{"id":2231,"date":"2026-05-26T16:57:11","date_gmt":"2026-05-26T11:27:11","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=2231"},"modified":"2026-05-26T16:57:14","modified_gmt":"2026-05-26T11:27:14","slug":"ncert-class-9-maths-exercise-3-1-solutions-the-world-of-numbers","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/ncert-class-9-maths-exercise-3-1-solutions-the-world-of-numbers\/","title":{"rendered":"NCERT Class 9 Maths Exercise 3.1 Solutions \u2013 The World of Numbers"},"content":{"rendered":"<div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2231?print=pdf\" class=\"pdfprnt-button pdfprnt-button-pdf\" target=\"_blank\" ><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/pdf.png\" alt=\"image_pdf\" title=\"Download PDF\" \/><span class=\"pdfprnt-button-title pdfprnt-button-pdf-title\">Save as PDF<\/span><\/a><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2231?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\" ><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\" \/><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\">3<\/span><\/div>\n<h2 class=\"wp-block-heading\">Short Intro<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Exercise 3.1 introduces students to the origin of numbers, natural numbers, prime numbers, and properties of number systems. These questions help learners understand how mathematics developed from practical human needs such as counting, trading, and measuring. Below are the detailed step-by-step solutions in simple English for easy understanding and direct publishing on educational portals.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Quick Information Box<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Topic<\/th><th>Details<\/th><\/tr><\/thead><tbody><tr><td>Chapter<\/td><td>The World of Numbers<\/td><\/tr><tr><td>Exercise<\/td><td>3.1<\/td><\/tr><tr><td>Class<\/td><td>Grade 9<\/td><\/tr><tr><td>Main Concepts<\/td><td>Natural Numbers, Prime Numbers, Closure Property<\/td><\/tr><tr><td>Difficulty Level<\/td><td>Easy to Moderate<\/td><\/tr><tr><td>Useful For<\/td><td>School Exams &amp; Foundation Preparation<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Concepts Used (Topics Covered)<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Natural Numbers<\/li>\n\n\n\n<li>Prime Numbers<\/li>\n\n\n\n<li>Ratio and Proportion<\/li>\n\n\n\n<li>Closure Property of Numbers<\/li>\n\n\n\n<li>Subtraction in Natural Numbers<\/li>\n\n\n\n<li>Base-12 Counting System<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Important Formulas<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Ratio Formula<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mtext>Required&nbsp;Quantity<\/mtext><mo>=<\/mo><mfrac><mtext>Given&nbsp;Quantity<\/mtext><mtext>Given&nbsp;Ratio<\/mtext><\/mfrac><mo>\u00d7<\/mo><mtext>Required&nbsp;Ratio<\/mtext><\/mrow><annotation encoding=\"application\/x-tex\">\\text{Required Quantity} = \\frac{\\text{Given Quantity}}{\\text{Given Ratio}} \\times \\text{Required Ratio}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>Prime Number<br>A number greater than 1 having exactly two factors: 1 and itself.<\/li>\n\n\n\n<li>Closure Property<br>A set is closed under an operation if the result always belongs to the same set.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Questions &amp; Step-by-Step Solutions<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Question 1<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A merchant in the port city of Lothal is exchanging bags of spices for copper ingots. He receives 15 ingots for every 2 bags of spices. If he brings 12 bags of spices to the market, how many copper ingots will he leave with?<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 bags of spices = 15 copper ingots<\/li>\n\n\n\n<li>12 bags of spices = ?<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Using proportion:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mfrac><mn>15<\/mn><mn>2<\/mn><\/mfrac><mo>\u00d7<\/mo><mn>12<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{15}{2} \\times 12<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo>=<\/mo><mn>15<\/mn><mo>\u00d7<\/mo><mn>6<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">= 15 \\times 6<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo>=<\/mo><mn>90<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">= 90<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The merchant will receive <strong>90 copper ingots<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Question 2<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Look at the sequence of numbers on one column of the Ishango bone: 11, 13, 17, 19. What do these numbers have in common? List the next three numbers that fit this pattern.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The numbers:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">11, 13, 17, 19<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">All these numbers are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Prime numbers<\/li>\n\n\n\n<li>Greater than 10 and less than 20<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The next prime numbers after 19 are:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">23, 29, 31<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">These are <strong>prime numbers<\/strong>.<br>The next three numbers are:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>23<\/mn><mo separator=\"true\">,<\/mo><mtext>&nbsp;<\/mtext><mn>29<\/mn><mo separator=\"true\">,<\/mo><mtext>&nbsp;<\/mtext><mn>31<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">23,\\ 29,\\ 31<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Question 3<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">We know that Natural Numbers are closed under addition. Are they closed under subtraction? Provide examples to justify your answer.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Natural numbers are:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi mathvariant=\"double-struck\">N<\/mi><mo>=<\/mo><mo stretchy=\"false\">{<\/mo><mn>1<\/mn><mo separator=\"true\">,<\/mo><mn>2<\/mn><mo separator=\"true\">,<\/mo><mn>3<\/mn><mo separator=\"true\">,<\/mo><mn>4<\/mn><mo separator=\"true\">,<\/mo><mo>\u2026<\/mo><mo stretchy=\"false\">}<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\mathbb{N} = \\{1,2,3,4,\\ldots\\}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To check closure under subtraction, we subtract two natural numbers.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 1<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>8<\/mn><mo>\u2212<\/mo><mn>3<\/mn><mo>=<\/mo><mn>5<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">8 &#8211; 3 = 5<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Here, 5 is a natural number.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 2<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>3<\/mn><mo>\u2212<\/mo><mn>8<\/mn><mo>=<\/mo><mo>\u2212<\/mo><mn>5<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">3 &#8211; 8 = -5<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">But <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo>\u2212<\/mo><mn>5<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">-5<\/annotation><\/semantics><\/math> is <strong>not<\/strong> a natural number.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, subtraction does not always produce a natural number.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Natural numbers are <strong>not closed under subtraction<\/strong> because subtraction may produce negative numbers.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Question 4<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Ancient Indians used the joints of their fingers to count. Each finger has 3 joints, and the thumb is used to count them. How many can you count on one hand? How does this relate to the ancient base-12 counting systems?<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">On one hand:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>There are 4 fingers used for counting.<\/li>\n\n\n\n<li>Each finger has 3 joints.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Total joints:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>4<\/mn><mo>\u00d7<\/mo><mn>3<\/mn><mo>=<\/mo><mn>12<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">4 \\times 3 = 12<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, one hand can count up to:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>12<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">12<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is related to the ancient <strong>base-12 system<\/strong> because counting finger joints naturally gives a total of 12.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">One hand can count up to <strong>12<\/strong> using finger joints. This explains the origin of the ancient <strong>base-12 counting system<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Common Mistakes<\/h1>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Confusing prime numbers with odd numbers.<\/li>\n\n\n\n<li>Forgetting that negative numbers are not natural numbers.<\/li>\n\n\n\n<li>Using wrong proportion methods in Question 1.<\/li>\n\n\n\n<li>Counting thumb joints in Question 4 incorrectly.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Exam Tips<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always check whether the result belongs to the given number set.<\/li>\n\n\n\n<li>Remember: Prime numbers have exactly two factors.<\/li>\n\n\n\n<li>Learn closure properties carefully because they are frequently asked in exams.<\/li>\n\n\n\n<li>Use step-by-step calculations for better presentation.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Practice MCQs<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">1. Which of the following is a prime number?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A. 15<br>B. 21<br>C. 29<br>D. 35<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 Answer: <strong>29<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">2. Natural numbers are closed under:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A. Subtraction<br>B. Division<br>C. Addition<br>D. None<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 Answer: <strong>Addition<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">3. What is the result of <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mn>5<\/mn><mo>\u2212<\/mo><mn>9<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">5 &#8211; 9<\/annotation><\/semantics><\/math>?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A. 4<br>B. -4<br>C. 14<br>D. 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 Answer: <strong>-4<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">4. How many joints are counted on one hand in the ancient counting system?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A. 8<br>B. 10<br>C. 12<br>D. 15<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 Answer: <strong>12<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">FAQ Section<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Q1. What are natural numbers?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Natural numbers are counting numbers:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>1<\/mn><mo separator=\"true\">,<\/mo><mn>2<\/mn><mo separator=\"true\">,<\/mo><mn>3<\/mn><mo separator=\"true\">,<\/mo><mn>4<\/mn><mo separator=\"true\">,<\/mo><mo>\u2026<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">1,2,3,4,\\ldots<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Q2. Are natural numbers closed under division?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">No. Example:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>3<\/mn><mo>\u00f7<\/mo><mn>2<\/mn><mo>=<\/mo><mn>1.5<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">3 \\div 2 = 1.5<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">which is not a natural number.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Q3. What is a prime number?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A prime number has exactly two factors: 1 and itself.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Example: 2, 3, 5, 7<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Q4. Why is subtraction not closed for natural numbers?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Because subtraction can produce negative numbers which are not natural numbers.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Q5. What is the base-12 system?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A counting system based on 12 instead of 10 is called the base-12 system.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">For more Class 9 Mathematics solutions, chapter-wise explanations, MCQs, and mock tests, visit <strong><a>www.mymockmate.com<\/a><\/strong> and boost your exam preparation with smart learning resources.<\/p>\n<div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2231?print=pdf\" class=\"pdfprnt-button pdfprnt-button-pdf\" target=\"_blank\" ><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/pdf.png\" alt=\"image_pdf\" title=\"Download PDF\" \/><span class=\"pdfprnt-button-title pdfprnt-button-pdf-title\">Save as PDF<\/span><\/a><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2231?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\" ><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\" \/><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\">3<\/span><\/div>\n    <div class=\"xs_social_share_widget xs_share_url after_content \t\tmain_content  wslu-style-1 wslu-share-box-shaped wslu-fill-colored wslu-none wslu-share-horizontal wslu-theme-font-no wslu-main_content\">\n\n\t\t\n        <ul>\n\t\t\t        <\/ul>\n    <\/div> \n","protected":false},"excerpt":{"rendered":"<p> 3 Short Intro Exercise 3.1 introduces students to the origin of numbers, natural numbers, prime<\/p>\n","protected":false},"author":1,"featured_media":2232,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_surecart_dashboard_logo_width":"180px","_surecart_dashboard_show_logo":true,"_surecart_dashboard_navigation_orders":true,"_surecart_dashboard_navigation_invoices":true,"_surecart_dashboard_navigation_subscriptions":true,"_surecart_dashboard_navigation_downloads":true,"_surecart_dashboard_navigation_billing":true,"_surecart_dashboard_navigation_account":true,"postBodyCss":"","postBodyMargin":[],"postBodyPadding":[],"postBodyBackground":{"backgroundType":"classic","gradient":""},"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[22,4,11],"tags":[903,899,139,911,894,915,136,898,909,912,907,895,892,685,905,904,913,901,464,908,896,53,906,900,914,897,902,910,673,893],"class_list":["post-2231","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse","category-class-9","category-maths-class-9","tag-ancient-mathematics","tag-base-12-system","tag-cbse-class-9-maths","tag-cbse-mathematics-chapter-3","tag-class-9-chapter-3","tag-class-9-exercise-answers","tag-class-9-maths","tag-closure-property","tag-easy-maths-explanation","tag-educational-maths-content","tag-exam-preparation-maths","tag-exercise-3-1-answer-key","tag-exercise-3-1-solutions","tag-grade-9-mathematics","tag-ishango-bone-numbers","tag-lothal-mathematics","tag-math-practice-questions","tag-mathematics-exercise-solutions","tag-maths-mcqs","tag-maths-notes","tag-natural-numbers","tag-ncert-maths-solutions","tag-number-concepts","tag-number-system-chapter","tag-number-system-solutions","tag-prime-numbers","tag-rational-numbers-basics","tag-school-maths-solutions","tag-step-by-step-maths-solutions","tag-the-world-of-numbers"],"jetpack_publicize_connections":[],"_links":{"self":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2231","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/comments?post=2231"}],"version-history":[{"count":1,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2231\/revisions"}],"predecessor-version":[{"id":2233,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2231\/revisions\/2233"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media\/2232"}],"wp:attachment":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media?parent=2231"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/categories?post=2231"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/tags?post=2231"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}