College

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. 1.69
C. 1.7
D. 1.70

Answer :

To solve the problem of dividing 12.0 by 7.11 and express the answer with the correct number of significant figures, follow these steps:

1. Perform the Division:
Divide 12.0 by 7.11. When you do this calculation, you get approximately 1.6877637130801686.

2. Determine the Significant Figures:
Look at the numbers in the division problem:
- 12.0 has 3 significant figures.
- 7.11 also has 3 significant figures.

Since both numbers have 3 significant figures, the result should be expressed with the same number of significant figures.

3. Round the Answer:
Round the result of the division to 3 significant figures. The number 1.6877... rounded to three significant figures is 1.69.

Based on these calculations, the solution, rounded to three significant figures, is 1.69.

Therefore, the correct answer is:
B. 1.69