Question

$\frac{317}{3125}$ represents ______.

• A. A terminating decimal
• B. A non-recurring decimal
• C. A recurring decimal
• D. An Integer

Answer 1

The correct option is A A terminating decimal

If the denominator can be in the powers of either $2$ or $5$ or both, then it will be a terminating decimal, otherwise non-terminating.

Now, the denominator $3125=5^5$, i.e. is in the form $2^m\times 5^n$; where $n,m$ are non-negative.

Hence, the rational number is terminating.

Therefore, $\frac{317}{3125}$represents a terminating decimal.