Question

Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×10^4
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)
×

miles

Answer 1

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

1. **Earth's radius**: \( R_e = 3,959 \) miles
2. **Jupiter's radius**: \( R_j = 4.3441 \times 10^4 \) miles

Next, we calculate the ratio \( \frac{R_j}{R_e} \):

\[
\frac{R_j}{R_e} = \frac{4.3441 \times 10^4}{3,959}
\]

To perform the division, we can express \( 3,959 \) in scientific notation:

\[
3,959 = 3.959 \times 10^3
\]

Now we can rewrite the ratio:

\[
\frac{R_j}{R_e} = \frac{4.3441 \times 10^4}{3.959 \times 10^3} = \frac{4.3441}{3.959} \times \frac{10^4}{10^3} = \frac{4.3441}{3.959} \times 10^{4-3} = \frac{4.3441}{3.959} \times 10^1
\]

Now we calculate \( \frac{4.3441}{3.959} \):

\[
\frac{4.3441}{3.959} \approx 1.095
\]

Now substituting this value back into the equation:

\[
\frac{R_j}{R_e} \approx 1.095 \times 10^1
\]

So, the final answer in scientific notation is:

\[
\boxed{1.095 \times 10^1}
\]

This means that Jupiter's radius is approximately \( 10.95 \) times larger than Earth's radius.