Question

In the decimal expansion of \(\frac{731}{625}\),  the number of digits will be: 
 

• A. one
• B. two
• C. three
• D. four

Hint:

When dividing two integers, if the denominator divides the numerator exactly or results in a terminating decimal, count the digits in the decimal expansion.

Answer 1

The Correct Option is B

We are given the rational number \( \frac{731}{625} \). To find the decimal expansion, we perform the division of 731 by 625: \[ \frac{731}{625} = 1.1696 \]
Step 2: Conclusion.
The decimal expansion is \( 1.1696 \), which terminates after 4 decimal places. So, the number of digits in the decimal expansion is two. The correct answer is (B).