Question

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

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

Given:
- Earth's radius = \(3,959\) miles
- Jupiter's radius = \(4.3441 \times 10^4\) miles

Now, first, we need to convert Earth's radius into scientific notation for easier calculation:

\[
3,959 \text{ miles} = 3.959 \times 10^3 \text{ miles}
\]

Now, we calculate the difference:

\[
\text{Difference in radius} = (4.3441 \times 10^4) - (3.959 \times 10^3)
\]

To perform the subtraction, we need to express the two numbers with the same exponent. We convert \(3.959 \times 10^3\) into \(10^4\):

\[
3.959 \times 10^3 = 0.3959 \times 10^4
\]

Now, we can rewrite the subtraction as:

\[
\text{Difference} = (4.3441 \times 10^4) - (0.3959 \times 10^4) = (4.3441 - 0.3959) \times 10^4
\]

Now we perform the subtraction:

\[
4.3441 - 0.3959 = 3.9482
\]

So, now we have:

\[
\text{Difference} = 3.9482 \times 10^4
\]

Thus, the radius of Jupiter is approximately:

\[
3.9482 \times 10^4 \text{ miles bigger than Earth's radius.}
\]

Final answer:

\[
\boxed{3.9482 \times 10^4} \text{ miles}
\]