Question

Question 1 (ix)
Without actually performing the long division, state whether $\frac{35}{50}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Answer 1

$\frac{35}{50}$
On dividing denominator and numerator by 5, we get, $\frac{7}{10}$.
On factorising the denominator, we get;
$10=2\times 5$
Here, denominator is in the form of $2^m\times 5^n$, where m = 1 and n = 1.
Thus, the decimal expansion of the number $\frac{35}{50}$ is terminating.