Answer :
To solve the problem and express the answer with the correct number of significant figures, follow these steps:
1. Perform the Division:
We start by dividing 12.0 by 7.11. When you perform this division, you get approximately 1.6877637130801686.
2. Determine the Least Number of Significant Figures:
In the numbers given, 12.0 has three significant figures, and 7.11 has three significant figures. The result should be expressed with the least number of significant figures from the numbers involved, which is three.
3. Round to the Correct Number of Significant Figures:
We need to round the result, 1.6877637130801686, to three significant figures. When rounded correctly, the first three significant figures are 1, 6, and 9, resulting in 1.69.
Based on this calculation, the correct answer is:
B. [tex]\( \quad 1.69 \)[/tex]
1. Perform the Division:
We start by dividing 12.0 by 7.11. When you perform this division, you get approximately 1.6877637130801686.
2. Determine the Least Number of Significant Figures:
In the numbers given, 12.0 has three significant figures, and 7.11 has three significant figures. The result should be expressed with the least number of significant figures from the numbers involved, which is three.
3. Round to the Correct Number of Significant Figures:
We need to round the result, 1.6877637130801686, to three significant figures. When rounded correctly, the first three significant figures are 1, 6, and 9, resulting in 1.69.
Based on this calculation, the correct answer is:
B. [tex]\( \quad 1.69 \)[/tex]
