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Question 1 - Think and Reflect (Page 57) - Decimal Expansion of Real Numbers - Chapter 3 Class 9 - The World of Numbers (Ganita Manjari I)
Last updated at May 11, 2026 by Teachoo
Decimal Expansion of Real Numbers
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
- Exercise Set 3.5
- End-of-Chapter Exercises
Transcript
Question 1 - Think and Reflect (Page 57) Try to find the decimal expansions of 10/3 and 11/12. What do you observe about the repetition of the digits after the decimal point? Decimal Expansion of ππ/π Thus, 10/3=3.333β¦=π.π Μ Decimal Expansion of ππ/ππ Thus, 11/12=0.91666β¦=π.πππ Μ Observation The repetition behaves differently in each case. For ππ/π, the repeating digit ("3") starts immediately after the decimal point. This is called a pure repeating decimal. For ππ/ππ, there is a delay; the digits " 91 " do not repeat, and the repeating sequence (" 6 ") only starts after them. This is called a general repeating decimal.
