Example 8 - 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
-
Expressing decimal in p/q
- Classifiying rational/irrational
- Finding irrational numbers b/w two numbers
- Real numbers on a number line
Transcript
Example 8 Show that 1.272727 = 1.(27) can be expressed in the form / , where p and q are integers and q 0. Let x = 1.(27) = 1.272727 Multiplying equation (1) with 100 100x = 100 (1.272727 ) 100x = 127.2727 Subtracting (2) from (1) i.e. (2) (1) 100x x = 127.2727 1.272727 99x = 126.0000 x = 126/99 x = 14/11 Thus, 1.(27) = 14/11
