Question

Without avtually performing long division find if 987/10500 will jave terminating or non terminating value

Answer 1

Heya !!!

Here is Your Answer.

Given :

987/10500

Prime factorisation of 10500 = 2² • 5³ • 3 • 7

As the prime factorisation of denominator is of the form 2^m×5^n.

Hence, it will have a terminating decimal expansion.

Hope It Helps

Answer 2

Heya !!!

987 / 10500

=> 987 / 5 × 5 × 5 × 2 × 2 × 7 ×3

=> 987 / (5)³ × (2)² × 21

Prime factorisation of denominator 10500 is in the form of (2)^m × (5)^n.

So,

It is terminating decimal.

HOPE IT WILL HELP YOU...... :-)