{"id":1033,"date":"2022-04-13T10:30:11","date_gmt":"2022-04-13T10:30:11","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1033"},"modified":"2024-01-01T15:26:59","modified_gmt":"2024-01-01T15:26:59","slug":"compensation-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/compensation","title":{"rendered":"Compensation in Math &#8211; Definition With Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 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-4b6a9ec3-34e4-4e4e-a993-c8a8f78448ce\" 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\/compensation#0-what-is-compensation-in-math>What Is Compensation in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/compensation#2-how-to-perform-the-compensation-strategy>How to Perform the Compensation Strategy?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/compensation#7-what-is-the-difference-between-compensation-and-transformation>What Is the Difference between Compensation and Transformation?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/compensation#9-solved-examples-on-compensation-in-math>Solved Examples&nbsp;on Compensation in Math<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/compensation#10-practice-problems-on-compensation-in-math>Practice Problems&nbsp;on Compensation in Math<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/compensation#11-frequently-asked-questions-on-compensation-in-math>Frequently Asked Questions on Compensation in Math<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 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-8f761849 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<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-compensation-in-math\">What Is Compensation in Math?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A compensation strategy helps to redefine and simplify an addition, subtraction, multiplication, or division problem. It also makes mental computation easier.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s consider an example. You have $\\$36$, of which you spent $\\$17$. How much money do you have left with you? You will need to subtract 17 from 36 to find out!<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We know that $17 + 3 = 20$. So, subtracting 20 from 36 and then adding the extra 3 is easier than trying to subtract 17 mentally. We wanted to subtract 17, but we subtracted 20. So, the number 3 needs to be added again to balance the operation.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can write this as:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$36 \\;-\\; 17 = (36 \\;-\\; 20) + 3 = 16 + 3 = 19$<\/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\/2024\/01\/example-of-addition-compensation.png\" alt=\"Example of addition compensation\" class=\"wp-image-37041\" title=\"Example of addition compensation\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/example-of-addition-compensation.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/example-of-addition-compensation-300x200.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2: Let\u2019s consider another example.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Say we have to find $25 + 16$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">First, we round off the second number (16) to the nearest multiple of 10, which is 20.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$25 + (16 + 4) = 25 + 20$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 45$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, we compensate by subtracting 4 from 45 to get the answer.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$45 \\;-\\; 4 = 41$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"1-compensation-in-math-definition-\">Compensation in Math Definition&nbsp;<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Compensation can be defined as a method of adding or taking away numbers to make the calculation simple. <\/strong>Compensation in math often helps to reach a friendly number (such as a multiple of 10).&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example: <\/strong>$6 + 9$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s add 20 instead of 9. Why? Simply because adding 10 is easier than adding 9!<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$6 + 10 = 16$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We added an extra 1. We have to compensate for that.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$16 \\;-\\; 1 = 15$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, $6 + 9 = 15$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If you add some extra value, you have to subtract the same value to compensate. Similarly, if you subtract more than required, you have to add to make up for that.<\/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\/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><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=\"wp-block-heading eplus-wrapper\" id=\"2-how-to-perform-the-compensation-strategy\">How to Perform the Compensation Strategy?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s understand different compensation strategies with examples.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"3-additive-compensation-method\">Additive Compensation Method<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">This is the compensation addition strategy that makes addition of complex numbers easier. Let\u2019s take a look at these examples.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1: <\/strong>$56 + 35$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1<\/strong>: Round off 56 to the nearest multiple of 10, which is 60.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$(56 + 4) + 35$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 60 + 35$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 95$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2<\/strong>: Compensate by subtracting the extra 4 from the sum to reach the answer.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$95 \\;-\\; 4 =&nbsp; 91$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2: <\/strong>$80 + 395$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1<\/strong>: Round off the second number (395) to the nearest multiple of 10.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$80 + (395 + 5)$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 80 + 400$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 480$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2<\/strong>: Compensate by subtracting the extra 5 from the sum to get the final answer.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$480 \\;-\\; 5 = 475$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"4-subtraction-by-equal-addition-method\">Subtraction by Equal Addition Method<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">This compensation strategy is helpful in solving subtraction problems. Here are some examples.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1: <\/strong>$67 &#8211; 59$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To simplify the subtraction, we add the same number to both numbers to make either one a multiple of 10.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$(67+1) \\;-\\; (59+1)$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 68 \\;-\\; 60$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 8$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2: <\/strong>$83 \\;-\\; 26$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Again, we add the same number to both sides to make one of them a multiple of 10.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$(83 + 4)&nbsp; <strong>&#8211;<\/strong> (26 + 4)$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 87&nbsp; \\;-\\; 30$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 47$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"5-multiplicative-compensation-method\">Multiplicative Compensation Method<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">This compensation strategy makes complex numbers easier to multiply. Let\u2019s look at these two compensation strategy examples to understand this better.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1: <\/strong>$76 \\times 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s multiply 76 by 10 and compensate by dividing the answer by 2.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$76 \\times 5 = 76 \\times \\frac{10}{2} = \\frac{760}{2} = 380$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2: <\/strong>$208 \\times 25$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s multiply 208 by 100 and compensate by dividing the answer by 4.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$208 \\times 25 = 208 \\times \\frac{100}{4} = \\frac{20800}{4} = 5200$<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"6-division-compensation-method\">Division Compensation Method<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">This compensation strategy makes complex numbers easier to multiply. We can understand it with the help of the following examples.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1: <\/strong>$96 \\div 24$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To simplify the division, we divide both numbers by the same number.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, $\\frac{96}{2} = 48$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{24}{2} = 12$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, $\\frac{96}{24} = \\frac{48}{12}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, for further division, we will need to know multiplication tables up to 12.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since $12 \\times 4 = 48$,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{48}{12} = 4$ &nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2: <\/strong>$245\\div 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Instead of dividing by 5, we can multiply by 2 and then compensate by dividing the result by 10.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{245}{5} = \\frac{245}{10} \\times 2 = \\frac{490}{10} = 49$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, $245 \\times 2 = 490$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, we divide 490 by 10 to get the final answer.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{490}{10} = 49$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-what-is-the-difference-between-compensation-and-transformation\">What Is the Difference between Compensation and Transformation?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In a few math textbooks, you will find the term transformation used instead of compensation.&nbsp;Although a difference does exist between both the terms.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In transformation, both numbers are adjusted or changed simultaneously. On the other hand, in compensation, one number is adjusted or changed, and in the next step, the other number undergoes adjustment.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s understand the difference better with the help of an example.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"498\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/compensation-vs-transformation.png\" alt=\"Compensation vs. transformation\" class=\"wp-image-37042\" title=\"Compensation vs. transformation\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/compensation-vs-transformation.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/compensation-vs-transformation-300x241.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The compensation strategy in math refers to adding a number to one and subtracting it from the other later on to ensure that the balance remains the same.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Compensation in math makes it easy to solve complex addition, subtraction, multiplication, and division problems.&nbsp;Knowing compensation is also important because it enhances your brain\u2019s ability to think creatively about solutions to problems.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-solved-examples-on-compensation-in-math\">Solved Examples&nbsp;on Compensation in Math<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1: Calculate <\/strong>$\\frac{260}{5}$<strong>.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong>&nbsp; <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Here, we can easily make the denominator 10.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We will multiply 5 by 2.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, to compensate, we will also multiply the numerator (which is 260) by 2.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$\\frac{260 \\times 2}{5 \\times 2} = \\frac{520}{10} = 52$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 2: Find <\/strong>$304 + 49$<strong>.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong> First, we round off 49 to make it a multiple of 10.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$304 + (49 + 1)$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 304 + 50$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 354$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, we compensate by subtracting 1 from the sum to reach the final answer as<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$354 \\;-\\; 1 = 353$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 3: Determine <\/strong>$365 \\;-\\; 177$<strong>.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong> We will subtract 180 from 365.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$365 \\;-\\; (177 + 3)$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 365 \\;-\\; 180$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 185$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Compensate by adding 3.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$365 \\;-\\; 177 = 185 + 3 = 188$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 4: Multiply 278 by 50.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong> Here, we divide 278 by 2 and compensate by multiplying 50 by 2 to make at least one number a multiple of 10.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$278 \\div 2 = 139&nbsp;\\;-\\;$ (i)<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$50 \\times 2 = 100&nbsp;\\;-\\;$ (ii)<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, we multiply both (i) and (ii) to get the final answer as<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$139 \\times 100 = 13,900$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 5: Divide 135 by 15.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Answer: Here, we divide both numbers by 3.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$135\\div 3 = 45$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$15 \\div3 = 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since $5 \\times 9 = 15$, upon dividing 45 by 5, we will get,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$45 \\div5 = 9$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-practice-problems-on-compensation-in-math\">Practice Problems&nbsp;on Compensation in Math<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Compensation in Math - 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\">Find $236 \\;-\\; 157$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">85<\/div><div class=\"spq_answer_block\" data-value=\"1\">79<\/div><div class=\"spq_answer_block\" data-value=\"2\">53<\/div><div class=\"spq_answer_block\" data-value=\"3\">68<\/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: 79<br\/>Here, $236 \\;-\\; 160 = 76$<br>\r\nAdd 3 to compensate.<br>\r\n$76 + 3 = 79$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Determine $168 \\times 5$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">730<\/div><div class=\"spq_answer_block\" data-value=\"1\">740<\/div><div class=\"spq_answer_block\" data-value=\"2\">830<\/div><div class=\"spq_answer_block\" data-value=\"3\">840<\/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: 840<br\/>Divide 168 by 2, and compensate by multiplying 5 by 2.<br>\r\n$168 \\div 2 = 84$<br>\r\n$5 \\times 2 = 10$<br>\r\nNow, $84 \\times 10 = 840$.<\/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\">Which number should be added to 984 to make it a multiple of 10?<\/h3><\/span><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\">6<\/div><div class=\"spq_answer_block\" data-value=\"3\">7<\/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: 6<br\/>On adding 6 to 984, we will get 990 (a multiple of 10).<\/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\">Calculate $655 + 283$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">938<\/div><div class=\"spq_answer_block\" data-value=\"1\">838<\/div><div class=\"spq_answer_block\" data-value=\"2\">1038<\/div><div class=\"spq_answer_block\" data-value=\"3\">848<\/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: 938<br\/>Round off 283 to the nearest multiple of 10. Then add it to 655. Compensate by adding 3 to the sum to reach the final answer.<br>\r\n$655 + (283 \\;-\\; 3) = 655 + 280 = 935$.<br>\r\nNow, $935 + 3 = 938$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Find the correct option.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$525 \\div 35 = 16$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$525 \\div 35 = 25$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$525 \\div 35 = 15$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$525 \\div 35 = 17$<\/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: $525 \\div 35 = 15$<br\/>Divide both numbers by 7.<br>\r\n$525 \\div 35 = 75 \\div 5 = 15$<\/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\": \"Compensation in Math - Definition With Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Compensation in Math\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find $$236 \\\\;-\\\\; 157$$.\",\n                    \"text\": \"Find $$236 \\\\;-\\\\; 157$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Here, $$236 \\\\;-\\\\; 160 = 76$$<br>\r\nAdd 3 to compensate.<br>\r\n$$76 + 3 = 79$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"85\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, $$236 \\\\;-\\\\; 160 = 76$$<br>\r\nAdd 3 to compensate.<br>\r\n$$76 + 3 = 79$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"53\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, $$236 \\\\;-\\\\; 160 = 76$$<br>\r\nAdd 3 to compensate.<br>\r\n$$76 + 3 = 79$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"68\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, $$236 \\\\;-\\\\; 160 = 76$$<br>\r\nAdd 3 to compensate.<br>\r\n$$76 + 3 = 79$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"79\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Here, $$236 \\\\;-\\\\; 160 = 76$$<br>\r\nAdd 3 to compensate.<br>\r\n$$76 + 3 = 79$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Here, $$236 \\\\;-\\\\; 160 = 76$$<br>\r\nAdd 3 to compensate.<br>\r\n$$76 + 3 = 79$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Determine $$168 \\\\times 5$$.\",\n                    \"text\": \"Determine $$168 \\\\times 5$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Divide 168 by 2, and compensate by multiplying 5 by 2.<br>\r\n$$168 \\\\div 2 = 84$$<br>\r\n$$5 \\\\times 2 = 10$$<br>\r\nNow, $$84 \\\\times 10 = 840$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"730\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Divide 168 by 2, and compensate by multiplying 5 by 2.<br>\r\n$$168 \\\\div 2 = 84$$<br>\r\n$$5 \\\\times 2 = 10$$<br>\r\nNow, $$84 \\\\times 10 = 840$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"740\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Divide 168 by 2, and compensate by multiplying 5 by 2.<br>\r\n$$168 \\\\div 2 = 84$$<br>\r\n$$5 \\\\times 2 = 10$$<br>\r\nNow, $$84 \\\\times 10 = 840$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"830\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Divide 168 by 2, and compensate by multiplying 5 by 2.<br>\r\n$$168 \\\\div 2 = 84$$<br>\r\n$$5 \\\\times 2 = 10$$<br>\r\nNow, $$84 \\\\times 10 = 840$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"840\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Divide 168 by 2, and compensate by multiplying 5 by 2.<br>\r\n$$168 \\\\div 2 = 84$$<br>\r\n$$5 \\\\times 2 = 10$$<br>\r\nNow, $$84 \\\\times 10 = 840$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Divide 168 by 2, and compensate by multiplying 5 by 2.<br>\r\n$$168 \\\\div 2 = 84$$<br>\r\n$$5 \\\\times 2 = 10$$<br>\r\nNow, $$84 \\\\times 10 = 840$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which number should be added to 984 to make it a multiple of 10?\",\n                    \"text\": \"Which number should be added to 984 to make it a multiple of 10?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"On adding 6 to 984, we will get 990 (a multiple of 10).\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On adding 6 to 984, we will get 990 (a multiple of 10).\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On adding 6 to 984, we will get 990 (a multiple of 10).\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On adding 6 to 984, we will get 990 (a multiple of 10).\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"6\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"On adding 6 to 984, we will get 990 (a multiple of 10).\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"On adding 6 to 984, we will get 990 (a multiple of 10).\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Calculate $$655 + 283$$.\",\n                    \"text\": \"Calculate $$655 + 283$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Round off 283 to the nearest multiple of 10. Then add it to 655. Compensate by adding 3 to the sum to reach the final answer.<br>\r\n$$655 + (283 \\\\;-\\\\; 3) = 655 + 280 = 935$$.<br>\r\nNow, $$935 + 3 = 938$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"838\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Round off 283 to the nearest multiple of 10. Then add it to 655. Compensate by adding 3 to the sum to reach the final answer.<br>\r\n$$655 + (283 \\\\;-\\\\; 3) = 655 + 280 = 935$$.<br>\r\nNow, $$935 + 3 = 938$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1038\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Round off 283 to the nearest multiple of 10. Then add it to 655. Compensate by adding 3 to the sum to reach the final answer.<br>\r\n$$655 + (283 \\\\;-\\\\; 3) = 655 + 280 = 935$$.<br>\r\nNow, $$935 + 3 = 938$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"848\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Round off 283 to the nearest multiple of 10. Then add it to 655. Compensate by adding 3 to the sum to reach the final answer.<br>\r\n$$655 + (283 \\\\;-\\\\; 3) = 655 + 280 = 935$$.<br>\r\nNow, $$935 + 3 = 938$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"938\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Round off 283 to the nearest multiple of 10. Then add it to 655. Compensate by adding 3 to the sum to reach the final answer.<br>\r\n$$655 + (283 \\\\;-\\\\; 3) = 655 + 280 = 935$$.<br>\r\nNow, $$935 + 3 = 938$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Round off 283 to the nearest multiple of 10. Then add it to 655. Compensate by adding 3 to the sum to reach the final answer.<br>\r\n$$655 + (283 \\\\;-\\\\; 3) = 655 + 280 = 935$$.<br>\r\nNow, $$935 + 3 = 938$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the correct option.\",\n                    \"text\": \"Find the correct option.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Divide both numbers by 7.<br>\r\n$$525 \\\\div 35 = 75 \\\\div 5 = 15$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$525 \\\\div 35 = 16$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Divide both numbers by 7.<br>\r\n$$525 \\\\div 35 = 75 \\\\div 5 = 15$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$525 \\\\div 35 = 25$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Divide both numbers by 7.<br>\r\n$$525 \\\\div 35 = 75 \\\\div 5 = 15$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$525 \\\\div 35 = 17$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Divide both numbers by 7.<br>\r\n$$525 \\\\div 35 = 75 \\\\div 5 = 15$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$525 \\\\div 35 = 15$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Divide both numbers by 7.<br>\r\n$$525 \\\\div 35 = 75 \\\\div 5 = 15$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Divide both numbers by 7.<br>\r\n$$525 \\\\div 35 = 75 \\\\div 5 = 15$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-frequently-asked-questions-on-compensation-in-math\">Frequently Asked Questions on Compensation in Math<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-53ed43e6-0570-4c54-829c-98179ee73684\" 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-0-53ed43e6-0570-4c54-829c-98179ee73684\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-53ed43e6-0570-4c54-829c-98179ee73684\"><strong>What is the purpose of rounding off numbers to the nearest multiple of 10 in compensation?<\/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-0-53ed43e6-0570-4c54-829c-98179ee73684\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Rounding off numbers to the nearest multiples of 10 makes the problem-solving process easier and smoother than rounding off numbers to the multiples of numbers like 7, 8, or 9.<\/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-1-53ed43e6-0570-4c54-829c-98179ee73684\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-53ed43e6-0570-4c54-829c-98179ee73684\"><strong>Is compensation used in real life, or is the concept restricted to math?<\/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-1-53ed43e6-0570-4c54-829c-98179ee73684\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In real life, the concept of compensation is helpful whenever money is exchanged for goods and services. It helps in carrying out such day-to-day transactions.<\/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-2-53ed43e6-0570-4c54-829c-98179ee73684\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-53ed43e6-0570-4c54-829c-98179ee73684\"><strong>Can compensation be used to perform basic arithmetic operations in the case of<\/strong> <strong>decimals?<\/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-2-53ed43e6-0570-4c54-829c-98179ee73684\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Yes, compensation can also be used with decimals.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s understand this with the help of an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$33.6 + 10.2 =$ ?<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">First, we round off 33.6 and 10.2 to a whole number.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$(33.6 + 0.4) + (10.2 &#8211; 0.2)$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 34 + 10$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$= 44$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, we compensate by subtracting 0.4 and adding 0.2 to the sum to get the final answer.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$44 \\;-\\; 0.4 + 0.2 = 43.8$<\/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 Compensation in Math? A compensation strategy helps to redefine and simplify an addition, subtraction, multiplication, or division problem. It also makes mental computation easier.&nbsp; Let\u2019s consider an example. You have $\\$36$, of which you spent $\\$17$. How much money do you have left with you? You will need to subtract 17 from 36 &#8230; <a title=\"Compensation in Math &#8211; Definition With Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/compensation\" aria-label=\"More on Compensation in Math &#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-1033","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\/1033","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=1033"}],"version-history":[{"count":17,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1033\/revisions"}],"predecessor-version":[{"id":37044,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1033\/revisions\/37044"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1033"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1033"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1033"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}