Source: Extra Practice

The number of significant figures in the measured values 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} are respectively:

Options

Option A is correct

1, 3, and 4

Option B

3, 3, and 3

Option C

4, 24, and 4

Option D

1, 24, and 3

Explanation

According to the rules for significant figures: (1) In 0.0070.007, the leading zeros are not significant; only the '7' is significant (1 figure). (2) In scientific notation 2.64×10242.64 \times 10^{24}, only the base number 2.642.64 counts; the power of 10 is irrelevant for significance (3 figures). (3) In 0.23700.2370, 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.