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 :

We start with the division:

[tex]$$ \frac{12.0}{7.11} \approx 1.688. $$[/tex]

Since both the numerator (12.0) and the denominator (7.11) have 3 significant figures, the result should be expressed with 3 significant figures as well. To round 1.688 to 3 significant figures, we look at the fourth digit (which is 8) to decide how to round the third digit. Rounding 1.688 to 3 significant figures gives:

[tex]$$ 1.69. $$[/tex]

Thus, the correct answer is:

[tex]$$ \boxed{1.69}. $$[/tex]