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.