Question

1. Without actually performing the long

division, find if 987/10500 will have

terminating or non-terminating

repeating decimal expansion. Give

reason for your answer.​

Answer 1

Answer:

Yes it will

Step-by-step explanation:

This is because,

$\frac{987}{10500}$

= $\frac{329}{3500}$

=$\frac{47}{500}$ = $\frac{47}{2^{2}5^{3}}$

Since the denominator is in the form $2^{m}5^{n}$ where m and n are non negative integers,

Therefore, $\frac{987}{10500}$ will have a terminating decimal expansion

HOPE IT HELPS