Ex 1.3,4 - Chapter 1 Class 9 Number Systems
Last updated at April 16, 2024 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
Ex1.3, 4 Express 0.99999…in the form 𝑝/𝑞 . Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense. Let x = 0.9999….. Multiplying equation (1) with 10 10x = 10 × (0. 999…) 10x = 9. 999… Subtracting (2) from (1) i.e. (2) – (1) 10x – x = 9.9999… – 0.9999… 9x = 9 x = 9/9 x = 1 Thus, 0.9999… = 1
