Question

Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×104
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 use the following formula:

\[
\text{Difference} = \text{Jupiter's radius} - \text{Earth's radius}
\]

Given:
- Earth’s radius \( R_E \approx 3,959 \) miles
- Jupiter’s radius \( R_J \approx 4.3441 \times 10^4 \) miles

Now substituting the values in:

\[
\text{Difference} = (4.3441 \times 10^4) - 3959
\]

To perform this operation, we should convert the Earth's radius to scientific notation:

\[
3959 = 3.959 \times 10^3
\]

Now we can calculate:

1. Convert \( 3959 \) miles to the same power of ten as Jupiter's radius:

\[
3.959 \times 10^3 = 0.03959 \times 10^4
\]

2. Now subtract the two radii:

\[
4.3441 \times 10^4 - 0.03959 \times 10^4 = (4.3441 - 0.03959) \times 10^4
\]

\[
= 4.30451 \times 10^4
\]

Thus, Jupiter's radius is approximately:

\[
\boxed{4.30451 \times 10^4} \text{ miles larger than Earth's radius.}
\]