{"id":26714,"date":"2023-03-23T07:28:18","date_gmt":"2023-03-23T07:28:18","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=26714"},"modified":"2024-02-05T16:13:43","modified_gmt":"2024-02-05T16:13:43","slug":"comparing-and-ordering-numbers-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-and-ordering","title":{"rendered":"Comparing and Ordering Numbers: Definition with 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-4625c961-e1a9-4bed-ae7e-3dd4b91ecfb5\" 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\/comparing-and-ordering#0-what-are-comparing-and-ordering-numbers>What are Comparing and Ordering Numbers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-and-ordering#4-what-is-ordering-numbers>What Is Ordering Numbers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-and-ordering#5-comparing-and-ordering-real-numbers-using-a-number-line>Comparing and Ordering Real Numbers Using a Number Line<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-and-ordering#15-solved-examples-on-comparing-and-ordering>Solved Examples On Comparing and Ordering<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-and-ordering#16-practice-problems-on-comparing-and-ordering>Practice Problems On Comparing and Ordering<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-and-ordering#17-frequently-asked-questions-on-comparing-and-ordering>Frequently Asked Questions On Comparing and Ordering<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-are-comparing-and-ordering-numbers\">What are Comparing and Ordering Numbers?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Have you ever compared your height and your friend\u2019s height to decide who is taller? Or has the teacher ever asked your class to stand in increasing order of height?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">This type of situation can be answered by comparing and ordering numbers. <strong>\u201cComparing\u201d<\/strong> in math is the process in which we observe similar properties of different persons or objects or things. Ordering a list of numbers means stating the numbers from the least to the greatest or from the greatest to the least. Before we learn how to compare and order numbers, let us first introduce the meaning of comparing numbers.<\/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\/comparing-decimals-using-number-line\" 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\/decimals_compare_dec_nl_pt.png\" alt=\"Comparing Decimals Using Number Line 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\">Comparing Decimals Using Number Line 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\/comparing-numbers-in-real-life\" 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\/count_comp_ordering_real_world_pt.png\" alt=\"Comparing Numbers in Real Life 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\">Comparing Numbers in Real Life 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\/comparing-with-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\/count_comp_treehouse_party_14_15_gm.png\" alt=\"Comparing with 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\">Comparing with 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><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-comparing-numbers-meaning\">Comparing Numbers Meaning<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Comparing in math refers to viewing something in relation to another. So, what is comparing numbers? Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to its values.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>The definition of comparison in math is all about identifying a quantity greater, smaller, or equal in relation with the given number.<\/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\/comparing-3-digit-numbers-and-identifying-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\/comparing-3-digit-numbers-and-identifying-missing-numbers.jpeg\" alt=\"Comparing 3-Digit Numbers and Identifying Missing Numbers\">\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\/comparing-addends-with-benchmark-fractions\" 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\/comparing-addends-with-benchmark-fractions.jpeg\" alt=\"Comparing Addends with Benchmark Fractions 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\/comparing-and-finding-the-greatest-number-within-100\" 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\/comparing-and-finding-the-greatest-number-within-100.jpeg\" alt=\"Comparing and Finding the Greatest Number within 100\">\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\/comparing-bills\" 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\/comparing-bills.jpeg\" alt=\"Comparing Bills\">\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\/comparing-capacities\" 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\/comparing-capacities.jpeg\" alt=\"Comparing Capacities 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\/comparing-coins\" 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\/comparing-coins.jpeg\" alt=\"Comparing Coins\">\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\/comparing-coins-and-bills\" 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\/comparing-coins-and-bills.jpeg\" alt=\"Comparing Coins and Bills\">\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\/comparing-decimals-on-a-number-line\" 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\/comparing-decimals-on-a-number-line.jpeg\" alt=\"Comparing Decimals on a Number Line 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\/comparing-decimals-up-to-hundredths\" 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\/comparing-decimals-up-to-hundredths.jpeg\" alt=\"Comparing Decimals Up to Hundredths 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\/comparing-decimals-using-benchmark\" 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\/comparing-decimals-using-benchmark.jpeg\" alt=\"Comparing Decimals Using Benchmark 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 eplus-wrapper\" id=\"2-symbols-for-comparing-numbers\">Symbols for Comparing Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The symbols used for comparing numbers are $\\gt,\\; \\lt,$ or $=$.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$\u201c\\gt\u201d$ means \u201cgreater than\u201d<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$\u201c\\lt\u201d$ means \u201cless than\u201d<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$\u201c=\u201d$ means \u201cequal to\u201d<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"326\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/symbols-for-comparing-numbers.png\" alt=\"Symbols for comparing numbers\" class=\"wp-image-33805\" title=\"Symbols for comparing numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/symbols-for-comparing-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/symbols-for-comparing-numbers-300x158.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We also use the following symbols for comparing two quantities.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong><\/strong>means \u201cless than or equal to\u201d<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">means \u201cgreater than or equal to\u201d<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example:<\/strong> Let\u2019s understand this visually using vertical bars composed of blocks. Each small block is of the same size. We can compare the numbers by comparing the heights of the bars.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">On comparing two numbers, we can find out by how much a number is greater or smaller.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"470\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-numbers-example.png\" alt=\"Comparing numbers example\" class=\"wp-image-33806\" title=\"Comparing numbers example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-numbers-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-numbers-example-300x227.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">In the first example, $7 \\gt 3$ since the green bar is taller than the pink bar.<br>We can also say that 7 is more or greater than 3 by $7 \\;\u2212\\; 3 = 4$.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">In the second part, $3 \\lt 6$ since the red bar is shorter than the yellow bar.&nbsp;<br>We can also say that 3 is less or smaller than 6 by $6 \\;\u2212\\; 3 = 3$.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-steps-for-comparing-numbers\">Steps for Comparing Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1: <\/strong>Compare the number of digits. The number with the more digits, is greater. Note that 0 placed at the beginning of a number is insignificant.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: $358 \\lt 9104$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2:<\/strong> If the number of digits are the same, we start by comparing the highest place values.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: In the following example, $312521 \\lt 312712$ since $5 \\lt 7$ at the hundreds place.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"356\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-numbers-using-place-value-chart.png\" alt=\"Comparing numbers using place value chart\" class=\"wp-image-33807\" title=\"Comparing numbers using place value chart\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-numbers-using-place-value-chart.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-numbers-using-place-value-chart-300x172.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-what-is-ordering-numbers\">What Is Ordering Numbers?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Ordering a list of numbers means arranging the numbers from least to greatest or greatest to least. In other words, we can say that <strong>ordering numbers means arranging numbers either in increasing order or decreasing order.<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Ascending order<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Arrangement of numbers in increasing order, from the smallest to the greatest, is called ascending order.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example $2 \\lt 4 \\lt 6 \\lt 8 \\lt 10$<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Descending order<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Arrangement of numbers in decreasing order, from the greatest to smallest, is called descending order.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example, $10 \\gt 8 \\gt 6 \\gt 4 \\gt 2$&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-comparing-and-ordering-real-numbers-using-a-number-line\">Comparing and Ordering Real Numbers Using a Number Line<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">On a number line, the numbers increase as we go from left to right. Thus, the number on the right is always greater than the number on the left. Thus, any two real numbers can be compared based on their position on the number line.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"312\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-and-ordering-numbers-using-the-number-line.png\" alt=\"Comparing and ordering numbers using the number line\" class=\"wp-image-33808\" title=\"Comparing and ordering numbers using the number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-and-ordering-numbers-using-the-number-line.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-and-ordering-numbers-using-the-number-line-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example: Compare <\/strong><strong>&#8211;<\/strong><strong>9 and 8 on the number line.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">-9 lies on the left side of 8.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, -9 &lt; 8.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"295\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-numbers-on-a-number-line.png\" alt=\"Comparing numbers on a number line\" class=\"wp-image-33809\" title=\"Comparing numbers on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-numbers-on-a-number-line.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-numbers-on-a-number-line-300x143.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can order the integers in increasing order as shown below<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\u2026\\; \\lt -9 \\lt -8 \\lt -7 \\lt -6 \\lt \u2026\\lt -2 \\lt -1 \\lt 0 \\lt 1 \\lt 2 \\lt 3 \\lt 4 \\lt \u2026$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Similarly, $0.5 \\lt 1.4$ since 0.5 lies on the left side of 1.4.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-comparing-rational-numbers\">Comparing Rational Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Comparing two or more rational numbers is similar to comparing fractions. We just need to keep in mind that:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">All negative rational numbers are smaller than 0.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">All positive rational numbers are greater than 0.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">All positive rational numbers are greater than all negative rational numbers.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">As we know that rational numbers include whole numbers, integers, fractional, and decimal numbers in it, hence comparing two or more rational numbers can be categorized as<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Comparing Whole Numbers<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Comparing Integers<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Comparing Fractions<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Comparing Decimals<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s discuss steps for comparing numbers for each category one by one.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-comparing-whole-numbers\">Comparing Whole Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">There are some steps through which we can compare two or more whole numbers:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1:<\/strong> We should compare the number of digits. If there are more digits, it means the number is greater. For example $15 \\gt 9,\\; 125 \\gt 32$, etc.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2:<\/strong> If the number of digits is the same in both numbers, then we should compare the highest place values or the digit to the extreme left of the numbers. For example, $65 \\gt 57,\\; 243 \\gt 127$, etc.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3:<\/strong> If the digits at the highest place value are the same, we should compare the digits in the next digits to the right or the second highest place value. For example $76 \\gt 72,\\; 358 \\gt 348$, etc.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 4: <\/strong>We keep comparing digits with the same place value until we find digits that are different. The number with the greater face value is the greater number. $109 \\gt 102,\\; 557 \\gt 552$ etc.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-comparing-integers\">Comparing Integers<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Comparing two positive integers is the same as comparing whole numbers except comparing with a negative integer.<br><\/li>\n\n\n\n<li class=\"eplus-wrapper\">A positive integer is always greater or more than a negative integer.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example $5 \\gt \\;\u2212\\;5,\\; 80 \\gt \\;\u2212\\; 80$, etc.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">For comparing two negative numbers, we say that the greater number with a negative sign is the smallest of two negative integers.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example $\u2212\\;80 \\lt \\;\u2212\\;75,\\; \u2212\\;15 \\lt \\;\u2212\\;5$, etc.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Negative integers are less than 0 and positive integers are greater than 0.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example $\u2212\\;5 \\lt 0, \\;\u2212\\;12 \\lt 0,\\; 8 \\gt 0$, etc.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-comparing-fractions\">Comparing Fractions<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When two or more fractions share the same denominator, the fractions are called \u201clike fractions.\u201d When two or more fractions have different denominators, they are called \u201cunlike fractions.\u201d<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"10-comparing-like-fractions\">Comparing Like Fractions<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To compare two or more like fractions, we just have to compare the numerators.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"404\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-like-fractions.png\" alt=\"Comparing like fractions\" class=\"wp-image-33810\" title=\"Comparing like fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-like-fractions.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/comparing-like-fractions-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In the above figure, since $7 \\gt 5$, hence $78\\gt58$.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"11-comparing-unlike-fractions\">Comparing Unlike Fractions<\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To compare two or more unlike fractions, we can use different methods.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Cross Multiplication Method<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We multiply the numerator of the first fraction by the denominator of the second fraction and write the answer.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example, we have to compare $\\frac{5}{8}$ and $\\frac{6}{11}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, we multiply 5 and 11 together and 8 and 6 together, and we get<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$5 \\times 11 = 55$ and $6 \\times 8 = 48$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">After that, we can compare them like two whole numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$55 \\gt 48$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Finally, we replace the numbers with fractions.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{5}{8} \\gt \\frac{6}{11}$<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Making the Denominators the Same&nbsp;<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this method, we first find the LCM of both denominators.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let us take the above example, i.e., compare $\\frac{5}{8}$ and $\\frac{6}{11}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">LCM $(8,\\; 11) = 88$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To make the denominator the same, multiply the numerator and denominator by a relevant number.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{5 \\times 11}{8 \\times 11} = \\frac{55}{88}$ and $\\frac{6\\times8}{11\\times8} = \\frac{48}{88}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">After the denominators become the same, we compare the numerator.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$55 &gt; 48$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Finally, we replace the numbers with fractions.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{55}{88} \\gt \\frac{48}{88} \\Rightarrow \\frac{5}{8}\\gt\\frac{6}{11}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-comparing-decimals\">Comparing Decimals<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can compare two or more decimals by using the following steps:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1:<\/strong> Firstly, compare the whole number part (i.e., compare the digits before the decimal). If they are different, you can compare the numbers as you would for any whole number. If they are the same, then follow the next step.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2: <\/strong>Compare the tenth place. If they are different, then compare the numbers as you would for whole numbers. If they match, then move on to the next digit.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3:<\/strong> Compare the hundredths place. If they are different, then compare those digits as you would for whole numbers. If they match, then move on to the next digit.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example:<\/strong> <strong>Compare 23.56 and 23.289.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The numbers before the decimal are the same. So, we move to the next step, i.e., comparing the tenth place. Since $5 \\gt 3,\\; 23.56 \\gt 23.289$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-fun-facts\">Fun Facts!<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">All negative rational numbers are smaller than 0.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">All positive rational numbers are greater than 0.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">All positive rational numbers are greater than all negative rational numbers.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"14-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this article, we have discussed the meaning and symbols of comparing numbers, the method of comparing numbers, ordering, ascending and descending order as well as some important facts, and problems based on comparing and ordering numbers.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"15-solved-examples-on-comparing-and-ordering\">Solved Examples On Comparing and Ordering<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Compare the numbers 425 and 412.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Given numbers 425 and 412.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since the number of digits is the same in both numbers and the first digit is also the same, i.e., 4. But the digit at tens places 2 &gt; 1.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore, $425 \\gt 412$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, 425 is greater than 412.<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Which number is smaller out of <\/strong>$\u2212612$<strong> and <\/strong>$\u2212625$<strong>?<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For comparing two negative numbers, we say that the greater number with a negative sign is the smallest of two negative integers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore, $\u2212625 \\lt \u2212612$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, $\u2212625$ is smaller than $\u2212612$.<\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Compare <\/strong>$\\frac{3}{5}$<strong> and <\/strong>$\\frac{5}{9}$<strong>.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We have to compare $\\frac{3}{5}$ and<strong> <\/strong>$\\frac{5}{9}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Using the cross multiplication method,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{3}{5} = \\frac{3 \\times 9}{5 \\times 9} = \\frac{27}{45}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{5}{9} = \\frac{5 \\times 5}{9 \\times 5} = \\frac{25}{45}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, $27 \\gt 25$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, $\\frac{27}{45} \\gt \\frac{25}{45}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Finally, we replace the numbers with fractions $\\frac{3}{5} \\gt \\frac{5}{9}$<strong>.<\/strong><\/p>\n\n\n\n<ol start=\"4\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Compare the numbers 5, 0, 10, and <\/strong>$\u221215$<strong>. Also, arrange them in ascending order.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Given a list of numbers $5, 0, 10,$ and $\u221215$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since a positive integer is always greater than a negative integer, $\u221215$ is smaller than all of the given numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Also, negative integers are less than 0 and positive integers are greater than 0.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, $\u221215 \\lt 0 \\lt 5 \\lt 10$ (ascending order).<\/p>\n\n\n\n<ol start=\"5\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Which is greater: 3.025 or 3.003?<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since the ones and tenth place of both the numbers are the same. So, we will see the hundredth place. Since $2 \\gt 0$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, $3.025 \\gt 3.003$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"16-practice-problems-on-comparing-and-ordering\">Practice Problems On Comparing and Ordering<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Comparing and Ordering Numbers: Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following is not a sign of comparing two numbers?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\gt$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\lt$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$=$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\Rightarrow$<\/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: $\\Rightarrow$<br\/>The sign given in option d $(\\Rightarrow)$ is of implies a symbol, which is not used for comparing two numbers.<\/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\">Which of the following is greater than $\u22125$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\u22124$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\u22121$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$0$<\/div><div class=\"spq_answer_block\" data-value=\"3\">All of the above are correct<\/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: All of the above are correct<br\/>$0$ is greater than all negative numbers.<br>\r\nOn a number line, $\u22124$ and $\u22121$ lie on the left side of the $\u22125$.<br> \r\nHence all numbers, i.e., $\u22124,\\; \u22121$, and $0$ are greater than $\u22125$.<\/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\">Choose the correct sign for blank space: $\\frac{13}{19}$ \u2014\u2014\u2014 $\\frac{17}{19}$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\gt$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\lt$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$=$<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/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: $\\lt$<br\/>Since both the fractions have the same denominator and $13 \\lt 17$,<br>\r\n$\\frac{13}{19} \\lt \\frac{17}{19}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Ordering of a list of numbers in increasing order is called _________ order.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">ascending<\/div><div class=\"spq_answer_block\" data-value=\"1\">descending<\/div><div class=\"spq_answer_block\" data-value=\"2\">declining<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/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: ascending<br\/>Ordering of a list of numbers in increasing order is called ascending order.<\/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\": \"Comparing and Ordering Numbers: Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Comparing and Ordering Numbers\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is not a sign of comparing two numbers?\",\n                    \"text\": \"Which of the following is not a sign of comparing two numbers?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The sign given in option d $$(\\\\Rightarrow)$$ is of implies a symbol, which is not used for comparing two numbers.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\gt$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sign given in option d $$(\\\\Rightarrow)$$ is of implies a symbol, which is not used for comparing two numbers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\lt$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sign given in option d $$(\\\\Rightarrow)$$ is of implies a symbol, which is not used for comparing two numbers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$=$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sign given in option d $$(\\\\Rightarrow)$$ is of implies a symbol, which is not used for comparing two numbers.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\Rightarrow$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The sign given in option d $$(\\\\Rightarrow)$$ is of implies a symbol, which is not used for comparing two numbers.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The sign given in option d $$(\\\\Rightarrow)$$ is of implies a symbol, which is not used for comparing two numbers.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is greater than $$\u22125$$?\",\n                    \"text\": \"Which of the following is greater than $$\u22125$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$0$$ is greater than all negative numbers.<br>\r\nOn a number line, $$\u22124$$ and $$\u22121$$ lie on the left side of the $$\u22125$$.<br> \r\nHence all numbers, i.e., $$\u22124,\\\\; \u22121$$, and $$0$$ are greater than $$\u22125$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\u22124$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0$$ is greater than all negative numbers.<br>\r\nOn a number line, $$\u22124$$ and $$\u22121$$ lie on the left side of the $$\u22125$$.<br> \r\nHence all numbers, i.e., $$\u22124,\\\\; \u22121$$, and $$0$$ are greater than $$\u22125$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\u22121$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0$$ is greater than all negative numbers.<br>\r\nOn a number line, $$\u22124$$ and $$\u22121$$ lie on the left side of the $$\u22125$$.<br> \r\nHence all numbers, i.e., $$\u22124,\\\\; \u22121$$, and $$0$$ are greater than $$\u22125$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$0$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0$$ is greater than all negative numbers.<br>\r\nOn a number line, $$\u22124$$ and $$\u22121$$ lie on the left side of the $$\u22125$$.<br> \r\nHence all numbers, i.e., $$\u22124,\\\\; \u22121$$, and $$0$$ are greater than $$\u22125$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"All of the above are correct\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$0$$ is greater than all negative numbers.<br>\r\nOn a number line, $$\u22124$$ and $$\u22121$$ lie on the left side of the $$\u22125$$.<br> \r\nHence all numbers, i.e., $$\u22124,\\\\; \u22121$$, and $$0$$ are greater than $$\u22125$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$0$$ is greater than all negative numbers.<br>\r\nOn a number line, $$\u22124$$ and $$\u22121$$ lie on the left side of the $$\u22125$$.<br> \r\nHence all numbers, i.e., $$\u22124,\\\\; \u22121$$, and $$0$$ are greater than $$\u22125$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Choose the correct sign for blank space: $$\\\\frac{13}{19}$$ \u2014\u2014\u2014 $$\\\\frac{17}{19}$$.\",\n                    \"text\": \"Choose the correct sign for blank space: $$\\\\frac{13}{19}$$ \u2014\u2014\u2014 $$\\\\frac{17}{19}$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Since both the fractions have the same denominator and $$13 \\\\lt 17$$,<br>\r\n$$\\\\frac{13}{19} \\\\lt \\\\frac{17}{19}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\gt$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since both the fractions have the same denominator and $$13 \\\\lt 17$$,<br>\r\n$$\\\\frac{13}{19} \\\\lt \\\\frac{17}{19}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$=$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since both the fractions have the same denominator and $$13 \\\\lt 17$$,<br>\r\n$$\\\\frac{13}{19} \\\\lt \\\\frac{17}{19}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since both the fractions have the same denominator and $$13 \\\\lt 17$$,<br>\r\n$$\\\\frac{13}{19} \\\\lt \\\\frac{17}{19}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\lt$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Since both the fractions have the same denominator and $$13 \\\\lt 17$$,<br>\r\n$$\\\\frac{13}{19} \\\\lt \\\\frac{17}{19}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Since both the fractions have the same denominator and $$13 \\\\lt 17$$,<br>\r\n$$\\\\frac{13}{19} \\\\lt \\\\frac{17}{19}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Ordering of a list of numbers in increasing order is called _________ order.\",\n                    \"text\": \"Ordering of a list of numbers in increasing order is called _________ order.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Ordering of a list of numbers in increasing order is called ascending order.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"descending\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Ordering of a list of numbers in increasing order is called ascending order.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"declining\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Ordering of a list of numbers in increasing order is called ascending order.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Ordering of a list of numbers in increasing order is called ascending order.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"ascending\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Ordering of a list of numbers in increasing order is called ascending order.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Ordering of a list of numbers in increasing order is called ascending order.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"17-frequently-asked-questions-on-comparing-and-ordering\">Frequently Asked Questions On Comparing and Ordering<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\" 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-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\"><strong>Why is comparing numbers important in our daily lives?<\/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-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We compare numbers in our daily lives. For example, for comparing weights, for comparing the prices of everyday items, comparing the height of two or more people, etc.<\/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-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\"><strong>How is comparing numbers different from ordering 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-1-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Comparing numbers is a method of identifying greater, smaller, or equal numbers. Ordering numbers means arranging them in an ascending or descending order.<\/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-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\"><strong>What is a quick way of comparing 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-2-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The easiest way to compare numbers is by marking the numbers on a number line.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\"><strong>What are the different ways to compare 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-3-f5f4d2d4-938c-45bf-9932-e4e0f90ef8de\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can use different approaches to compare numbers, such as comparing numbers on a number line, by counting the number of digits, using place values of the numbers, etc.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What are Comparing and Ordering Numbers? Have you ever compared your height and your friend\u2019s height to decide who is taller? Or has the teacher ever asked your class to stand in increasing order of height?&nbsp; This type of situation can be answered by comparing and ordering numbers. \u201cComparing\u201d in math is the process in &#8230; <a title=\"Comparing and Ordering Numbers: Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/comparing-and-ordering\" aria-label=\"More on Comparing and Ordering Numbers: Definition with Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-26714","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\/26714","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=26714"}],"version-history":[{"count":14,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26714\/revisions"}],"predecessor-version":[{"id":39963,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26714\/revisions\/39963"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=26714"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=26714"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=26714"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}