Question

Without actual division, show that the following rational numbers is a terminating decimal. Express in decimal form.

`24/125`

Answer 1

`24/125 = 24/5^3 xx 2^3/2^3`

= `(24 xx 8)/(5 xx 2)^3`

= `192/(10)^3` 

= `192/1000`

= 0.192

We know 5 is not a factor of 23, so it is in its simplest form.

Moreover, it is in the form of (2^m × 5ⁿ).

Hence, the given rational is terminating.