{"id":86,"date":"2022-04-12T04:45:22","date_gmt":"2022-04-12T04:45:22","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=86"},"modified":"2024-08-27T08:38:33","modified_gmt":"2024-08-27T08:38:33","slug":"d-11-estimate-products-word-problems","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/d-11-estimate-products-word-problems\/","title":{"rendered":"D.11 Estimate products: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#09127e;text-transform:uppercase\"><strong>Estimate products: word problems<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-f4fa1d7a8474d383021fdbf5202aa7a1\" style=\"color:#000060\"><strong>Understanding Estimation<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Definition<\/strong>: Estimation involves finding a number that is close to the exact amount. It is useful when exact numbers are not necessary or practical.<\/li>\n\n\n\n<li><strong>Purpose<\/strong>: Helps in making quick decisions and checking if answers are reasonable.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-2272db6df63ac94e2ed5b95924b5610f\" style=\"color:#000060\"><strong>Estimation Strategies<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Rounding<\/strong>: Adjust numbers to the nearest ten, hundred, or other place value to simplify multiplication.\n<ul class=\"wp-block-list\">\n<li>Example: Estimate the product of 47 and 32 by rounding 47 to 50 and 32 to 30, then multiply 50 \u00d7 30 = 1500.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Compatible Numbers<\/strong>: Use numbers that are easy to work with, often multiples of 10.\n<ul class=\"wp-block-list\">\n<li>Example: For 46 \u00d7 27, estimate by using 50 \u00d7 30 = 1500.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Front-End Estimation<\/strong>: Focus on the leading digits of the numbers.\n<ul class=\"wp-block-list\">\n<li>Example: For 88 \u00d7 56, consider 80 \u00d7 50.<\/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-08a46a2b8ef832d003f2da5d57b04c51\" style=\"color:#000060\"><strong>Solving Word Problems<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Read Carefully<\/strong>: Identify what is being asked and the numbers involved.<\/li>\n\n\n\n<li><strong>Choose an Estimation Strategy<\/strong>: Decide whether to round, use compatible numbers, or front-end estimation.<\/li>\n\n\n\n<li><strong>Perform the Estimation<\/strong>: Apply the chosen method to get an estimated answer.<\/li>\n\n\n\n<li><strong>Check Reasonableness<\/strong>: Ensure the estimated answer makes sense in the context of the problem.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-9240684a6bac2309a0b3bfb9e4b10777\" style=\"color:#000060\"><strong>Example Problems<\/strong><\/h3>\n\n\n\n<ol class=\"has-large-font-size wp-block-list\">\n<li><strong>Problem<\/strong>: You are buying packs of pencils. Each pack has about 25 pencils, and you want to buy 14 packs. Estimate the total number of pencils.\n<ul class=\"wp-block-list\">\n<li><strong>Estimation<\/strong>: Round 25 to 30 and 14 to 10. Estimate: 30 \u00d7 10 = 300 pencils.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Problem<\/strong>: A library has 56 shelves, each holding about 18 books. Estimate the total number of books.\n<ul class=\"wp-block-list\">\n<li><strong>Estimation<\/strong>: Round 56 to 60 and 18 to 20. Estimate: 60 \u00d7 20 = 1200 books.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\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-large-font-size\" style=\"background-color:#a7c5f4\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group\"><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 has-large-font-size wp-elements-1852d8ff577775a395a53ff3679533ba\" style=\"color:#d90000\"><strong>Cindy bought 77 packages of biscuits. Each package had 8 biscuits. About how many biscuits did Cindy buy? Choose the better estimate.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>64<\/li>\n\n\n\n<li>640<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\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>Multiply:<\/p>\n\n\n\n<p>77 \u00d7 8 = ?<\/p>\n\n\n\n<p>Round the first factor to the nearest ten.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"235\" height=\"119\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-27.png\" alt=\"\" class=\"wp-image-12738\" style=\"width:160px;height:auto\"\/><\/figure>\n\n\n\n<p>640 biscuits is the better estimate.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#edb8f9\"><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-262f8aa2da0d1df0a0e89c0104a71fc4\" style=\"color:#d90000\"><strong>A chef prepared 31 plates of prawn. There were 47 prawn on each plate. About how many prawn did the chef prepare? Choose the better estimate.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1,500<\/li>\n\n\n\n<li>1,100<\/li>\n<\/ul>\n\n\n\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>Multiply:<\/p>\n\n\n\n<p>31 \u00d7 47 = ?<\/p>\n\n\n\n<p>Round each factor to the nearest ten.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"258\" height=\"108\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-28.png\" alt=\"\" class=\"wp-image-12740\" style=\"width:225px;height:auto\"\/><\/figure>\n\n\n\n<p>1,500 prawn is the better estimate.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#b0dbf6\"><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-1802a9183db9d27b72bcc2812f684108\" style=\"color:#d90000\"><strong>A biscuit factory produced 31 packages of biscuits. There were 39 biscuits in each package. About how many biscuits did the factory produce in all? Choose the better estimate.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>120<\/li>\n\n\n\n<li>1,200<\/li>\n<\/ul>\n\n\n\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>Multiply:<\/p>\n\n\n\n<p>31 \u00d7 39 = ?<\/p>\n\n\n\n<p>Round each factor to the nearest ten.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"288\" height=\"117\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-29.png\" alt=\"\" class=\"wp-image-12741\" style=\"width:212px;height:auto\"\/><\/figure>\n\n\n\n<p>1,200 biscuits is the better estimate.<\/p>\n<\/div><\/div>\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\/76848\/219\/905\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-210.png\" alt=\"\" class=\"wp-image-6913\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-210.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-210-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-210-150x150.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\/77030\/726\/268\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-201.png\" alt=\"\" class=\"wp-image-6914\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-201.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-201-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-201-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Estimate products: word problems Understanding Estimation Estimation Strategies Solving Word Problems Example Problems Learn with an example Cindy bought 77 packages of biscuits. Each package had 8 biscuits. About how many biscuits did Cindy buy? Choose the better estimate. Multiply: 77 \u00d7 8 = ? Round the first factor to the nearest ten. 640 biscuits<a class=\"more-link\" href=\"https:\/\/4thclass.deltapublications.in\/index.php\/d-11-estimate-products-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.11 Estimate products: 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-86","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/86","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=86"}],"version-history":[{"count":12,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/86\/revisions"}],"predecessor-version":[{"id":12742,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/86\/revisions\/12742"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=86"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}