Question

without actually performing long division, find if 980/10500 will have terminating or non terminating decimal expansion. give reason for your answer

Answer 1

980/10500

Denominator, 10500 = 5×5×5×2×2×7×3

Its not in the form of 5^m ×2^n

So its non terminating decimal

Hope it helps u : )

Answer 2

We have a rule that
If the denominator of the rational number is in the Form of 2^n. 5^m then it is a terminating decimal.