To solve [tex]\( \frac{12.0}{7.11} \)[/tex] and express the result to the correct number of significant figures, let's follow the steps below:
1. Determine the significant figures:
- The numerator [tex]\( 12.0 \)[/tex] has 3 significant figures because all non-zero digits and any zeros between them or following the decimal point are significant.
- The denominator [tex]\( 7.11 \)[/tex] also has 3 significant figures for similar reasons as above.
2. Perform the division:
- Dividing 12.0 by 7.11 gives us a result that initially has more significant digits than we need.
3. Round the result to the appropriate number of significant figures:
- Since both the numerator and denominator have 3 significant figures, our final result should retain 3 significant figures.
- Upon performing [tex]\( \frac{12.0}{7.11} \)[/tex], the division yields approximately 1.6877637130801686.
- We round this value to 3 significant figures.
The result rounded to three significant figures is:
[tex]\[
1.69
\][/tex]
Thus, the correct answer is B. [tex]\( \quad \boxed{1.69} \)[/tex].
