Q8 of 104 Page 488

Express the recurring decimal 0.125125125 …. = as a rational number.

Let, x=0.125125125… …(i)


Multiplying this equation by 1000 on both the sides so that repetitive terms cancel out and we get:


1000x=125.125125125… …(ii)


Equation (ii)-(i),


⇒ 1000x-x=125.125125125-0.125125125=125


⇒ 999x=125


⇒



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