How many significant figures does the result of the following operation contain?8.52010 × 7.9023456
Question
How many significant figures does the result of the following operation contain?
8.52010 × 7.9023456
Solution
To determine the number of significant figures in the result of a multiplication operation, you follow these steps:
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Perform the multiplication operation: 8.52010 × 7.9023456 = 67.33154653656
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Determine the number of significant figures in each of the original numbers. The number 8.52010 has 6 significant figures and the number 7.9023456 has 8 significant figures.
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The result of the operation should have the same number of significant figures as the original number with the least number of significant figures. In this case, that's 8.52010 with 6 significant figures.
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Therefore, the result of the operation, when rounded to the appropriate number of significant figures, is 67.3315. This number has 6 significant figures.
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