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 calculate the ratio of the two radii.

1. **Convert both radii to the same units** (miles):
- Earth's radius = 3,959 miles
- Jupiter's radius = \(4.3441 \times 10^4\) miles

2. **Calculate the ratio**:
\[
\text{Ratio} = \frac{\text{Jupiter's radius}}{\text{Earth's radius}} = \frac{4.3441 \times 10^4 \text{ miles}}{3,959 \text{ miles}}
\]

3. **Perform the division**:
\[
\text{Ratio} = \frac{4.3441 \times 10^4}{3,959}
\]

Calculating this using a calculator:
- First, calculate \( \frac{4.3441 \times 10^4}{3,959} \):
- The numerical division part: \( \frac{43441}{3959} \approx 10.96 \) (keeping full precision).
- Convert that into scientific notation by multiplying by \( 10^4 \) (which simplifies where needed):

Putting this together:
\[
\text{Ratio} \approx 10.96 \times 10^{0} \approx 1.096 \times 10^{1}
\]

Thus, Jupiter's radius is approximately \(1.096 \times 10^{1}\) times larger than Earth's radius when expressed in scientific notation.

**Final answer**:
\[
1.096 \times 10^{1} \text{ miles}
\]