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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

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Solution

To determine the number of significant figures in the result of a multiplication operation, you follow these steps:

  1. Perform the multiplication operation: 8.52010 × 7.9023456 = 67.33154653656

  2. 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.

  3. 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.

  4. Therefore, the result of the operation, when rounded to the appropriate number of significant figures, is 67.3315. This number has 6 significant figures.

This problem has been solved

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1/3

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