Example 7 - 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 7 Show that 0.3333 = 0.3 can be expressed in the form / , where p and q are integers and q 0. Let x = 0.3333 .. Multiplying equation (1) with 10 10x = 10 (0.333 ) 10x = 3.333 Subtracting (2) from (1) i.e. (2) (1) 10x x = 3.3333 0.3333 9x = 3 x = 3/9 x = 1/3 Thus, 0.3333 = 1/3
