{"id":36,"date":"2022-04-08T04:02:03","date_gmt":"2022-04-08T04:02:03","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=36"},"modified":"2025-08-13T11:15:23","modified_gmt":"2025-08-13T11:15:23","slug":"b-4multiply-numbers-ending-in-zeroes-word-problems","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/b-4multiply-numbers-ending-in-zeroes-word-problems\/","title":{"rendered":"B.4 Multiply numbers ending in zeroes: word problems"},"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>Multiply numbers ending in zeroes: word problems<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/C.5-Multiply-numbers-ending-in-zeroes_-word-problems.mp4\"><\/video><\/figure>\n\n\n\n<p><strong>Key notes<\/strong> :<\/p>\n\n\n\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<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Understand the Context:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Read the problem carefully to identify the numbers and the operation required.<\/li>\n\n\n\n<li>Recognize when numbers in the problem end in zeroes, which can simplify 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><strong>Extract the Important Information:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Identify the numbers involved and their significance in the problem.<\/li>\n\n\n\n<li>Highlight or underline key values, especially those ending in zeroes.<\/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>Simplify the Multiplication Process:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Remove Zeroes Temporarily:<\/strong> Multiply the non-zero parts of the numbers first.<\/li>\n\n\n\n<li><strong>Reintroduce the Zeroes:<\/strong> Add the total number of zeroes from the original numbers to the result.<\/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>Follow These Steps:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Identify and Count Zeroes:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Determine how many zeroes each number has.<\/li>\n\n\n\n<li>Example: In a problem with 400 and 50, count zeroes in both numbers.<\/li>\n<\/ul>\n\n\n\n<p><strong>Multiply the Non-Zero Parts:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Focus on the digits before the zeroes.<\/li>\n\n\n\n<li>Example: Multiply 4 (from 400) by 5 (from 50), resulting in 20.<\/li>\n<\/ul>\n\n\n\n<p><strong>Reintroduce the Zeroes:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Combine the number of zeroes from both original numbers.<\/li>\n\n\n\n<li>Example: 400 has 2 zeroes and 50 has 1 zero, totaling 3 zeroes.<\/li>\n<\/ul>\n\n\n\n<p><strong>Write the Final Answer:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Attach the total number of zeroes to the result.<\/li>\n\n\n\n<li>Example: 20 with 3 zeroes is 20000.<\/li>\n<\/ul>\n\n\n\n<p><strong>Check Your Work:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Verify that the final answer makes sense in the context of the problem.<\/li>\n\n\n\n<li>Recalculate if necessary to ensure accuracy.<\/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>Example Word Problem:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-primary-color has-text-color has-link-color wp-elements-fd40845ec85a27f0bc34c2363ca794cf\"><strong>Problem:<\/strong> A factory produces 600 boxes of toys each day. If each box contains 50 toys, how many toys are produced each day?<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-50-1024x1024.png\" alt=\"\" class=\"wp-image-12820\" style=\"width:332px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-50-1024x1024.png 1024w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-50-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-50-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-50-768x768.png 768w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-50-400x400.png 400w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-50-1536x1536.png 1536w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-50.png 1563w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\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><strong>Solution Steps:<\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Extract Information:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Number of boxes: 600<\/li>\n\n\n\n<li>Number of toys per box: 50<\/li>\n<\/ul>\n\n\n\n<p><strong>Identify and Count Zeroes:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>600 has 2 zeroes.<\/li>\n\n\n\n<li>50 has 1 zero.<\/li>\n<\/ul>\n\n\n\n<p><strong>Multiply the Non-Zero Parts:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Non-zero parts: 6 (from 600) and 5 (from 50).<\/li>\n\n\n\n<li>Multiply: 6\u00d75=30.<\/li>\n<\/ul>\n\n\n\n<p><strong>Reintroduce the Zeroes:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total zeroes: 2 (from 600) + 1 (from 50) = 3 zeroes.<\/li>\n<\/ul>\n\n\n\n<p><strong>Write the Final Answer:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Combine the product with the zeroes: 30 with 3 zeroes = 30000.<\/li>\n<\/ul>\n\n\n\n<p><strong>Final Answer:<\/strong> The factory produces 30,000 toys each day.<\/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><strong>Example<\/strong> :<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-normal-font-size wp-elements-ff544f396e8832f1c7c09226814f8aec\" style=\"color:#f46262\"><strong>Mary bought 8 packs of pencils. Each pack contains 24 pencils. How many pencils did Mary buy in total?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/il-1024x1024.png\" alt=\"\" class=\"wp-image-12822\" style=\"width:278px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/il-1024x1024.png 1024w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/il-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/il-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/il-768x768.png 768w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/il-400x400.png 400w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/il-1536x1536.png 1536w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/il.png 1563w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\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>Solution:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Step 1: Understand the Problem:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li class=\"has-normal-font-size\">Mary bought 8 packs of pencils.<\/li>\n\n\n\n<li class=\"has-normal-font-size\">Each pack contains 24 pencils.<\/li>\n\n\n\n<li class=\"has-normal-font-size\">We need to find out how many pencils Mary bought in total.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Step 2: Plan the Solution:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li class=\"has-normal-font-size\">We will multiply the number of packs by the number of pencils per pack.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Step 3: Perform the Calculation:<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\">Total&nbsp;number&nbsp;of&nbsp;pencils  =  Number&nbsp;of&nbsp;packs\u00d7Pencils&nbsp;per&nbsp; pack  <\/p>\n\n\n\n<p class=\"has-normal-font-size\"> 8\u00d724 =192=192<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Step 4: Verify the Solution:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-normal-font-size\">To verify, we can divide the total number of pencils (192) by the number of packs (8) and see if we get the number of pencils per pack (24).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Step 5: State the Solution:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-normal-font-size\">Mary bought a total of 192 pencils.<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#d1d0f5\"><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>\ud83d\uddfc There are 20 flowers on each quilt. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-fa26b3c202bbd1c7b5f99f3f099ec8ab\" style=\"color:#b00012\">How many flowers are there on 700 quilts?<\/p>\n<\/div><\/div>\n\n\n\n<p>There are 20 flowers on each of the 700 quilts. Multiply 20 by 700.<\/p>\n\n\n\n<p>First, multiply 2 and 7.<\/p>\n\n\n\n<p>2 \u00d7 7 = 14<\/p>\n\n\n\n<p>Now count the zeroes in both numbers.<\/p>\n\n\n\n<p>2<strong>0<\/strong>&nbsp;\u00d7 7<strong>00<\/strong>&nbsp;= ?<\/p>\n\n\n\n<p>There are 3 zeroes in all. Write 3 zeroes after 14.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">2<strong>0<\/strong>&nbsp;\u00d7 7<strong>00<\/strong>&nbsp;= 14,<strong>000<\/strong><\/p>\n\n\n\n<p>There are 14,000 flowers in all on 700 quilts.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#daf0a5\"><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>\ud83d\uddfc An airline carries 7,000 passengers per day. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-50dcc7493ceff404037675edc1d012ea\" style=\"color:#b00012\">How many passengers will the airline carry in 8 days?<\/p>\n<\/div><\/div>\n\n\n\n<p>The airline carries 7,000 passengers per day for 8 days. Multiply 7,000 by 8.<\/p>\n\n\n\n<p>First, multiply the non-zero parts of the numbers:<\/p>\n\n\n\n<p>7 \u00d7 8 = 56<\/p>\n\n\n\n<p>Now add back the zeroes at the end:<\/p>\n\n\n\n<p>56,<strong>000<\/strong><\/p>\n\n\n\n<p>The airline will carry 56,000 passengers in 8 days.<\/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\/76092\/125\/272\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-103.png\" alt=\"\" class=\"wp-image-5756\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-103.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-103-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-103-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-103-400x400.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\/76089\/641\/186\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-105.png\" alt=\"\" class=\"wp-image-5757\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-105.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-105-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-105-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-105-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Multiply numbers ending in zeroes: word problems Key notes : Understand the Context: Extract the Important Information: Simplify the Multiplication Process: Follow These Steps: Identify and Count Zeroes: Multiply the Non-Zero Parts: Reintroduce the Zeroes: Write the Final Answer: Check Your Work: Example Word Problem: Problem: A factory produces 600 boxes of toys each day.<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/b-4multiply-numbers-ending-in-zeroes-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;B.4 Multiply numbers ending in zeroes: 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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-36","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/36","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=36"}],"version-history":[{"count":20,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/36\/revisions"}],"predecessor-version":[{"id":16407,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/36\/revisions\/16407"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=36"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}