What is the quotient of the given values to the correct level of precision?

[tex]\[ 16.017 \, \text{in.} \div 0.370 \, \text{in.} \][/tex]

A. 43

B. 43.289

C. 43.29

D. 43.3



Answer :

To determine the quotient of 16.017 inches divided by 0.370 inches:

1. Divide the numerator by the denominator:
[tex]\[ \frac{16.017}{0.370} \approx 43.28918918918919 \][/tex]

2. Round this result to the correct level of precision:
- If we are rounding to two decimal places, we need to look at the third decimal place. In this case, the third decimal place is 9, which is greater than 5.
- Therefore, we round up the second decimal place.

3. The rounded quotient is:
[tex]\[ 43.29 \][/tex]

Thus, the correct level of precision for the quotient of 16.017 inches divided by 0.370 inches is 43.29.