{"id":973,"date":"2022-04-13T06:43:30","date_gmt":"2022-04-13T06:43:30","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=973"},"modified":"2023-02-07T14:09:00","modified_gmt":"2023-02-07T14:09:00","slug":"operation-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/operation","title":{"rendered":"Operations &#8211; Definition With Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-dcecc3af-2af5-4806-a5ef-4a19060da6b3\" 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\/addition\/operation#0-operation>Operation<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/operation#1-related-math-vocabulary>Related Math Vocabulary<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-operation\">Operation<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The mathematical \u201coperation\u201d refers to calculating a value using operands and a math operator. The symbol of the math operator has predefined rules to be applied to the given operands or numbers.<\/p>\n\n\n\n<figure class=\"wp-block-image eplus-wrapper\"><img decoding=\"async\" src=\"https:\/\/djq5eqy4vbh27.cloudfront.net\/panel-uploads\/GlossaryTerm\/3407728c66464526b6d654d9a2b206d6\/1566468477_1.png\" alt=\"operation\"\/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Image: The symbols of basic math operations (id=646579018)<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">A mathematical expression is a set of numbers and operations. The elements of a math expression performing a math operation are:<\/p>\n\n\n\n<figure class=\"wp-block-image eplus-wrapper\"><img decoding=\"async\" src=\"https:\/\/djq5eqy4vbh27.cloudfront.net\/panel-uploads\/GlossaryTerm\/3407728c66464526b6d654d9a2b206d6\/1566468477_2.png\" alt=\"Image\"\/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Operands \u2013 The numbers used for an operation are called operands. Based on the type of operation, different terms are assigned to the operands.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Operator \u2013 The symbol indicating a math operation is an operator, for example:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">+ for addition<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\u2212 for subtraction<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\u00d7 for multiplication<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\u00f7 for division<\/li>\n\n\n\n<li class=\" eplus-wrapper\">&nbsp;= for equal to, indicates the equivalence, that is the left hand side value is equal to the right hand side value.&nbsp;&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">The table below shows the basic math operations along with the terms assigned to operands and the resultant value.<\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><img decoding=\"async\" style=\"width: 10000px;\" src=\"https:\/\/djq5eqy4vbh27.cloudfront.net\/panel-uploads\/GlossaryTerm\/3407728c66464526b6d654d9a2b206d6\/1566470830_5.png\" alt=\"image\"><\/td><td><img decoding=\"async\" style=\"width: 10000px;\" src=\"https:\/\/djq5eqy4vbh27.cloudfront.net\/panel-uploads\/GlossaryTerm\/3407728c66464526b6d654d9a2b206d6\/1566475363_6-0.png\" alt=\"Image\"><\/td><\/tr><tr><td><img decoding=\"async\" style=\"width: 10000px;\" src=\"https:\/\/djq5eqy4vbh27.cloudfront.net\/panel-uploads\/GlossaryTerm\/3407728c66464526b6d654d9a2b206d6\/1566474177_7.png\" alt=\"Image\"><\/td><td><img decoding=\"async\" style=\"width: 10000px;\" src=\"https:\/\/djq5eqy4vbh27.cloudfront.net\/panel-uploads\/GlossaryTerm\/3407728c66464526b6d654d9a2b206d6\/1566474177_8.png\" alt=\"Image\"><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">To understand the utility of math operations listed above, let us consider another example.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Sarah has two baskets full of fruits. The first basket has 5 apples and the second basket has 6 bananas. She mixes them in a big basket. How many fruits are there in the big basket?<\/p>\n\n\n\n<figure class=\"wp-block-image eplus-wrapper\"><img decoding=\"async\" src=\"https:\/\/djq5eqy4vbh27.cloudfront.net\/panel-uploads\/GlossaryTerm\/3407728c66464526b6d654d9a2b206d6\/1566468477_3.png\" alt=\"Image\"\/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Image: Fruit baskets with apples and bananas (id = 386628463, 1205236333, 397222102)<\/strong><\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">First basket = 5 apples<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Second basket = 6 bananas<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Total fruits in the big basket = 5 apples and 6 bananas<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Thus, the math expression with operands 5 and 6 and operator \u201c+\u201d will be:<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Total fruits = 5 + 6 = 11<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Total fruits = 11<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\">The basic operations (addition and subtraction) are used in different forms such as multiplication (repeated addition) and division (repeated subtraction).&nbsp; Using these operations, the word problems are modeled into math expressions.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><strong>Fun Facts<\/strong><br>&#8211; The historic term for math operations is \u201chesab\u201d from the Arabian scriptures first calculating device performing basic math operations was the \u201cAbacus\u201d<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-numbers-using-column-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_num_2_pt.png\" alt=\"Add Numbers Using Column Addition Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Numbers Using Column Addition Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/addition-by-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_1d_vertical_pt.png\" alt=\"Addition By Regrouping 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\">Addition By Regrouping 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\/addition-sentences-up-to-10\" 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_cmplt_sent_w10_pt.png\" alt=\"Addition Sentences (Up to 10) 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\">Addition Sentences (Up to 10) 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\/addition-symbol\" 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_add_sym_w5_pt.png\" alt=\"Addition Symbol 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\">Addition Symbol 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\/addition-word-problems-on-finding-the-total\" 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_add_to_scenario_pt.png\" alt=\"Addition Word Problems on Finding the Total 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\">Addition Word Problems on Finding the Total 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\/addition-word-problems-on-put-together-scenarios\" 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_put_together_scenario_pt.png\" alt=\"Addition Word Problems on Put-Together Scenarios 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\">Addition Word Problems on Put-Together Scenarios 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\/break-up-an-addition-sentences\" 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_break_up_add_sentence_1_pt.png\" alt=\"Break up an Addition Sentences 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\">Break up an Addition Sentences 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\/choose-the-correct-addition-sentence-related-to-the-fraction\" 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\/fractions_related_add_sentence_pt.png\" alt=\"Choose the Correct Addition Sentence Related to the Fraction 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\">Choose the Correct Addition Sentence Related to the Fraction 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\/complete-addition-sentences-by-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_2d_missing_pt.png\" alt=\"Complete Addition Sentences by Regrouping 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\">Complete Addition Sentences by Regrouping 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\/complete-addition-sentences-using-place-value\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_1d_pvc_pt.png\" alt=\"Complete Addition Sentences Using Place Value 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\">Complete Addition Sentences Using Place Value 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 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id=\"1-related-math-vocabulary\">Related Math Vocabulary<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Math operations<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Operators<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Math expression<\/li>\n<\/ul>\n<\/div>\n<\/div>\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\/1-and-2-more-within-10-horizontal-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\/1-and-2-more-within-10-horizontal-addition.jpeg\" alt=\"1 and 2 more within 10: Horizontal 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/1-and-2-more-within-10-vertical-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\/1-and-2-more-within-10-vertical-addition.jpeg\" alt=\"1 and 2 more within 10: Vertical 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/1-and-2-more-within-20-horizontal-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\/1-and-2-more-within-20-horizontal-addition.jpeg\" alt=\"1 and 2 more within 20: Horizontal 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/1-and-2-more-within-20-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" 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The symbol of the math operator has predefined rules to be applied to the given operands or numbers. Image: The symbols of basic math operations (id=646579018) A mathematical expression is a set of numbers and operations. 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