Q. 2 A4.5( 19 Votes )

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Answer :

let x = 

x = 0.99999….. -(i)


Here the periodicity of the decimal is one


So, we multiply both sides of (i) by 10 and we get


10x = 9.999…-(ii)


Subtract (i) from (ii)


10x = 9.999….


x = 0.999…

10x - x = 9.999... - 0.999...

9x = 9.0

x = 1

Hence = 1

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