To find out how much bigger Jupiter's radius is compared to Earth's, we can divide Jupiter's radius by Earth's radius.
Jupiter's radius: \( 4.3441 \times 10^4 \) miles
Earth's radius: \( 3959 \) miles
First, we convert Earth's radius to scientific notation:
\[ 3959 \approx 3.959 \times 10^3 \text{ miles} \]
Now, we can calculate the ratio:
\[ \text{Ratio} = \frac{\text{Jupiter's radius}}{\text{Earth's radius}} = \frac{4.3441 \times 10^4}{3.959 \times 10^3} \]
This can be simplified by dividing the coefficients and subtracting the exponents:
First, divide the coefficients:
\[ \frac{4.3441}{3.959} \approx 1.0966 \]
Next, divide the powers of ten:
\[ 10^4 / 10^3 = 10^{4 - 3} = 10^1 \]
Now, combine the results:
\[ \text{Ratio} \approx 1.0966 \times 10^1 \]
To express this in scientific notation, we can write it as:
\[ 1.0966 \times 10^1 \approx 1.0966 \times 10^1 \text{ (this is the result in scientific notation)} \]
Final result: Jupiter's radius is approximately \( 1.0966 \times 10^1 \) times bigger than Earth's radius, which can also be rounded to \( 1.1 \times 10^1 \) for simplicity.