Express zero point 999999999Express 0.99999 in the form of p by q
Answers
Answered by
27
Answer :
- Given:
- 0.9 = 0.99999…
- Let x = 0.99999……. (1)
- Here only one digit is repeating so multiply by 10 on both sides
- 10 × x = 10× 0.99999….
- 10x = 9.9999…. (2)
- On subtracting equation 1 from equation 2
- 10x- x = 9.9999…. - 0.9999….
- 9x = 9
- x = 9/ 9 = 1
- Here , 0.9 = 1
- Yes we are surprised to get an integer 1, because 0.9999…. goes on forever so there is no gap between 1 and 0.999 9... and hence they are equal
Similar questions