Question

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

`15/1600`

Answer 1

`15/1600 = 15/(2^6 xx 5^2)`

= `(15 xx 5^4)/(2^6 xx 5^6)`

= `9375/1000000`

= 0.009375

We know either 2 or 5 is not a factor of 15, so it is in its simplest form.

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

Hence, the given rational is terminating.