Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×10^4

Question

4.3441
×
10
4
miles. How much bigger is Jupiter’s radius compared to Earth’s? Express your answer in scientific notation. Do not round your answer.

Answer 1

To find out how much bigger Jupiter's radius is compared to Earth's radius, we can use the following formula:

\[ \text{Factor by which Jupiter's radius is larger} = \frac{\text{Jupiter's radius}}{\text{Earth's radius}} \]

Using the given values:

• Earth's radius \( r_E \approx 3,959 \) miles
• Jupiter's radius \( r_J \approx 4.3441 \times 10^4 \) miles

Now, we can substitute these values:

\[ \text{Factor} = \frac{4.3441 \times 10^4}{3,959} \]

Now, let's perform the division step by step:

1. First, divide the numerical parts:

\[ \frac{4.3441}{3,959} \approx 0.001095 \]

2. Now divide the powers of ten:

\[ 10^{4}/10^{0} = 10^4 \]

Now multiply the results:

\[ 0.001095 \times 10^4 = 1.095 \times 10^{1} \]

3. Finally, express the answer in scientific notation. We simply write:

\[ \frac{4.3441 \times 10^4}{3,959} = 1.095 \times 10^1 \]

Thus, Jupiter's radius is approximately \( 1.095 \times 10^1 \), or 10.95 times larger than Earth's radius when expressed in scientific notation.