Question

Question 1 (ii)
Without actually performing the long division, state whether $\frac{17}{8}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Answer 1

$\frac{17}{8}$
On factorising the denominator, we get:
$8=2\times 2\times 2=2^3$
Here, denominator is in the form of $2^m\times 5^n$, where m = 3 and n = 0.
It means that rational number $\frac{17}{8}$ has terminating decimal expansion.