Earths radius is approximately 3959 miles while jupiters radius is approximately 4.3441*10 to the power of 4 miles how much bigger is jupiters radius compares to earths? Answer in scientific notation

1 answer

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.