QuestionJune 3, 2025

How many significant figures should be retained in the result of the following calculation? 12.00000times 0.9893+13.00335times 0.0107 2 3 4 5 6

How many significant figures should be retained in the result of the following calculation? 12.00000times 0.9893+13.00335times 0.0107 2 3 4 5 6
How many significant figures should be retained in the result of the following calculation?
12.00000times 0.9893+13.00335times 0.0107
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3
4
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6

Solution
4.5(230 votes)

Answer

3 Explanation 1. Identify Significant Figures in Multiplication For 12.00000 \times 0.9893, the number with the fewest significant figures is 0.9893 (4 significant figures). 2. Identify Significant Figures in Multiplication For 13.00335 \times 0.0107, the number with the fewest significant figures is 0.0107 (3 significant figures). 3. Determine Overall Significant Figures The result of the addition should retain the least number of decimal places from the multiplication results, which is determined by the term with the fewest significant figures in multiplication (3 significant figures).

Explanation

1. Identify Significant Figures in Multiplication<br /> For $12.00000 \times 0.9893$, the number with the fewest significant figures is $0.9893$ (4 significant figures).<br />2. Identify Significant Figures in Multiplication<br /> For $13.00335 \times 0.0107$, the number with the fewest significant figures is $0.0107$ (3 significant figures).<br />3. Determine Overall Significant Figures<br /> The result of the addition should retain the least number of decimal places from the multiplication results, which is determined by the term with the fewest significant figures in multiplication (3 significant figures).
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