Question

Earths radius is 3,959
Jupiters is approx. 4.3441 x 10^4

scientific notation
How much bigger
don't round your answer

Answer 1

To compare the radii of Earth and Jupiter, we need to express both in scientific notation.

1. Earth's radius:
\[
3,959 \approx 3.959 \times 10^3 \text{ miles}
\]

2. Jupiter's radius:
\[
4.3441 \times 10^4 \text{ miles}
\]

Next, we find how much bigger Jupiter's radius is compared to Earth's by dividing Jupiter's radius by Earth's radius:

\[
\text{Size ratio} = \frac{\text{Jupiter's radius}}{\text{Earth's radius}} = \frac{4.3441 \times 10^4}{3.959 \times 10^3}
\]

To perform this division, first divide the numerical parts:

\[
\frac{4.3441}{3.959} \approx 1.096
\]

Now, divide the powers of ten:

\[
\frac{10^4}{10^3} = 10^{4-3} = 10^1
\]

Putting it all together:
\[
\text{Size ratio} \approx 1.096 \times 10^1 = 10.96
\]

Thus, Jupiter's radius is approximately **10.96 times larger** than Earth's radius.