{"id":71,"date":"2022-04-12T05:59:06","date_gmt":"2022-04-12T05:59:06","guid":{"rendered":"http:\/\/5thclass.deltapublications.in\/?page_id=71"},"modified":"2025-09-10T09:23:42","modified_gmt":"2025-09-10T09:23:42","slug":"c-15-multiply-2-digit-numbers-by-larger-numbers","status":"publish","type":"page","link":"https:\/\/5thclass.deltapublications.in\/index.php\/c-15-multiply-2-digit-numbers-by-larger-numbers\/","title":{"rendered":"C.15 Multiply 2-digit numbers by larger numbers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Multiply 2-digit numbers by larger numbers<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/C.15-Multiply-2-digit-numbers-by-larger-numbers.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-a6c0d3e2680c4784b6bbd1f08926fbea\" style=\"color:#000060\"><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>\ud83d\udd39<strong> Key Idea:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>When we multiply a 2-digit number by a larger number (3-digit or more), we use the <strong>long multiplication method<\/strong> step by step.<\/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>\ud83d\udd39 Steps to Multiply:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Write the numbers in columns<\/strong> (larger number on top, 2-digit number below).<\/li>\n\n\n\n<li><strong>Multiply the bottom number\u2019s ones place<\/strong> with each digit of the top number.<\/li>\n\n\n\n<li><strong>Multiply the bottom number\u2019s tens place<\/strong> with each digit of the top number (shift one place to the left).<\/li>\n\n\n\n<li><strong>Add the partial products<\/strong> to get the final answer.<\/li>\n<\/ul>\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>\ud83d\udd39 Example 1:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Multiply <strong>34 \u00d7 256<\/strong><\/p>\n\n\n\n<p>\ud83d\udc49 Step 1: Arrange in columns<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>     256\n   \u00d7  34\n  _______\n<\/code><\/pre>\n\n\n\n<p>\ud83d\udc49 Step 2: Multiply by ones (4 \u00d7 256 = 1024)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>     256\n   \u00d7  34\n  _______\n    1024   (this is 256 \u00d7 4)\n<\/code><\/pre>\n\n\n\n<p>\ud83d\udc49 Step 3: Multiply by tens (3 \u00d7 256 = 768 \u2192 shift one place left)<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>     256\n   \u00d7  34\n  _______\n    1024\n   7680   (this is 256 \u00d7 30)\n<\/code><\/pre>\n\n\n\n<p>\ud83d\udc49 Step 4: Add partial products<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>     1024\n   + 7680\n   _______\n     8704\n<\/code><\/pre>\n\n\n\n<p>\u2705 Final Answer: <strong>34 \u00d7 256 = 8,704<\/strong><\/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>\ud83d\udd39 Example 2:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Multiply <strong>78 \u00d7 432<\/strong><\/p>\n\n\n\n<p>\ud83d\udc49 Work out:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>78 \u00d7 2 = 156<\/li>\n\n\n\n<li>78 \u00d7 3 = 234 \u2192 shift one place left = 2340<\/li>\n\n\n\n<li>78 \u00d7 4 = 312 \u2192 shift two places left = 31,200<\/li>\n<\/ul>\n\n\n\n<p>Now add:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>   156\n +2340\n+31200\n______\n 33696\n<\/code><\/pre>\n\n\n\n<p>\u2705 Final Answer: <strong>78 \u00d7 432 = 33,696<\/strong><\/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>\ud83d\udd39 Tips for Students:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always <strong>align digits carefully<\/strong> in columns.<\/li>\n\n\n\n<li>Remember to <strong>add a zero<\/strong> when shifting left (for tens, hundreds, etc.).<\/li>\n\n\n\n<li>Double-check your addition at the end.<\/li>\n<\/ul>\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>\ud83d\udd39 Practice Problems:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>46 \u00d7 325 = ?<\/li>\n\n\n\n<li>72 \u00d7 418 = ?<\/li>\n\n\n\n<li>89 \u00d7 637 = ?<\/li>\n\n\n\n<li>65 \u00d7 504 = ?<\/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-normal-font-size\" style=\"background-color:#a4c5f3\"><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\"><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 class=\"has-text-color\" style=\"color:#b00012\"><strong>7,205 x 81 = <\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>Multiply the ones.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__3_-removebg-preview-6.png\" alt=\"\" class=\"wp-image-7557\" style=\"aspect-ratio:3.35;width:408px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__3_-removebg-preview-6.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__3_-removebg-preview-6-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>Multiply the tens. Remember to carry over.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design-removebg-preview-12.png\" alt=\"\" class=\"wp-image-7558\" style=\"aspect-ratio:3.35;width:569px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design-removebg-preview-12.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design-removebg-preview-12-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>Now add the results.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__1_-removebg-preview-12.png\" alt=\"\" class=\"wp-image-7559\" style=\"aspect-ratio:3.35;width:588px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__1_-removebg-preview-12.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__1_-removebg-preview-12-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#ace1f9\"><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\"><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 class=\"has-text-color\" style=\"color:#b00012\"><strong>1,938 x 88 = <\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>Multiply the ones. Remember to carry over.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__2_-removebg-preview-10.png\" alt=\"\" class=\"wp-image-7560\" style=\"aspect-ratio:3.35;width:586px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__2_-removebg-preview-10.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__2_-removebg-preview-10-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>Multiply the tens. Remember to carry over.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__3_-removebg-preview-1-2.png\" alt=\"\" class=\"wp-image-7561\" style=\"aspect-ratio:3.35;width:582px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__3_-removebg-preview-1-2.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__3_-removebg-preview-1-2-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>Now add the results.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__4_-removebg-preview-3.png\" alt=\"\" class=\"wp-image-7562\" style=\"aspect-ratio:3.35;width:584px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__4_-removebg-preview-3.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__4_-removebg-preview-3-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>The product is 170,544.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#ffc5c5\"><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\"><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 class=\"has-text-color\" style=\"color:#b00012\"><strong>3,869 x 57 = <\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>Multiply the ones. Remember to carry over.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__5_-removebg-preview.png\" alt=\"\" class=\"wp-image-7563\" style=\"aspect-ratio:3.35;width:514px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__5_-removebg-preview.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__5_-removebg-preview-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>Multiply the tens. Remember to carry over.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__6_-removebg-preview-2.png\" alt=\"\" class=\"wp-image-7564\" style=\"aspect-ratio:3.35;width:576px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__6_-removebg-preview-2.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design__6_-removebg-preview-2-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>Now add the results.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design-removebg-preview-13.png\" alt=\"\" class=\"wp-image-7565\" style=\"aspect-ratio:3.35;width:572px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design-removebg-preview-13.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled_design-removebg-preview-13-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>The product is 220,533.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns are-vertically-aligned-center has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#ffef76\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/1-removebg-preview-13.png\" alt=\"\" class=\"wp-image-8116\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/1-removebg-preview-13.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/1-removebg-preview-13-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/1-removebg-preview-13-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/1693916552096gs9a6mos-voicemaker.in-speech.mp3\"><\/audio><\/figure>\n<\/div>\n<\/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\/76365\/804\/342\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-112.png\" alt=\"\" class=\"wp-image-5953\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-112.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-112-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-112-150x150.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\/30495\/195\/234\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-116.png\" alt=\"\" class=\"wp-image-5954\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-116.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-116-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-116-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Multiply 2-digit numbers by larger numbers Key notes : \ud83d\udd39 Key Idea: When we multiply a 2-digit number by a larger number (3-digit or more), we use the long multiplication method step by step. \ud83d\udd39 Steps to Multiply: \ud83d\udd39 Example 1: Multiply 34 \u00d7 256 \ud83d\udc49 Step 1: Arrange in columns \ud83d\udc49 Step 2: Multiply<a class=\"more-link\" href=\"https:\/\/5thclass.deltapublications.in\/index.php\/c-15-multiply-2-digit-numbers-by-larger-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.15 Multiply 2-digit numbers by larger 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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-71","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/71","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=71"}],"version-history":[{"count":22,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/71\/revisions"}],"predecessor-version":[{"id":15722,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/71\/revisions\/15722"}],"wp:attachment":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=71"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}