{"id":90,"date":"2022-04-12T04:46:09","date_gmt":"2022-04-12T04:46:09","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=90"},"modified":"2024-08-27T09:23:21","modified_gmt":"2024-08-27T09:23:21","slug":"d-13-lattice-multiplication","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/d-13-lattice-multiplication\/","title":{"rendered":"D.13 Lattice multiplication"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d\"><strong> Lattice multiplication<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-ac2bc047fac346cd34a46d2a76287634\" style=\"color:#74008b;text-transform:capitalize\">key notes:<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-57b228aa455c4efbdf8662916810948f\" style=\"color:#000060\"><strong>Introduction to Lattice Multiplication:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Definition<\/strong>: Lattice multiplication is a method for multiplying large numbers using a grid or lattice.<\/li>\n\n\n\n<li><strong>Purpose<\/strong>: It helps break down complex multiplication problems into smaller, more manageable parts.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-47dec5a8c4cf4bcc681686fa4fedbc7b\" style=\"color:#000060\"><strong>Setting Up the Lattice:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Create the Grid<\/strong>: Draw a grid with as many rows and columns as there are digits in the numbers being multiplied. For example, if multiplying a 2-digit number by another 2-digit number, draw a 2&#215;2 grid.<\/li>\n\n\n\n<li><strong>Label the Grid<\/strong>: Write one of the numbers along the top of the grid (one digit per column) and the other number along the side of the grid (one digit per row).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-066d6ed4ab75d377f80b1ccc2aace0b9\" style=\"color:#000060\"><strong>Filling in the Lattice:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Multiply Each Pair<\/strong>: For each cell in the grid, multiply the digit at the top of the column by the digit on the side of the row.<\/li>\n\n\n\n<li><strong>Write the Product<\/strong>: Write the product in each cell of the grid. The product is split into two parts: the tens digit and the units digit. Write the tens digit in the upper triangle of the cell and the units digit in the lower triangle.<\/li>\n<\/ul>\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:#eec49a\"><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-flow wp-block-group-is-layout-flow\">\n<p>\ud83c\udfafUse&nbsp;the lattice method to find&nbsp;41\u00d742.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-1b6f87e12e80c611053f1541e9f2d745\" style=\"color:#b00012\">\ud83c\udfaf &nbsp;Calculate the sum of each diagonal. Your answers for the sums will fill in the answer for the&nbsp;product.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4546\"\/><\/figure>\n<\/div><\/div>\n\n\n\n<p>\ud83d\udcd7 <strong>Step&nbsp;1<\/strong><\/p>\n\n\n\n<p>To&nbsp;multiply two numbers using the lattice method, make a table with the digits of the first factor along the top and the digits of the second factor down the right. Draw diagonal lines from the top right to the bottom left of each box in the&nbsp;table.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__1_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4547\"\/><\/figure>\n\n\n\n<p>\ud83d\udcd7 <strong>Step&nbsp;2<\/strong><\/p>\n\n\n\n<p>Multiply&nbsp;the digits and enter their products in the table. The diagonal in each box separates the digits in each product. For 1-digit products, put a 0 to the left of the&nbsp;diagonal.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__2_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4548\"\/><\/figure>\n\n\n\n<p>\ud83d\udcd7 <strong>Step&nbsp;3<\/strong><\/p>\n\n\n\n<p>Sum&nbsp;each diagonal starting from the bottom right. Make sure to carry for sums greater than 10. Here are the first two diagonals&nbsp;shown:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__3_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4551\"\/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Notice&nbsp;the carried digit,&nbsp;1.&nbsp;Find the sums for the rest of the&nbsp;diagonals.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__4_-removebg-preview-2.png\" alt=\"\" class=\"wp-image-4553\"\/><\/figure>\n\n\n\n<p>\ud83d\udcd7 <strong>Step&nbsp;4<\/strong><\/p>\n\n\n\n<p>Rewrite&nbsp;these sums as a string of digits in order from top to bottom, then left to right. This is the product of the original&nbsp;factors.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__5_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4555\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>So,&nbsp;41\u00d742=1,722.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#caf6b2\"><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-flow wp-block-group-is-layout-flow\">\n<p>\ud83c\udfaf Use&nbsp;the lattice method to find&nbsp;58\u00d766.&nbsp;<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-403b6cef168669a355696969bfefbc29\" style=\"color:#b00012\">\ud83c\udfaf Calculate the sum of each diagonal. Your answers for the sums will fill in the answer for the&nbsp;product.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__6_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4559\" style=\"width:500px;height:auto\"\/><\/figure>\n<\/div><\/div>\n\n\n\n<p>\ud83d\udcd7 <strong>Step&nbsp;1<\/strong><\/p>\n\n\n\n<p>To&nbsp;multiply two numbers using the lattice method, make a table with the digits of the first factor along the top and the digits of the second factor down the right. Draw diagonal lines from the top right to bottom left of each box in the&nbsp;table.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__7_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4560\" style=\"width:545px;height:auto\"\/><\/figure>\n\n\n\n<p>\ud83d\udcd7 <strong>Step&nbsp;2<\/strong><\/p>\n\n\n\n<p>Multiply&nbsp;the digits and enter their products in the table. The diagonal in each box separates the digits in each product. For 1-digit products, put a 0 to the left of the&nbsp;diagonal.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__8_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4561\" style=\"width:552px;height:auto\"\/><\/figure>\n\n\n\n<p>\ud83d\udcd7 <strong>Step&nbsp;3<\/strong><\/p>\n\n\n\n<p>Sum&nbsp;each diagonal starting from the bottom right. Make sure to carry for sums greater than 10. Here are the first two diagonals&nbsp;shown:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__9_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4562\" style=\"width:543px;height:auto\"\/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Notice&nbsp;the carried digit,&nbsp;1.&nbsp;Find the sums for the rest of the&nbsp;diagonals.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__10_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4563\" style=\"width:550px;height:auto\"\/><\/figure>\n\n\n\n<p>\ud83d\udcd7 <strong>Step&nbsp;4<\/strong><\/p>\n\n\n\n<p>Rewrite&nbsp;these sums as a string of digits in order from top to bottom, then left to right. This is the product of the original&nbsp;factors.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__11_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4564\" style=\"width:550px;height:auto\"\/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>So,&nbsp;58\u00d766=3,828.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#b3f0ef\"><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-flow wp-block-group-is-layout-flow\">\n<p>\ud83c\udfaf  Use&nbsp;the lattice method to find&nbsp;77\u00d748.&nbsp;<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-c569a0afaa8cb5577af25b564e9727a4\" style=\"color:#b00012\">\ud83c\udfaf  Calculate the sum of each diagonal. Your answers for the sums will fill in the answer for the&nbsp;product.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__13_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4570\" style=\"width:495px;height:auto\"\/><\/figure>\n<\/div><\/div>\n\n\n\n<p>\ud83d\udcd7 <strong>Step&nbsp;1<\/strong><\/p>\n\n\n\n<p>To&nbsp;multiply two numbers using the lattice method, make a table with the digits of the first factor along the top and the digits of the second factor down the right. Draw diagonal lines from the top right to the bottom left of each box in the&nbsp;table.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__14_-removebg-preview.png\" alt=\"\" class=\"wp-image-4571\" style=\"width:548px;height:auto\"\/><\/figure>\n\n\n\n<p>\ud83d\udcd7 <strong>Step&nbsp;2<\/strong><\/p>\n\n\n\n<p>Multiply&nbsp;the digits and enter their products in the table. The diagonal in each box separates the digits in each product. For 1-digit products, put a 0 to the left of the&nbsp;diagonal.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__15_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4572\" style=\"width:553px;height:auto\"\/><\/figure>\n\n\n\n<p>\ud83d\udcd7 <strong>Step&nbsp;3<\/strong><\/p>\n\n\n\n<p>Sum&nbsp;each diagonal starting from the bottom right. Make sure to carry for sums greater than 10. Here are the first two diagonals&nbsp;shown:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__16_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4573\" style=\"width:545px;height:auto\"\/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Notice&nbsp;the carried digit,&nbsp;1.&nbsp;Find the sums for the rest of the&nbsp;diagonals.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1__17_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4574\" style=\"width:550px;height:auto\"\/><\/figure>\n\n\n\n<p>\ud83d\udcd7 <strong>Step&nbsp;4<\/strong><\/p>\n\n\n\n<p>Rewrite&nbsp;these sums as a string of digits in order from top to bottom, then left to right. This is the product of the original&nbsp;factors.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"300\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1-18-removebg-preview.png\" alt=\"\" class=\"wp-image-3672\" style=\"width:553px;height:auto\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1-18-removebg-preview.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/1-18-removebg-preview-300x180.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>So,&nbsp;77\u00d748=3,696.<\/li>\n<\/ul>\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\/76371\/569\/767\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-209.png\" alt=\"\" class=\"wp-image-6908\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-209.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-209-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-209-150x150.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\/77033\/155\/833\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-200.png\" alt=\"\" class=\"wp-image-6909\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-200.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-200-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-200-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Lattice multiplication key notes: Introduction to Lattice Multiplication: Setting Up the Lattice: Filling in the Lattice: Learn with an example \ud83c\udfafUse&nbsp;the lattice method to find&nbsp;41\u00d742. \ud83c\udfaf &nbsp;Calculate the sum of each diagonal. Your answers for the sums will fill in the answer for the&nbsp;product. \ud83d\udcd7 Step&nbsp;1 To&nbsp;multiply two numbers using the lattice method, make a<a class=\"more-link\" href=\"https:\/\/4thclass.deltapublications.in\/index.php\/d-13-lattice-multiplication\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.13 Lattice multiplication&#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-90","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/90","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=90"}],"version-history":[{"count":22,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/90\/revisions"}],"predecessor-version":[{"id":12749,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/90\/revisions\/12749"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=90"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}