{"id":38,"date":"2022-04-08T04:02:25","date_gmt":"2022-04-08T04:02:25","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=38"},"modified":"2025-09-01T11:09:39","modified_gmt":"2025-09-01T11:09:39","slug":"b-5-multiply-three-or-more-numbers","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/b-5-multiply-three-or-more-numbers\/","title":{"rendered":"B.5 Multiply three or more numbers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-link-color has-huge-font-size wp-elements-b99b85c77632d7d68f16f144c2225b9f\" style=\"color:#00056d;text-transform:uppercase\"><strong>Multiply three or more numbers<\/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\/DAGwhHkbiC0\/AxgJxm6mNoqEF4Hhs_xbUQ\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwhHkbiC0&#x2F;AxgJxm6mNoqEF4Hhs_xbUQ&#x2F;watch?utm_content=DAGwhHkbiC0&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">6th Class &#8211; Multiply Three Or More Numbers<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-large-font-size\"><strong>Keynotes :<\/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 Multiplication of Multiple Numbers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiplying <strong>three or more numbers<\/strong> means finding the <strong>product<\/strong> of all the numbers together.<\/li>\n\n\n\n<li>The order of multiplication <strong>does not change the result<\/strong> (commutative property).<\/li>\n\n\n\n<li>Example:<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\">2\u00d73\u00d74=(2\u00d73)\u00d74=6\u00d74=24<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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> Steps to Multiply Three or More Numbers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Group the numbers<\/strong> in a way that makes multiplication easier (optional).<\/li>\n\n\n\n<li>Multiply the <strong>first two numbers<\/strong>.<\/li>\n\n\n\n<li>Multiply the <strong>result by the next number<\/strong>.<\/li>\n\n\n\n<li>Repeat the process if there are more numbers.<\/li>\n\n\n\n<li>Write the <strong>final product<\/strong>.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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> Important Properties to Remember<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Commutative Property:<\/strong> The order of multiplication doesn\u2019t matter. <\/p>\n\n\n\n<p class=\"has-text-align-center\">2\u00d73\u00d74=4\u00d72\u00d73<\/p>\n\n\n\n<p><strong>Associative Property:<\/strong> You can multiply in groups. <\/p>\n\n\n\n<p class=\"has-text-align-center\">(2\u00d73)\u00d74=2\u00d7(3\u00d74)<\/p>\n\n\n\n<p><strong>Multiplication by 1:<\/strong> Doesn\u2019t change the number.<\/p>\n\n\n\n<p><strong>Multiplication by 0:<\/strong> Result is always 0.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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> Examples<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Example 1:<\/strong><br>Multiply 3 \u00d7 4 \u00d7 5<\/p>\n\n\n\n<p><strong>Solution:<\/strong> <\/p>\n\n\n\n<p class=\"has-text-align-center\">3\u00d74=12<\/p>\n\n\n\n<p class=\"has-text-align-center\"> 12\u00d75=60<\/p>\n\n\n\n<p>\u2705 <strong>Answer:<\/strong> 60<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Example 2:<\/strong><br>Multiply 2 \u00d7 6 \u00d7 3 \u00d7 5<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\"> 2\u00d76=12<\/p>\n\n\n\n<p class=\"has-text-align-center\"> 12\u00d73=36<\/p>\n\n\n\n<p class=\"has-text-align-center\">36\u00d75=180<\/p>\n\n\n\n<p>\u2705 <strong>Answer:<\/strong> 180<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Example 3 \u2013 Using Commutative Property:<\/strong><br>Multiply 5 \u00d7 2 \u00d7 10 \u00d7 4<\/p>\n\n\n\n<p><strong>Solution:<\/strong> <\/p>\n\n\n\n<p class=\"has-text-align-center\">(5\u00d72)\u00d7(10\u00d74)=10\u00d740=400<\/p>\n\n\n\n<p>\u2705 <strong>Answer:<\/strong> 400<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>Tips for Multiplying Many Numbers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Multiply <strong>smaller numbers first<\/strong> to make calculation easier.<\/li>\n\n\n\n<li>Use <strong>grouping<\/strong> to simplify calculations.<\/li>\n\n\n\n<li>Double-check your multiplication step by step.<\/li>\n\n\n\n<li>Always write the <strong>final answer clearly<\/strong>.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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> Practice Questions<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Multiply 3 \u00d7 7 \u00d7 2<\/li>\n\n\n\n<li>Multiply 4 \u00d7 5 \u00d7 6 \u00d7 2<\/li>\n\n\n\n<li>Multiply 2 \u00d7 3 \u00d7 8 \u00d7 5<\/li>\n\n\n\n<li>Multiply 7 \u00d7 5 \u00d7 4 \u00d7 2<\/li>\n\n\n\n<li>Multiply 3 \u00d7 6 \u00d7 2 \u00d7 5 \u00d7 4<\/li>\n<\/ol>\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>Answers:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>42<\/li>\n\n\n\n<li>240<\/li>\n\n\n\n<li>240<\/li>\n\n\n\n<li>280<\/li>\n\n\n\n<li>720<\/li>\n<\/ol>\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>More<\/strong> <strong>Example Problems:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#6febe7\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background\" style=\"background-color:#f7f1ab\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading has-normal-font-size\">\u2705 Example 1: <strong>Basic Multiplication<\/strong><\/h3>\n\n\n\n<p class=\"has-background-background-color has-background\"><strong>Multiply:<\/strong> 3 \u00d7 5 \u00d7 2<br>\u2192 Step 1: (3 \u00d7 5) = 15<br>\u2192 Step 2: 15 \u00d7 2 = <strong>30<\/strong><\/p>\n\n\n\n<p><strong>Tip:<\/strong> Grouping 3 and 5 first made it easier.<\/p>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#b3edab\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading has-normal-font-size\">\u2705 Example 2: <strong>Real-Life \u2013 School Supplies<\/strong><\/h3>\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 class=\"has-background-background-color has-text-color has-background has-link-color wp-elements-58b98a7d208f154ecf59f58e92b475d4\" style=\"color:#f75454\">Each student gets 2 notebooks for each of 5 subjects. There are 30 students in the class.<br><strong>How many notebooks are needed in total?<\/strong><\/p>\n\n\n\n<p class=\"has-primary-color has-text-color has-link-color wp-elements-012a8833f06b0250aa198e3710057225\">\u2192 Multiply: 2 \u00d7 5 \u00d7 30<br>\u2192 Step 1: 2 \u00d7 5 = 10<br>\u2192 Step 2: 10 \u00d7 30 = <strong>300 notebooks<\/strong><\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f28cd1\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading has-normal-font-size\">\u2705 Example 3: <strong>Using Smart Grouping<\/strong><\/h3>\n\n\n\n<p class=\"has-background-background-color has-background\"><strong>Multiply:<\/strong> 4 \u00d7 25 \u00d7 10<br>Group (25 \u00d7 4) = 100<br>\u2192 100 \u00d7 10 = <strong>1,000<\/strong><\/p>\n\n\n\n<p>\u2705 Smart grouping helps in mental math.<\/p>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#ceb5f4\"><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<h3 class=\"wp-block-heading has-normal-font-size\">\u2705 Example 4: <strong>Daily Routine \u2013 Water Consumption<\/strong><\/h3>\n\n\n\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-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-3dabdb7b84e4a43608838dc7a3a671a5\" style=\"color:#fd3e3e\">A person drinks 2 bottles of water per day. Each bottle is 1 liter. Over 7 days, how many liters does he drink?<\/p>\n\n\n\n<p class=\"has-background-background-color has-background\">\u2192 Multiply: 2 \u00d7 1 \u00d7 7 = <strong>14 liters<\/strong><\/p>\n<\/div><\/div>\n<\/div><\/div>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#c8b4ff\"><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<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<h3 class=\"wp-block-heading has-normal-font-size\">\u2705 Example 5: <strong>Large Numbers with Place Value<\/strong><\/h3>\n\n\n\n<p class=\"has-background-background-color has-background\"><strong>Multiply:<\/strong> 20 \u00d7 300 \u00d7 5<br>\u2192 Multiply non-zero parts: 2 \u00d7 3 \u00d7 5 = 30<br>\u2192 Total zeroes = 1 (from 20) + 2 (from 300) = 3<br>\u2192 Final Answer = <strong>30,000<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">\u2705 Example 6: <strong>Word Problem \u2013 Event Planning<\/strong><\/h3>\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 class=\"has-text-color has-link-color wp-elements-7f52395e86155332902935b41f6eab60\" style=\"color:#e53737\">Each row in an auditorium has 12 chairs. There are 10 rows in each section. The auditorium has 4 sections.<br><strong>How many chairs in total?<\/strong><\/p>\n\n\n\n<p>\u2192 Multiply: 12 \u00d7 10 \u00d7 4<br>\u2192 Step 1: 12 \u00d7 10 = 120<br>\u2192 Step 2: 120 \u00d7 4 = <strong>480 chairs<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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<h3 class=\"wp-block-heading has-normal-font-size\">\u2705 Example 7: <strong>Time-Based Problem<\/strong><\/h3>\n\n\n\n<p class=\"has-text-color has-background has-link-color wp-elements-6e26df4790d1e5bd7fc8732759b5ae84\" style=\"color:#f24343;background-color:#f9cd5c\"><strong>A machine packs 5 boxes every 10 minutes. If it runs for 3 hours, how many boxes will it pack?<\/strong><\/p>\n\n\n\n<p>\u2192 Total minutes in 3 hours = 3 \u00d7 60 = 180<br>\u2192 Number of 10-minute intervals = 180 \u00f7 10 = 18<br>\u2192 Multiply: 5 \u00d7 18 = <strong>90 boxes<\/strong><\/p>\n\n\n\n<p>Or: 5 \u00d7 6 \u00d7 3 = 90<\/p>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#feacec\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading has-normal-font-size\">\u2705 Example 8: <strong>Money Application<\/strong><\/h3>\n\n\n\n<p class=\"has-background-background-color has-background\">Each packet of pencils costs \u20b915. A shop sells 8 packets each day for 6 days.<br>\u2192 Multiply: 15 \u00d7 8 \u00d7 6<br>\u2192 Step 1: 15 \u00d7 8 = 120<br>\u2192 Step 2: 120 \u00d7 6 = <strong>\u20b9720<\/strong><\/p>\n<\/div><\/div>\n<\/div><\/div>\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 is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><\/div>\n<\/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 is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76092\/241\/359\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-102.png\" alt=\"\" class=\"wp-image-5753\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-102.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-102-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-102-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-102-400x400.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\/76090\/878\/990\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-104.png\" alt=\"\" class=\"wp-image-5754\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-104.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-104-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-104-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-104-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Multiply three or more numbers 6th Class &#8211; Multiply Three Or More Numbers by Delta publications Keynotes : Understanding Multiplication of Multiple Numbers 2\u00d73\u00d74=(2\u00d73)\u00d74=6\u00d74=24 Steps to Multiply Three or More Numbers Important Properties to Remember Commutative Property: The order of multiplication doesn\u2019t matter. 2\u00d73\u00d74=4\u00d72\u00d73 Associative Property: You can multiply in groups. (2\u00d73)\u00d74=2\u00d7(3\u00d74) Multiplication by 1:<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/b-5-multiply-three-or-more-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;B.5 Multiply three or more 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-38","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/38","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=38"}],"version-history":[{"count":36,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/38\/revisions"}],"predecessor-version":[{"id":16473,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/38\/revisions\/16473"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=38"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}