Q. 2 A4.4( 16 Votes )

# Express each of the following decimals in the rational form .

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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