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Using the problem below, determine the answer with the correct number of significant figures.

\[ 98.1 \times 0.03 \]

A. 2.94
B. 2.93
C. 2.9
D. 3.0

Answer :

Final answer:

The multiplication of 98.1 by 0.03 should be expressed with the same number of significant figures as the least precise number. The result, initially 2.943, is rounded to one significant figure, leading to the correct answer of 3.0.option d is correct answer.

Explanation:

The subject of the question is determining the answer with the correct number of significant figures. When multiplying 98.1 by 0.03, we initially get 2.943. However, we must express our final answer with the same number of significant figures as the least precise number used in the calculation, which in this case is 0.03, having only one significant figure. To meet the conditions of significant figures, we round the result to one significant figure, which gives us an answer of 3.0.

Using the rules of significant figures:

  2. Identify the number of significant figures in each number.
  4. Multiply the numbers using standard mathematical rules.
  6. Round the result to the same number of significant figures as the least precise number.

Therefore, the correct answer with the appropriate number of significant figures is 3.0 (option d).

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