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Perform this mathematical operation and express the answer to the correct number of significant figures:

\[ 185,007 \div 5301 \]

A. 181,500
B. 181,506
C. 34.90
D. 34.9

Answer :

Final answer:

The calculation 185,007 ÷ 5301 gives an initial result of 34.90209243369781. Rounding to the correct number of significant figures, which is determined by the number with the least amount of significant figures in the original operation (4 significant figures in 5301), provides the final answer of 34.90.

Explanation:

To answer your question on performing a mathematical operation, the operation is 185,007 ÷ 5301. Using a calculator gives you an answer of approximately 34.90209243369781, but we cannot have that many significant figures. This situation requires applying the rule of significant figures in division. In multiplication and division, the result should contain no more digits than that in the factor containing the least number of significant figures. Hence, the least amount of significant figures among our original numbers (185,007 and 5301) is 4 (in 5301). This means we need to round our answer to 4 significant figures, providing the answer of 34.90, which corresponds to option C).

Learn more about Significant Figures here:

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