\n\n<p>5 1\/18 + 4 1\/15<\/p>\n\n\n\n<p>The sum is approximately&nbsp;____ .<\/p>\n<\/div><\/div>\n\n\n\n<p>Round each number to the nearest whole number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__6_-removebg-preview-4.png\" alt=\"\" class=\"wp-image-7143\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__6_-removebg-preview-4.png 670w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__6_-removebg-preview-4-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>Now add:<\/p>\n\n\n\n<p>5 + 4 = 9<\/p>\n\n\n\n<p>The sum is about equal to 9.<\/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\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\/81098\/636\/695\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-97.png\" alt=\"\" class=\"wp-image-6324\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-97.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-97-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-97-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-97-400x400.png 400w\" 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\/81507\/682\/841\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-103.png\" alt=\"\" class=\"wp-image-6325\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-103.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-103-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-103-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-103-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Estimate sums and differences of mixed numbers key notes: 1. Understanding Mixed Numbers 2. Estimation of Sums and Differences 3. Rounding Mixed Numbers 4. Estimating Sums 5. Estimating Differences 6. Steps for Estimating Sums and Differences Learn with an example Estimate the sum. Round each number to the nearest whole number, then add. 14 1\/3<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/h-8-estimate-sums-and-differences-of-mixed-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.8 Estimate sums and differences of mixed 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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-143","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/143","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=143"}],"version-history":[{"count":21,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/143\/revisions"}],"predecessor-version":[{"id":14809,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/143\/revisions\/14809"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=143"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}