Select the correct answer.

What is the solution to the problem expressed to the correct number of significant figures?

[tex]\[ \frac{12.0}{7.11} = ? \][/tex]

A. 1.688

B. \(\quad 1.69\)

C. 1.7

D. [tex]\(\quad 1.70\)[/tex]



Answer :

To solve the problem of dividing \(12.0\) by \(7.11\), let's follow the steps carefully:

1. Perform the Division:
[tex]\[ \frac{12.0}{7.11} \approx 1.6877637130801686 \][/tex]

2. Round the Result to Two Decimal Places:
The next step is to round the result to two decimal places. When we round \(1.6877637130801686\) to two decimal places, we get:
[tex]\[ 1.69 \][/tex]

3. Match the Rounded Result with the Options:
The final step is to select the correct choice from the provided options. Given the rounded result \(1.69\), the correct option is:
[tex]\[ B. \quad 1.69 \][/tex]

Thus, the correct answer is:
[tex]\[ B. \quad 1.69 \][/tex]