To find out how much bigger Jupiter's radius is compared to Earth's radius, we can use the following formula:
\[ \text{Ratio} = \frac{\text{Jupiter's radius}}{\text{Earth's radius}} \]
Given:
- Earth’s radius \( r_E = 3,959 \) miles
- Jupiter’s radius \( r_J = 4.3441 \times 10^4 \) miles
Now, we will calculate the ratio:
\[ \text{Ratio} = \frac{4.3441 \times 10^4}{3,959} \]
First, let's divide \( 4.3441 \) by \( 3,959 \):
\[ \frac{4.3441}{3,959} \approx 1.096 \]
Next, we'll account for the \( 10^4 \) factor. Thus, the calculation becomes:
\[ \text{Ratio} \approx 1.096 \times 10^4 \]
Now we express this in scientific notation. Since \( 1.096 \) is in the range of \( 1 \) to \( 10 \), we can write the final answer as:
\[ \text{Jupiter's radius is approximately } 1.096 \times 10^4 \text{ times larger than Earth's radius.} \]
The final expression in scientific notation is:
\[ 1.096 \times 10^4 \text{ miles} \]
To summarize, Jupiter's radius is approximately \( 1.096 \times 10^4 \) times that of Earth's.