Question

Decimal expansion of $\frac{7}{500}$ is _______.

• A. Terminating
• B. Non - terminating
• C. Both recurring and terminating
• D. Recurring

Answer 1

The correct option is A Terminating

To check whether decimal expansion is recurring or terminating decimal numbers,
we have to find out whether denominator is in the form of $2^n$, $5^m$ or $2^n$ × $5^m.$
Now,
Fraction = $\frac{7}{500}$
Here,
Denominator = 500
So,
500 = $2^2$ × $5^3$
Since, 500 is in the form of $2^2$ × $5^3$.
Therefore it is a terminting decimal number.