Convert 0.123333 .. to p/q form where p and q are integers and q ≠ 0
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
Convert 0.123333 .. to p/q form where p and q are integers and q ≠ 0 You are here
Convert 0.575757.. to p/q form where p and q are integers and q ≠ 0
Convert 2.4(178).. to p/q form where p and q are integers and q ≠ 0
Expressing numbers in p/q form
Example 6
Example 7 Important
Ex 1.3, 3 (i)
Ex 1.3,4 Important
Example 8
Example 9 Important
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
Convert 0.123 ̅ to p/q form where p and q are integers and q ≠ 0 Let x = 0.12333….. Multiplying equation (1) with 10 10x = 10 × (0.12333…) 10x = 1.23333… Subtracting (2) from (1) i.e. (2) – (1) 10x – x = 1.23333… – 0.123333… 9x = 1.11 Since there is bar over 3 only, (one digit) 1.23333… 0.12333… 9x = 111/100 x = 𝟏𝟏𝟏/𝟗𝟎𝟎 Thus, 0.123 ̅ = 𝟏𝟏𝟏/𝟗𝟎𝟎 0.123 ̅ = 𝟏𝟏𝟏/𝟗𝟎𝟎
