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Select the correct answer.

What is the solution to the problem expressed to the correct number of significant figures?

[tex]\frac{12.0}{7.11}=?[/tex]

A. 1.688
B. 1.69
C. 1.7
D. 1.70

Answer :

To solve the problem of finding the correct answer to [tex]\(\frac{12.0}{7.11}\)[/tex] with the appropriate number of significant figures, follow these steps:

1. Perform the Division:
- Divide 12.0 by 7.11. The result is approximately 1.6877637130801686.

2. Determine Significant Figures:
- Look at the numbers in the problem:
- 12.0 has three significant figures because it includes the trailing zero.
- 7.11 also has three significant figures.

3. Round the Answer:
- Since the smallest number of significant figures in the given numbers is three (from both 12.0 and 7.11), we need to round our division result to three significant figures.
- Rounding 1.6877637130801686 to three significant figures gives us 1.69.

So, the correct answer is:
B. 1.69

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