Question 12 - End-of-Chapter Exercises - Chapter 3 Class 9 - The World of Numbers (Ganita Manjari I)
Last updated at May 12, 2026 by Teachoo
End-of-Chapter Exercises
Question 1
Important
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Class 9
Chapter 3 Class 9 - The World of Numbers (Ganita Manjari I)
- The Human Need to Count
- Exercise Set 3.1
- The Revolution of Śhūnya
- Integers
- Exercise Set 3.2
- Rational Numbers
- Exercise Set 3.3
- Rational Numbers on the Number Line
- Absolute Value of a Rational Number
- Rational Numbers between two Rational numbers
- Exercise Set 3.4
- Irrational Numbers
- Construction of Length √n on Number line
- The Story of Pi (π) and Madhava’s Infinite Series
- Real Numbers & Imaginary Numbers
- Decimal Expansion of Real Numbers
- Magic of Cyclic Numbers
- Constructing a Square Root Spiral
- Exercise Set 3.5
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End-of-Chapter Exercises
Transcript
Question 12 A rational number in its lowest form has denominator 23 × 5. How many decimal places will its decimal expansion have? Explain your answer To find the exact decimal value of a fraction without long division, we try to turn the denominator into a perfect power of 10 Now, our denominator is 23 × 5 To make power of 10, we multiply by 52 So that 23 × 5 × 52 = 23 × 53 = (2 × 5)3 Thus, 23 × 5 × 52 = 23 × 51 + 2 = 23 × 53 = (2 × 5)3 = 1,000 Since we have 3 zeros in denominator Our denominator terminates after 3 decimal places
