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 :

Let's solve the problem step-by-step:

The problem asks us to divide 12.0 by 7.11 and provide the answer with the correct number of significant figures.

1. Division: Perform the division [tex]\( \frac{12.0}{7.11} \)[/tex] to find the raw result. This calculation will give us approximately 1.6877637130801686.

2. Significant Figures: When expressing your answer, you must consider the number of significant figures. The numbers we are dividing have the following significant figures:
- 12.0 has 3 significant figures.
- 7.11 has 3 significant figures.

Therefore, our result should also be expressed with 3 significant figures.

3. Rounding: We have the division result approximately as 1.6877637130801686. To round this to 3 significant figures:
- Look at the first three significant digits: 1.68
- The digit following this is 7, which means we round up the last significant digit (8) to 9.

So, the solution rounded to 3 significant figures is 1.69.

Finally, let's compare this result with the given options:
- A. 1.688
- B. 1.69
- C. 1.7
- D. 1.70

The correct answer, expressed with the proper number of significant figures, is B. 1.69.