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.
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.
