{"id":1046,"date":"2022-04-13T11:24:20","date_gmt":"2022-04-13T11:24:20","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1046"},"modified":"2024-04-02T05:30:04","modified_gmt":"2024-04-02T05:30:04","slug":"distributive-property-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/distributive-property","title":{"rendered":"Distributive Property &#8211; Definition, Examples, Facts, FAQs"},"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<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-a4ca9ae7-39ee-46d9-b53a-9b0e61b6acf1\" 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\/distributive-property#0-what-is-distributive-property>What Is Distributive Property?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/distributive-property#4-verification-of-the-distributive-property>Verification of the Distributive Property<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/distributive-property#5-how-to-use-the-distributive-property>How to Use the Distributive Property<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/distributive-property#9-solved-examples-on-distributive-property>Solved Examples on Distributive Property<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/distributive-property#10-practice-problems-on-distributive-property>Practice Problems on Distributive Property<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/distributive-property#11-frequently-asked-questions-on-distributive-property>Frequently Asked Questions on Distributive Property<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-distributive-property\">What Is Distributive Property?<\/h2>\n\n\n\n<p>According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.<\/p>\n\n\n\n<p>To \u201cdistribute\u201d means to divide something or give a share or part of something.<\/p>\n\n\n\n<p>So what does distributive property mean in math? The distributive property describes how we can distribute multiplication over addition and subtraction.<\/p>\n\n\n\n<p><strong>Distributive Property Formula (Bold)<\/strong><\/p>\n\n\n\n<p>According to the distributive property, an expression of the form $A (B + C)$ can be solved as<\/p>\n\n\n\n<p>$A (B + C) = AB + AC$.<\/p>\n\n\n\n<p>This property applies to subtraction as well.&nbsp;<\/p>\n\n\n\n<p>$A (B \\;\u2013\\; C) = AB \\;\u2013\\; AC$<\/p>\n\n\n\n<p>Here, the multiplier A is \u2018distributed\u2019 in order to multiply it with B and C separately.&nbsp;<\/p>\n\n\n\n<p>(A, B, and C are any real numbers.)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"305\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/distributive-property-formula.png\" alt=\"Distributive property formula\" class=\"wp-image-41470\" title=\"Distributive property formula\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/distributive-property-formula.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/distributive-property-formula-300x148.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Let\u2019s visualize the distributive property using multiplication arrays!<\/p>\n\n\n\n<p>$3 \\times (2 + 3)$ is represented by 3 rows and 5 columns.&nbsp;<\/p>\n\n\n\n<p>$3 \\times 2$ is represented by 3 rows and 2 columns.<\/p>\n\n\n\n<p>$3 \\times 3$ is represented by 3 rows and 3 columns.<\/p>\n\n\n\n<p>You can see that we broke down a big array into two smaller arrays using the distributive property.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"280\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-illustration-of-distributive-property.png\" alt=\"Visual illustration of distributive property\" class=\"wp-image-41471\" title=\"Visual illustration of distributive property\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-illustration-of-distributive-property.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-illustration-of-distributive-property-300x135.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Here\u2019s an example of how the result does not change when solved normally and when solved using the distributive property:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th><strong>Using order of operations<\/strong><\/th><th><strong>Using distributive property<\/strong><\/th><\/tr><\/thead><tbody><tr><td>$(1 + 2 + 3) \\times 5$<br>$=6 \\times 5$<br>$= 30$<\/td><td>$(1 + 2 + 3) \\times 5$<br>$=(1 \\times 5) + (2 \\times 5) + (3 \\times 5)$<br>$=5 + 10 + 15$<br>$= 30$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>This property helps in making difficult problems simpler. You can use this property of multiplication to rewrite an expression by distributing or breaking down a factor as a sum or difference of two numbers.<\/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-using-associative-property\" 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_facts_together_we_flee_4_gm.png\" alt=\"Add Using Associative Property Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div 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class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_facts_mul_dispro_pProd_pt.png\" alt=\"Solve using Distributive Property 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\">Solve using Distributive Property 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 = 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id=\"1-distributive-property-definition\">Distributive Property: Definition<\/h2>\n\n\n\n<p>The distributive property is a fundamental property that defines how multiplication operation is distributed over <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/addition\">addition<\/a> and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract\">subtraction<\/a>.<\/p>\n\n\n\n<p>The distributive property is also called the distributive law of multiplication over addition and subtraction.&nbsp;<\/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-commutative-property-of-addition\" data-vars-ga-category=\"splashlearn_vocab\" 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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\/break-using-distributive-property.jpeg\" alt=\"Break using Distributive Property 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\/commutative-property-of-addition-on-number-line\" 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\/commutative-property-of-addition-on-number-line.jpeg\" alt=\"Commutative Property of Addition on Number Line 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\/commutative-property-of-addition\" 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\/commutative-property-of-addition.jpeg\" alt=\"Commutative Property of Addition 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 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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=\"wp-block-heading\" id=\"2-distributive-property-of-multiplication-over-addition\">Distributive Property of Multiplication over Addition<\/h2>\n\n\n\n<p>When we have to multiply a number by the sum of two numbers, we use the distributive property of multiplication over addition.&nbsp;<\/p>\n\n\n\n<p>Distributive Property of Multiplication over Addition: &nbsp;$A (B + C) = AB + AC$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-distributive-property-of-multiplication-over-subtraction\">Distributive Property of Multiplication over Subtraction<\/h2>\n\n\n\n<p>The distributive property of multiplication over subtraction is equivalent to the distributive property of multiplication over addition, except for the operations of addition and subtraction.<\/p>\n\n\n\n<p>Distributive Property of Multiplication over Subtraction: &nbsp;$A (B \\;-\\; C) = AB \\;-\\; AC$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"316\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/distributive-property-of-multiplication-over-subtraction.png\" alt=\"Distributive property of multiplication over subtraction\" class=\"wp-image-41472\" title=\"Distributive property of multiplication over subtraction\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/distributive-property-of-multiplication-over-subtraction.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/distributive-property-of-multiplication-over-subtraction-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>$A(B \\;\u2212\\; C)$ and $AB \\;\u2212\\; AC$ are equivalent expressions.<\/p>\n\n\n\n<p>Consider these distributive property examples below.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-verification-of-the-distributive-property\">Verification of the Distributive Property<\/h2>\n\n\n\n<p>We can verify the distributive property by solving both LHS and RHS.&nbsp;<\/p>\n\n\n\n<p><strong>Example<\/strong>: Solve the expression $2 (4 \\;\u2013\\; 3)$.&nbsp;<\/p>\n\n\n\n<p>Using the distributive law of multiplication over subtraction, we have<\/p>\n\n\n\n<p>$2 \\times (4 \\;\u2013\\; 3) = (2 \\times 4) \\;\u2013\\; 2 \\times 3 = 8 \\;\u2013\\; 6 = 2$<\/p>\n\n\n\n<p>Again, if we try to solve the expression with the order of operations or PEMDAS, we&#8217;ll have to subtract the numbers in parentheses, then multiply the difference with the number outside the parentheses, which implies:<\/p>\n\n\n\n<p>$2 \\times (4 \\;\u2013\\; 3)=2 \\times 1 = 2$<\/p>\n\n\n\n<p>The distributive property of subtraction is verified since both techniques give the same result.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-how-to-use-the-distributive-property\">How to Use the Distributive Property<\/h2>\n\n\n\n<p>There are three simple steps to use the distributive property.<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Distribute the multiplier (the number outside the parentheses).<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Find the individual products.<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>Add or subtract.<\/p>\n\n\n\n<p>Let\u2019s understand how to use the distributive property with the help of examples.<\/p>\n\n\n\n<p><strong>Examples of distributive property of multiplication over addition and subtraction:<\/strong><\/p>\n\n\n\n<p><strong>Example 1: <\/strong>Solve the expression: $6 \\times (20 + 5)$ using the distributive property of multiplication over addition.&nbsp;<\/p>\n\n\n\n<p>Let\u2019s use the property to calculate the expression $6 \\times (20 + 5)$, the number 6 is spread across the two addends. To put it simply, we multiply each addend by 6 and then the products can be added.<\/p>\n\n\n\n<p>$6 \\times 20 + 6 \\times 5 = 120 + 30 = 150$<\/p>\n\n\n\n<p><strong>Example 2:<\/strong> Solve the expression $2 \\times (2 + 4)$ using the distributive law of multiplication over addition.<\/p>\n\n\n\n<p>$2 \\times (2 + 4) = 2 \\times 2 + 2 \\times 4 = 4 + 8 = 12$<\/p>\n\n\n\n<p>If we try to solve this expression using the PEMDAS rule, we&#8217;ll have to add the numbers in parentheses and then multiply the total by the number outside the parentheses. This implies:<\/p>\n\n\n\n<p>$2 (2 + 4) = 2 \\times 6 = 12$<\/p>\n\n\n\n<p>Thus, we get the same result irrespective of the method used.<\/p>\n\n\n\n<p><strong>Example 3:<\/strong> Solve the expression $6 \\times (20 \\;\u2013\\; 5)$ using the distributive property of multiplication over subtraction.<\/p>\n\n\n\n<p>Using the distributive property of multiplication over subtraction, we get<\/p>\n\n\n\n<p>$6 \\times (20 \\;\u2013\\; 5) = 6 \\times 20 \\;\u2013\\; 6 \\times 5 = 120 \\;\u2013\\; 30 = 90$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-distributive-property-of-division\">Distributive Property of Division<\/h2>\n\n\n\n<p>We can use the distributive law of division by distributing the dividend (or breaking down the dividend) into the sum of two numbers (partial dividends), such that both the numbers are completely divisible by the divisor.&nbsp;<\/p>\n\n\n\n<p><strong>Example: <\/strong>$132 \\div 6$<\/p>\n\n\n\n<p>132 can be broken down as $60 + 60 + 12$, thus making division easier. Note that 60 and 12 both are divisible by 6.<\/p>\n\n\n\n<p>$132 \\div 6 = (60 + 60 + 12) \\div 6$<\/p>\n\n\n\n<p>$132 \\div 6 = (60 \\div 6) + (60 \\div 6) + (12 \\div 6)$<\/p>\n\n\n\n<p>$132 \\div 6 = 10 + 10 + 2$<\/p>\n\n\n\n<p>$132 \\div 6 = 22$<\/p>\n\n\n\n<p>We cannot break $132 \\div 6$ as $(50 + 50 + 32)\\div 6$ since 50 and 32 are not divisible by 6.<\/p>\n\n\n\n<p>Also, we cannot break the divisor:&nbsp; $132 \\div (4 + 2)$ will give you the wrong result.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-facts-about-distributive-property\">Facts about Distributive Property<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>We can describe the distributive property as breaking down a multiplication fact into the sum of two multiplication facts.<\/li>\n\n\n\n<li>You can also use the distributive property with variables when simplifying, expanding, polynomial expressions.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the distributive property, formulas, when to use the distributive property, and also how to use distributive property in complex equations and problems. Let\u2019s solve a few examples and practice problems based on the distributive property.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-solved-examples-on-distributive-property\">Solved Examples on Distributive Property<\/h2>\n\n\n\n<p><strong>Example 1:&nbsp; Solve <\/strong>$(5 + 7 + 3) 4$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution<\/strong>: Using the distributive property of multiplication over addition,<\/p>\n\n\n\n<p>$A \\times (B + C) = AB + AC$<\/p>\n\n\n\n<p>$(5 + 7 + 3) \\times 4$<\/p>\n\n\n\n<p>$= ( 5 \\times 4) + (7 \\times 4) + (3  \\times 4)$<\/p>\n\n\n\n<p>$= 20 + 28 + 12$<\/p>\n\n\n\n<p>$= 60$<\/p>\n\n\n\n<p>We can verify it as:<\/p>\n\n\n\n<p>$(5 + 7 + 3) \\times 4 = 15 \\times 4 = 60$<\/p>\n\n\n\n<p><strong>Example 2: Solve the following using the distributive property: <\/strong>$\\;\u2212\\;2 (\\;\u2212\\;x \\;\u2212\\; 7)$<strong>.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution<\/strong>: Using the distributive property,<\/p>\n\n\n\n<p>$A (B \\;\u2013\\; C) = AB \\;\u2013\\; AC$<\/p>\n\n\n\n<p>$\\;\u2212\\;2 (\\;\u2212\\;x \\;\u2212\\; 7) = (\\;\u2212\\;2)(\\;\u2212\\;x) \\;\u2212\\; (\\;\u2212\\;2)(7)$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 2x \\;\u2212\\; (\\;\u2212\\;14)$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 2x + 14$<\/p>\n\n\n\n<p><strong>Example 3: Which property does the equation <\/strong>$3 (4 \\;\u2212\\; 9) = (3 \\times 4) \\;\u2212\\; (3 \\times 9)$<strong> show?<\/strong><\/p>\n\n\n\n<p><strong>Solution<\/strong>:<\/p>\n\n\n\n<p>Given equation: $3 (4 \\;\u2212\\; 9) = (3 \\times 4) \\;\u2212\\; (3 \\times 9)$<\/p>\n\n\n\n<p>Comparing it with the distributive property formula for multiplication over subtraction&nbsp;$A (B \\;-\\; C) = AB \\;-\\; AC$, we get that the above equation shows the distributive property of multiplication over subtraction.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-practice-problems-on-distributive-property\">Practice Problems on Distributive Property<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Distributive Property - Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The expression $7 ($x$ + 6)$ equals<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">x $+ 42$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$7$x $+ 13$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$7$x $+ 42$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$7$x $+ 6$<\/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: $7$x $+ 42$<br\/>Using the distributive property of multiplication over addition,<br>\r\nA (B $+$ C) $=$ AB $+$ AC<br>\r\n$7 ($x $+ 6) = 7($x$)  + 7(6) = 7$x $+ 42$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The expression $3 (7x \\;\u2013\\; 8)$ equals<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$13$x<\/div><div class=\"spq_answer_block\" data-value=\"1\">$7$x$ \u2013 24$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$21$x$ \u2013 24$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$21$x$ \u2013 8$<\/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: $21$x$ \u2013 24$<br\/>Using the distributive property of multiplication over subtraction,<br>\r\nA (B $\u2013$ C) $=$ AB $\u2013$ AC<br>\r\n$3 (7$x $\u2013 8) = 3 (7$x$) \u2013 3 (8) = 21$x$ - 24$<\/span><\/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\">The expression m $(3$n $\u2013 9)$ equals<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$3$mn $\u2013 9$n<\/div><div class=\"spq_answer_block\" data-value=\"1\">$3$mn $\u2013 9$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$3$mn $\u2013 9$m<\/div><div class=\"spq_answer_block\" data-value=\"3\">$3$mn$+9$m<\/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: $3$mn $\u2013 9$m<br\/>Using the distributive property of multiplication over subtraction,<br>\r\nA (B $\u2013$ C) $=$ AB $\u2013$ AC<br>\r\nm $(3$n $\u2013 9)$ $=$ m $(3$n$) \u2013$ m $(9) = 3$mn $\u2013 9$m<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The yield of a banana farm is 355 dozens of bananas. How many bananas were harvested?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">4260<\/div><div class=\"spq_answer_block\" data-value=\"1\">3550<\/div><div class=\"spq_answer_block\" data-value=\"2\">2130<\/div><div class=\"spq_answer_block\" data-value=\"3\">426<\/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: 4260<br\/>The total number of bananas harvested is given by the expression $355 \\times 12$.<br>\r\nThe dozen or 12 can be distributed as 10 and 2.<br>\r\nThe total number of bananas harvested $= 355 \\times (10 + 2)$<br>\r\nUsing the distributive property of multiplication over addition,<br>\r\n$A (B + C) = AB + AC$<br>\r\n$355 \\times (10 + 2) = (355 \\times 10) + (355 \\times 2)$<br>\r\n$355 \\times (10 + 2) = 3550 + 710 = 4260$<br>\r\nIn total, 4260 bananas were harvested at the farm.<\/span><\/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\": \"Distributive Property - 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24$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$13$$x\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the distributive property of multiplication over subtraction,<br>\r\nA (B $$\u2013$$ C) $$=$$ AB $$\u2013$$ AC<br>\r\n$$3 (7$$x $$\u2013 8) = 3 (7$$x$$) \u2013 3 (8) = 21$$x$$ - 24$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$7$$x$$ \u2013 24$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the distributive property of multiplication over subtraction,<br>\r\nA (B $$\u2013$$ C) $$=$$ AB $$\u2013$$ AC<br>\r\n$$3 (7$$x $$\u2013 8) = 3 (7$$x$$) \u2013 3 (8) = 21$$x$$ - 24$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$21$$x$$ \u2013 8$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the distributive property of multiplication over subtraction,<br>\r\nA (B $$\u2013$$ C) $$=$$ AB $$\u2013$$ AC<br>\r\n$$3 (7$$x $$\u2013 8) = 3 (7$$x$$) \u2013 3 (8) = 21$$x$$ - 24$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$21$$x$$ \u2013 24$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Using the distributive property of multiplication over subtraction,<br>\r\nA (B $$\u2013$$ C) $$=$$ AB $$\u2013$$ AC<br>\r\n$$3 (7$$x $$\u2013 8) = 3 (7$$x$$) \u2013 3 (8) = 21$$x$$ - 24$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Using the distributive property of multiplication over subtraction,<br>\r\nA (B $$\u2013$$ C) $$=$$ AB $$\u2013$$ AC<br>\r\n$$3 (7$$x $$\u2013 8) = 3 (7$$x$$) \u2013 3 (8) = 21$$x$$ - 24$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The expression m $$(3$$n $$\u2013 9)$$ equals\",\n                    \"text\": \"The expression m $$(3$$n $$\u2013 9)$$ equals\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Using the distributive property of multiplication over subtraction,<br>\r\nA (B $$\u2013$$ C) $$=$$ AB $$\u2013$$ AC<br>\r\nm $$(3$$n $$\u2013 9)$$ $$=$$ m $$(3$$n$$) \u2013$$ m $$(9) = 3$$mn $$\u2013 9$$m\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3$$mn $$\u2013 9$$n\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the distributive property of multiplication over subtraction,<br>\r\nA (B $$\u2013$$ C) $$=$$ AB $$\u2013$$ AC<br>\r\nm $$(3$$n $$\u2013 9)$$ $$=$$ m $$(3$$n$$) \u2013$$ m $$(9) = 3$$mn $$\u2013 9$$m\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3$$mn $$\u2013 9$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the distributive property of multiplication over subtraction,<br>\r\nA (B $$\u2013$$ C) $$=$$ AB $$\u2013$$ AC<br>\r\nm $$(3$$n $$\u2013 9)$$ $$=$$ m $$(3$$n$$) \u2013$$ m $$(9) = 3$$mn $$\u2013 9$$m\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3$$mn$$+9$$m\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Using the distributive property of multiplication over subtraction,<br>\r\nA (B $$\u2013$$ C) $$=$$ AB $$\u2013$$ AC<br>\r\nm $$(3$$n $$\u2013 9)$$ $$=$$ m $$(3$$n$$) \u2013$$ m $$(9) = 3$$mn $$\u2013 9$$m\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$3$$mn $$\u2013 9$$m\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Using the distributive property of multiplication over subtraction,<br>\r\nA (B $$\u2013$$ C) $$=$$ AB $$\u2013$$ AC<br>\r\nm $$(3$$n $$\u2013 9)$$ $$=$$ m $$(3$$n$$) \u2013$$ m $$(9) = 3$$mn $$\u2013 9$$m\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Using the distributive property of multiplication over subtraction,<br>\r\nA (B $$\u2013$$ C) $$=$$ AB $$\u2013$$ AC<br>\r\nm $$(3$$n $$\u2013 9)$$ $$=$$ m $$(3$$n$$) \u2013$$ m $$(9) = 3$$mn $$\u2013 9$$m\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The yield of a banana farm is 355 dozens of bananas. How many bananas were harvested?\",\n                    \"text\": \"The yield of a banana farm is 355 dozens of bananas. How many bananas were harvested?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The total number of bananas harvested is given by the expression $$355 \\\\times 12$$.<br>\r\nThe dozen or 12 can be distributed as 10 and 2.<br>\r\nThe total number of bananas harvested $$= 355 \\\\times (10 + 2)$$<br>\r\nUsing the distributive property of multiplication over addition,<br>\r\n$$A (B + C) = AB + AC$$<br>\r\n$$355 \\\\times (10 + 2) = (355 \\\\times 10) + (355 \\\\times 2)$$<br>\r\n$$355 \\\\times (10 + 2) = 3550 + 710 = 4260$$<br>\r\nIn total, 4260 bananas were harvested at the farm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3550\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The total number of bananas harvested is given by the expression $$355 \\\\times 12$$.<br>\r\nThe dozen or 12 can be distributed as 10 and 2.<br>\r\nThe total number of bananas harvested $$= 355 \\\\times (10 + 2)$$<br>\r\nUsing the distributive property of multiplication over addition,<br>\r\n$$A (B + C) = AB + AC$$<br>\r\n$$355 \\\\times (10 + 2) = (355 \\\\times 10) + (355 \\\\times 2)$$<br>\r\n$$355 \\\\times (10 + 2) = 3550 + 710 = 4260$$<br>\r\nIn total, 4260 bananas were harvested at the farm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2130\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The total number of bananas harvested is given by the expression $$355 \\\\times 12$$.<br>\r\nThe dozen or 12 can be distributed as 10 and 2.<br>\r\nThe total number of bananas harvested $$= 355 \\\\times (10 + 2)$$<br>\r\nUsing the distributive property of multiplication over addition,<br>\r\n$$A (B + C) = AB + AC$$<br>\r\n$$355 \\\\times (10 + 2) = (355 \\\\times 10) + (355 \\\\times 2)$$<br>\r\n$$355 \\\\times (10 + 2) = 3550 + 710 = 4260$$<br>\r\nIn total, 4260 bananas were harvested at the farm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"426\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The total number of bananas harvested is given by the expression $$355 \\\\times 12$$.<br>\r\nThe dozen or 12 can be distributed as 10 and 2.<br>\r\nThe total number of bananas harvested $$= 355 \\\\times (10 + 2)$$<br>\r\nUsing the distributive property of multiplication over addition,<br>\r\n$$A (B + C) = AB + AC$$<br>\r\n$$355 \\\\times (10 + 2) = (355 \\\\times 10) + (355 \\\\times 2)$$<br>\r\n$$355 \\\\times (10 + 2) = 3550 + 710 = 4260$$<br>\r\nIn total, 4260 bananas were harvested at the farm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"4260\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The total number of bananas harvested is given by the expression $$355 \\\\times 12$$.<br>\r\nThe dozen or 12 can be distributed as 10 and 2.<br>\r\nThe total number of bananas harvested $$= 355 \\\\times (10 + 2)$$<br>\r\nUsing the distributive property of multiplication over addition,<br>\r\n$$A (B + C) = AB + AC$$<br>\r\n$$355 \\\\times (10 + 2) = (355 \\\\times 10) + (355 \\\\times 2)$$<br>\r\n$$355 \\\\times (10 + 2) = 3550 + 710 = 4260$$<br>\r\nIn total, 4260 bananas were harvested at the farm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The total number of bananas harvested is given by the expression $$355 \\\\times 12$$.<br>\r\nThe dozen or 12 can be distributed as 10 and 2.<br>\r\nThe total number of bananas harvested $$= 355 \\\\times (10 + 2)$$<br>\r\nUsing the distributive property of multiplication over addition,<br>\r\n$$A (B + C) = AB + AC$$<br>\r\n$$355 \\\\times (10 + 2) = (355 \\\\times 10) + (355 \\\\times 2)$$<br>\r\n$$355 \\\\times (10 + 2) = 3550 + 710 = 4260$$<br>\r\nIn total, 4260 bananas were harvested at the farm.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-frequently-asked-questions-on-distributive-property\">Frequently Asked Questions on Distributive Property<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\" 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-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\"><strong>Does distributive property apply to division too?<\/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-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\">\n\n<p class=\"eplus-wrapper\">The distributive property applies to division in the same way that it applies to multiplication. However, the concept of &#8220;breaking apart&#8221; or &#8220;distributing&#8221; can be applied with division only by dividing the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/numerator\" target=\"_blank\" rel=\"noopener\" title=\"\">numerator<\/a> into smaller amounts that are exactly divisible by the divisor.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, to solve $\\frac{125}{5}$, we can divide the numerator(125) as: (50 + 50 + 25) <\/p>\n\n\n\n<p class=\"eplus-wrapper\">therefore:$\\frac{125}{5}$ =&nbsp;$\\frac{50}{5}$ + $\\frac{50}{5}$ + $\\frac{25}{5}$ = 10 + 10 + 5 = 25.<\/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-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\"><strong>What is the rule for the distributive property?<\/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-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\">\n\n<p class=\"eplus-wrapper\">According to the distributive property, multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.<\/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-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\"><strong>How can distributive property help in solving complex questions?<\/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-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\">\n\n<p class=\"eplus-wrapper\">The distributive property distributes complex expressions into simpler terms and thus makes problems, especially with multiple factors, easier to solve.<\/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-3-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\"><strong>Can parentheses be removed after distributing?<\/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-3-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\">\n\n<p class=\"eplus-wrapper\">Yes, when applying the distributive property, the outside factor is multiplied by each term inside the parentheses. This gets rid of parentheses.<\/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-4-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\"><strong>How do we use the distributive property with equations?<\/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-4-fe3e16e2-cc10-4148-a3cd-1aada0cb11ee\">\n\n<p>We can use the distributive property either to expand terms in a given expression or equation or to simplify it based on the requirement.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Is Distributive Property? According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. To \u201cdistribute\u201d means to divide something or give a share or part of something. So what &#8230; <a title=\"Distributive Property &#8211; Definition, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/distributive-property\" aria-label=\"More on Distributive Property &#8211; Definition, Examples, Facts, FAQs\">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-1046","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\/1046","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=1046"}],"version-history":[{"count":52,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1046\/revisions"}],"predecessor-version":[{"id":41473,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1046\/revisions\/41473"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1046"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1046"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1046"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}