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Ex 3.5, 5
Last updated at May 29, 2026 by Teachoo
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 ΕhΕ«nya
- 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 βn on Number line
- The Story of Pi (Ο) and Madhavaβs Infinite Series
- Real Numbers & Imaginary Numbers
- Decimal Expansion of Real Numbers
- Magic of Cyclic Numbers
- Constructing a Square Root Spiral
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Exercise Set 3.5
- End-of-Chapter Exercises
Transcript
Ex 3.5, 5 We have seen that the repeating block of 1/7 is a cyclic number. Try to find more numbers (n) whose reciprocals (1/π) produce decimals with repeating blocks that are cyclic. We saw that 1/7 produces the cyclic block 142857. Since 7 is a prime number, lets try others Letβs try π/ππ Dividing 1 by 17Thus, For n = 17 1/17 = 0.(ππππππππππππππππ) Μ β΄ The repeating block of digits after decimal point are 16 For n = 19 1/19 = 0.(ππππππππππππππππππ) Μ β΄ The repeating block of digits after decimal point are 18 For n = 23 1/23 = 0.(ππππππππππππππππππππππ) Μ β΄ The repeating block of digits after decimal point are 22
