Answer :
To determine how many times the mass of Jupiter is relative to the mass of Venus, follow these steps:
1. Identify the given masses:
- Mass of Venus ([tex]\(M_{\text{Venus}}\)[/tex]) = [tex]\(4.87 \times 10^{24}\)[/tex] kilograms.
- Mass of Jupiter ([tex]\(M_{\text{Jupiter}}\)[/tex]) = [tex]\(1,898 \times 10^{24}\)[/tex] kilograms.
2. Calculate the mass ratio:
- The mass ratio is found by dividing the mass of Jupiter by the mass of Venus:
[tex]\[ \frac{M_{\text{Jupiter}}}{M_{\text{Venus}}} = \frac{1,898 \times 10^{24}}{4.87 \times 10^{24}} \][/tex]
3. Simplify the equation:
- The [tex]\(10^{24}\)[/tex] cancels out on both the numerator and the denominator:
[tex]\[ \frac{1,898}{4.87} \approx 389.73305954825463 \][/tex]
4. Round to the nearest whole number:
- The result from the division is approximately 389.733.
- Rounding 389.733 to the nearest whole number results in 390.
Therefore, the mass of Jupiter is about 390 times the mass of Venus.
1. Identify the given masses:
- Mass of Venus ([tex]\(M_{\text{Venus}}\)[/tex]) = [tex]\(4.87 \times 10^{24}\)[/tex] kilograms.
- Mass of Jupiter ([tex]\(M_{\text{Jupiter}}\)[/tex]) = [tex]\(1,898 \times 10^{24}\)[/tex] kilograms.
2. Calculate the mass ratio:
- The mass ratio is found by dividing the mass of Jupiter by the mass of Venus:
[tex]\[ \frac{M_{\text{Jupiter}}}{M_{\text{Venus}}} = \frac{1,898 \times 10^{24}}{4.87 \times 10^{24}} \][/tex]
3. Simplify the equation:
- The [tex]\(10^{24}\)[/tex] cancels out on both the numerator and the denominator:
[tex]\[ \frac{1,898}{4.87} \approx 389.73305954825463 \][/tex]
4. Round to the nearest whole number:
- The result from the division is approximately 389.733.
- Rounding 389.733 to the nearest whole number results in 390.
Therefore, the mass of Jupiter is about 390 times the mass of Venus.
