{"id":906,"date":"2022-04-12T09:07:26","date_gmt":"2022-04-12T09:07:26","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=906"},"modified":"2023-08-13T12:03:59","modified_gmt":"2023-08-13T12:03:59","slug":"additive-identity-property-of-0-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/additive-identity-property-of-0","title":{"rendered":"Additive Identity Property &#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-658da93d-3188-4f8d-ad70-4335699d0d76\" 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\/additive-identity-property-of-0#0-additive-identity-property-of-zero-definition>Additive Identity Property of Zero Definition<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/additive-identity-property-of-0#2-general-form-of-additive-identity>General form of additive identity<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/additive-identity-property-of-0#4-solved-examples-on-additive-identity-property>Solved Examples on Additive Identity Property<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/additive-identity-property-of-0#5-practice-problems-on-additive-identity-property>Practice Problems on Additive Identity Property<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/additive-identity-property-of-0#6-frequently-asked-questions-on-additive-identity-property>Frequently Asked Questions on Additive Identity Property<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-additive-identity-property-of-zero-definition\">Additive Identity Property of Zero Definition<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Additive identity property of zero states that adding 0 to any number results in the number itself.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">An additive identity is a number that when added to any other number gives the sum as the number itself. Can you guess which numbers can be called additive identities?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s find out by adding various numbers to 5:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5 + 3 = 8$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5 + 2 = 8$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5 + 1 = 6$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5 + 0 = 5$ (Oh! we got 5 as the sum.)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, let&#8217;s see: If we add 0 to any other number, do we get the same number?<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$6 + 0 = 6$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$10 + 0 = 10$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Clearly, if we add 0 to any number, we would always get the same number as the sum. So, zero is the additive identity.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, let\u2019s see if we can find any number other than 0 that is an additive identity. Let\u2019s do this through an example.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Additive identity property of zero example:<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong><em>A flock of 8 birds sat on the branch of a tree. After some time, the number of birds on the branch is the same, that is, 8.&nbsp;<\/em><\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong><em>Can you think of all possible numbers of birds that might have joined the flock?<\/em><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"539\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Additive-identity-property-of-zero_1.png\" alt=\"Example of additive identity\" class=\"wp-image-13005\" title=\"Example of additive identity\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Additive-identity-property-of-zero_1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Additive-identity-property-of-zero_1-300x261.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Since the number of birds remained the same, we can assume that no bird joined the flock. Clearly, the number representation for \u201cno bird\u201d would be 0.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>So, we can say that 0 <\/strong><strong>is the only number that, when added to another number, gives the same number as the sum.&nbsp;<\/strong><\/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\/10-and-100-more-than-the-same-number\" 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_1_10_100_more_same_num_pt.png\" alt=\"10 and 100 More than the Same Number 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\">10 and 100 More than the Same Number 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\/add-10-to-a-3-digit-number\" 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_10_number_pt.png\" alt=\"Add 10 to a 3-Digit Number 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 10 to a 3-Digit Number 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\/add-100-to-a-3-digit-number\" 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_100_horizontal_pt.png\" alt=\"Add 100 to a 3-Digit Number 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 100 to a 3-Digit Number 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\/add-by-making-a-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_add_by_making_10_pt.png\" alt=\"Add by Making a 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\">Add by Making a 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\/add-multiples-of-10-to-a-2-digit-number\" 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\/place_value_oolzoos_and_bat_18_gm.png\" alt=\"Add Multiples of 10 to a 2-Digit Number 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 Multiples of 10 to a 2-Digit Number 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\/add-multiples-of-10-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_column_add_1_pt.png\" alt=\"Add Multiples of 10 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\">Add Multiples of 10 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-multiples-of-10-using-visuals\" 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_base_10_blocks_1_pt.png\" alt=\"Add Multiples of 10 using Visuals 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 Multiples of 10 using Visuals 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\/add-multiples-of-100\" 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_multiples_100_vertical_pt.png\" alt=\"Add Multiples of 100 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 Multiples of 100 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\/add-multiples-of-100-in-unit-form\" 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_multiples_100_pt.png\" alt=\"Add Multiples of 100 in Unit Form 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 Multiples of 100 in Unit Form 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\/add-multiples-of-100-using-base-10-blocks\" 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_multiples_100_model_pt.png\" alt=\"Add Multiples of 100 Using Base-10 Blocks 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 Multiples of 100 Using Base-10 Blocks 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=\"1-additive-identity-holds-true-for-which-number-sets-\">Additive Identity Holds True for Which Number Sets?&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">This property can be applied to all types of numbers, like <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers\" title=\"\">whole numbers<\/a>, real numbers, complex numbers, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/integers\" title=\"\">integers<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/rational-numbers\" title=\"\">rational numbers<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\" title=\"\">fractions<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/decimals\/decimal\" title=\"\">decimals<\/a>, integers and so on. However, additive identity cannot be associated with the set of natural numbers because 0 does not belong to the set of natural numbers. Natural numbers start from 1. Let\u2019s verify this property for some numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Additive Identity Property of 0 for Fractions<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Additive identity property of 0 for fractions states that if we add a fraction to zero, it will give the same fraction as a result. Let\u2019s model the fraction $\\frac{3}{4}$ and add 0 to it. Note that we can write 0 as $\\frac{0}{4}$ in the fraction form.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"479\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Additive-identity-property-of-zero_2.png\" alt=\"Additive identity in fractions\" class=\"wp-image-13006\" title=\"Additive identity in fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Additive-identity-property-of-zero_2.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Additive-identity-property-of-zero_2-300x231.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">It is clear that additive identity holds true for fractions.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Additive Identity for Decimals<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Additive identity for decimals states that if we add a decimal number to zero, it will give the decimal number itself as a result. Let\u2019s model the decimal 0.6 and add 0 to it. Note that we can write 0 as 0.0 in the decimal form.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"416\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Additive-identity-property-of-zero_3.png\" alt=\"Additive identity in decimals\" class=\"wp-image-13008\" title=\"Additive identity in decimals\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Additive-identity-property-of-zero_3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Additive-identity-property-of-zero_3-300x201.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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\/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\" 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-vertical-addition.jpeg\" alt=\"1 and 2 more within 20: 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 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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\/10-more-using-dice-patterns\" 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\/10-more-using-dice-patterns.jpeg\" alt=\"10 more Using Dice Patterns\">\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\/100-more-and-100-less-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" 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a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-general-form-of-additive-identity\">General form of additive identity<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Suppose <em>a<\/em> is any number other than a natural number, then we can express additive identity mathematically as:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong><em>a<\/em><\/strong><strong> + 0 = <\/strong><strong><em>a<\/em><\/strong><strong> = 0 + <\/strong><strong><em>a<\/em><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"396\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Additive-identity-property-of-zero_4.png\" alt=\"Additive Identity a + (0) = a\" class=\"wp-image-13009\" title=\"Additive Identity a + (0) = a\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Additive-identity-property-of-zero_4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Additive-identity-property-of-zero_4-300x192.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this article, we learned about additive identity. It is the number that, when added to another number, gives the same number. The number 0 has the additive identity property. To read more such informative articles on other concepts, do visit our website. We, at <a href=\"https:\/\/www.splashlearn.com\" title=\"\">SplashLearn<\/a>, are on a mission to make learning fun and interactive for all students.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-solved-examples-on-additive-identity-property\">Solved Examples on Additive Identity Property<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Fill in the blank.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\underline{} + 0 = \\frac{2}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: According to the additive identity property, <em>a<\/em> + 0 = 0 + <em>a<\/em> = <em>a<\/em>, where <em>a<\/em> is any number. Here <em>a<\/em> = $\\frac{2}{7}$, so the missing number is also $\\frac{2}{7}$<strong>.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Fill in the blank.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$( \u2013$ $2) + \\underline{} = ($ $\u2013$ $2)$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: According to the additive identity property, a + 0 = 0 + a = a, where a is any number.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, $( \u2013$ $2) + 0 = ($ $\u2013$ $2)$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the missing number is 0.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. <\/strong><strong>There is a basket of apples. How many more apples should we put into the basket so that the count of the apples remains the same?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: Since we need the number of apples to be the same, the number of apples we need to put in the basket will be 0.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. There is a jar of toffees. How many more toffees should we put into the jar so that the count of toffees remains the same?<\/strong><br><strong>Solution<\/strong>: Since we need the number of toffees to be the same, the number of toffees we need to put in the jar will be 0.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-practice-problems-on-additive-identity-property\">Practice Problems on Additive Identity Property<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Additive Identity Property - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following is the additive identity of 8?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$0$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$1$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$-$ $8$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$-$ $1$<\/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: $0$<br\/>$8 + 0 = 0 + 8 = 8$. So, 0 is the additive identity of 8. <\/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\">If a $+ 0 =$ $\u2013$ $12$, then find the value of a.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$-$ $\\frac{1}{12}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{1}{12}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$-$ $12$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$12$<\/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: $-$ $12$<br\/>$a + 0 = 0 + a = a$.<br>\r\n$\u2013$ $12 + 0 =$ $\u2013$ $12$. So, $a = $$\u2013$ $12$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following illustrates additive identity?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$15\\times$ $-$ $\\frac{1}{15} =$ $\u2013$ $1$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$15 + 0 = 15$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$15$ $\u2013$ $0 = 15$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$15 \\times \\frac{1}{15} = 1$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $15 + 0 = 15$<br\/>For any number other than natural numbers, $a + 0 = 0 + a = a$. So, $15 + 0 = 0 + 15 = 15$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Find the value of $n$, if $\\frac{2}{5}+0=n$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$-$$\\frac{2}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{2}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$0$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{2}{5}$<\/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: $\\frac{2}{5}$<br\/>$\\frac{2}{5}+0=n$<br>\r\nSince 0 is the additive identity,<br>\r\n$n=\\frac{2}{5}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">What number should be added to 7.6 to get 7.6?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$0$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$1$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$-$ $1$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$2$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $1$<br\/>Since 0 is the additive identity, $7.6 + 0 = 0 + 7.6 = 7.6$<\/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\": \"Additive Identity Property - Definition With Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Additive Identity Property\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is the additive identity of 8?\",\n                    \"text\": \"Which of the following is the additive identity of 8?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$8 + 0 = 0 + 8 = 8$$. 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So, $$15 + 0 = 0 + 15 = 15$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$15 \\\\times \\\\frac{1}{15} = 1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"For any number other than natural numbers, $$a + 0 = 0 + a = a$$. So, $$15 + 0 = 0 + 15 = 15$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$15 + 0 = 15$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"For any number other than natural numbers, $$a + 0 = 0 + a = a$$. So, $$15 + 0 = 0 + 15 = 15$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"For any number other than natural numbers, $$a + 0 = 0 + a = a$$. So, $$15 + 0 = 0 + 15 = 15$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the value of $$n$$, if $$\\\\frac{2}{5}+0=n$$.\",\n                    \"text\": \"Find the value of $$n$$, if $$\\\\frac{2}{5}+0=n$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\frac{2}{5}+0=n$$<br>\r\nSince 0 is the additive identity,<br>\r\n$$n=\\\\frac{2}{5}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-$$$$\\\\frac{2}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{2}{5}+0=n$$<br>\r\nSince 0 is the additive identity,<br>\r\n$$n=\\\\frac{2}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$0$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{2}{5}+0=n$$<br>\r\nSince 0 is the additive identity,<br>\r\n$$n=\\\\frac{2}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{2}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{2}{5}+0=n$$<br>\r\nSince 0 is the additive identity,<br>\r\n$$n=\\\\frac{2}{5}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{2}{5}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\frac{2}{5}+0=n$$<br>\r\nSince 0 is the additive identity,<br>\r\n$$n=\\\\frac{2}{5}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\frac{2}{5}+0=n$$<br>\r\nSince 0 is the additive identity,<br>\r\n$$n=\\\\frac{2}{5}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What number should be added to 7.6 to get 7.6?\",\n                    \"text\": \"What number should be added to 7.6 to get 7.6?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Since 0 is the additive identity, $$7.6 + 0 = 0 + 7.6 = 7.6$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$0$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since 0 is the additive identity, $$7.6 + 0 = 0 + 7.6 = 7.6$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-$$ $$1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since 0 is the additive identity, $$7.6 + 0 = 0 + 7.6 = 7.6$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since 0 is the additive identity, $$7.6 + 0 = 0 + 7.6 = 7.6$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$1$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Since 0 is the additive identity, $$7.6 + 0 = 0 + 7.6 = 7.6$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Since 0 is the additive identity, $$7.6 + 0 = 0 + 7.6 = 7.6$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-frequently-asked-questions-on-additive-identity-property\">Frequently Asked Questions on Additive Identity Property<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-f8bbf323-be4d-4272-a446-f29b0d03eeff\" 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-f8bbf323-be4d-4272-a446-f29b0d03eeff\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f8bbf323-be4d-4272-a446-f29b0d03eeff\"><strong>What is the difference between additive inverse and additive identity?<\/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-f8bbf323-be4d-4272-a446-f29b0d03eeff\">\n\n<p>An additive inverse is a number that when added to the given number gives 0 as the answer. For example: The additive inverse of 2 is $($ $\u2013$ $ 2)$ as $2 + ($ $\u2013$ $2) = 0$.<\/p>\n\n\n\n<p>On the other hand, an additive identity is a number that when added to any number, gives the sum as the number itself.<\/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-f8bbf323-be4d-4272-a446-f29b0d03eeff\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f8bbf323-be4d-4272-a446-f29b0d03eeff\"><strong>What is the difference between multiplicative identity and additive identity?<\/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-f8bbf323-be4d-4272-a446-f29b0d03eeff\">\n\n<p>An additive identity is a number that when added to any number, gives the sum as the number itself. The number 0 has the additive identity property.&nbsp;On the other hand, a multiplicative identity is a number that when multiplied to any number gives the product as the number itself. The number 1 has the multiplicative identity property.<\/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-f8bbf323-be4d-4272-a446-f29b0d03eeff\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f8bbf323-be4d-4272-a446-f29b0d03eeff\"><strong>What is the difference between the property of zero under addition and the property of zero under multiplication?<\/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-f8bbf323-be4d-4272-a446-f29b0d03eeff\">\n\n<p>Zero property of addition states that when we add 0 to a number, we get the number itself. For example: $2 + 0 = 2$<\/p>\n\n\n\n<p>Zero property of multiplication states that when we multiply a number with 0, we get 0 as the product. For example: $2 \\times 0 = 0$<\/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-f8bbf323-be4d-4272-a446-f29b0d03eeff\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f8bbf323-be4d-4272-a446-f29b0d03eeff\"><strong>Why is 0 not an identity of subtraction?<\/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-f8bbf323-be4d-4272-a446-f29b0d03eeff\">\n\n<p>The number 0 is not an identity of subtraction as a$-$ $0=$a but $0$ $-$ a \u2260&nbsp; a.<\/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-f8bbf323-be4d-4272-a446-f29b0d03eeff\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f8bbf323-be4d-4272-a446-f29b0d03eeff\"><strong>Define multiplicative inverse.<\/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-f8bbf323-be4d-4272-a446-f29b0d03eeff\">\n\n<p>The multiplicative inverse of a number is the number that when multiplied by the number gives 1. It is the reciprocal of the number. For example, the multiplicative inverse of 2 is $\\frac{1}{2}$.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Additive Identity Property of Zero Definition Additive identity property of zero states that adding 0 to any number results in the number itself.&nbsp; An additive identity is a number that when added to any other number gives the sum as the number itself. Can you guess which numbers can be called additive identities?&nbsp; Let\u2019s find &#8230; <a title=\"Additive Identity Property &#8211; Definition With Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/additive-identity-property-of-0\" aria-label=\"More on Additive Identity Property &#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-906","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\/906","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=906"}],"version-history":[{"count":32,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/906\/revisions"}],"predecessor-version":[{"id":32890,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/906\/revisions\/32890"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=906"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=906"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=906"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}