{"id":2249,"date":"2022-04-27T08:14:31","date_gmt":"2022-04-27T08:14:31","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2249"},"modified":"2024-01-23T12:21:40","modified_gmt":"2024-01-23T12:21:40","slug":"fact-family-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/fact-family","title":{"rendered":"Fact Family &#8211; Definition Examples, Facts, FAQs, Practice Problems"},"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-afcd7ce4-9457-4c78-9f8d-f4d132cf6c08\" 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\/number-sense\/fact-family#0-what-is-a-fact-family>What Is a Fact Family?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/fact-family#1-fact-family-definition>Fact Family Definition<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/fact-family#2-fact-family-triangle>Fact Family Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/fact-family#7-solved-examples-on-fact-family>Solved Examples on Fact Family<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/fact-family#8-practice-problems-on-fact-family>Practice Problems on Fact Family<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/fact-family#9-frequently-asked-questions-on-fact-family>Frequently Asked Questions on Fact Family<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-fact-family\">What Is a Fact Family?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A fact family in math is a group of math facts created using three numbers.<\/strong> Numbers also have relationships, just like members of a family. These relations between numbers are well described using fact families.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/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-1-digit-numbers\" 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_make_10_pt.png\" alt=\"Add 1-Digit Numbers 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 1-Digit Numbers 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-2-digit-and-1-digit-numbers\" 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_2d_1d_match_pt.png\" alt=\"Add 2-Digit and 1-Digit Numbers 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 2-Digit and 1-Digit Numbers 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-2-digit-numbers-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_vertical_pt.png\" alt=\"Add 2-Digit Numbers 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\">Add 2-Digit Numbers 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\/add-3-numbers\" 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_3_no_pt.png\" alt=\"Add 3 Numbers 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 3 Numbers 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-3-numbers-in-any-order\" 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_shifty_bridges_4_gm.png\" alt=\"Add 3 Numbers in Any Order 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 3 Numbers in Any Order 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-3-numbers-using-groups-of-objects\" 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_using_model_pt.png\" alt=\"Add 3 Numbers Using Groups of Objects 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 3 Numbers Using Groups of Objects 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-3-numbers-using-model\" 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_3_no_using_models_pt.png\" alt=\"Add 3 Numbers using Model 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 3 Numbers using Model 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-fact-family-definition\">Fact Family Definition<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A fact family can be defined as a collection of math facts that express the relation between the same set of numbers. It is also known as a \u201cnumber family\u201d and generally uses three numbers.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">It helps to understand basic arithmetic operations (<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/addition\" target=\"_blank\" rel=\"noopener\" title=\"\">addition<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract\" target=\"_blank\" rel=\"noopener\" title=\"\">subtraction<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication\" target=\"_blank\" rel=\"noopener\" title=\"\">multiplication<\/a>, and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division\" target=\"_blank\" rel=\"noopener\" title=\"\">division<\/a>) and solve their problems.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/10-and-100-more-than-a-3-digit-number\" 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-and-100-more-than-a-3-digit-number.jpeg\" alt=\"10 and 100 More than 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 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\" 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\/100-more-and-100-less-than-a-3-digit-number.jpeg\" alt=\"100 More and 100 Less than 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/100-more-than-a-3-digit-number\" 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\/100-more-than-a-3-digit-number.jpeg\" alt=\"100 More than 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers.jpeg\" alt=\"Add & Subtract Ones & 2-Digit Numbers 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\/add-1-digit-and-3-digit-numbers-and-find-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Find the Sum\">\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\/add-1-digit-and-3-digit-numbers-and-match-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-match-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Match the Sum\">\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\/add-1-digit-and-3-digit-numbers-using-addition-tables\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-tables.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Tables\">\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\/add-1-digit-and-3-digit-numbers-using-addition-wheel\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-wheel.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Wheel\">\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\/add-1-digit-and-3-digit-numbers-using-number-charts\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-number-charts.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Number Charts\">\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\/add-1-digit-and-3-digit-numbers-using-place-value\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-place-value.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Place Value\">\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-fact-family-triangle\">Fact Family Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Fact families<\/strong> are usually represented in the form of a triangle, as shown in the below image. The three numbers forming the <strong>fact family<\/strong> are written in the three corners (near the vertices) of the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">triangle<\/a>.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The operation\u2019s sign connecting the three numbers is usually written in the middle. For the addition <strong>fact family<\/strong>, the sum of the numbers is usually written at the top vertex, and the numbers being added are written at the vertices at the bottom.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Take a look at the fact family triangle with fact family numbers 2, 5, 7.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"366\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/fact-family-triangle-.png\" alt=\"Fact family triangle\" class=\"wp-image-37670\" title=\"Fact family triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/fact-family-triangle-.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/fact-family-triangle--300x177.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Fact families<\/strong> can be used for solving basic arithmetic equations involving addition, subtraction, multiplication, and division. Let\u2019s look into two types of fact family<strong> <\/strong>examples.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-addition-and-subtraction-fact-family\">Addition and Subtraction Fact Family<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In an <strong>addition and subtraction fact family<\/strong>, the three numbers will have two addition and two subtraction relationships.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, for instance, a <strong>fact family<\/strong> has been created using the numbers 12, 8, and 4, where 12 is the total number of crayons, out of which 8 are yellow and 4 are red.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The four relationships here are as follows.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$4 + 8 = 12$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$8 + 4 = 12$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$12$ $\u2013$ $8 = 4$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$12$ $\u2013$ $4 = 8$<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"506\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/addition-and-subtraction-fact-family-triangle.png\" alt=\"Addition and subtraction fact family triangle\" class=\"wp-image-37671\" title=\"Addition and subtraction fact family triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/addition-and-subtraction-fact-family-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/addition-and-subtraction-fact-family-triangle-300x245.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s take another example with the numbers 9, 4, and 5. Here, 4 and 5 are parts, while 9 is the whole. &nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"609\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/addition-and-subtraction-fact-family-equations.png\" alt=\"Addition and subtraction fact family equations\" class=\"wp-image-37672\" title=\"Addition and subtraction fact family equations\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/addition-and-subtraction-fact-family-equations.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/addition-and-subtraction-fact-family-equations-300x295.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-multiplication-and-division-fact-family\">Multiplication and Division Fact Family<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In a <strong>multiplication and division fact family<\/strong>, the three numbers will have two multiplication and two division relationships.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For instance, let\u2019s consider an art class where 8 students sit at 4 tables in groups of 2. Four relations formed using the numbers 2, 4, 8 are are:&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$4 \\times 2 = 8$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$2 \\times 4 = 8$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$8 \\div 4 = 2$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$8 \\div 2 = 4$<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"509\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/example-of-multiplication-and-division-fact-family.png\" alt=\"Example of multiplication and division fact family\" class=\"wp-image-37673\" title=\"Example of multiplication and division fact family\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/example-of-multiplication-and-division-fact-family.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/example-of-multiplication-and-division-fact-family-300x246.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s take another example. Here, 4 and 3 are parts, while 12 is the whole.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"517\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/multiplication-and-division-fact-family-equations.png\" alt=\"Multiplication and division fact family equations\" class=\"wp-image-37674\" title=\"Multiplication and division fact family equations\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/multiplication-and-division-fact-family-equations.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/multiplication-and-division-fact-family-equations-300x250.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-fun-fact\">Fun Fact!<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>One exciting thing about fact families is that they represent the inverse relationship between operations.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Get ready to rap!!<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"30\" height=\"30\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/music_logo.png\" alt=\"Music Symbol\" class=\"wp-image-13462\" title=\"Music Symbol\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><em>Three numbers\u2014it\u2019s a family bond!<\/em><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>Just multiply or divide to respond.<\/em><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>Or whether you add or subtract,<\/em><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>In the end, you get a family of facts!<\/em><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A<strong> fact family<\/strong> is a fundamental concept that lets the brain think of various arithmetic operations and combinations of numbers. This will help in developing problem-solving skills and enhance analytical thinking capabilities.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-solved-examples-on-fact-family\">Solved Examples on Fact Family<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Form two addition and subtraction equations for the fact family diagram given below.<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"328\" height=\"328\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/fact-family-triangle.png\" alt=\"Fact family triangle\" class=\"wp-image-37675\" title=\"Fact family triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/fact-family-triangle.png 328w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/fact-family-triangle-300x300.png 300w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/fact-family-triangle-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/fact-family-triangle-250x250.png 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/fact-family-triangle-120x120.png 120w\" sizes=\"auto, (max-width: 328px) 100vw, 328px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: The three numbers 10, 2, and 8 form an <strong>addition and subtraction fact family<\/strong>. The equations for addition are as follows:<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Addition equations<\/strong><\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$8 + 2 = 10$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$2 + 8 = 10$<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">The equations for subtraction are as follows:<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Subtraction equations<\/strong><\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$10$ $\u2013$ $2 = 8$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$10$ $\u2013$ $8 = 2$<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Form multiplication and division equations for the fact family triangle given below.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"319\" height=\"336\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/forming-fact-family-equations.png\" alt=\"Forming fact family equations\" class=\"wp-image-37676\" title=\"Forming fact family equations\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/forming-fact-family-equations.png 319w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/forming-fact-family-equations-285x300.png 285w\" sizes=\"auto, (max-width: 319px) 100vw, 319px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Multiplication equations<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$6 \\times 12 = 72$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$12 \\times 6 = 72$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Division equations<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$72 \\div 6 = 12$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$72 \\div 12 = 6$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. Form a fact family triangle with numbers 4, 5, and 20. Write the equations.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"323\" height=\"336\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/forming-a-fact-family-triangle.png\" alt=\"Forming a fact family triangle\" class=\"wp-image-37677\" title=\"Forming a fact family triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/forming-a-fact-family-triangle.png 323w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/forming-a-fact-family-triangle-288x300.png 288w\" sizes=\"auto, (max-width: 323px) 100vw, 323px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Multiplication equations<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$4 \\times 5 = 20$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5 \\times 4 = 20$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Division equations<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$20 \\div 4 = 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$20 \\div 5 = 4$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. Complete the fact family triangle and equations for the three numbers: 3, 6 and 9.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"468\" height=\"300\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/completing-an-addition-fact-family-triangle-and-equations.png\" alt=\"Completing an addition fact family triangle and equations\" class=\"wp-image-37678\" title=\"Completing an addition fact family triangle and equations\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/completing-an-addition-fact-family-triangle-and-equations.png 468w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/completing-an-addition-fact-family-triangle-and-equations-300x192.png 300w\" sizes=\"auto, (max-width: 468px) 100vw, 468px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The equations are as follows:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$3 + 6 = 9$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$6 + 3 = 9$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$9$ $\u2013$ $3 = 6$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$9$ $\u2013$ $6 = 3$<\/li>\n<\/ul>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-practice-problems-on-fact-family\">Practice Problems on Fact Family<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Fact Family<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What\u2019s the missing relation?<br>$2 + 8 = 10$<br>$8 + 2 = 10$<br>$10 \u2013 2 = 8$<br> ?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$10$ $\u2013$ $5 = 5$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$8$ $\u2013$ $2 = 10$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$10$ $\u2013$ $8 = 2$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$8$ $\u2013$ $10 =$ $\u2013$ $2$<\/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: $10$ $\u2013$ $8 = 2$<br\/>This is an <strong>addition and subtraction fact family<\/strong>, where two addition sentences are given in the problem statement with one subtraction sentence. The missing subtraction sentence that matches the <strong>fact family<\/strong> of three numbers 2, 8, and 10 is $10$ $\u2013$ $8$, equal to 2.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which math operation does NOT belong in the family of math facts you can create from the numbers 8, 5, and 13?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$8 + 5$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$8 \\times 5$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$13$ $\u2013$ $5$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$13$ $\u2013$ $8$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $8 \\times 5$<br\/>8, 5, and 13 form an <strong>addition and subtraction fact family<\/strong>, where the possible operations are as follows.<br>\r\n$8 + 5 = 13$<br>\r\n$5 + 8 = 13$<br>\r\n$13$ $\u2013$ $5 = 8$<br>\r\n$13$ $\u2013$ $8 = 5$<br>\r\nThe odd one is option b, i.e., $8 \\times 5 = 40$, which does not belong to the <strong>fact family<\/strong>.<\/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\">Find the missing number in the multiplication and division fact family: 2, 20, ?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">5<\/div><div class=\"spq_answer_block\" data-value=\"1\">10<\/div><div class=\"spq_answer_block\" data-value=\"2\">15<\/div><div class=\"spq_answer_block\" data-value=\"3\">20<\/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: 10<br\/>2, <strong>10<\/strong>, and 20 form a <strong>multiplication and division fact family<\/strong> where the two possible division operations are $20 \\div 10  = 2$ and $20 \\div 2 = 10$.<\/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\": \"Fact Family\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Fact Family\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What\u2019s the missing relation?<br>$$2 + 8 = 10$$<br>$$8 + 2 = 10$$<br>$$10 \u2013 2 = 8$$<br> ?\",\n                    \"text\": \"What\u2019s the missing relation?<br>$$2 + 8 = 10$$<br>$$8 + 2 = 10$$<br>$$10 \u2013 2 = 8$$<br> ?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"This is an <strong>addition and subtraction fact family<\/strong>, where two addition sentences are given in the problem statement with one subtraction sentence. The missing subtraction sentence that matches the <strong>fact family<\/strong> of three numbers 2, 8, and 10 is $$10$$ $$\u2013$$ $$8$$, equal to 2.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$10$$ $$\u2013$$ $$5 = 5$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"This is an <strong>addition and subtraction fact family<\/strong>, where two addition sentences are given in the problem statement with one subtraction sentence. The missing subtraction sentence that matches the <strong>fact family<\/strong> of three numbers 2, 8, and 10 is $$10$$ $$\u2013$$ $$8$$, equal to 2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$8$$ $$\u2013$$ $$2 = 10$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"This is an <strong>addition and subtraction fact family<\/strong>, where two addition sentences are given in the problem statement with one subtraction sentence. The missing subtraction sentence that matches the <strong>fact family<\/strong> of three numbers 2, 8, and 10 is $$10$$ $$\u2013$$ $$8$$, equal to 2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$8$$ $$\u2013$$ $$10 =$$ $$\u2013$$ $$2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"This is an <strong>addition and subtraction fact family<\/strong>, where two addition sentences are given in the problem statement with one subtraction sentence. The missing subtraction sentence that matches the <strong>fact family<\/strong> of three numbers 2, 8, and 10 is $$10$$ $$\u2013$$ $$8$$, equal to 2.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$10$$ $$\u2013$$ $$8 = 2$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"This is an <strong>addition and subtraction fact family<\/strong>, where two addition sentences are given in the problem statement with one subtraction sentence. The missing subtraction sentence that matches the <strong>fact family<\/strong> of three numbers 2, 8, and 10 is $$10$$ $$\u2013$$ $$8$$, equal to 2.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"This is an <strong>addition and subtraction fact family<\/strong>, where two addition sentences are given in the problem statement with one subtraction sentence. The missing subtraction sentence that matches the <strong>fact family<\/strong> of three numbers 2, 8, and 10 is $$10$$ $$\u2013$$ $$8$$, equal to 2.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which math operation does NOT belong in the family of math facts you can create from the numbers 8, 5, and 13?\",\n                    \"text\": \"Which math operation does NOT belong in the family of math facts you can create from the numbers 8, 5, and 13?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"8, 5, and 13 form an <strong>addition and subtraction fact family<\/strong>, where the possible operations are as follows.<br>\r\n$$8 + 5 = 13$$<br>\r\n$$5 + 8 = 13$$<br>\r\n$$13$$ $$\u2013$$ $$5 = 8$$<br>\r\n$$13$$ $$\u2013$$ $$8 = 5$$<br>\r\nThe odd one is option b, i.e., $$8 \\\\times 5 = 40$$, which does not belong to the <strong>fact family<\/strong>.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$8 + 5$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"8, 5, and 13 form an <strong>addition and subtraction fact family<\/strong>, where the possible operations are as follows.<br>\r\n$$8 + 5 = 13$$<br>\r\n$$5 + 8 = 13$$<br>\r\n$$13$$ $$\u2013$$ $$5 = 8$$<br>\r\n$$13$$ $$\u2013$$ $$8 = 5$$<br>\r\nThe odd one is option b, i.e., $$8 \\\\times 5 = 40$$, which does not belong to the <strong>fact family<\/strong>.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$13$$ $$\u2013$$ $$5$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"8, 5, and 13 form an <strong>addition and subtraction fact family<\/strong>, where the possible operations are as follows.<br>\r\n$$8 + 5 = 13$$<br>\r\n$$5 + 8 = 13$$<br>\r\n$$13$$ $$\u2013$$ $$5 = 8$$<br>\r\n$$13$$ $$\u2013$$ $$8 = 5$$<br>\r\nThe odd one is option b, i.e., $$8 \\\\times 5 = 40$$, which does not belong to the <strong>fact family<\/strong>.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$13$$ $$\u2013$$ $$8$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"8, 5, and 13 form an <strong>addition and subtraction fact family<\/strong>, where the possible operations are as follows.<br>\r\n$$8 + 5 = 13$$<br>\r\n$$5 + 8 = 13$$<br>\r\n$$13$$ $$\u2013$$ $$5 = 8$$<br>\r\n$$13$$ $$\u2013$$ $$8 = 5$$<br>\r\nThe odd one is option b, i.e., $$8 \\\\times 5 = 40$$, which does not belong to the <strong>fact family<\/strong>.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$8 \\\\times 5$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"8, 5, and 13 form an <strong>addition and subtraction fact family<\/strong>, where the possible operations are as follows.<br>\r\n$$8 + 5 = 13$$<br>\r\n$$5 + 8 = 13$$<br>\r\n$$13$$ $$\u2013$$ $$5 = 8$$<br>\r\n$$13$$ $$\u2013$$ $$8 = 5$$<br>\r\nThe odd one is option b, i.e., $$8 \\\\times 5 = 40$$, which does not belong to the <strong>fact family<\/strong>.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"8, 5, and 13 form an <strong>addition and subtraction fact family<\/strong>, where the possible operations are as follows.<br>\r\n$$8 + 5 = 13$$<br>\r\n$$5 + 8 = 13$$<br>\r\n$$13$$ $$\u2013$$ $$5 = 8$$<br>\r\n$$13$$ $$\u2013$$ $$8 = 5$$<br>\r\nThe odd one is option b, i.e., $$8 \\\\times 5 = 40$$, which does not belong to the <strong>fact family<\/strong>.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the missing number in the multiplication and division fact family: 2, 20, ?\",\n                    \"text\": \"Find the missing number in the multiplication and division fact family: 2, 20, ?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"2, <strong>10<\/strong>, and 20 form a <strong>multiplication and division fact family<\/strong> where the two possible division operations are $$20 \\\\div 10  = 2$$ and $$20 \\\\div 2 = 10$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"2, <strong>10<\/strong>, and 20 form a <strong>multiplication and division fact family<\/strong> where the two possible division operations are $$20 \\\\div 10  = 2$$ and $$20 \\\\div 2 = 10$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"2, <strong>10<\/strong>, and 20 form a <strong>multiplication and division fact family<\/strong> where the two possible division operations are $$20 \\\\div 10  = 2$$ and $$20 \\\\div 2 = 10$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"2, <strong>10<\/strong>, and 20 form a <strong>multiplication and division fact family<\/strong> where the two possible division operations are $$20 \\\\div 10  = 2$$ and $$20 \\\\div 2 = 10$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"10\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"2, <strong>10<\/strong>, and 20 form a <strong>multiplication and division fact family<\/strong> where the two possible division operations are $$20 \\\\div 10  = 2$$ and $$20 \\\\div 2 = 10$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"2, <strong>10<\/strong>, and 20 form a <strong>multiplication and division fact family<\/strong> where the two possible division operations are $$20 \\\\div 10  = 2$$ and $$20 \\\\div 2 = 10$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-frequently-asked-questions-on-fact-family\">Frequently Asked Questions on Fact Family<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-8e4e111c-95db-40a9-92f1-b242e1d23db3\" 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-0-8e4e111c-95db-40a9-92f1-b242e1d23db3\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8e4e111c-95db-40a9-92f1-b242e1d23db3\"><strong>How can we efficiently teach fact family to children?<\/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-0-8e4e111c-95db-40a9-92f1-b242e1d23db3\">\n\n<p class=\"eplus-wrapper\">Instead of handing out math worksheets, play a game with your children using fun things like jelly beans. Give jelly beans in a set of three numbers, say 2, 3, and 5. Ask them to create an addition and subtraction fact family using the jelly beans. Repeat for multiplication and division fact family.<\/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-1-8e4e111c-95db-40a9-92f1-b242e1d23db3\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8e4e111c-95db-40a9-92f1-b242e1d23db3\"><strong>How are fact families and arrays related?<\/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-1-8e4e111c-95db-40a9-92f1-b242e1d23db3\">\n\n<p class=\"eplus-wrapper\">Arrays are visual representations of a fact family in the form of symmetry. For example, in a fact family of 4, 3, and 12, twelve students are made to stand in 3 rows and 4 columns, forming a $3 \\times 4$ array.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Fact Family? A fact family in math is a group of math facts created using three numbers. Numbers also have relationships, just like members of a family. These relations between numbers are well described using fact families.&nbsp; Recommended Games 10 and 100 More than the Same Number Game Play Add 1-Digit Numbers &#8230; <a title=\"Fact Family &#8211; Definition Examples, Facts, FAQs, Practice Problems\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/fact-family\" aria-label=\"More on Fact Family &#8211; Definition Examples, Facts, FAQs, Practice Problems\">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-2249","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\/2249","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=2249"}],"version-history":[{"count":19,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2249\/revisions"}],"predecessor-version":[{"id":37679,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2249\/revisions\/37679"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2249"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2249"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}