{"id":29249,"date":"2022-02-16T20:41:01","date_gmt":"2022-02-16T15:11:01","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=29249"},"modified":"2025-02-01T17:52:16","modified_gmt":"2025-02-01T12:22:16","slug":"rational-numbers-class-8-extra-questions-maths-chapter-1","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-material\/class-8\/maths\/rational-numbers-class-8-extra-questions-maths-chapter-1\/","title":{"rendered":"Rational Numbers Class 8 Extra Questions and Answers Maths Chapter 1"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/class-8\/maths\/rational-numbers-class-8-extra-questions-maths-chapter-1\/#Important_Rational_Numbers_Questions_for_Class_8\" title=\"Important Rational Numbers Questions for Class 8\">Important Rational Numbers Questions for Class 8<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/class-8\/maths\/rational-numbers-class-8-extra-questions-maths-chapter-1\/#Rational_Numbers_Class_8_Extra_Questions_Maths_Chapter_1\" title=\"Rational Numbers Class 8 Extra Questions Maths Chapter 1\">Rational Numbers Class 8 Extra Questions Maths Chapter 1<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/class-8\/maths\/rational-numbers-class-8-extra-questions-maths-chapter-1\/#Rational_Number_Class_8_Extra_Questions_Very_Short_Answer_Type\" title=\"Rational Number Class 8 Extra Questions Very Short Answer Type\">Rational Number Class 8 Extra Questions Very Short Answer Type<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/class-8\/maths\/rational-numbers-class-8-extra-questions-maths-chapter-1\/#Rational_Numbers_Class_8_Extra_Questions_Short_Answer_Type\" title=\"Rational Numbers Class 8 Extra Questions Short Answer Type\">Rational Numbers Class 8 Extra Questions Short Answer Type<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/class-8\/maths\/rational-numbers-class-8-extra-questions-maths-chapter-1\/#Rational_Numbers_Class_8_Extra_Questions_Higher_Order_Thinking_Skills\" title=\"Rational Numbers Class 8 Extra Questions Higher Order Thinking Skills\">Rational Numbers Class 8 Extra Questions Higher Order Thinking Skills<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>Rational numbers are a fundamental concept in Class 8 Maths Chapter 1, essential for understanding the number system. A rational number is any number that can be written in the form p\/q, where p and q are integers, and q \u2260 0. This chapter introduces students to the properties, operations, and applications of rational numbers.<\/p>\n<p>To help students practice and master this topic, we have compiled a variety of rational numbers Class 8 extra questions along with worksheets and test papers. These extra questions for Class 8 Maths will enhance problem-solving skills and build confidence in answering different types of rational numbers questions.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Important_Rational_Numbers_Questions_for_Class_8\"><\/span>Important Rational Numbers Questions for Class 8<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>What is a rational number? Explain with an example.<\/li>\n<li>Find five rational numbers between 3 and 4.<\/li>\n<li>Is 0 a rational number? Justify your answer.<\/li>\n<li>Express -7\/5 in decimal form.<\/li>\n<li>Compare and arrange the rational numbers 3\/7, -2\/5, and 4\/9 in ascending order.<\/li>\n<\/ol>\n<p>These rational numbers extra questions for Class 8 will help in revising key concepts and preparing for exams. You can also refer to rational numbers Class 8 worksheet with answers for additional practice.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Rational_Numbers_Class_8_Extra_Questions_Maths_Chapter_1\"><\/span>Rational Numbers Class 8 Extra Questions Maths Chapter 1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"Rational_Number_Class_8_Extra_Questions_Very_Short_Answer_Type\"><\/span>Rational Number Class 8 Extra Questions Very Short Answer Type<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 1. Pick up the rational numbers from the following numbers.<\/strong><\/p>\n<p><strong>\\(\\frac { 6 }{ 7 }\\), \\(\\frac { -1 }{ 2 }\\), 0, \\(\\frac { 1 }{ 0 }\\), \\(\\frac { 100 }{ 0 }\\)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Since rational numbers are in the form of \\(\\frac { a }{ b }\\) where b \u2260 0.<\/p>\n<p>Only \\(\\frac { 6 }{ 7 }\\), \\(\\frac { -1 }{ 2 }\\) and 0 are the rational numbers.<\/p>\n<p><strong>Question 2. Find the reciprocal of the following rational numbers:<\/strong><\/p>\n<p><strong>(a) \\(\\frac { -3 }{ 4 }\\)<\/strong><\/p>\n<p><strong>(b) 0<\/strong><\/p>\n<p><strong>(c) \\(\\frac { 6 }{ 11 }\\)<\/strong><\/p>\n<p><strong>(d) \\(\\frac { 5 }{ -9 }\\)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>(a) Reciprocal of \\(\\frac { -3 }{ 4 }\\) is \\(\\frac { -4 }{ 3 }\\)<\/p>\n<p>(b) Reciprocal of 0, i.e. \\(\\frac { 1 }{ 0 }\\) is not defined.<\/p>\n<p>(c) Reciprocal of \\(\\frac { 6 }{ 11 }\\) is \\(\\frac { 11 }{ 6 }\\)<\/p>\n<p>(d) Reciprocal of \\(\\frac { 5 }{ -9 }\\) = \\(\\frac { -9 }{ 5 }\\)<\/p>\n<p><a href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep\" target=\"_blank\" rel=\"noopener\"><button class=\"favorite styled\" style=\"width: 100%;\" type=\"button\"> <input class=\"more\" type=\"button\" value=\"Download\" \/> <strong>NCERT Solutions for Class 8 PDF<\/strong><\/button><\/a><\/p>\n<p><strong>Question 3. <\/strong><strong>Write two such rational numbers whose multiplicative inverse is same as they are.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Reciprocal of 1 = \\(\\frac { 1 }{ 1 }\\) = 1<\/p>\n<p>Reciprocal of -1 = \\(\\frac { 1 }{ -1 }\\) = -1<\/p>\n<p>Hence, the required rational numbers are -1 and 1.<\/p>\n<p><strong>Question 4. <\/strong><strong>What properties, the following expressions show?<\/strong><\/p>\n<p><strong>(i) \\(\\frac { 2 }{ 3 } +\\frac { 4 }{ 5 } =\\frac { 4 }{ 5 } +\\frac { 2 }{ 3 }\\)<\/strong><\/p>\n<p><strong>(ii) \\(\\frac { 1 }{ 3 } \\times \\frac { 2 }{ 3 } =\\frac { 2 }{ 3 } \\times \\frac { 1 }{ 3 }\\)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>(i) \\(\\frac { 2 }{ 3 } +\\frac { 4 }{ 5 } =\\frac { 4 }{ 5 } +\\frac { 2 }{ 3 }\\) shows the commutative property of addition of rational numbers.<\/p>\n<p>(ii) \\(\\frac { 1 }{ 3 } \\times \\frac { 2 }{ 3 } =\\frac { 2 }{ 3 } \\times \\frac { 1 }{ 3 }\\) shows the commutative property of multiplication of rational numbers.<\/p>\n<p><strong>Question 5. What is the multiplicative identity of rational numbers?<\/strong><\/p>\n<p><strong>Solution:<\/strong> 1 is the multiplicating identity of rational numbers.<\/p>\n<p><strong>Question 6. What is the additive identity of rational numbers?<\/strong><\/p>\n<p><strong>Solution:<\/strong> 0 is the additive identity of rational numbers.<\/p>\n<div class=\"card\" style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/online-courses-cbse-class-8?utm_source=surge&amp;utm_medium=interlinking\"><br \/>\n<img loading=\"lazy\" class=\"lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-8-cbse-foundation-course.png\" alt=\"class 8 cbse foundation course\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-8-cbse-foundation-course.png\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/online-courses-cbse-class-8?utm_source=surge&amp;utm_medium=interlinking\"><br \/>\n<button><strong>Class 8 CBSE Foundation Course<\/strong><\/button><br \/>\n<\/a><\/p>\n<div style=\"text-align: left;\">The Class 8 CBSE Foundation Course is designed to be the most competitive educational program in India, providing an exceptional online learning experience. Our focused batch encompasses all crucial subjects, ensuring comprehensive preparation for students.<\/div>\n<\/div>\n<p><strong>Question 7. If a = \\(\\frac { 1 }{ 2 }\\), b = \\(\\frac { 3 }{ 4 }\\), verify the following:<\/strong><\/p>\n<p><strong>(i) a \u00d7 b = b \u00d7 a<\/strong><\/p>\n<p><strong>(ii) a + b = b + a<\/strong><\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956865698_8738d77662_o.png\" alt=\"Maths Rational Numbers Q7\" width=\"282\" height=\"363\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956894181_621f42b549_o.png\" alt=\" Class 8 Maths Rational Numbers Q7.1\" width=\"258\" height=\"88\" \/><\/p>\n<p><strong>Question 8. Multiply \\(\\frac { 5 }{ 8 }\\) by the reciprocal of \\(\\frac { -3 }{ 8 }\\)<\/strong><\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956894201_ff688bd3d4_o.png\" alt=\"Numbers Q8\" width=\"194\" height=\"109\" \/><\/p>\n<p><strong>Question 9. Find a rational number between \\(\\frac { 1 }{ 2 }\\) and \\(\\frac { 1 }{ 3 }\\).<\/strong><\/p>\n<p><strong>Solution:<\/strong> Rational number between<\/p>\n<p><strong>Also Read: <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-8\/maths\/chapter-10-direct-and-inverse-proportions\/\" target=\"_blank\" rel=\"noopener\">NCERT Exemplar Solutions Class 8 Maths Solutions Chapter 10 Direct &amp; Inverse Proportions<\/a><\/strong><\/p>\n<p><strong>Question 10. Write the additive inverse of the following:<\/strong><\/p>\n<p><strong>(a) \\(\\frac { -6 }{ 7 }\\)<\/strong><\/p>\n<p><strong>(b) \\(\\frac { 101 }{ 213 }\\)<\/strong><\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956894246_aa7728a562_o.png\" alt=\" Rational Numbers Q10\" width=\"323\" height=\"110\" \/><\/p>\n<p><strong>Question 11. Write any 5 rational numbers between \\(\\frac { -5 }{ 6 }\\) and \\(\\frac { 7 }{ 8 }\\). (NCERT Exemplar)<\/strong><\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956894271_a295345bb6_o.png\" alt=\"Extra Questions for Class 8\" width=\"372\" height=\"181\" \/><\/p>\n<p><strong>Question 12. Identify the rational number which is different from the other three : \\(\\frac { 2 }{ 3 }\\), \\(\\frac { -4 }{ 5 }\\), \\(\\frac { 1 }{ 2 }\\), \\(\\frac { 1 }{ 3 }\\). Explain your reasoning.<\/strong><\/p>\n<p><strong>Solution:<\/strong> \\(\\frac { -4 }{ 5 }\\) is the rational number which is different from the other three, as it lies on the left side of zero while others lie on the right side of zero on the number line.<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td style=\"text-align: center;\" colspan=\"2\"><strong>More Resources \u2013 <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-8\/\">NCERT Solutions for Class 8<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-8\/science\/\"><strong>NCERT Solutions for Class 8 Science<\/strong><\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-8\/social-science\/\"><strong>NCERT Solutions for Class 8 Social Science<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-8\/english\/\"><strong>NCERT Solutions for Class 8 English<\/strong><\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-8\/maths\/\"><strong>NCERT Solutions for Class 8 Maths<\/strong><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"Rational_Numbers_Class_8_Extra_Questions_Short_Answer_Type\"><\/span>Rational Numbers Class 8 Extra Questions Short Answer Type<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 13. Calculate the following:<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956865878_4f471c16c1_o.png\" alt=\" Numbers Q13\" width=\"346\" height=\"55\" \/><br \/>\n<strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956863357_f59e8d158c_o.png\" alt=\"Q13.1\" width=\"372\" height=\"134\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956865918_b1fe9ce89e_o.png\" alt=\"Class 8 Maths Rational Numbers Q13.2\" width=\"261\" height=\"124\" \/><\/p>\n<p><strong>Question 14. Represent the following rational numbers on number lines.<\/strong><\/p>\n<p><strong>(a) \\(\\frac { -2 }{ 3 }\\)<\/strong><\/p>\n<p><strong>(b) \\(\\frac { 3 }{ 4 }\\)<\/strong><\/p>\n<p><strong>(c) \\(\\frac { 3 }{ 2 }\\)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>Question 15. Find 7 rational numbers between \\(\\frac { 1 }{ 3 }\\) and \\(\\frac { 1 }{ 2 }\\).<\/strong><\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956852782_51d3c127da_o.png\" alt=\"Numbers Q15\" width=\"379\" height=\"373\" \/><\/p>\n<p><strong>Question 16. Show that:<\/strong><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956852792_5ab72299a4_o.png\" alt=\"Rational Numbers Q16\" width=\"320\" height=\"58\" \/><br \/>\n<strong>Solution:<\/strong><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956866013_aefa9277bf_o.png\" alt=\"Extra Questions for Class 8\" width=\"329\" height=\"356\" \/><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/foundation-course-for-class-8?utm_source=surge&amp;utm_medium=interlinking\" target=\"_blank\" rel=\"noopener\"><button><strong>Enroll now to Online Class 8 Foundation Course<\/strong><\/button><\/a><\/p>\n<p><strong>Question 17. If x = \\(\\frac { 1 }{ 2 }\\), y = \\(\\frac { -2 }{ 3 }\\) and z = \\(\\frac { 1 }{ 4 }\\), verify that x \u00d7 (y \u00d7 z) = (x \u00d7 y) \u00d7 z.<\/strong><\/p>\n<p><strong>Solution:<\/strong> We have x = \\(\\frac { 1 }{ 2 }\\), y = \\(\\frac { -2 }{ 3 }\\) and z = \\(\\frac { 1 }{ 4 }\\)<\/p>\n<p>LHS = x \u00d7 (y \u00d7 z)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956852837_bb4926ebfd_o.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers Q17\" width=\"320\" height=\"271\" \/><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/foundation-course-for-class-8\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/08\/foundation-class-6.png\" alt=\"Class 8 Foundation Course\" width=\"450\" height=\"300\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/foundation-course-for-class-8\" target=\"_blank\" rel=\"noopener\"><button><strong>Enroll now to Online Class 8 Foundation Course<\/strong><\/button><\/a><\/p>\n<p><strong>Question 18. If the cost of 4\\(\\frac { 1 }{ 2 }\\) litres of milk is \u20b989\\(\\frac { 1 }{ 2 }\\), find the cost of 1 litre of milk.<\/strong><\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956866043_45fa879e7e_o.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers Q18\" width=\"319\" height=\"306\" \/><\/p>\n<p><strong>Question 19. The product of two rational numbers is \\(\\frac { 15 }{ 56 }\\). If one of the numbers is \\(\\frac { -5 }{ 48 }\\), find the other.<\/strong><\/p>\n<p><strong>Solution:<\/strong> Product of two rational numbers = \\(\\frac { 15 }{ 56 }\\)<\/p>\n<p>One number = \\(\\frac { -5 }{ 48 }\\)<\/p>\n<p>Other number = Product \u00f7 First number<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956894551_379f1f322c_o.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers Q19\" width=\"217\" height=\"115\" \/><\/p>\n<p>Hence, the other number = \\(\\frac { -18 }{ 7 }\\)<\/p>\n<p><strong>Question 20. Let O, P and Z represent the numbers 0, 3 and -5 respectively on the number line. Points Q, R and S are between O and P such that OQ = QR = RS = SP. (NCERT Exemplar)<\/strong><\/p>\n<p><strong>What are the rational numbers represented by the points Q, R and S. Next choose a point T between Z and 0 so that ZT = TO. Which rational number does T represent?<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956852887_10e2126404_o.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers Q20\" width=\"351\" height=\"54\" \/><br \/>\nAs OQ = QR = RS = SP and OQ + QR + RS + SP = OP<\/p>\n<p>therefore Q, R and S divide OP into four equal parts.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956852927_d9192d5664_o.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers Q20.1\" width=\"378\" height=\"295\" \/><\/p>\n<p><strong>Question 21. Let a, b, c be the three rational numbers where a = \\(\\frac { 2 }{ 3 }\\), b = \\(\\frac { 4 }{ 5 }\\) and c = \\(\\frac { -5 }{ 6 }\\) (NCERT Exemplar)<\/strong><\/p>\n<p><strong>Verify:<\/strong><\/p>\n<p><strong>(i) a + (b + c) = (a + b) + c (Associative property of addition)<\/strong><\/p>\n<p><strong>(ii) a \u00d7 (b \u00d7 c) \u2013 (a \u00d7 b) \u00d7 c (Associative property of multiplication)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956894131_e925f3fc1d_o.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers Q21\" width=\"342\" height=\"380\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956852487_7e6c8a0d2f_o.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers Q21.1\" width=\"339\" height=\"544\" \/><\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td style=\"text-align: center;\" colspan=\"2\"><strong>CBSE Syllabus for Class 8<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-8-science-syllabus\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE Class 8 Science Syllabus<\/strong><\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-8-information-technology-syllabus\/\"><strong>CBSE Class 8 Information Technology Syllabus<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-8-social-science-syllabus\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE Class 8 Social Science Syllabus<\/strong><\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-8-maths-syllabus\/\"><strong>CBSE Class 8 Maths Syllabus<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-8-hindi-syllabus\/\"><strong>CBSE Class 8 Hindi Syllabus<\/strong><\/a><\/td>\n<td style=\"text-align: center;\"><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-8-english-syllabus\/\"><strong>CBSE Class 8 English Syllabus<\/strong><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"Rational_Numbers_Class_8_Extra_Questions_Higher_Order_Thinking_Skills\"><\/span>Rational Numbers Class 8 Extra Questions Higher Order Thinking Skills<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 22. Rajni had a certain amount of money in her purse. She spent \u20b9 10\\(\\frac { 1 }{ 4 }\\) in the school canteen, bought a gift worth \u20b9 25\\(\\frac { 3 }{ 4 }\\) and gave \u20b9 16\\(\\frac { 1 }{ 2 }\\) to her friend. How much she have to begin with?<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Amount given to school canteen = \u20b9 10\\(\\frac { 1 }{ 4 }\\)<\/p>\n<p>Amount given to buy gift = \u20b9 25\\(\\frac { 3 }{ 4 }\\)<\/p>\n<p>Amount given to her friend = \u20b9 16\\(\\frac { 1 }{ 2 }\\)<\/p>\n<p>To begin with Rajni had<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956894086_6b62fa0cb9_o.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers Q22\" width=\"229\" height=\"221\" \/><\/p>\n<p><strong>Question 23. <\/strong><strong>One-third of a group of people are men. If the number of women is 200 more than the men, find the total number of people.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Number of men in the group = \\(\\frac { 1 }{ 3 }\\) of the group<\/p>\n<p>Number of women = 1 \u2013 \\(\\frac { 1 }{ 3 }\\) = \\(\\frac { 2 }{ 3 }\\)<\/p>\n<p>Difference between the number of men and women = \\(\\frac { 2 }{ 3 }\\) \u2013 \\(\\frac { 1 }{ 3 }\\) = \\(\\frac { 1 }{ 3 }\\)<\/p>\n<p>If difference is \\(\\frac { 1 }{ 3 }\\), then total number of people = 1<\/p>\n<p>If difference is 200, then total number of people<\/p>\n<p>= 200 \u00f7 \\(\\frac { 1 }{ 3 }\\)<\/p>\n<p>= 200 \u00d7 3 = 600<\/p>\n<p>Hence, the total number of people = 600<\/p>\n<p><strong>Question 24. <\/strong><strong>Fill in the blanks:<\/strong><\/p>\n<p><strong>(a) Numbers of rational numbers between two rational numbers is \u2026\u2026\u2026.<\/strong><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47956865608_94ea85970c_o.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers Q24\" width=\"372\" height=\"414\" \/><br \/>\n<strong>Solution<\/strong>:<\/p>\n<p>(a) Countless<\/p>\n<p>(b) \\(\\frac { 6 }{ 11 }\\)<\/p>\n<p>(c) \\(\\frac { -3 }{ 2 }\\)<\/p>\n<p>(d) \\(\\frac { 3 }{ 5 }\\)<\/p>\n<p>(e) Commutative<\/p>\n<p>(f) associative<\/p>\n<p>(g) equivalent<\/p>\n<p>(h) \\(\\frac { 3 }{ 11 }\\)<\/p>\n<p><img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-01.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers 01\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-02.png\" alt=\"Maths Extra Questions for Class 8 Rationa Numbers\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-03.png\" alt=\"NCERT Solutions for Class 8 Maths Rational Numbers Extra Questions\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-04.png\" alt=\"Rational Numbers Extra Questions for Class 8 Maths 1\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-05.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers 05\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-06.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers 06\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-07.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers 07\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-08.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers 08\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-09.png\" alt=\"Extra Questions for Class 8 Maths Rational Numbers 09\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-10.png\" alt=\" Numbers 10\" width=\"575\" height=\"369\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-11.png\" alt=\"Rational Numbers 2\" width=\"574\" height=\"380\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-12.png\" alt=\"Maths Extra\" width=\"565\" height=\"275\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-13.png\" alt=\"Rationa Numbers 4\" width=\"568\" height=\"614\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-14.png\" alt=\"Rational Numbers 09\" width=\"578\" height=\"323\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-15.png\" alt=\"Extra Questions\" width=\"574\" height=\"379\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-16.png\" alt=\"Maths Extra Questions \" width=\"564\" height=\"170\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-17.png\" alt=\"Maths Extra Questions\" width=\"557\" height=\"687\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-18.png\" alt=\" Rationa Numbers 7\" width=\"563\" height=\"269\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/rational-numbers-ncert-extra-questions-for-class-8-maths-chapter-1-19.png\" alt=\"Extra Questions \" width=\"572\" height=\"547\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rational numbers are a fundamental concept in Class 8 Maths Chapter 1, essential for understanding the number system. A rational [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Rational Numbers Class 8 Extra Questions","_yoast_wpseo_title":"Rational Numbers Class 8 Maths Extra Questions and Answers Chapter 1","_yoast_wpseo_metadesc":"\"Get Rational Numbers Class 8 Extra Questions Maths Chapter 1. To know more Questions, please visit us at infinitylearn.com","custom_permalink":"study-material\/class-8\/maths\/rational-numbers-class-8-extra-questions-maths-chapter-1\/"},"categories":[13,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Rational Numbers Class 8 Maths Extra Questions and Answers Chapter 1<\/title>\n<meta name=\"description\" content=\"&quot;Get Rational Numbers Class 8 Extra Questions Maths Chapter 1. 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