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Bot GPT 4-o mini 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**