{"id":3226,"date":"2026-06-03T12:44:35","date_gmt":"2026-06-03T07:14:35","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=3226"},"modified":"2026-06-04T11:44:32","modified_gmt":"2026-06-04T06:14:32","slug":"ncert-class-9-maths-exercise-3-4-solutions-rational-numbers","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/ncert-class-9-maths-exercise-3-4-solutions-rational-numbers\/","title":{"rendered":"NCERT Class 9 Maths Exercise 3.4 Solutions | Rational 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\/3226?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\">1<\/span><\/div>\n<h2 class=\"wp-block-heading\">Short Introduction<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Exercise 3.4 focuses on the representation of rational numbers on the number line, finding rational numbers between given numbers, operations involving rational numbers, and understanding the density property of rational numbers. These concepts help students visualize rational numbers and strengthen their understanding of fractions and number systems.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The detailed solutions provided by <strong><a href=\"http:\/\/www.mymockmate.com\/\">www.mymockmate.com<\/a><\/strong> explain every question step-by-step, making learning simple and exam-oriented.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Quick Information Box<\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Particular<\/th><th>Details<\/th><\/tr><\/thead><tbody><tr><td>Chapter<\/td><td>The World of Numbers<\/td><\/tr><tr><td>Exercise<\/td><td>3.4<\/td><\/tr><tr><td>Topic<\/td><td>Rational Numbers on Number Line<\/td><\/tr><tr><td>Grade<\/td><td>9<\/td><\/tr><tr><td>Subject<\/td><td>Mathematics<\/td><\/tr><tr><td>Difficulty Level<\/td><td>Easy to Moderate<\/td><\/tr><tr><td>Key Skills<\/td><td>Number Line Representation, Rational Numbers, Fractions<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Concepts Used (Topics Covered)<\/h1>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Representation of Rational Numbers on a Number Line<\/li>\n\n\n\n<li>Positive and Negative Rational Numbers<\/li>\n\n\n\n<li>Mixed Fractions and Improper Fractions<\/li>\n\n\n\n<li>Finding Rational Numbers Between Two Numbers<\/li>\n\n\n\n<li>Density Property of Rational Numbers<\/li>\n\n\n\n<li>Decimal Representation of Rational Numbers<\/li>\n\n\n\n<li>Mean (Average) Method<\/li>\n\n\n\n<li>Ordering Rational Numbers<\/li>\n\n\n\n<li>Comparing Rational Numbers<\/li>\n\n\n\n<li>Rational Numbers Between Decimals<\/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\">Important Formulas<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">1. Rational Number<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A <strong>rational number<\/strong> is any number that can be written in the form:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><menclose notation=\"box\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mfrac><mi>p<\/mi><mi>q<\/mi><\/mfrac><\/mstyle><\/mstyle><\/mstyle><\/menclose><\/mrow><annotation encoding=\"application\/x-tex\">\\boxed{\\frac{p}{q}}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>p<\/strong> = Integer (numerator)<\/li>\n\n\n\n<li><strong>q<\/strong> = Integer (denominator)<\/li>\n\n\n\n<li><strong>q \u2260 0<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. Mixed Fraction to Improper Fraction<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">To convert a <strong>Mixed Fraction<\/strong> into an <strong>Improper Fraction<\/strong>, use the formula:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><menclose notation=\"box\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mtext>Improper&nbsp;Fraction<\/mtext><mo>=<\/mo><mfrac><mrow><mo stretchy=\"false\">(<\/mo><mtext>Whole&nbsp;Number<\/mtext><mo>\u00d7<\/mo><mtext>Denominator<\/mtext><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><mtext>Numerator<\/mtext><\/mrow><mtext>Denominator<\/mtext><\/mfrac><\/mrow><\/mstyle><\/mstyle><\/mstyle><\/menclose><\/mrow><annotation encoding=\"application\/x-tex\">\\boxed{\\text{Improper Fraction}=\\frac{(\\text{Whole Number} \\times \\text{Denominator})+\\text{Numerator}}{\\text{Denominator}}}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Formula<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><menclose notation=\"box\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mi>a<\/mi><mfrac><mi>b<\/mi><mi>c<\/mi><\/mfrac><mo>=<\/mo><mfrac><mrow><mi>a<\/mi><mi>c<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><mi>c<\/mi><\/mfrac><\/mrow><\/mstyle><\/mstyle><\/mstyle><\/menclose><\/mrow><annotation encoding=\"application\/x-tex\">\\boxed{a\\frac{b}{c}=\\frac{ac+b}{c}}<\/annotation><\/semantics><\/math>Where:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>c<\/strong> = Denominator<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>a<\/strong> = Whole Number<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>b<\/strong> = Numerator<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">3. Average of Two Rational Numbers<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">To find a rational number between two rational numbers <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>a<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">a<\/annotation><\/semantics><\/math>a and <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>b<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">b<\/annotation><\/semantics><\/math>b, take their average.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Formula<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><menclose notation=\"box\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mtext>Average<\/mtext><mo>=<\/mo><mfrac><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><mn>2<\/mn><\/mfrac><\/mrow><\/mstyle><\/mstyle><\/mstyle><\/menclose><\/mrow><annotation encoding=\"application\/x-tex\">\\boxed{\\text{Average}=\\frac{a+b}{2}}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This average is always a rational number and lies between <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>a<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">a<\/annotation><\/semantics><\/math> and <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>b<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">b<\/annotation><\/semantics><\/math>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This always lies between a and b.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">4. Decimal Comparison Method<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Convert both numbers into decimals with more decimal places and choose numbers lying between them.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">5. Representation on Number Line<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Divide the interval into denominator number of equal parts and count numerator parts.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"859\" height=\"1024\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-11-859x1024.png\" alt=\"image\" class=\"wp-image-3227\" title=\"NCERT Class 9 Maths Exercise 3.4 Solutions | Rational Numbers\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-11-859x1024.png 859w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-11-252x300.png 252w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-11-768x915.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-11.png 1149w\" sizes=\"(max-width: 859px) 100vw, 859px\" \/><\/figure>\n\n\n\n<h1 class=\"wp-block-heading\">Common Mistakes<\/h1>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Forgetting to convert mixed fractions into improper fractions.<\/li>\n\n\n\n<li>Marking rational numbers incorrectly on the number line.<\/li>\n\n\n\n<li>Choosing boundary numbers instead of numbers strictly between them.<\/li>\n\n\n\n<li>Incorrectly comparing negative rational numbers.<\/li>\n\n\n\n<li>Writing repeating rational numbers as distinct values.<\/li>\n\n\n\n<li>Ignoring the sign of negative fractions.<\/li>\n\n\n\n<li>Selecting numbers equal to endpoints.<\/li>\n\n\n\n<li>Making errors while converting decimals.<\/li>\n\n\n\n<li>Not simplifying fractions before plotting.<\/li>\n\n\n\n<li>Confusing numerator and denominator positions.<\/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<p class=\"wp-block-paragraph\">\u2705 Always convert mixed fractions into improper fractions before plotting.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 For negative rational numbers, move left from zero.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 Use LCM to compare fractions easily.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 Remember that infinitely many rational numbers exist between any two rational numbers.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 Use the average method whenever you need one rational number between two numbers.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 Draw neat and properly labelled number lines.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 Write rational numbers in simplest form.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 While working with decimals, add extra decimal places to create more numbers between them.<\/p>\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 rational number lies between 0 and 1?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A) 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) \u22121<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> C<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">2. The rational number 3\/4 lies between:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A) 1 and 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) 0 and 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) \u22121 and 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) 2 and 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> B<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">3. Which of the following is equal to 1\u00bd?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A) 2\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) 5\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) 3\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) 4\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> C<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">4. A rational number between 1 and 2 is:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A) 3\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) 5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) \u22121<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> A<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">5. Which number lies between 3.1415 and 3.1416?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A) 3.1420<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) 3.14155<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) 3.1417<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) 3.1425<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> B<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">6. The average of 1\/2 and 1 is:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A) 1\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) 2\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) 3\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) 5\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> C<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">7. Rational numbers are:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A) Finite<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) Infinite<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) Only Positive<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) Only Negative<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> B<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">8. Which is an improper fraction?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A) 2\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) 3\/7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) 9\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) 1\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> C<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">9. Between any two rational numbers there are:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A) No rational numbers<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) One rational number<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) Two rational numbers<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) Infinitely many rational numbers<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> D<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">10. The number \u22125\/4 lies between:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A) 0 and 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) \u22122 and \u22121<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) \u22121 and 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) 1 and 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> B<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Frequently Asked Questions (FAQ)<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Q1. What is a rational number?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A rational number is any number that can be written in the form p\/q where q \u2260 0.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Q2. How do we represent a rational number on a number line?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Divide the interval into equal parts according to the denominator and move according to the numerator.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Q3. What is a mixed fraction?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A mixed fraction contains a whole number and a proper fraction.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Example:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1\u00bd<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Q4. How can we find a rational number between two rational numbers?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Use the average formula:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A rational number between<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>a<\/mi><mtext>&nbsp;and&nbsp;<\/mtext><mi>b<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">a \\text{ and } b<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">is<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><menclose notation=\"box\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mfrac><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><mn>2<\/mn><\/mfrac><\/mstyle><\/mstyle><\/mstyle><\/menclose><\/mrow><annotation encoding=\"application\/x-tex\">\\boxed{\\frac{a+b}{2}}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Q5. Are there infinitely many rational numbers between two rational numbers?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Yes, infinitely many rational numbers exist between any two rational numbers.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Q6. Why do we use improper fractions on the number line?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Improper fractions are easier to locate accurately.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Q7. What is the density property of rational numbers?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Between any two rational numbers, infinitely many rational numbers exist.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Q8. Can decimals be rational numbers?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Yes. Terminating and repeating decimals are rational numbers.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Q9. How do we compare rational numbers?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Convert them into equivalent fractions with the same denominator or into decimals.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Q10. Is every integer a rational number?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Yes.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Practice More with MyMockMate!<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Looking for detailed NCERT solutions, chapter-wise question banks, mock tests, and exam preparation resources?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udc49 Visit <strong><a href=\"http:\/\/www.mymockmate.com\/\">www.mymockmate.com<\/a><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2714 Step-by-Step Solutions<br>\u2714 Visual Explanations with Diagrams<br>\u2714 Chapter-wise Practice Questions<br>\u2714 Mock Tests with Performance Analysis<br>\u2714 Exam-Oriented Learning Resources<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Join thousands of students and make Mathematics easier with <a href=\"http:\/\/www.mymockmate.com\/\">www.mymockmate.com<\/a>!<\/strong><\/p>\n<div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/3226?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\">1<\/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> 1 Short Introduction Exercise 3.4 focuses on the representation of rational numbers on the number line, finding<\/p>\n","protected":false},"author":1,"featured_media":3343,"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":[4,11],"tags":[2440,944,2441,1179,2432,2438,2442,946,2439],"class_list":["post-3226","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-9","category-maths-class-9","tag-class-9-mathematics","tag-exercise-3-4-solutions","tag-ganita-manjari-grade-9","tag-maths-solutions","tag-ncert-class-9-maths","tag-number-line","tag-rational-number-problems","tag-rational-numbers","tag-rational-numbers-between-fractions"],"jetpack_publicize_connections":[],"_links":{"self":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/3226","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=3226"}],"version-history":[{"count":2,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/3226\/revisions"}],"predecessor-version":[{"id":3230,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/3226\/revisions\/3230"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media\/3343"}],"wp:attachment":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media?parent=3226"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/categories?post=3226"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/tags?post=3226"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}