Earth's radius is approximately 3,959 miles, while Jupiter's radius is approximately 4.3441×10

Question

4
miles. How much bigger is Jupiter's radius compared to Earth's?
Express your answer in scientific notation. Do not round your answer. (1 point)
____ \times ____ miles

Answer 1

To find out how much bigger Jupiter's radius is compared to Earth's, you can divide Jupiter's radius by Earth's radius:

1. Earth's radius: \( R_E = 3,959 \) miles
2. Jupiter's radius: \( R_J \approx 4.3441 \times 10^4 \) miles

Now, calculate the factor by which Jupiter's radius is larger:

\[ \frac{R_J}{R_E} = \frac{4.3441 \times 10^4}{3,959} \]

Performing the calculation:

\[ \frac{4.3441 \times 10^4}{3,959} \approx \frac{4.3441}{3.959} \times 10^4 \]

Calculating \(\frac{4.3441}{3.959} \approx 1.096\) (not rounded yet):

So:

\[ \frac{R_J}{R_E} \approx 1.096 \times 10^4 \]

Now, we express \(1.096\) in scientific notation:

\[ 1.096 \approx 1.096 \times 10^{0} \]

Therefore:

\[ \frac{R_J}{R_E} \approx 1.096 \times 10^4 \times 10^{0} = 1.096 \times 10^{4 + 0} = 1.096 \times 10^4 \]

Thus, Jupiter's radius is approximately:

\[ 1.096 \times 10^4 \text{ miles} \text{ larger than Earth's radius.} \]

Expressing your answer in scientific notation:

\[ 1.096 \times 10^4 \]

So the answer is:

\[ 1.096 \times 10^{4} \text{ miles} \]