Question

The mass of Saturn is approximately 6×1026
kg, while the mass of Mercury is approximately 3×1023
kg.

Which of the following is true?

(1 point)
Responses

The mass of Mercury is approximately two hundred times the mass of Saturn.
The mass of Mercury is approximately two hundred times the mass of Saturn.

The mass of Mercury is approximately two thousand times the mass of Saturn.
The mass of Mercury is approximately two thousand times the mass of Saturn.

The mass of Saturn is approximately two hundred times the mass of Mercury.
The mass of Saturn is approximately two hundred times the mass of Mercury.

The mass of Saturn is approximately two thousand times the mass of Mercury.

Answer 1

To compare the masses of Saturn and Mercury, we can set up the ratio of their masses:

- Mass of Saturn = \(6 \times 10^{26}\) kg
- Mass of Mercury = \(3 \times 10^{23}\) kg

Now we can calculate the ratio of the mass of Saturn to the mass of Mercury:

\[
\text{Ratio} = \frac{\text{Mass of Saturn}}{\text{Mass of Mercury}} = \frac{6 \times 10^{26}}{3 \times 10^{23}} = \frac{6}{3} \times \frac{10^{26}}{10^{23}} = 2 \times 10^{3} = 2000
\]

Thus, the mass of Saturn is approximately two thousand times the mass of Mercury.

So the correct statement is:

**The mass of Saturn is approximately two thousand times the mass of Mercury.**