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How many significant figures are expressed when multiplying the following numbers: 200 * 89.25 = ?

A. 2 significant figures
B. 3 significant figures
C. 4 significant figures
D. 5 significant figures

1 Answer

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Final answer:

The product of 200 and 89.25 should be expressed with one significant figure since 200 has only one significant figure. Option A, 2 significant figures, is correct.

Step-by-step explanation:

When multiplying the numbers 200 and 89.25, the product should be expressed with the same number of significant figures as the factor with the least number of significant figures. In this case, the number 200 has only one significant figure because trailing zeros to the right of a number without a decimal point are not considered significant. The number 89.25 has four significant figures. Due to the rule that the answer in multiplication (or division) should have as many significant figures as the factor with the fewest significant figures, our final answer should be rounded to one significant figure.

Therefore, the correct option is:

  • A. 2 significant figures

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