{"id":1629,"date":"2022-04-21T09:24:28","date_gmt":"2022-04-21T09:24:28","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1629"},"modified":"2023-09-03T14:26:43","modified_gmt":"2023-09-03T14:26:43","slug":"ordered-pair-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/ordered-pair","title":{"rendered":"What Is an Ordered Pair? Definition, Facts, Examples, FAQs"},"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-7c0c2969-2d4e-4862-b7b6-9479c5613a65\" 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\/geometry\/ordered-pair#0-what-is-an-ordered-pair>What Is an Ordered Pair?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/ordered-pair#3-how-to-graph-points-using-ordered-pairs>How to Graph Points Using Ordered Pairs<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/ordered-pair#4-ordered-pairs-in-different-quadrants>Ordered Pairs in Different Quadrants<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/ordered-pair#9-solved-examples-on-ordered-pairs>Solved Examples on Ordered Pairs<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/ordered-pair#10-practice-problems-on-ordered-pairs>Practice Problems on Ordered Pairs<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/ordered-pair#11-frequently-asked-questions-on-ordered-pairs>Frequently Asked Questions on Ordered Pairs<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-an-ordered-pair\">What Is an Ordered Pair?<\/h2>\n\n\n\n<p><strong>An ordered pair refers to two numbers written in a certain order.<\/strong> We generally use ordered pairs in the context of coordinates of a point in a 2D plane. It helps to locate or plot a point easily on a Cartesian plane.<\/p>\n\n\n\n<p>To represent an ordered pair, the two numbers are written inside the parentheses, separated by a comma, like this:&nbsp;<\/p>\n\n\n\n<p><strong>(x, y)<\/strong><\/p>\n\n\n\n<p>Here, \u201cx\u201d is the first element and \u201cy\u201d is the second element of the ordered pair.&nbsp;<\/p>\n\n\n\n<p>Since the order of the elements is significant, we cannot interchange the positions of the numbers. Thus, (x, y) may not always be equal to (y, x).&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"335\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/elements-of-an-ordered-pair.png\" alt=\"Elements of an ordered pair\" class=\"wp-image-33581\" title=\"Elements of an ordered pair\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/elements-of-an-ordered-pair.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/elements-of-an-ordered-pair-300x162.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-factor-pairs-for-a-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/algebra_complete_factor_pair_pt.png\" alt=\"Complete Factor Pairs for a Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete Factor Pairs for a Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-objects-in-pairs\" 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\/mult_foundation_count_objects_in_pairs_pt.png\" alt=\"Count Objects in Pairs 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\">Count Objects in Pairs 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\/count-pairs-of-parallel-sides-in-shapes-and-choose-the-correct-answer\" 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\/geometry_count_parallel_2d_shape_pt.png\" alt=\"Count Pairs of Parallel Sides in Shapes and Choose the Correct Answer 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\">Count Pairs of Parallel Sides in Shapes and Choose the Correct Answer 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\/identify-the-correct-pair-of-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_which_pair_makes_no_2_pt.png\" alt=\"Identify the Correct Pair of 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\">Identify the Correct Pair of 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\/identify-the-shape-which-has-at-least-one-pair-of-parallel-sides\" 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\/geometry_parallel_side_2d_shape_1_pt.png\" alt=\"Identify the Shape Which has At Least One Pair of Parallel Sides 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\">Identify the Shape Which has At Least One Pair of Parallel Sides 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\/identify-the-shape-which-has-two-pairs-of-parallel-sides\" 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\/geometry_parallel_side_2d_shape_2_pt.png\" alt=\"Identify the Shape Which has Two Pairs of Parallel Sides 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\">Identify the Shape Which has Two Pairs of Parallel Sides 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\/identify-whether-the-numbers-are-ordered-correctly\" 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_order_number_1_pt.png\" alt=\"Identify Whether the Numbers are Ordered Correctly 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\">Identify Whether the Numbers are Ordered Correctly 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\/select-a-pair-of-equivalent-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_select_pair_equi_pt.png\" alt=\"Select a Pair of Equivalent Fractions 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\">Select a Pair of Equivalent Fractions 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\/select-the-pair-of-equivalent-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_identify_equi_without_model_pt.png\" alt=\"Select the Pair of Equivalent Fractions 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\">Select the Pair of Equivalent Fractions 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\/which-pair-makes-10\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_which_pair_makes_10_pt.png\" alt=\"Which Pair Makes 10 Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Which Pair Makes 10 Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><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-ordered-pair-definition\">Ordered Pair: Definition<\/h2>\n\n\n\n<p>An ordered pair is a pair of elements or numbers written in a specific and fixed order.<\/p>\n\n\n\n<p>On a Cartesian plane, an ordered pair (x, y) is defined as the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/coordinates\">coordinates<\/a> of a point such that \u201cx\u201d is the x-coordinate and \u201cy\u201d is the y-coordinate.<\/p>\n\n\n\n<p>Ordered pair examples: (1,2), (-4, 5), (-9, -8)<\/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\/find-pairs-of-equivalent-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\/find-pairs-of-equivalent-fractions.jpeg\" alt=\"Find Pairs of Equivalent 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\/identify-ordered-pairs-on-coordinate-grid\" 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\/identify-ordered-pairs-on-coordinate-grid.jpeg\" alt=\"Identify Ordered Pairs On Coordinate Grid 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\/marking-ordered-pairs-on-coordinate-grid\" 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\/marking-ordered-pairs-on-coordinate-grid.jpeg\" alt=\"Marking Ordered Pairs on Coordinate Grid 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-ordered-pair-in-cartesian-plane\">Ordered Pair in Cartesian Plane<\/h2>\n\n\n\n<p>The Cartesian plane is named after a French mathematician, Ren\u00e9 Descartes, who first introduced it. It is formed by the intersection of two perpendicular number lines (or axes). We call the horizontal axis the x-axis and the vertical axis the y-axis.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"366\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pair-x-y-on-a-cartesian-plane.png\" alt=\"Ordered pair (x, y) on a Cartesian plane\" class=\"wp-image-33582\" title=\"Ordered pair (x, y) on a Cartesian plane\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pair-x-y-on-a-cartesian-plane.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pair-x-y-on-a-cartesian-plane-300x177.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>The two axes intersect at the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/origin\">origin<\/a>. An ordered pair represents the position of a point on the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/coordinate-plane\">coordinate plane<\/a> with respect to the origin. The ordered pair (0,0) defines the position of origin. Each point on the Cartesian plane is represented by an ordered pair (x, y).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The first element \u201cx\u201d is known as <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/x-coordinate\">x-coordinate<\/a> or abscissa. It defines the horizontal distance of the point from the origin<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The second element \u201cy\u201d is known as <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/y-coordinate\">y-coordinate<\/a> or ordinate. It defines the vertical distance of the point from the origin.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-graph-points-using-ordered-pairs\">How to Graph Points Using Ordered Pairs<\/h2>\n\n\n\n<p><strong>Step 1:<\/strong> Start with the first number \u201cx\u201d in the ordered pair or the x-coordinate.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If x is positive, move |x| units to the right of the origin.<\/li>\n\n\n\n<li>If x is negative, move |x| units to the left of the origin.<\/li>\n<\/ul>\n\n\n\n<p>Mark this point.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Next, we will consider the second number in the ordered pair or the y-coordinate. We will move vertically up or down from the point we marked in step 2.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If y is positive, move |y| units up from the marked point.<\/li>\n\n\n\n<li>If y is negative, move |y| units down from the marked point.<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 3:<\/strong> The point at which we arrive in <strong>Step 2 <\/strong>represents the ordered pair (x, y).<\/p>\n\n\n\n<p>(<strong>Note:<\/strong> |x| and |y| represent the absolute values of x and y respectively.)<\/p>\n\n\n\n<p><strong>Example 1: Plot the point represented by the ordered pair (6, 4) on the Cartesian plane.<\/strong><\/p>\n\n\n\n<p>Since both x-coordinate and y-coordinate are positive, we move 6 units to the right from origin, and from there we move 4 units up.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"618\" height=\"477\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/plotting-ordered-pair-6-4-on-the-cartesian-plane.png\" alt=\"Plotting ordered pair (6, 4) on the Cartesian plane\" class=\"wp-image-33584\" title=\"Plotting ordered pair (6, 4) on the Cartesian plane\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/plotting-ordered-pair-6-4-on-the-cartesian-plane.png 618w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/plotting-ordered-pair-6-4-on-the-cartesian-plane-300x232.png 300w\" sizes=\"auto, (max-width: 618px) 100vw, 618px\" \/><\/figure>\n\n\n\n<p><strong>Example 2: Plot (2, <\/strong><strong>&#8211;<\/strong><strong>4) on a Cartesian plane.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"453\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/plotting-ordered-pair-2-4-on-a-cartesian-plane.png\" alt=\"\" class=\"wp-image-33585\" title=\"Plotting ordered pair (2, -4) on a Cartesian plane\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/plotting-ordered-pair-2-4-on-a-cartesian-plane.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/plotting-ordered-pair-2-4-on-a-cartesian-plane-300x219.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-ordered-pairs-in-different-quadrants\">Ordered Pairs in Different Quadrants<\/h2>\n\n\n\n<p>The x-axis (horizontal axis) and the y-axis (vertical axis) divide the Cartesian plane into 4 parts. Each of the 4 parts is known as a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quadrant\">quadrant<\/a>.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"500\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/signs-of-ordered-pairs-in-four-quadrants.png\" alt=\"Signs of ordered pairs in four quadrants\" class=\"wp-image-33586\" title=\"Signs of ordered pairs in four quadrants\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/signs-of-ordered-pairs-in-four-quadrants.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/signs-of-ordered-pairs-in-four-quadrants-300x242.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>The signs of x and y in an ordered pair (x, y) in a particular quadrant can be determined on the basis of the two number lines that form axes of the given quadrant. Similarly, you can easily identify in which quadrant a given ordered pair lies.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Quadrant<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Ordered Pair Signs<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">I<\/td><td class=\"has-text-align-left\" data-align=\"left\">x &gt; 0, y &gt; 0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">II<\/td><td class=\"has-text-align-left\" data-align=\"left\">x &lt; 0, y &gt; 0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">III<\/td><td class=\"has-text-align-left\" data-align=\"left\">x &lt; 0, y &lt; 0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">IV<\/td><td class=\"has-text-align-left\" data-align=\"left\">x &gt; 0, y &lt; 0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Let\u2019s plot points using the ordered pairs (3, 9), (<strong>&#8211;<\/strong>7, 6), (<strong>&#8211;<\/strong>6, <strong>&#8211;<\/strong>7), and (7, <strong>&#8211;<\/strong>2) to observe how the signs of the numbers in the ordered pairs determine the quadrant.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Ordered Pair (x, y)<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>x<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>y<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Quadrant<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">(3, 9)<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-center\" data-align=\"center\">9<\/td><td class=\"has-text-align-center\" data-align=\"center\">I<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">(<strong>&#8211;<\/strong>7, 6)<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>&#8211;<\/strong>7<\/td><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><td class=\"has-text-align-center\" data-align=\"center\">II<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">(<strong>&#8211;<\/strong>6, <strong>&#8211;<\/strong>7)<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>&#8211;<\/strong>6<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>&#8211;<\/strong>7<\/td><td class=\"has-text-align-center\" data-align=\"center\">III<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">(7, <strong>&#8211;<\/strong>2)<\/td><td class=\"has-text-align-center\" data-align=\"center\">7<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>&#8211;<\/strong>2<\/td><td class=\"has-text-align-center\" data-align=\"center\">IV<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"618\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pairs-used-to-plot-points-in-different-quadrants.png\" alt=\"Ordered pairs used to plot points in different quadrants\" class=\"wp-image-33587\" title=\"Ordered pairs used to plot points in different quadrants\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pairs-used-to-plot-points-in-different-quadrants.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pairs-used-to-plot-points-in-different-quadrants-300x300.png 300w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pairs-used-to-plot-points-in-different-quadrants-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pairs-used-to-plot-points-in-different-quadrants-250x250.png 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pairs-used-to-plot-points-in-different-quadrants-120x120.png 120w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-cartesian-product-and-ordered-pairs\">Cartesian Product and Ordered Pairs<\/h2>\n\n\n\n<p>The cartesian product&nbsp; A B of two non-empty sets A and B is basically the collection of all ordered pairs (a, b) such that the first element \u201ca\u201d is from the set A and the second element \u201cb\u201d is from the set B.<\/p>\n\n\n\n<p>$A\\times B = \\left\\{(a,\\;b) : a \\in A,\\; b \\in B\\right\\}$\u00a0<\/p>\n\n\n\n<p><strong>Example: <\/strong>$A = \\left\\{1,\\; 2\\right\\},\\; B = \\left\\{5,\\; 6\\right\\}$<\/p>\n\n\n\n<p>$A\\times B = \\left\\{(1,\\; 5), \\;(1,\\; 6),\\; (2,\\; 5),\\; (2,\\; 6)\\right\\}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-equality-property-of-ordered-pairs\">Equality Property of Ordered Pairs<\/h2>\n\n\n\n<p>If two ordered pairs are equal, then their corresponding elements are also equal. This is known as the \u201cequality property of ordered pairs.\u201d<\/p>\n\n\n\n<p><strong>If (x, y) = (a, b) then we can say that x = a and y = b.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If (x, y) = (1, 5) then x = 1 and y = 5.<\/li>\n\n\n\n<li>If (a, b)= (c, d), then a = c and b = d.<\/li>\n\n\n\n<li>If (x + 1, y +1) = (10, 12) then x + 1 = 10 and y + 1 = 12.<br><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-facts-about-ordered-pairs\">Facts about Ordered Pairs<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The Cartesian plane is named after the French mathematician and philosopher Ren\u00e9 Descartes.<\/li>\n\n\n\n<li>If the first number of an ordered pair is 0, it means that the point lies on the y-axis. Such points have coordinates of the form (0, b).<\/li>\n\n\n\n<li>If the second number in an ordered pair is 0, it means that the point lies on the x-axis. Such points have coordinates of the form (a, 0).<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about ordered pairs, their representation, ordered pairs on a Cartesian plane, ordered pairs in a Cartesian product, and equality property. Let\u2019s look at a few solved examples and practice problems.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-solved-examples-on-ordered-pairs\">Solved Examples on Ordered Pairs<\/h2>\n\n\n\n<p><strong>1. What does the ordered pair (5, <\/strong><strong>&#8211;<\/strong><strong>6) represent on the Cartesian plane?&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>The first element of (5, -6) = x-coordinate = 5<\/p>\n\n\n\n<p>It is positive.<\/p>\n\n\n\n<p>It means that the horizontal distance of the point from origin is 5 units to the right.&nbsp;<\/p>\n\n\n\n<p>The second element of (5, -6) = y-coordinate = -6<\/p>\n\n\n\n<p>It is negative.<\/p>\n\n\n\n<p>It means that the vertical distance from origin is 6 units down.&nbsp;<\/p>\n\n\n\n<p>Based on the signs (+,<strong>&#8211;<\/strong><strong>)<\/strong>, it is clear that the point lies in<strong> <\/strong>the fourth quadrant.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"415\" height=\"376\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pair-5-6-on-a-cartesian-plane.png\" alt=\"Ordered pair (5, -6) on a Cartesian plane\" class=\"wp-image-33588\" title=\"Ordered pair (5, -6) on a Cartesian plane\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pair-5-6-on-a-cartesian-plane.png 415w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pair-5-6-on-a-cartesian-plane-300x272.png 300w\" sizes=\"auto, (max-width: 415px) 100vw, 415px\" \/><\/figure>\n\n\n\n<p><strong>2. In which quadrant will (<\/strong><strong>&#8211;<\/strong><strong>100, 150) lie?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>The x-coordinate is -100. It is negative.&nbsp;<\/p>\n\n\n\n<p>The y-coordinate is 150. It&#8217;s positive.&nbsp;<\/p>\n\n\n\n<p>(<strong>&#8211;<\/strong><strong>, <\/strong>+<strong>)<\/strong> represents the second quadrant.<\/p>\n\n\n\n<p>So, (-100, 150) lies in the second quadrant.&nbsp;<\/p>\n\n\n\n<p><strong>3. In which quadrants do the points (<\/strong><strong>&#8211;<\/strong><strong>3, <\/strong><strong>&#8211;<\/strong><strong>5), (8, 4), (<\/strong><strong>&#8211;<\/strong><strong>7, 5), (6, <\/strong><strong>&#8211;<\/strong><strong>3) lie on the Cartesian plane? Use the given ordered pairs to plot the points.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>(-3, -5) lies in Quadrant III .<\/p>\n\n\n\n<p>(8, 4) lies in Quadrant I.<\/p>\n\n\n\n<p>(<strong>&#8211;<\/strong>7, 5) lies in Quadrant IV.<\/p>\n\n\n\n<p>&nbsp;(6, -3) lies in Quadrant II.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"381\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pairs-3-5-8-4-7-5-6-3-on-a-number-line.png\" alt=\"Ordered pairs (-3, -5), (8, 4), (-7, 5), (6, -3) on a number line\" class=\"wp-image-33589\" title=\"Ordered pairs (-3, -5), (8, 4), (-7, 5), (6, -3) on a number line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pairs-3-5-8-4-7-5-6-3-on-a-number-line.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/ordered-pairs-3-5-8-4-7-5-6-3-on-a-number-line-300x185.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-practice-problems-on-ordered-pairs\">Practice Problems on Ordered Pairs<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">What Is an Ordered Pair? Definition, Facts, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Find the value of x and y if (2x + 1, 3y - 2) = (9, - 11).<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">x = 4,  y = - 3<\/div><div class=\"spq_answer_block\" data-value=\"1\">x = 4, y = 3<\/div><div class=\"spq_answer_block\" data-value=\"2\">x = - 4, y = - 3<\/div><div class=\"spq_answer_block\" data-value=\"3\">x = - 4, y = 3<\/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: x = 4,  y = - 3<br\/>By equality property, we write<br>\r\n2x + 1 = 9 and 3y - 2 = -11<br>\r\nx = 4, y = -3<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following statements is false?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">An ordered pair is of the form (x, y).<\/div><div class=\"spq_answer_block\" data-value=\"1\">The x-coordinate is also known as abscissa.<\/div><div class=\"spq_answer_block\" data-value=\"2\">(x, y) = (y, x)<\/div><div class=\"spq_answer_block\" data-value=\"3\">The ordered pair (0,0) represents origin.<\/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: (x, y) = (y, x)<br\/>The order of the numbers in the ordered pair is important.<br>\r\nSo, (x, y) $\\neq$ (y, x)<br>\r\nWe can say that (x, y) = (y, x) only if x = y.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The point (-1,-1) lies in Quadrant ____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">I<\/div><div class=\"spq_answer_block\" data-value=\"1\">II<\/div><div class=\"spq_answer_block\" data-value=\"2\">III<\/div><div class=\"spq_answer_block\" data-value=\"3\">IV<\/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: III<br\/>Ordered pairs with signs (-,-) represent points in the third quadrant.<\/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\">An ordered pair of the form (x, 0) lies on the<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">x-axis.<\/div><div class=\"spq_answer_block\" data-value=\"1\">y-axis.<\/div><div class=\"spq_answer_block\" data-value=\"2\">origin.<\/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: x-axis.<br\/>An ordered pair of the form (x, 0) lies on the x-axis.<\/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\": \"What Is an Ordered Pair? 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\"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"x = 4, y = 3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"By equality property, we write<br>\r\n2x + 1 = 9 and 3y - 2 = -11<br>\r\nx = 4, y = -3\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"x = - 4, y = - 3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"By equality property, we write<br>\r\n2x + 1 = 9 and 3y - 2 = -11<br>\r\nx = 4, y = -3\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"x = - 4, y = 3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"By equality property, we write<br>\r\n2x + 1 = 9 and 3y - 2 = -11<br>\r\nx = 4, y = -3\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"x = 4,  y = - 3\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"By equality property, we write<br>\r\n2x + 1 = 9 and 3y - 2 = -11<br>\r\nx = 4, y = -3\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"By equality property, we write<br>\r\n2x + 1 = 9 and 3y - 2 = -11<br>\r\nx = 4, y = -3\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following statements is false?\",\n                    \"text\": \"Which of the following statements is false?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The order of the numbers in the ordered pair is important.<br>\r\nSo, (x, y) $$\\\\neq$$ (y, x)<br>\r\nWe can say that (x, y) = (y, x) only if x = y.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"An ordered pair is of the form (x, y).\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The order of the numbers in the ordered pair is important.<br>\r\nSo, (x, y) $$\\\\neq$$ (y, x)<br>\r\nWe can say that (x, y) = (y, x) only if x = y.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"The x-coordinate is also known as abscissa.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The order of the numbers in the ordered pair is important.<br>\r\nSo, (x, y) $$\\\\neq$$ (y, x)<br>\r\nWe can say that (x, y) = (y, x) only if x = y.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"The ordered pair (0,0) represents origin.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The order of the numbers in the ordered pair is important.<br>\r\nSo, (x, y) $$\\\\neq$$ (y, x)<br>\r\nWe can say that (x, y) = (y, x) only if x = y.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"(x, y) = (y, x)\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The order of the numbers in the ordered pair is important.<br>\r\nSo, (x, y) $$\\\\neq$$ (y, x)<br>\r\nWe can say that (x, y) = (y, x) only if x = y.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The order of the numbers in the ordered pair is important.<br>\r\nSo, (x, y) $$\\\\neq$$ (y, x)<br>\r\nWe can say that (x, y) = (y, x) only if x = y.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The point (-1,-1) lies in Quadrant ____.\",\n                    \"text\": \"The point (-1,-1) lies in Quadrant ____.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Ordered pairs with signs (-,-) represent points in the third quadrant.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"I\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Ordered pairs with signs (-,-) represent points in the third quadrant.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"II\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Ordered pairs with signs (-,-) represent points in the third quadrant.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"IV\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Ordered pairs with signs (-,-) represent points in the third quadrant.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"III\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Ordered pairs with signs (-,-) represent points in the third quadrant.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Ordered pairs with signs (-,-) represent points in the third quadrant.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"An ordered pair of the form (x, 0) lies on the\",\n                    \"text\": \"An ordered pair of the form (x, 0) lies on the\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"An ordered pair of the form (x, 0) lies on the x-axis.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"y-axis.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An ordered pair of the form (x, 0) lies on the x-axis.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"origin.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An ordered pair of the form (x, 0) lies on the x-axis.\"\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\": \"An ordered pair of the form (x, 0) lies on the x-axis.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"x-axis.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"An ordered pair of the form (x, 0) lies on the x-axis.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"An ordered pair of the form (x, 0) lies on the x-axis.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-frequently-asked-questions-on-ordered-pairs\">Frequently Asked Questions on Ordered Pairs<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-7c50e54b-2c19-4d71-91fd-57d1cf007284\" 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-0-7c50e54b-2c19-4d71-91fd-57d1cf007284\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7c50e54b-2c19-4d71-91fd-57d1cf007284\"><strong>What is a 2-tuple?<\/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-0-7c50e54b-2c19-4d71-91fd-57d1cf007284\">\n\n<p>A tuple is a finite ordered list of numbers or elements. A 2\u2011tuple is called an ordered pair.<\/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-1-7c50e54b-2c19-4d71-91fd-57d1cf007284\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7c50e54b-2c19-4d71-91fd-57d1cf007284\"><strong>Why is the order significant in an ordered pair?<\/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-1-7c50e54b-2c19-4d71-91fd-57d1cf007284\">\n\n<p>An ordered pair (x, y) represents the location of a point on a Cartesian plane. Here, x is the horizontal distance of the point from the origin and y is the vertical distance of the point from the origin. If you change the order, you will get an entirely different location. The location of points (1, 2) and (2, 1) is not the same on a Cartesian plane.<\/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-2-7c50e54b-2c19-4d71-91fd-57d1cf007284\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7c50e54b-2c19-4d71-91fd-57d1cf007284\"><strong>How can you use ordered pairs in real life?<\/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-2-7c50e54b-2c19-4d71-91fd-57d1cf007284\">\n\n<p>When you wish to analyze the relationship between two variables where one variable depends on the other, you can use ordered pairs to record data.&nbsp;<\/p>\n\n\n\n<p>For example, you can record the number of people visiting a restaurant or a museum in a particular week as (5, 25), meaning 25 people visited a restaurant on the fifth day (Friday).<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is an Ordered Pair? An ordered pair refers to two numbers written in a certain order. We generally use ordered pairs in the context of coordinates of a point in a 2D plane. It helps to locate or plot a point easily on a Cartesian plane. To represent an ordered pair, the two numbers &#8230; <a title=\"What Is an Ordered Pair? Definition, Facts, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/ordered-pair\" aria-label=\"More on What Is an Ordered Pair? Definition, Facts, Examples, FAQs\">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-1629","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\/1629","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=1629"}],"version-history":[{"count":14,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1629\/revisions"}],"predecessor-version":[{"id":41253,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1629\/revisions\/41253"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1629"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1629"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1629"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}