Question

Find after how many places of decimal the decimal form of the number `27/(2^3. 5^4. 3^2)` will terminate.

Answer 1

`27/(2^3. 5^4. 3^2) = 3/(2^3 . 5^4) = (3xx2)/(2^4 xx 5^4) = (3xx2)/(2xx5)^4 = 6/10^4 = 0.0006`

Therefore, after 4 place of decimal the decimal form of given number will terminate.