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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 dividing 12.0 by 7.11 and expressing the answer with the correct number of significant figures, follow these steps:

1. Identify Significant Figures:
- The number 12.0 has 3 significant figures.
- The number 7.11 also has 3 significant figures.

2. Perform the Division:
- Divide 12.0 by 7.11 to get approximately 1.68776371308.

3. Determine Significant Figures for the Result:
- In division, the number of significant figures in the result should be the same as the number with the fewest significant figures used in the calculation. In this case, both numbers have 3 significant figures.

4. Round to the Correct Number of Significant Figures:
- We round 1.68776371308 to three significant figures, which gives us 1.69.

Therefore, the solution, expressed with the correct number of significant figures, is 1.69, which matches option B.