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Answer :
To solve the problem of finding the solution to [tex]\(\frac{12.0}{7.11}\)[/tex] expressed to the correct number of significant figures, let's follow these steps:
1. Perform the Division: First, divide 12.0 by 7.11. The result is approximately 1.6877637130801686.
2. Determine Significant Figures:
- The number 12.0 has three significant figures because the trailing zero after the decimal point counts.
- The number 7.11 has three significant figures as well.
3. Round to the Correct Significant Figures: Since both numbers used in the division have three significant figures, we need to round our result to match this count. Therefore, we round 1.6877637130801686 to three significant figures, which gives us 1.69.
The final solution, expressed to the correct number of significant figures, is 1.69.
So, the correct answer is B. 1.69.
1. Perform the Division: First, divide 12.0 by 7.11. The result is approximately 1.6877637130801686.
2. Determine Significant Figures:
- The number 12.0 has three significant figures because the trailing zero after the decimal point counts.
- The number 7.11 has three significant figures as well.
3. Round to the Correct Significant Figures: Since both numbers used in the division have three significant figures, we need to round our result to match this count. Therefore, we round 1.6877637130801686 to three significant figures, which gives us 1.69.
The final solution, expressed to the correct number of significant figures, is 1.69.
So, the correct answer is B. 1.69.
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