{"id":32220,"date":"2023-07-22T14:23:00","date_gmt":"2023-07-22T14:23:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=32220"},"modified":"2023-07-24T02:51:08","modified_gmt":"2023-07-24T02:51:08","slug":"square-numbers-definition-list-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/square-numbers","title":{"rendered":"Square Numbers: Definition, List, Examples"},"content":{"rendered":"<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-aa5abf3e-a461-4e44-9dee-82a5033e0cf4\" 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\/square-numbers#0-what-is-a-square-number-in-math>What Is a Square Number in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/square-numbers#3-list-of-square-numbers-1-to-100>List of Square Numbers (1 to 100)<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/square-numbers#8-square-numbers-on-multiplication-chart>Square Numbers on Multiplication Chart<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/square-numbers#11-solved-examples-on-square-numbers->Solved Examples on Square Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/square-numbers#12-practice-problems-on-square-numbers>Practice Problems on Square Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/square-numbers#13-frequently-asked-questions-on-square-numbers>Frequently Asked Questions on Square Numbers<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-a-square-number-in-math\">What Is a Square Number in Math?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A square number is a number obtained when an integer is multiplied by itself. It is also referred to as &#8220;a <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/perfect-squares\"><strong>perfect square<\/strong><\/a><strong>.&#8221;&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We know that the product of a positive integer with a positive integer is always positive. Also, the product of a negative integer and a negative integer is always positive.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$(+) \\times (+) = (+)$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$(-) \\times (-) = (+)$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, the square numbers obtained by multiplying an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/integers\">integer<\/a> with itself are always positive.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Examples of square numbers<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$5 \\times 5 = 25$<\/li>\n\n\n\n<li>$(-8) \\times (-8) = 64$<\/li>\n<\/ul>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-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-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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-digit-and-1-digit-numbers-and-match\" 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_3d_1d_match_g3_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers and Match 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-Digit and 1-Digit Numbers and Match 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-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_3d_1d_vertical_pt.png\" alt=\"Add 3-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 3-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-3-digit-and-1-digit-numbers-with-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_3d_1d_vertical_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers with 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 3-Digit and 1-Digit Numbers with 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><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\" id=\"1-square-number-definition\">Square Number: Definition<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A square number can be defined as the positive integer obtained by multiplying an integer with itself.<\/strong><\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-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\/add-1-digit-numbers-and-teen-numbers-horizontal-addition.jpeg\" alt=\"Add 1-Digit Numbers and Teen Numbers: 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\/add-1-digit-numbers-and-teen-numbers-missing-digits\" 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-numbers-and-teen-numbers-missing-digits.jpeg\" alt=\"Add 1-Digit Numbers and Teen Numbers: Missing Digits 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-numbers-and-teen-numbers-missing-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-1-digit-numbers-and-teen-numbers-missing-numbers.jpeg\" alt=\"Add 1-Digit Numbers and Teen Numbers: Missing 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><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\" id=\"2-properties-of-square-numbers\">Properties of Square Numbers<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Square numbers always have the digits 0, 1, 4, 5, 6, or 9 as their last digits.&nbsp;<\/li>\n\n\n\n<li>A number ending with 2, 3, 7, or 8 cannot be a square number.<\/li>\n\n\n\n<li>A <strong>square number<\/strong> always has an even number of zeros at the end. Therefore, a number is not a square if it has an odd number of zeros as the last digits. For example, the numbers 900 and 4900 are square numbers while 20, 360, and 480 are not squares.<\/li>\n\n\n\n<li>The <strong>square <\/strong>of a number ends with 1 when the last digit of an integer is either 1 or 9.&nbsp;<\/li>\n\n\n\n<li>The <strong>square number<\/strong> of an integer ends with 6 if its last digit is either 4 or 6.&nbsp;<\/li>\n\n\n\n<li>The <strong>square number <\/strong>of an even integer is always an even integer, while the square of an odd number is always an odd number.&nbsp;<\/li>\n\n\n\n<li>Square numbers are always positive.&nbsp;<\/li>\n\n\n\n<li>If a number\u2019s square root is a fraction or a decimal number, it is not a perfect square number. For instance, $\\sqrt{0.25} = 0.5$, hence 0.25 is not a <strong>square number<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-list-of-square-numbers-1-to-100\">List of Square Numbers (1 to 100)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Here is a list of all of the square numbers from 1 to 100.<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th>Number<\/th><th><strong>Square<\/strong><\/th><th>Number<strong>&nbsp;<\/strong><\/th><th><strong>Square<\/strong><\/th><th>Number<\/th><th><strong>Square<\/strong><\/th><th>Number<strong>&nbsp;<\/strong><\/th><th><strong>Square<\/strong><\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td><strong>1<\/strong><\/td><td>26<\/td><td><strong>676<\/strong><\/td><td>51<\/td><td><strong>2601<\/strong><\/td><td>76<\/td><td><strong>5776<\/strong><\/td><\/tr><tr><td>2<\/td><td><strong>4<\/strong><\/td><td>27<\/td><td><strong>729<\/strong><\/td><td>52<\/td><td><strong>2704<\/strong><\/td><td>77<\/td><td><strong>5929<\/strong><\/td><\/tr><tr><td>3<\/td><td><strong>9<\/strong><\/td><td>28<\/td><td><strong>784<\/strong><\/td><td>53<\/td><td><strong>2809<\/strong><\/td><td>78<\/td><td><strong>6084<\/strong><\/td><\/tr><tr><td>4<\/td><td><strong>16<\/strong><\/td><td>29<\/td><td><strong>841<\/strong><\/td><td>54<\/td><td><strong>2916<\/strong><\/td><td>79<\/td><td><strong>6241<\/strong><\/td><\/tr><tr><td>5<\/td><td><strong>25<\/strong><\/td><td>30<\/td><td><strong>300<\/strong><\/td><td>55<\/td><td><strong>3025<\/strong><\/td><td>80<\/td><td><strong>6400<\/strong><\/td><\/tr><tr><td>6<\/td><td><strong>36<\/strong><\/td><td>31<\/td><td><strong>961<\/strong><\/td><td>56<\/td><td><strong>3136<\/strong><\/td><td>81<\/td><td><strong>6561<\/strong><\/td><\/tr><tr><td>7<\/td><td><strong>49<\/strong><\/td><td>32<\/td><td><strong>1024<\/strong><\/td><td>57<\/td><td><strong>3249<\/strong><\/td><td>82<\/td><td><strong>6724<\/strong><\/td><\/tr><tr><td>8<\/td><td><strong>64<\/strong><\/td><td>33<\/td><td><strong>1089<\/strong><\/td><td>58<\/td><td><strong>3364<\/strong><\/td><td>83<\/td><td><strong>6889<\/strong><\/td><\/tr><tr><td>9<\/td><td><strong>81<\/strong><\/td><td>34<\/td><td><strong>1156<\/strong><\/td><td>59<\/td><td><strong>3481<\/strong><\/td><td>84<\/td><td><strong>7056<\/strong><\/td><\/tr><tr><td>10<\/td><td><strong>100<\/strong><\/td><td>35<\/td><td><strong>1225<\/strong><\/td><td>60<\/td><td><strong>3600<\/strong><\/td><td>85<\/td><td><strong>7225<\/strong><\/td><\/tr><tr><td>11<\/td><td><strong>121<\/strong><\/td><td>36<\/td><td><strong>1296<\/strong><\/td><td>61<\/td><td><strong>3721<\/strong><\/td><td>86<\/td><td><strong>7396<\/strong><\/td><\/tr><tr><td>12<\/td><td><strong>144<\/strong><\/td><td>37<\/td><td><strong>1369<\/strong><\/td><td>62<\/td><td><strong>3844<\/strong><\/td><td>87<\/td><td><strong>7569<\/strong><\/td><\/tr><tr><td>13<\/td><td><strong>169<\/strong><\/td><td>38<\/td><td><strong>1444<\/strong><\/td><td>63<\/td><td><strong>3969<\/strong><\/td><td>88<\/td><td><strong>7744<\/strong><\/td><\/tr><tr><td>14<\/td><td><strong>196<\/strong><\/td><td>39<\/td><td><strong>1521<\/strong><\/td><td>64<\/td><td><strong>4096<\/strong><\/td><td>89<\/td><td><strong>7921<\/strong><\/td><\/tr><tr><td>15<\/td><td><strong>225<\/strong><\/td><td>40<\/td><td><strong>1600<\/strong><\/td><td>65<\/td><td><strong>4225<\/strong><\/td><td>90<\/td><td><strong>8100<\/strong><\/td><\/tr><tr><td>16<\/td><td><strong>256<\/strong><\/td><td>41<\/td><td><strong>1681<\/strong><\/td><td>66<\/td><td><strong>4356<\/strong><\/td><td>91<\/td><td><strong>8281<\/strong><\/td><\/tr><tr><td>17<\/td><td><strong>289<\/strong><\/td><td>42<\/td><td><strong>1764<\/strong><\/td><td>67<\/td><td><strong>4489<\/strong><\/td><td>92<\/td><td><strong>8464<\/strong><\/td><\/tr><tr><td>18<\/td><td><strong>324<\/strong><\/td><td>43<\/td><td><strong>1849<\/strong><\/td><td>68<\/td><td><strong>4624<\/strong><\/td><td>93<\/td><td><strong>8649<\/strong><\/td><\/tr><tr><td>19<\/td><td><strong>361<\/strong><\/td><td>44<\/td><td><strong>1936<\/strong><\/td><td>69<\/td><td><strong>4761<\/strong><\/td><td>94<\/td><td><strong>8836<\/strong><\/td><\/tr><tr><td>20<\/td><td><strong>400<\/strong><\/td><td>45<\/td><td><strong>2025<\/strong><\/td><td>70<\/td><td><strong>4900<\/strong><\/td><td>95<\/td><td><strong>9025<\/strong><\/td><\/tr><tr><td>21<\/td><td><strong>441<\/strong><\/td><td>46<\/td><td><strong>2116<\/strong><\/td><td>71<\/td><td><strong>5041<\/strong><\/td><td>96<\/td><td><strong>9216<\/strong><\/td><\/tr><tr><td>22<\/td><td><strong>484<\/strong><\/td><td>47<\/td><td><strong>2209<\/strong><\/td><td>72<\/td><td><strong>5184<\/strong><\/td><td>97<\/td><td><strong>9409<\/strong><\/td><\/tr><tr><td>23<\/td><td><strong>529<\/strong><\/td><td>48<\/td><td><strong>2304<\/strong><\/td><td>73<\/td><td><strong>5329<\/strong><\/td><td>98<\/td><td><strong>9604<\/strong><\/td><\/tr><tr><td>24<\/td><td><strong>576<\/strong><\/td><td>49<\/td><td><strong>2401<\/strong><\/td><td>74<\/td><td><strong>5476<\/strong><\/td><td>99<\/td><td><strong>9801<\/strong><\/td><\/tr><tr><td>25<\/td><td><strong>625<\/strong><\/td><td>50<\/td><td><strong>2500<\/strong><\/td><td>75<\/td><td><strong>5625<\/strong><\/td><td>100<\/td><td><strong>10000<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-two-digit-square-numbers\">Two-digit Square Numbers<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">There are only six \u201ctwo-digit square numbers.\u201d&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$4 \\times 4 = 16$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$5 \\times 5 = 25$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$6 \\times 6 = 36$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$7 \\times 7 = 49$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$8 \\times 8 = 64$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$9  \\times 9 = 81$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-three-digit-square-numbers\">Three-digit Square Numbers<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">There are only 22 three-digit square numbers.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400,&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">441, 484, 529, 576, 625, 676, 729, 784, 841, 900, 961.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-odd-and-even-square-numbers\">Odd and Even Square Numbers<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The meaning of a square number is simple; when we multiply a number by itself we get a <strong>square number<\/strong>. These square numbers can be divided into two types:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Even square numbers: <\/strong>The square of any <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/even-number\">even number<\/a> is always an even square number. For example, $2^{2} = 4,\\; 6^{2} = 36$<\/li>\n\n\n\n<li><strong>Odd square numbers: <\/strong>The square of any <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/odd-number\">odd number<\/a> is always an odd square number. For example, $3^{2} = 9,\\; 7^{2} = 49$<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-square-numbers-and-multiplication-arrays\">Square Numbers and Multiplication Arrays<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The name \u201csquare\u201d comes from the fact that all square numbers can be represented using a square-shaped array. They fill a square.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The following figure has the number of balls arranged in a square. We can see that the number of balls that fill a square is a square number.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If we take 4 balls, we can see that they can be arranged in an array to form a square shape. Same goes for the square numbers 9, 36, etc.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"353\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/square-numbers-forming-a-square-array.png\" alt=\"Square numbers forming a square array\" class=\"wp-image-32226\" title=\"Square numbers forming a square array\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/square-numbers-forming-a-square-array.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/square-numbers-forming-a-square-array-300x171.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-square-numbers-on-multiplication-chart\">Square Numbers on Multiplication Chart<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Notice that the square numbers appear diagonally in a multiplication chart.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"549\" height=\"494\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/square-numbers.png\" alt=\"Square numbers on a multiplication chart\" class=\"wp-image-32228\" title=\"Square numbers on a multiplication chart\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/square-numbers.png 549w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/square-numbers-300x270.png 300w\" sizes=\"auto, (max-width: 549px) 100vw, 549px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-facts-about-square-numbers\">Facts about Square Numbers<\/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-4fc3f8e1 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The square of any number \u201cn\u201d is equivalent to the sum of the first \u201cn\u201d odd natural numbers. For example, $4^{2} = 16 = 1 + 3 + 5 + 7$<\/li>\n\n\n\n<li>If an integer ends with 5, there\u2019s a trick you can use to find its square. If the given integer is of the form $\\left[n\\right]5$, then the square will be $\\left[n&nbsp;\\times(n + 1)\\right]\\left[25\\right]$.<\/li>\n\n\n\n<li>Difference of squares formula $=&nbsp;a^{2} \\;-\\; b^{2} = (a + b)(a \\;-\\; b)$<br>Example: $45 = \\left[4 \\times 5\\right]\\left[25\\right] = 2025$<\/li>\n\n\n\n<li>The sum of squares of the first&nbsp;$n$ natural numbers $\\left(1,\\; 2,\\; 3,&#8230;, n\\right)$ is given by<br>$\\sum_{i = 1}^{n}i = \\frac{n (n + 1) (2n + 1)}{6}$<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">In this article, we learned about <strong>square numbers<\/strong>, their properties along with the list of squares from 1 to 100. Let\u2019s solve a few examples and practice problems.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-solved-examples-on-square-numbers-\"><strong>Solved Examples on Square Numbers<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. Find the square of 89.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To find the square of the number 89, we need to multiply 89 by 89.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$89^{2} = 89 \\times 89$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$89 \\times 89 = 7921$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"240\" height=\"201\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/finding-square-of-89-by-long-multiplication.png\" alt=\"Finding square of 89 by long multiplication\" class=\"wp-image-32229\" title=\"Finding square of 89 by long multiplication\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. Find the square of -25.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The square of $-\\;25$ would be the product of $-\\;25$.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$(\\;-\\;25)^{2} = (\\;-\\;25) \\times (\\;-\\;25)$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$(\\;-\\;25)^{2} = 625$&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. Is 113 a square number?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">All square numbers end with 0, 1, 4, 5, 6, or 9.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If a number ends with 2, 3, 7, or 8, then it is not a square number.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-practice-problems-on-square-numbers\">Practice Problems on Square Numbers<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Square Numbers: Definition, List, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following is a square number?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">125<\/div><div class=\"spq_answer_block\" data-value=\"1\">3600<\/div><div class=\"spq_answer_block\" data-value=\"2\">51<\/div><div class=\"spq_answer_block\" data-value=\"3\">500<\/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: 3600<br\/>3600 is the square of the number 60.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the square of -24?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">-576<\/div><div class=\"spq_answer_block\" data-value=\"1\">416<\/div><div class=\"spq_answer_block\" data-value=\"2\">96<\/div><div class=\"spq_answer_block\" data-value=\"3\">576<\/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: 576<br\/>The square of any negative number is always positive.<br>\r\n$(\\;-\\;24)^{2} = 576$<\/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\">$(65)^{2} =$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3500<\/div><div class=\"spq_answer_block\" data-value=\"1\">4225<\/div><div class=\"spq_answer_block\" data-value=\"2\">3000<\/div><div class=\"spq_answer_block\" data-value=\"3\">-3000<\/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: 4225<br\/>$65^{2} = 4225$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">If $m^{2} = n$, then $(\\;-\\;m)^{2} =$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\;-\\;n$<\/div><div class=\"spq_answer_block\" data-value=\"1\">m<\/div><div class=\"spq_answer_block\" data-value=\"2\">n<\/div><div class=\"spq_answer_block\" data-value=\"3\">0<\/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: n<br\/>If $m^{2} = n$, then $(\\;-\\;m)^{2} = n$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        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\"text\": \"3600 is the square of the number 60.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"125\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"3600 is the square of the number 60.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"51\",\n                                \"comment\": {\n                                    \"@type\": 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                        \"text\": \"3600 is the square of the number 60.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"3600 is the square of the number 60.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the square of -24?\",\n                    \"text\": \"What is the square of -24?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The square of any negative number is always positive.<br>\r\n$$(\\\\;-\\\\;24)^{2} = 576$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"-576\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The square of any negative number is always positive.<br>\r\n$$(\\\\;-\\\\;24)^{2} = 576$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"416\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The square of any negative number is always positive.<br>\r\n$$(\\\\;-\\\\;24)^{2} = 576$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"96\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The square of any negative number is always positive.<br>\r\n$$(\\\\;-\\\\;24)^{2} = 576$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"576\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The square of any negative number is always positive.<br>\r\n$$(\\\\;-\\\\;24)^{2} = 576$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The square of any negative number is always positive.<br>\r\n$$(\\\\;-\\\\;24)^{2} = 576$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$(65)^{2} =$$\",\n                    \"text\": \"$$(65)^{2} =$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$65^{2} = 4225$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    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                       \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"-3000\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$65^{2} = 4225$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"4225\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$65^{2} = 4225$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                       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                           \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If $$m^{2} = n$$, then $$(\\\\;-\\\\;m)^{2} = n$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"m\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If $$m^{2} = n$$, then $$(\\\\;-\\\\;m)^{2} = n$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If $$m^{2} = n$$, then $$(\\\\;-\\\\;m)^{2} = n$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"n\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"If $$m^{2} = n$$, then $$(\\\\;-\\\\;m)^{2} = n$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"If $$m^{2} = n$$, then $$(\\\\;-\\\\;m)^{2} = n$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"13-frequently-asked-questions-on-square-numbers\">Frequently Asked Questions on Square Numbers<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-c46c54cd-d3ac-4fa6-977b-eda93ac2aa38\" 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-c46c54cd-d3ac-4fa6-977b-eda93ac2aa38\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c46c54cd-d3ac-4fa6-977b-eda93ac2aa38\"><strong>What are the first five square numbers?<\/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-c46c54cd-d3ac-4fa6-977b-eda93ac2aa38\">\n\n<p class=\"wp-block-paragraph\">The first five square numbers are 1, 4, 9, 16, and 25.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-c46c54cd-d3ac-4fa6-977b-eda93ac2aa38\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c46c54cd-d3ac-4fa6-977b-eda93ac2aa38\"><strong>What is a principal square root?<\/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-c46c54cd-d3ac-4fa6-977b-eda93ac2aa38\">\n\n<p class=\"wp-block-paragraph\">Every number except 0 has two square roots, positive and negative. The positive square root is called the principal square root.<\/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-c46c54cd-d3ac-4fa6-977b-eda93ac2aa38\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c46c54cd-d3ac-4fa6-977b-eda93ac2aa38\"><strong>What is the square of 0?<\/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-c46c54cd-d3ac-4fa6-977b-eda93ac2aa38\">\n\n<p class=\"wp-block-paragraph\">The square of 0 is 0.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Square Number in Math? A square number is a number obtained when an integer is multiplied by itself. It is also referred to as &#8220;a perfect square.&#8221;&nbsp; We know that the product of a positive integer with a positive integer is always positive. Also, the product of a negative integer and a &#8230; <a title=\"Square Numbers: Definition, List, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/square-numbers\" aria-label=\"More on Square Numbers: Definition, List, 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-32220","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\/32220","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=32220"}],"version-history":[{"count":11,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32220\/revisions"}],"predecessor-version":[{"id":32240,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32220\/revisions\/32240"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=32220"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=32220"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=32220"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}