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Rational Numbers (8 Mathematics)

Master rational numbers, their properties, and operations. Learn about fractions, decimals, and how to work with numbers expressed as ratios.

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TL;DR: Master rational numbers, their properties, and operations. Learn about fractions, decimals, and how to work with numbers expressed as ratios.

Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated Jul 23, 2026

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Master rational numbers, their properties, and operations. Learn about fractions, decimals, and how to work with numbers expressed as ratios.

Rational Numbers MCQs with Answers & Explanations

Q1. What is a rational number?

  1. Any number
  2. A number that can be expressed as p/q where q ≠ 0 ✓ (correct)
  3. Only positive numbers
  4. Only integers

Q2. Which of the following is a rational number?

  1. √2
  2. π
  3. 1.5 ✓ (correct)
  4. √3

Q3. What is the additive identity of rational numbers?

  1. 1
  2. 0 ✓ (correct)
  3. -1
  4. ∞

Q4. What is the multiplicative identity of rational numbers?

  1. 0
  2. 1 ✓ (correct)
  3. -1
  4. ∞

Q5. What is the additive inverse of 3/4?

  1. 4/3
  2. -3/4 ✓ (correct)
  3. 3/4
  4. 1

Q6. What is the multiplicative inverse of 2/5?

  1. 5/2 ✓ (correct)
  2. -2/5
  3. 2/5
  4. 0

Q7. Simplify: 2/3 + 1/4

  1. 3/7
  2. 8/12
  3. 11/12 ✓ (correct)
  4. 3/12

Q8. Simplify: 3/5 × 10/9

  1. 2/3 ✓ (correct)
  2. 30/45
  3. 3/9
  4. 5/3

Q9. Which property states that a + b = b + a?

  1. Associative
  2. Commutative ✓ (correct)
  3. Distributive
  4. Identity

Q10. What is the value of -2/3 ÷ 4/9?

  1. -3/2 ✓ (correct)
  2. -8/27
  3. -6/4
  4. 8/27

Frequently Asked Questions

Is every integer a rational number?

Yes, every integer is a rational number. Any integer n can be expressed as n/1, which is in the form p/q. For example, 5 = 5/1.

What is the difference between rational and irrational numbers?

Rational numbers can be expressed as p/q (like 1/2, 0.5, 3). Irrational numbers cannot (like √2, π, e). Together they form all real numbers.

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