{"id":35233,"date":"2023-10-27T17:21:11","date_gmt":"2023-10-27T17:21:11","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=35233"},"modified":"2023-10-28T17:45:37","modified_gmt":"2023-10-28T17:45:37","slug":"positive-rational-numbers-definition-reciprocal-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/positive-rational-numbers","title":{"rendered":"Positive Rational Numbers &#8211; Definition, Reciprocal, 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-a6d60583-5134-4bee-82f7-3e240ba61f04\" 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\/positive-rational-numbers#0-what-are-positive-rational-numbers>What Are Positive Rational Numbers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/positive-rational-numbers#2-properties-of-positive-rational-numbers>Properties of Positive Rational Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/positive-rational-numbers#6-positive-rational-numbers-vs-negative-rational-numbers>Positive Rational Numbers vs. Negative Rational Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/positive-rational-numbers#10-solved-examples-on-positive-rational-numbers>Solved Examples on Positive Rational Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/positive-rational-numbers#11-practice-problems-on-positive-rational-numbers>Practice Problems on Positive Rational Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/positive-rational-numbers#12-frequently-asked-questions-about-positive-rational-numbers>Frequently Asked Questions about Positive Rational Numbers<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-positive-rational-numbers\">What Are Positive Rational Numbers?<\/h2>\n\n\n\n<p>A positive rational number is a rational number in which both numerator and denominator have the same sign.<\/p>\n\n\n\n<p>In other words, positive rational numbers are rational numbers in which both the numerator and the denominator can be either positive integers or negative integers.<\/p>\n\n\n\n<p>Positive rational numbers examples: $\\frac{3}{7},\\;\\frac{4}{5},\\;\\frac{-\\;12}{-\\;19}$, etc.<\/p>\n\n\n\n<p><strong>What Are Rational Numbers?<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/rational-numbers\">Rational numbers<\/a> are numbers that can be written in the form pq, where p and q are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/integers\">integers<\/a> and q \u2260 0.<\/p>\n\n\n\n<p>Thus, the rational numbers not only include all the integers Z = {&#8230;, -3, -2,-1,0,1,2,3,&#8230;}, but also all the fractions or the numbers between any two integers which can be written in the rational form$\\frac{p}{q}$, where p and q are integers and q \u2260 0.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"312\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/positive-rational-numbers.png\" alt=\"Positive rational numbers\" class=\"wp-image-35249\" title=\"Positive rational numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/positive-rational-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/positive-rational-numbers-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Note: <\/strong>The difference between rational numbers and fractions lies in the fact that fractions cannot have negative numerator or denominator. Hence, the numerator and denominator of a fraction are whole numbers (denominator \u2260 0), whereas in the case of rational numbers, the numerator and denominator are integers. Rational numbers can be positive, negative and 0.<\/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\/add-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_make_10_pt.png\" alt=\"Add 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-and-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_2d_1d_match_pt.png\" alt=\"Add 2-Digit and 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit and 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-numbers-by-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_2d_vertical_pt.png\" alt=\"Add 2-Digit Numbers By Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit Numbers By Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_pt.png\" alt=\"Add 3 Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-in-any-order\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_shifty_bridges_4_gm.png\" alt=\"Add 3 Numbers in Any Order Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers in Any Order Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-groups-of-objects\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_using_model_pt.png\" alt=\"Add 3 Numbers Using Groups of Objects Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Using Groups of Objects Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_using_models_pt.png\" alt=\"Add 3 Numbers using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-digit-and-1-digit-numbers-and-match\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_3d_1d_match_g3_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers and Match Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3-Digit and 1-Digit Numbers and Match Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-digit-and-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_3d_1d_vertical_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3-Digit and 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-digit-and-1-digit-numbers-with-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_3d_1d_vertical_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers with Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3-Digit and 1-Digit Numbers with Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-positive-rational-numbers-definition\">Positive Rational Numbers: Definition<\/h2>\n\n\n\n<p>Positive rational numbers are the rational number of the form $\\frac{p}{q}$, where p and q are integers having the same sign (both positive or both negative) and q \u2260 0.<\/p>\n\n\n\n<p><strong>Case 1: When both p and q are positive integers<\/strong><\/p>\n\n\n\n<p>Here, both numerator and denominator are positive integers. Thus, the resulting rational number is also positive.<\/p>\n\n\n\n<p>Example: $\\frac{6}{7},\\;\\frac{18}{25}$<\/p>\n\n\n\n<p><strong>Case 2: When both p and q are negative integers<\/strong><\/p>\n\n\n\n<p>Here, both numerator and denominator are negative integers. If you multiply both numerator and denominator by -1, we will get an equivalent rational number in which both numerator and denominator are positive. Thus, when both numerator and denominator are negative integers, the rational number is a positive rational number.<\/p>\n\n\n\n<p>Example: $\\frac{-\\;6}{-\\;7} = \\frac{6}{7},\\;\\frac{-\\;18}{-\\;25} = \\frac{18}{25}$<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers.jpeg\" alt=\"Add & Subtract Ones & 2-Digit Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Find the Sum\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-match-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-match-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Match the Sum\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-tables\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-tables.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Tables\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-wheel\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-wheel.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Wheel\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-number-charts\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-number-charts.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Number Charts\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-place-value\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-place-value.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Place Value\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-horizontal-addition.jpeg\" alt=\"Add 1-Digit Numbers and Teen Numbers: Horizontal Addition Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-missing-digits\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-missing-digits.jpeg\" alt=\"Add 1-Digit Numbers and Teen Numbers: Missing Digits Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-missing-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-numbers-and-teen-numbers-missing-numbers.jpeg\" alt=\"Add 1-Digit Numbers and Teen Numbers: Missing Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-properties-of-positive-rational-numbers\">Properties of Positive Rational Numbers<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Positive rational numbers are always greater than zero and are positioned to the right of zero on the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-line\">number line<\/a>.<\/li>\n\n\n\n<li>They can be expressed as a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\">fraction<\/a> with a positive <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/numerator\">numerator<\/a> and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/denominator\">denominator<\/a>.<\/li>\n\n\n\n<li>Positive rational numbers are closed under <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/addition\">addition<\/a> and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication\">multiplication<\/a>.<\/li>\n\n\n\n<li>The sum of two positive rational numbers is always a positive rational number.<\/li>\n\n\n\n<li>The product of two positive rational numbers is always a positive rational number.<\/li>\n\n\n\n<li>Positive rational numbers can be written as terminating decimals or recurring decimals.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-is-0-a-positive-rational-number\">Is 0 a Positive Rational Number?<\/h2>\n\n\n\n<p>0 is neither a positive nor a negative rational number. Rational numbers are classified as positive, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/zero\">zero<\/a>, or negative rational numbers.<\/p>\n\n\n\n<p>Thus, 0 is not a positive rational number.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-is-every-natural-number-a-positive-rational-number\">Is Every Natural Number a Positive Rational Number?<\/h2>\n\n\n\n<p>Every <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/natural-numbers\">natural number<\/a> is a positive rational number since a natural number \u201cn\u201d can be written as $n = \\frac{n}{1}$, where both n and 1 are positive integers.<\/p>\n\n\n\n<p>Examples: $9 = \\frac{9}{1}, 1 = \\frac{1}{1}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-positive-rational-numbers-less-than-1\">Positive Rational Numbers Less Than 1<\/h2>\n\n\n\n<p>0 is not a rational number.<\/p>\n\n\n\n<p>1 is a positive rational number.<\/p>\n\n\n\n<p>There are infinitely many rational numbers between any two rational numbers.<\/p>\n\n\n\n<p>Here are a few positive rational numbers between 0 and 1:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$\\frac{1}{2} = 0.5$<\/li>\n\n\n\n<li>$\\frac{1}{3} = 0.33$&#8230;<\/li>\n\n\n\n<li>$\\frac{1}{4} = 0.25$<\/li>\n\n\n\n<li>$\\frac{1}{5} = 0.2$<\/li>\n\n\n\n<li>$\\frac{3}{5} = 0.6$<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-positive-rational-numbers-vs-negative-rational-numbers\">Positive Rational Numbers vs. Negative Rational Numbers<\/h2>\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>Positive Rational Numbers<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Negative Rational Numbers<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">In a positive rational number, both numerator and denominator have the same signs&nbsp;<\/td><td class=\"has-text-align-left\" data-align=\"left\">In a negative rational number, both numerator and denominator have opposite signs<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Examples: $\\frac{3}{4},\\;\\frac{-\\;5}{-\\;6},\\;\\frac{21}{29}$\u00a0<\/td><td class=\"has-text-align-left\" data-align=\"left\">Examples: $\\frac{3}{-\\;4},\\;\\frac{-\\;5}{6},\\;\\frac{-\\;21}{29}$\u00a0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Positive rational numbers are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/greater-than\">greater than<\/a> 0.<\/td><td class=\"has-text-align-left\" data-align=\"left\">Negative rational numbers are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/counting-and-comparison\/less-than\">less than<\/a> 0.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">They are located to the right of 0 on the number line.<\/td><td class=\"has-text-align-left\" data-align=\"left\">They are located to the left of 0 on the number line.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-positive-rational-numbers-symbol\">Positive Rational Numbers: Symbol<\/h2>\n\n\n\n<p>The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/sets\">set<\/a> of rational numbers can be denoted by the symbol Q.&nbsp;<\/p>\n\n\n\n<p>Positive Rational Numbers can be denoted by the symbol Q+.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-reciprocal-of-a-positive-rational-number\">Reciprocal of a Positive Rational Number<\/h2>\n\n\n\n<p>The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal\">reciprocal<\/a> of a positive rational number is also a positive rational number.<\/p>\n\n\n\n<p>The reciprocal of a positive rational number can be obtained by interchanging the values of the numerator and the denominator.<\/p>\n\n\n\n<p>Reciprocal of $\\frac{a}{b}(b\\neq 0)$ is $\\frac{b}{a}$.<\/p>\n\n\n\n<p>The product of the positive rational number and its reciprocal is always 1.<\/p>\n\n\n\n<p><strong>Example<\/strong>: Reciprocal of $\\frac{3}{4}$ is $\\frac{4}{3}$.\u00a0<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-facts-about-positive-rational-numbers\">Facts about Positive Rational Numbers<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>0 is a rational number but 0 is not a positive or negative rational number. Rational numbers are classified as positive rational numbers, negative rational numbers, and 0.<\/li>\n\n\n\n<li>Every natural number is a positive rational number.<\/li>\n\n\n\n<li>Note that rational numbers are not closed under division as the division by 0 is not defined. Since the positive rational numbers do not include 0, the set of positive rational numbers is closed under division.<\/li>\n\n\n\n<li>Positive rational numbers are not closed under the subtraction since subtraction of two positive rational numbers may not always be a positive rational number.<\/li>\n\n\n\n<li>There are infinitely many rational numbers between any two rational numbers.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-solved-examples-on-positive-rational-numbers\">Solved Examples on Positive Rational Numbers<\/h2>\n\n\n\n<p><strong>1. Are all whole numbers positive rational numbers?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Whole numbers = {0, 1, 2, 3, 4, \u2026}<\/p>\n\n\n\n<p>0 is not a positive rational number.<\/p>\n\n\n\n<p>Thus, all <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/whole-numbers#:~:text=Whole%20numbers%20include%20all%20natural,2%2C3%2C%E2%80%A6%7D.\">whole numbers<\/a> are not positive rational numbers. Whole numbers except 0 (which are called natural numbers) are positive rational numbers.<\/p>\n\n\n\n<p><strong>2. Is <\/strong>$\\frac{-\\;22}{-\\;25}$<strong> a positive or negative rational number?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>$\\frac{-\\;22}{-\\;25}$<strong> <\/strong>is a positive rational number as both numerator and denominator have negative signs.\u00a0<\/p>\n\n\n\n<p>If we multiply and divide both numerator and denominator by -1, we get&nbsp;<\/p>\n\n\n\n<p>$\\frac{-\\;22 \\times (-\\;1)}{-\\;25 \\times (-\\;1)} = \\frac{22}{25}$<\/p>\n\n\n\n<p>Thus, $\\frac{-22}{-\\;25}$ is a positive rational number.<\/p>\n\n\n\n<p><strong>3. Find the reciprocal of <\/strong>$\\frac{18}{25}$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Reciprocal of $\\frac{a}{b} (b \\neq 0)$ is $\\frac{b}{a}$.<\/p>\n\n\n\n<p>Reciprocal of $\\frac{18}{25} = \\frac{1}{\\frac{18}{25}} = \\frac{25}{18}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-practice-problems-on-positive-rational-numbers\">Practice Problems on Positive Rational Numbers<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Positive Rational Numbers - Definition, Reciprocal, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following is not a positive rational number?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{5}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{2}{-\\;7\u0300}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{-\\;6}{-\\;11}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{6}{711}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{2}{-\\;7\u0300}$<br\/>$\\frac{2}{-\\;7\u0300}$ has opposite signs in numerator and denominator.<br>\r\nSo, it is a negative rational number.<\/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 are positive rational numbers?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0<\/div><div class=\"spq_answer_block\" data-value=\"1\">-1<\/div><div class=\"spq_answer_block\" data-value=\"2\">1<\/div><div class=\"spq_answer_block\" data-value=\"3\">-79<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 1<br\/>All natural numbers are positive rational numbers. So, 1 is a positive rational number.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">0 is a ____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">rational number<\/div><div class=\"spq_answer_block\" data-value=\"1\">positive rational number<\/div><div class=\"spq_answer_block\" data-value=\"2\">negative rational number<\/div><div class=\"spq_answer_block\" data-value=\"3\">natural number<\/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: rational number<br\/>0 is a rational number but not a positive or negative rational number.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The numerator and denominator of positive rational numbers have ___.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">only positive signs<\/div><div class=\"spq_answer_block\" data-value=\"1\">different signs<\/div><div class=\"spq_answer_block\" data-value=\"2\">same signs<\/div><div class=\"spq_answer_block\" data-value=\"3\">all 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: same signs<br\/>The numerator and denominator of positive rational numbers have the same signs, either both positive or both negative.<\/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\": \"Positive Rational Numbers - Definition, Reciprocal, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Positive Rational Numbers\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is not a positive rational number?\",\n                    \"text\": \"Which of the following is not a positive rational number?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\frac{2}{-\\\\;7\u0300}$$ has opposite signs in numerator and denominator.<br>\r\nSo, it is a negative rational number.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{5}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{2}{-\\\\;7\u0300}$$ has opposite signs in numerator and denominator.<br>\r\nSo, it is a negative rational number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{-\\\\;6}{-\\\\;11}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{2}{-\\\\;7\u0300}$$ has opposite signs in numerator and denominator.<br>\r\nSo, it is a negative rational number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{6}{711}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\frac{2}{-\\\\;7\u0300}$$ has opposite signs in numerator and denominator.<br>\r\nSo, it is a negative rational number.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{2}{-\\\\;7\u0300}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\frac{2}{-\\\\;7\u0300}$$ has opposite signs in numerator and denominator.<br>\r\nSo, it is a negative rational number.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\frac{2}{-\\\\;7\u0300}$$ has opposite signs in numerator and denominator.<br>\r\nSo, it is a negative rational number.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following are positive rational numbers?\",\n                    \"text\": \"Which of the following are positive rational numbers?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"All natural numbers are positive rational numbers. So, 1 is a positive rational number.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All natural numbers are positive rational numbers. So, 1 is a positive rational number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"-1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All natural numbers are positive rational numbers. So, 1 is a positive rational number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"-79\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All natural numbers are positive rational numbers. So, 1 is a positive rational number.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"1\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"All natural numbers are positive rational numbers. So, 1 is a positive rational number.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"All natural numbers are positive rational numbers. So, 1 is a positive rational number.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"0 is a ____.\",\n                    \"text\": \"0 is a ____.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"0 is a rational number but not a positive or negative rational number.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"positive rational number\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"0 is a rational number but not a positive or negative rational number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"negative rational number\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"0 is a rational number but not a positive or negative rational number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"natural number\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"0 is a rational number but not a positive or negative rational number.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"rational number\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"0 is a rational number but not a positive or negative rational number.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"0 is a rational number but not a positive or negative rational number.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The numerator and denominator of positive rational numbers have ___.\",\n                    \"text\": \"The numerator and denominator of positive rational numbers have ___.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The numerator and denominator of positive rational numbers have the same signs, either both positive or both negative.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"only positive signs\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The numerator and denominator of positive rational numbers have the same signs, either both positive or both negative.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"different signs\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The numerator and denominator of positive rational numbers have the same signs, either both positive or both negative.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"all of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The numerator and denominator of positive rational numbers have the same signs, either both positive or both negative.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"same signs\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The numerator and denominator of positive rational numbers have the same signs, either both positive or both negative.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The numerator and denominator of positive rational numbers have the same signs, either both positive or both negative.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-frequently-asked-questions-about-positive-rational-numbers\">Frequently Asked Questions about Positive Rational Numbers<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-adce6e47-8652-4f39-be3d-7f6d2af93a8e\" 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-adce6e47-8652-4f39-be3d-7f6d2af93a8e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-adce6e47-8652-4f39-be3d-7f6d2af93a8e\"><strong>Are positive rational numbers closed under addition and multiplication?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-adce6e47-8652-4f39-be3d-7f6d2af93a8e\">\n\n<p>Yes, positive rational numbers are closed under addition and multiplication. When you add or multiply two positive rational numbers, the result is always a positive rational number.<\/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-adce6e47-8652-4f39-be3d-7f6d2af93a8e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-adce6e47-8652-4f39-be3d-7f6d2af93a8e\"><strong>Is zero a positive rational number?<\/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-adce6e47-8652-4f39-be3d-7f6d2af93a8e\">\n\n<p>No. 0 is a rational number but 0 is neither negative nor positive.<\/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-adce6e47-8652-4f39-be3d-7f6d2af93a8e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-adce6e47-8652-4f39-be3d-7f6d2af93a8e\"><strong>What is the product of two negative rational 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-adce6e47-8652-4f39-be3d-7f6d2af93a8e\">\n\n<p>The product of two negative rational numbers will always be a positive rational number.<\/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-adce6e47-8652-4f39-be3d-7f6d2af93a8e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-adce6e47-8652-4f39-be3d-7f6d2af93a8e\"><strong>Can rational numbers be positive?<\/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-adce6e47-8652-4f39-be3d-7f6d2af93a8e\">\n\n<p>Rational numbers can be categorized into positive, zero, or negative rational numbers.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are Positive Rational Numbers? A positive rational number is a rational number in which both numerator and denominator have the same sign. In other words, positive rational numbers are rational numbers in which both the numerator and the denominator can be either positive integers or negative integers. Positive rational numbers examples: $\\frac{3}{7},\\;\\frac{4}{5},\\;\\frac{-\\;12}{-\\;19}$, etc. What &#8230; <a title=\"Positive Rational Numbers &#8211; Definition, Reciprocal, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/positive-rational-numbers\" aria-label=\"More on Positive Rational Numbers &#8211; Definition, Reciprocal, 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-35233","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\/35233","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=35233"}],"version-history":[{"count":8,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/35233\/revisions"}],"predecessor-version":[{"id":35254,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/35233\/revisions\/35254"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=35233"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=35233"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=35233"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}