Question

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion : $\frac{23}{2^3{.5}^2}$

Answer 1

Since denominator is of the form $2^n{.5}^m$, where m=2 and n=3 are non-negative integers.
It means rational number $\frac{23}{2^3{.5}^2}$ has terminating decimal expansion.