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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 :

We want to evaluate

[tex]$$
\frac{12.0}{7.11}.
$$[/tex]

Step 1. Notice that both 12.0 and 7.11 have three significant figures. This means that the final answer should be stated with three significant figures.

Step 2. Dividing 12.0 by 7.11 gives approximately

[tex]$$
\frac{12.0}{7.11} \approx 1.68776.
$$[/tex]

Step 3. Since the numbers have three significant figures, we round the result to three significant digits. Rounding 1.68776 to the appropriate number of figures gives

[tex]$$
1.688.
$$[/tex]

Thus, the solution expressed to the correct number of significant figures is [tex]$1.688$[/tex], which corresponds to answer choice A.

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