To find out how much bigger Jupiter's radius is compared to Earth's radius, we can calculate the ratio of the two radii.
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Convert both radii to the same units (miles):
- Earth's radius = 3,959 miles
- Jupiter's radius = \(4.3441 \times 10^4\) miles
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Calculate the ratio: \[ \text{Ratio} = \frac{\text{Jupiter's radius}}{\text{Earth's radius}} = \frac{4.3441 \times 10^4 \text{ miles}}{3,959 \text{ miles}} \]
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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: \[ 1.096 \times 10^{1} \text{ miles} \]
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