Question

9. Without actual division, find whether the following fractions are terminating decimals or recurring decimals :
7÷16
In case of terminating decimals, write their decimal expansions.

Answer 1

Answer:

It is not terminating.

Explanation:

it is nota a terminating decimal as the denominator cannot be expressed as 2^n × 5^m where n≠0 and m≠0

for a decimal expantion to be terminating, the denominator should be in the above mentioned form.

the denominator in this question can be expressed as 2⁴.

2⁴≠ 2^n×5^m where m≠0 and n ≠0.