For the multiplication of 4.769 m times 7.20 m, the result should be reported with how many significant figures?

A. Four
B. Seven
C. Three
D. One
E. Two



Answer :

To determine the number of significant figures to report in the result of multiplying two numbers, we follow the rule that the product should have the same number of significant figures as the number with the fewest significant figures in the multiplication.

1. Identify the number of significant figures in each factor:
- The first factor, 4.769 m, has four significant figures.
- The second factor, 7.20 m, has three significant figures.

2. Determine the fewest significant figures:
- Among 4.769 m (four significant figures) and 7.20 m (three significant figures), the number with the fewest significant figures is 7.20 m, which has three significant figures.

Since the factor 7.20 m has the fewest number of significant figures (three significant figures), the product of 4.769 m and 7.20 m should be reported with three significant figures.

Thus, the result should be reported with three significant figures. Therefore, the correct answer is:

Three

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