Source: Extra Practice

State the number of significant figures in the following measurements: 0.007 m20.007\text{ m}^2, 2.64×1024 kg2.64 \times 10^{24}\text{ kg}, and 0.2370 g cm30.2370\text{ g cm}^{-3}.

Options

Option A is correct

1, 3, 4

Option B

3, 3, 4

Option C

1, 24, 4

Option D

3, 24, 3

Explanation

For 0.007 m20.007\text{ m}^2, the leading zeros are not significant; only '7' is significant (1 significant figure). For 2.64×1024 kg2.64 \times 10^{24}\text{ kg}, the exponential term does not contribute to the significant figures; only '2', '6', and '4' are significant (3 significant figures). For 0.2370 g cm30.2370\text{ g cm}^{-3}, the trailing zero after the decimal point is significant, meaning '2', '3', '7', and '0' are all significant (4 significant figures).