Question

The decimal expansion of `23/(2^5 xx 5^2)` will terminate after how many places of decimal?

Options

• 2

• 4

• 5

• 1

Answer 1

5

Explanation:

`23/(2^5 xx 5^2) = (23 xx 5^3)/(2^5 xx 5^2 xx 5^3)`

= `(23 xx 125)/(2^5 xx 5^2)`

= `2875/(10)^5`

= `2875/100000`

= 0.02875

Hence, `23/(2^5 xx 5^2)` will terminate after 5 decimal places.