Answer :
To solve the problem [tex]\(\frac{12.0}{7.11}\)[/tex] and express the answer to the correct number of significant figures, we'll follow these steps:
1. Perform the Division: Start by dividing 12.0 by 7.11. This gives us approximately 1.687747.
2. Determine Significant Figures in Original Values:
- The number 12.0 has three significant figures.
- The number 7.11 also has three significant figures.
3. Apply Significant Figures Rule: When performing division, the result should have the same number of significant figures as the number with the least significant figures from the problem. Both numbers have three significant figures.
4. Round the Result:
- The number we obtained from the division was 1.687747.
- Rounding this to three significant figures gives us 1.69.
So, the correct answer, rounded to the appropriate number of significant figures, is B. 1.69.
1. Perform the Division: Start by dividing 12.0 by 7.11. This gives us approximately 1.687747.
2. Determine Significant Figures in Original Values:
- The number 12.0 has three significant figures.
- The number 7.11 also has three significant figures.
3. Apply Significant Figures Rule: When performing division, the result should have the same number of significant figures as the number with the least significant figures from the problem. Both numbers have three significant figures.
4. Round the Result:
- The number we obtained from the division was 1.687747.
- Rounding this to three significant figures gives us 1.69.
So, the correct answer, rounded to the appropriate number of significant figures, is B. 1.69.
