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Ex 1.3, 3 (i) - Chapter 1 Class 9 Number Systems
Last updated at August 11, 2026 by Teachoo
Expressing decimal in p/q
Convert 2.333... to p/q form where p and q are integers and q ≠ 0
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Chapter 1 Class 9 Number Systems
Concept wise
- Rational numbers - Definition
- Finding rational number between two numbers
- Irrational Numbers
- Simplifying real numbers
- Rationalising
- Laws of exponents
- Finding decimal expansion
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Expressing decimal in p/q
- Classifiying rational/irrational
- Finding irrational numbers b/w two numbers
- Real numbers on a number line
Transcript
Ex 1.3, 3 Express the following in the form 𝑝/𝑞 where p and q are integers and q ≠ 0. 0.6 ̅ Let x = 0.6 ̅ = 0.6666….. Multiplying equation (1) with 10 10x = 10 × (0.666…) 10x = 6.666… Subtracting (2) from (1) i.e. (2) – (1) 10x – x = 6.6666… – 0. 6666… 9x = 6 x = 6/9 x = 2/3 Thus, 0.6 ̅ = 𝟐/𝟑
