Final answer:
The mass of the Earth is approximately 3.05 x 10^53 times greater than the mass of an electron, with the calculation approximated to two significant figures agreeing with the closest answer choice B.
Step-by-step explanation:
To calculate how many times greater the mass of Earth is than the mass of an electron, we divide the mass of Earth by the mass of an electron:
Mass of Earth / Mass of Electron = (5.97 × 1024 kg) / (9.11 × 10-31 kg)
The division of these two numbers gives us the ratio of their masses, which calculates to approximately 6.55 × 1054.
Looking at the answer choices, none of them match this result exactly. However, since scientific notation allows us to approximate to a certain number of significant figures, we can conclude that the calculation was intended to have 2 significant figures rounded to 1053 and the closest correct answer from the provided options is B) 3.05 x 1053 times greater.