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The mass of the sun is 2.13525×1030 kilograms. The mass of Mercury is 3.285×1023 kilograms.

How many times greater is the mass of the sun than the mass of Mercury?

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Response area times greater

1 answer

To find how many times greater the mass of the sun is than the mass of Mercury, you can use the formula:

\[ \text{Times greater} = \frac{\text{Mass of the Sun}}{\text{Mass of Mercury}} \]

Plugging in the values:

\[ \text{Mass of the Sun} = 2.13525 \times 10^{30} \text{ kg} \] \[ \text{Mass of Mercury} = 3.285 \times 10^{23} \text{ kg} \]

Now calculate:

\[ \text{Times greater} = \frac{2.13525 \times 10^{30}}{3.285 \times 10^{23}} \]

This can be simplified by dividing the coefficients and subtracting the exponents:

  1. Divide the coefficients: \[ \frac{2.13525}{3.285} \approx 0.649 \]

  2. Subtract the exponents: \[ 10^{30 - 23} = 10^{7} \]

Now, combining those results gives:

\[ \text{Result} \approx 0.649 \times 10^{7} = 6.49 \times 10^{6} \]

Thus, the mass of the sun is approximately \(6.49 \times 10^{6}\) times greater than the mass of Mercury.

In response to your input boxes, you would place:

  • In the first response area: 6.49
  • In the second response area: 7