The number of significant figures in the measured values $0.007\text{ m}^2$, $2.64 \times 10^{24}\text{ kg}$, and $0.2370\text{ g cm}^{-3}$ are respec...

The number of significant figures in the measured values $0.007\text{ m}^2$ , $2.64 \times 10^{24}\text{ kg}$ , and $0.2370\text{ g cm}^{-3}$ are respectively:

Model Answer & Options

Source: Extra Practice

1, 3, and 4

3, 3, and 3

4, 24, and 4

1, 24, and 3

Explanation

According to the rules for significant figures: (1) In $0.007$ , the leading zeros are not significant; only the '7' is significant (1 figure). (2) In scientific notation $2.64 \times 10^{24}$ , only the base number $2.64$ counts; the power of 10 is irrelevant for significance (3 figures). (3) In $0.2370$ , the leading zero is not significant, but the trailing zero after the decimal point is significant (4 figures). Hence, the counts are 1, 3, and 4.

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