Type the correct answer in the box. Round your answer to the nearest whole number.

The mass of Venus is [tex]$4.87 \times 10^{24}$[/tex] kilograms, and the mass of Jupiter is [tex][tex]$1,898 \times 10^{24}$[/tex][/tex] kilograms.

The mass of Jupiter is about [tex]$\square$[/tex] times the mass of Venus.



Answer :

To determine how many times the mass of Jupiter is compared to the mass of Venus, we need to divide the mass of Jupiter by the mass of Venus.

Given:
- The mass of Venus [tex]\( M_V = 4.87 \times 10^{24} \)[/tex] kilograms
- The mass of Jupiter [tex]\( M_J = 1,898 \times 10^{24} \)[/tex] kilograms

We can set up the ratio as follows:

[tex]\[ \frac{M_J}{M_V} = \frac{1,898 \times 10^{24}}{4.87 \times 10^{24}} \][/tex]

The [tex]\( 10^{24} \)[/tex] terms in the numerator and the denominator cancel out, simplifying our calculation to:

[tex]\[ \frac{1,898}{4.87} \][/tex]

Now, we perform the division:

[tex]\[ \frac{1,898}{4.87} \approx 389.12 \][/tex]

Finally, we round this result to the nearest whole number:

[tex]\[ 389.12 \approx 389 \][/tex]

Therefore, the mass of Jupiter is about 389 times the mass of Venus.