Question

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

(i) `151/600`

Answer 1

`15/1600 = 15/(2^6 × 5^2) = (15 × 5^4)/(2^6 × 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.