Question

The decimal expansion of the rational number will terminate `37/(2^2 xx 5)` will terminate after

Options

• one decimal place

• two decimal places

• three decimal places

• four decimal places

Answer 1

Two decimal places

Explanation:

`37/(2^2 xx 5) = (37 xx 5)/(2^2 xx 5^2)`

= `185/(2 xx 5)^2`

= `185/(10)^2`

= `185/100`

= 1.85

So, it will terminate after 2 decimal places.