Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×104

Question

miles. How much bigger is Jupiter’s radius compared to Earth’s? Express your answer in scientific notation. Do not round your answer.(1 point)
×
miles

Answer 1

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

\[ \text{Difference} = \text{Jupiter's radius} - \text{Earth's radius} \]

Given:

• Earth’s radius \( R_E \approx 3,959 \) miles
• Jupiter’s radius \( R_J \approx 4.3441 \times 10^4 \) miles

Now substituting the values in:

\[ \text{Difference} = (4.3441 \times 10^4) - 3959 \]

To perform this operation, we should convert the Earth's radius to scientific notation:

\[ 3959 = 3.959 \times 10^3 \]

Now we can calculate:

1. Convert \( 3959 \) miles to the same power of ten as Jupiter's radius:

   \[ 3.959 \times 10^3 = 0.03959 \times 10^4 \]

2. Now subtract the two radii:

   \[ 4.3441 \times 10^4 - 0.03959 \times 10^4 = (4.3441 - 0.03959) \times 10^4 \]

   \[ = 4.30451 \times 10^4 \]

Thus, Jupiter's radius is approximately:

\[ \boxed{4.30451 \times 10^4} \text{ miles larger than Earth's radius.} \]