{"id":1030,"date":"2022-04-13T10:24:27","date_gmt":"2022-04-13T10:24:27","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1030"},"modified":"2023-02-07T14:12:33","modified_gmt":"2023-02-07T14:12:33","slug":"column-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/column","title":{"rendered":"Column Method &#8211; Definition With Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-fd4cb2c3-e2ba-4196-813b-52c55016b1c8\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/column#0-what-is-the-column-method>What is the column method?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/column#2-column-method-addition>Column Method Addition<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/column#4-what-is-column-subtraction>What is Column Subtraction?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/column#10-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/column#11-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/column#12-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-what-is-the-column-method\">What is the column method?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">When we arrange the numbers or shapes or objects one above the other, we refer to it as column method. In other words, the column method is a mathematical way of performing a calculation where the numbers to be added or subtracted or multiplied are set out above one another in columns.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"569\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-1.png\" alt=\"Column Method Addition\" class=\"wp-image-9850\" title=\"Column Method Addition\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-1.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-1-300x275.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">We use the column method for three basic operations i.e.addition, subtraction and multiplication.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-numbers-using-column-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_num_2_pt.png\" alt=\"Add Numbers Using Column Addition Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Numbers Using Column Addition Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-rows-and-columns\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_foundation_count_row_col_pt.png\" alt=\"Count Rows and Columns Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count Rows and Columns Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/evaluate-algebraic-expressions-with-one-operation\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/algebra_evaluate_algebric_exp_1_pt.png\" alt=\"Evaluate Algebraic Expressions with One Operation Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Evaluate Algebraic Expressions with One Operation Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/evaluate-algebraic-expressions-with-two-operations\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/algebra_evaluate_algebric_exp_2_pt.png\" alt=\"Evaluate Algebraic Expressions with Two Operations Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Evaluate Algebraic Expressions with Two Operations Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/form-algebraic-expressions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/algebra_choose_exp_1_pt.png\" alt=\"Form Algebraic Expressions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Form Algebraic Expressions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-the-number-of-rows-and-columns\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_facts_count_rowcol_pt.png\" alt=\"Identify the Number of Rows and Columns Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify the Number of Rows and Columns Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/understand-columns-in-an-array\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_facts_journey_3_gm.png\" alt=\"Understand Columns in an Array Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Understand Columns in an Array Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/use-column-addition-and-fill-in-the-correct-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_numbers_2_pt.png\" alt=\"Use Column Addition and FIll in the Correct Sum Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Use Column Addition and FIll in the Correct Sum Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/use-column-method-to-subtract-and-find-the-difference\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_subtract_num_2_pt.png\" alt=\"Use Column Method to Subtract and Find the Difference Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Use Column Method to Subtract and Find the Difference Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"1-addition-and-subtraction-column-method\">Addition and Subtraction Column Method<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Column method of addition and subtraction is the method in which the numbers are &#8216;carried&#8217; and &#8216;borrowed&#8217;. It is set out like this: The calculation during addition and subtraction is done by \u2018carrying\u2019 and \u2018borrowing\u2019 numbers from column to column.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-the-numbers-using-the-column-method\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-the-numbers-using-the-column-method.jpeg\" alt=\"Add the Numbers using the Column Method Worksheet\">\r\n\t   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data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/number-of-rows-and-columns.jpeg\" alt=\"Number of Rows and Columns Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/rows-and-columns-in-an-array\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/rows-and-columns-in-an-array.jpeg\" alt=\"Rows and Columns in an Array Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/rows-and-columns\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/rows-and-columns.jpeg\" alt=\"Rows and Columns Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/subtract-the-numbers-using-the-column-method\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/subtract-the-numbers-using-the-column-method.jpeg\" alt=\"Subtract the Numbers using the Column Method Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"2-column-method-addition\">Column Method Addition<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The column method of addition is also known as columnar addition. Column addition is a formal method of adding two or more numbers.&nbsp;<\/p>\n\n\n\n<h4 class=\"eplus-wrapper wp-block-heading\" id=\"3-for-example-\">For example:&nbsp;<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"318\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-2.png\" alt=\"Columnar Addition\" class=\"wp-image-9852\" title=\"Columnar Addition\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-2-300x154.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-what-is-column-subtraction\">What is Column Subtraction?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The column subtraction is a way of finding the difference between two or more numbers by arranging them one above the other .<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Column method Subtraction:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"312\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-3.png\" alt=\"Column Method Subtraction\" class=\"wp-image-9853\" title=\"Column Method Subtraction\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-3-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-why-is-place-value-important-in-the-column-method\">Why is Place Value Important in the Column Method?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The column method is the quickest way to add and subtract, but place value plays an important role in the column method.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Let&#8217;s look at the example below and use column addition.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">First, the numbers are lined up one above the other.&nbsp;<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Secondly, we add the ones and write the answer.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">For example: Adding $9$ and $5$ gives an answer of $14$, but we write only the ones under the line &#8211; in this case, it&#8217;s the digit $4$.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">The third step is to regroup the tens under the tens column. In $14$, the digit $1$ is the value of the tens.&nbsp;<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Add the digits at the tens place. In our example, $8 + 1 = 9$, but we add 1 from&nbsp; under the line. So the answer for the tens is $9$.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"357\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-4.png\" alt=\"Column Method of Addition\" class=\"wp-image-9854\" title=\"Column Method of Addition\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-4-300x173.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">When two numbers of different digits are added we can place them correctly using place value. For example: the decimal number $0.1$ and a number $28$.&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"390\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-5.png\" alt=\"Column Method Addition for Decimal Numbers\" class=\"wp-image-9855\" title=\"Column Method Addition for Decimal Numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-5-300x189.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"6-the-expanded-column-method\">The Expanded Column Method<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The expanded method is the breaking down each of the numbers in your sum into the smaller, more manageable numbers that they are made up of. We basically break down the numbers in the expanded form.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, the number $782$ can be broken down into: $700 + 80 + 2$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The expanded method is an addition sum is carried out in the following way:&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Suppose, we have to add $47 + 134$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Firstly, we will expand $47 and 134$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$47 = 40 and 7 and 134 = 100, 30 and 4$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Now we sort the numbers into hundreds, tens, and ones and add them in their groups.&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">We will add the digits at ones place.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">In this example, we add $7 + 4 = 11$. We keep 1 at the ones place and take another $1$ to the tens place.&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">We will add the digits at tens place.<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">In this example, we add $30 + 40 + 10 = 80$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">We will add the digits at the hundreds place.<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">In this example, we add $100 + 0 = 200$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Now, we add all of our digits together, we get $100 + 80 + 1 = 181$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Another example is given below:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"413\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-6.png\" alt=\"Expanded Column Method\" class=\"wp-image-9856\" title=\"Expanded Column Method\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-6-300x200.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Let us take an example of an expanded column method of subtraction.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"622\" height=\"405\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-7.png\" alt=\"Expanded Column Method of Subtraction\" class=\"wp-image-9857\" title=\"Expanded Column Method of Subtraction\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-7.png 622w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-7-300x195.png 300w\" sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"7-the-column-method-for-subtraction-without-borrowing\">The Column Method for Subtraction without Borrowing<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Sometimes we don&#8217;t have to borrow the digits from a column in subtraction.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example: $76 \u2013 42$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The first step is to sort your numbers into tens and ones:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Tens $\u2192 7 and 6$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Ones $\u2192 4 and 2$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"396\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-8.png\" alt=\"Sort Numbers into tens and ones\" class=\"wp-image-9858\" title=\"Sort Numbers into tens and ones\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-8.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-8-300x192.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">We should always place the biggest numbers in the top row of the columns.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Now you can subtract the numbers in each column:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"388\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-9.png\" alt=\"Subtract using column method\" class=\"wp-image-9859\" title=\"Subtract using column method\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-9.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-9-300x188.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">The answer to the sum is $76 \u2013 42$ is $34$.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"8-the-column-method-for-addition-without-borrowing\">The Column Method for Addition without Borrowing<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">We use the column method for addition without borrowing or carrying any values between columns.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example: $282 + 615$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">On expanding, we get&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Hundreds $\u2192 200$ and $600$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Tens $\u2192 80$ and $10$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Ones$\u2192 2$ and $5$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Now, put the values into their columns:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"385\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-10.png\" alt=\"Place numbers to add in columns\" class=\"wp-image-9860\" title=\"Place numbers to add in columns\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-10.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-10-300x186.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Next, we add up all of your values within their groups.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"408\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-11.png\" alt=\"Column Method to Add Numbers\" class=\"wp-image-9861\" title=\"Column Method to Add Numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-11.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-11-300x197.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Therefore, the answer to the sum $262 + 615$ is $897$.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"9-the-column-method-of-multiplication\">The Column Method of Multiplication<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">We also use the column method to multiply two numbers which involves writing one number underneath the other in a similar way to column addition and subtraction.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">When we multiply two numbers using the column method multiplication, we use the following steps:&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Suppose we are multiplying $96$ and $36$.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Step I: We multiply the multiplicand $(96)$ by the ones digit of multiplier $(6)$ i.e.,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"398\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-step-1.png\" alt=\"Multiply Multiplicand by the ones digit of multiplier\" class=\"wp-image-9862\" title=\"Multiply Multiplicand by the ones digit of multiplier\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-step-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-step-1-300x193.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Step II: The next step is to multiply the multiplicand $(96)$ by the tens digit of multiplier $(3)$ i.e.,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"438\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-step-2.png\" alt=\"Multiply Multiplicand by the tens digit of multiplier\" class=\"wp-image-9863\" title=\"Multiply Multiplicand by the tens digit of multiplier\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-step-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-step-2-300x212.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Step III: The next step is to add the partial products i.e.,<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Partial product $1 (576 ones) +$ Partial product $2 (288 tens)$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$576 \u00d7 1 + 288 \u00d7 10$&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$576 + 2880 = 3456$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">It actually means:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"513\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-step-3-a.png\" alt=\"Column Method multiplication\" class=\"wp-image-9864\" title=\"Column Method multiplication\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-step-3-a.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-Method-step-3-a-300x248.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Now we shall apply the same method for multiplying a $3-$digit number by a $2-$digit number.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Example:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"512\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-same-Method-step-3b.png\" alt=\"Column Method for multiplication\" class=\"wp-image-9865\" title=\"Column Method for multiplication\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-same-Method-step-3b.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-same-Method-step-3b-300x248.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Let\u2019s take another example. Find the product of $145$ times $12$ using the column method.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step I:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"430\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-1.png\" alt=\"Multiply ones digit of both Multiplicand and multiplier\" class=\"wp-image-9866\" title=\"Multiply ones digit of both Multiplicand and multiplier\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-1-300x208.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step II:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"615\" height=\"366\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-2.png\" alt=\"Multiply tens digit of Multiplicand by the multiplier\" class=\"wp-image-9867\" title=\"Multiply tens digit of Multiplicand by the multiplier\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-2.png 615w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-2-300x179.png 300w\" sizes=\"auto, (max-width: 615px) 100vw, 615px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step III:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"381\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-3.png\" alt=\"Multiply hundreds digit of Multiplicand by the multiplier\" class=\"wp-image-9868\" title=\"Multiply hundreds digit of Multiplicand by the multiplier\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-3.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-3-300x185.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step IV:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"346\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-4.png\" alt=\"Multiply Multiplicand by the  tens digit of the multiplier\" class=\"wp-image-9869\" title=\"Multiply Multiplicand by the  tens digit of the multiplier\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-4-300x167.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step V:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"617\" height=\"359\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-5.png\" alt=\"Multiply 3-digit and 2-digit number by column method\" class=\"wp-image-9870\" title=\"Multiply 3-digit and 2-digit number by column method\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-5.png 617w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-5-300x175.png 300w\" sizes=\"auto, (max-width: 617px) 100vw, 617px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step VI:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"368\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-6.png\" alt=\"Use column method to multiply numbers\" class=\"wp-image-9871\" title=\"Use column method to multiply numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Column-shortcut-Method-Step-6-300x178.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"10-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>1. Find the error in the following.&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"545\" height=\"190\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Solved-Examples-1a.png\" alt=\"Find error in column method addition\" class=\"wp-image-9872\" title=\"Find error in column method addition\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Solved-Examples-1a.png 545w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Solved-Examples-1a-300x105.png 300w\" sizes=\"auto, (max-width: 545px) 100vw, 545px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Answer: The error is that the tens and hundreds columns aren\u2019t correctly added. The carryover digits weren\u2019t added. The correct sum will be:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"545\" height=\"190\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Solved-Examples-1b.png\" alt=\"Add 4-digit numbers using column method addition\" class=\"wp-image-9873\" title=\"Add 4-digit numbers using column method addition\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Solved-Examples-1b.png 545w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Solved-Examples-1b-300x105.png 300w\" sizes=\"auto, (max-width: 545px) 100vw, 545px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>2. Find the value of \u2018A\u2019 in the following.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"426\" height=\"175\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Solved-Examples-2.png\" alt=\"Use column method subtraction to find the value of A\" class=\"wp-image-9874\" title=\"Use column method subtraction to find the value of A\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Solved-Examples-2.png 426w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Solved-Examples-2-300x123.png 300w\" sizes=\"auto, (max-width: 426px) 100vw, 426px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Solution: $300 &#8211; $A$&nbsp; = 200$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$So, $A$ = 100$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>3. The cost of 1 necklace is Rs <\/strong>$342$<strong>. What will be the cost of <\/strong>$23$<strong> necklaces? If Sharon has Rs <\/strong>$8000$<strong>, how much money will be left after paying for the necklaces?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Answer: Cost of 1 necklace $=$ Rs $342$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Cost of $23$ necklaces $= 342 \u2715 23 =$ Rs $7866$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Cost of $23$ necklaces $= 6000 + 900 + 800 + 120 + 40 + 6 =$ Rs $7866$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Amount left $= 8000 &#8211; 7866$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"544\" height=\"230\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Solved-Examples-3.png\" alt=\"Column method subtraction for 4-digit numbers\" class=\"wp-image-9875\" title=\"Column method subtraction for 4-digit numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Solved-Examples-3.png 544w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/Solved-Examples-3-300x127.png 300w\" sizes=\"auto, (max-width: 544px) 100vw, 544px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Amount left $=$ Rs $134$<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"11-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Column Method - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">If we use the column method to multiply 543 and 16, then what will come in one's place?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">7<\/div><div class=\"spq_answer_block\" data-value=\"1\">8<\/div><div class=\"spq_answer_block\" data-value=\"2\">6<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of these<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 8<br\/>$6\\times3 = 18$, so at ones place, we will get $8$. <\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What will replace A in the following?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/pp2.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">4<\/div><div class=\"spq_answer_block\" data-value=\"1\">5<\/div><div class=\"spq_answer_block\" data-value=\"2\">3<\/div><div class=\"spq_answer_block\" data-value=\"3\">2<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 4<br\/>$4500 \u2212 1352 = 3148$<br>\r\nSo, at tens place, we get 4.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/pp2solution.png\"><\/div><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Add: 2785 and 1948<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">4533<\/div><div class=\"spq_answer_block\" data-value=\"1\">4674<\/div><div class=\"spq_answer_block\" data-value=\"2\">4733<\/div><div class=\"spq_answer_block\" data-value=\"3\">4534<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 4733<br\/>$2785 + 1948 = 4733$<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/pp3-solution.png\"><\/div><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Column Method - Definition With Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Column Method\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If we use the column method to multiply 543 and 16, then what will come in one's place?\",\n                    \"text\": \"If we use the column method to multiply 543 and 16, then what will come in one's place?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$6\\\\times3 = 18$$, so at ones place, we will get $$8$$. \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$6\\\\times3 = 18$$, so at ones place, we will get $$8$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$6\\\\times3 = 18$$, so at ones place, we will get $$8$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$6\\\\times3 = 18$$, so at ones place, we will get $$8$$. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"8\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$6\\\\times3 = 18$$, so at ones place, we will get $$8$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$6\\\\times3 = 18$$, so at ones place, we will get $$8$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What will replace A in the following?\",\n                    \"text\": \"What will replace A in the following? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/pp2.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$4500 \u2212 1352 = 3148$$<br>\r\nSo, at tens place, we get 4.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4500 \u2212 1352 = 3148$$<br>\r\nSo, at tens place, we get 4.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4500 \u2212 1352 = 3148$$<br>\r\nSo, at tens place, we get 4.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4500 \u2212 1352 = 3148$$<br>\r\nSo, at tens place, we get 4.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"4\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$4500 \u2212 1352 = 3148$$<br>\r\nSo, at tens place, we get 4. <img 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         \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4533\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2785 + 1948 = 4733$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4674\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2785 + 1948 = 4733$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4534\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2785 + 1948 = 4733$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"4733\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$2785 + 1948 = 4733$$ <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/pp3-solution.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$2785 + 1948 = 4733$$ <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/pp3-solution.png\\\"\/>\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"12-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-b6a8ed35-a9f2-43aa-86a5-c930a17b696f\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-b6a8ed35-a9f2-43aa-86a5-c930a17b696f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b6a8ed35-a9f2-43aa-86a5-c930a17b696f\"><strong>What is the difference between the column method and horizontal method?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-b6a8ed35-a9f2-43aa-86a5-c930a17b696f\">\n\n<p>The column method is the method of arranging the numbers one above the other and adding, subtracting or multiplying in the columns. On the other hand, the horizontal method is the way of arranging the numbers in a horizontal line then the terms are arranged to collect all the groups of like terms.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-b6a8ed35-a9f2-43aa-86a5-c930a17b696f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b6a8ed35-a9f2-43aa-86a5-c930a17b696f\"><strong>What is another name for the column method of addition?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-b6a8ed35-a9f2-43aa-86a5-c930a17b696f\">\n\n<p>The other name for column method of addition is columnar addition or vertical method of addition.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-b6a8ed35-a9f2-43aa-86a5-c930a17b696f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b6a8ed35-a9f2-43aa-86a5-c930a17b696f\"><strong>What is the column method division?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-b6a8ed35-a9f2-43aa-86a5-c930a17b696f\">\n\n<p>The column method division is a simple way of the traditional long division method. The lines are drawn in order to separate the digits of the divisor. Each place-value column is solved from left to right.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is the column method? When we arrange the numbers or shapes or objects one above the other, we refer to it as column method. In other words, the column method is a mathematical way of performing a calculation where the numbers to be added or subtracted or multiplied are set out above one another &#8230; <a title=\"Column Method &#8211; Definition With Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/column\" aria-label=\"More on Column Method &#8211; Definition With Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1030","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1030","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1030"}],"version-history":[{"count":21,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1030\/revisions"}],"predecessor-version":[{"id":24017,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1030\/revisions\/24017"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1030"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1030"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1030"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}