High School

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 expressing the result with the correct number of significant figures, we start by noting the significant figures in the given numbers:

1. The number 12.0 has three significant figures.
2. The number 7.11 also has three significant figures.

When performing division, the result should be expressed with the same number of significant figures as the factor in the division with the fewest significant figures. In this case, both numbers have three significant figures.

The division of 12.0 by 7.11 gives approximately 1.6877637130801686. To express this result with three significant figures, we round it to:

1.688

Now, let's look at the given answer options:

A. 1.688
B. 1.69
C. 1.7
D. 1.70

Since we need three significant figures, the correct answer is:

A. 1.688