Question

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

(i) `24/125`

Answer 1

`24/125 = 24/5^3 =( 24 × 2^3)/(5^3 × 2^3) = 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.