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Gyaan Maths
CBSE · Class 6-12
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CBSE Maths · Class 9

Chapter 3: The World of Numbers

Name: ________________________
Date: ______________
Marks: ____ / 6

Rationals, irrationals, real numbers, and decimal expansions.

Questions

  1. Is 22/722/7 rational?
  2. Is 2\sqrt 2 rational?
  3. 21/2⋅21/22^{1/2}\cdot 2^{1/2}.
  4. Rationalise 1/31/\sqrt 3.
  5. 0.6‾0.\overline{6} as fraction.
  6. (23)2(2^3)^2.

Extra Practice (Optional)

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Answer Key (For Teachers)

  1. Answer: Yes
    Working: p/qp/q.
  2. Answer: No
    Working: Non-recurring.
  3. Answer: 22
    Working: Add exp.
  4. Answer: 3/3\sqrt 3/3
    Working: Mult by 3\sqrt 3.
  5. Answer: 23\tfrac 23
    Working: Standard.
  6. Answer: 6464
    Working: Multiply exp.
Gyaan Maths · CBSE Class 9 · Chapter 3
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026