1. Liam’s mass is 102.1 kg. The best approximation for this is:
B) 1 • 10^2 kg
This is because 10^2 equals 100, and Liam's mass is closer to 100 than to 10 (which is represented by 10^1).
2. Earth has an estimated mass of 5,972,000,000,000,000,000,000,000 kg. The best approximation for this is:
B) 6 • 10^24 kg
This is because 10^24 represents a 1 followed by 24 zeros, and the given number for Earth's mass, 5,972,000,000,000,000,000,000,000, is closest to 6 followed by 24 zeros.
3. To find out how many times as large the earth’s mass is as Liam’s mass, we divide earth’s mass by Liam's mass.
Earth's mass = 6 • 10^24 kg
Liam's mass = 1 • 10^2 kg
The ratio of Earth's mass to Liam's mass is (6 • 10^24)/(1 • 10^2) = 6 • 10^(24-2) = 6 • 10^22
So, the best approximation is:
C) 6 • 10^22
This means the Earth is approximately 6 • 10^22 times more massive than Liam.