Question

Hii
why should we add 5^3 to nr and Dr

Answer 1

Solution :

Given rational number 3/8

denominator (q) = 8 = 2³

it is of the form 2^m × 5^n .

Here ,

m = 3 , n = 0

So, 3/8 can be represented as

terminating decimal.

Procedure :

3/8

= 3/2³

Multiplying numerator and denominator

by 5³, we get

= ( 3 × 5³ )/( 2³ × 5³ )

[ To make denominator power of 10 ]

= ( 3 × 125 )/( 2 × 5 )³

= 375/( 10³ )

= 375/1000

= 0.375 ( terminating decimal )

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