Significant Figures in Multiplication

Using rules of significant figures what is the value of \(22.8\text{ m} \times 3.4\text{ m}\):

77.52 \(\text{m}^2\)

77.5 \(\text{m}^2\)

78 \(\text{m}^2\)

78.0 \(\text{m}^2\)

Solution:

The multiplication result must be rounded to the least number of significant figures among the measured values. Since 3.4 has only 2 significant figures, the result \(77.52\text{ m}^2\) is rounded to 2 significant figures, which is \(78\text{ m}^2\).

Significant Figures in Multiplication

Solution:

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