y 3,959 miles, while Jupiter’s radius is

Question

approximately 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)
4.3441 × 10
4

Answer 1

To compare the radius of Jupiter to that of Earth, we first need to confirm the radius of both planets.

The average radius of Earth is approximately 3,959 miles. The average radius of Jupiter is about 43,441 miles.

To find out how much bigger Jupiter's radius is compared to Earth's radius:

1. Calculate the ratio of Jupiter's radius to Earth's radius:

$$\text{Ratio}=\frac{\text{Jupiter's radius}}{\text{Earth's radius}}=\frac{43,441\text{ miles}}{3,959\text{ miles}}$$

2. Performing the division:

$$\text{Ratio}=11$$

Now, in scientific notation, we notice that:

$$\text{Jupiter's radius}=43,441=4.3441\times {10}^4$$ $$\text{Earth's radius}=3,959=3.959\times {10}^3$$

Thus, comparing the two radii in scientific notation:

1. To compare in terms of scientific notations, we can express the ratio:

$$\text{Comparison}=\frac{4.3441\times {10}^4}{3.959\times {10}^3}$$

2. Simplifying this,

$$\text{Comparison}=\frac{4.3441}{3.959}\times \frac{{10}^4}{{10}^3}=1.0966\times {10}^{4-3}=1.0966\times {10}^1$$

However, this approach is valid when comparing radius values in a simplified manner, where we are more interested in how much larger the radius is without recalibrating into same power of ten. Since Jupiter's radius is about 11 times larger than Earth's radius, we can report:

Thus, the final answer for how much bigger Jupiter's radius is compared to Earth's in scientific notation can be approximated as:

$$1.1\times {10}^1(\text{indicating Jupiter's radius is roughly 11 times bigger})$$

If you specifically want the ratio of the radius values in scientific notation without simplification, we stick with the numbers provided:

$$\frac{4.3441\times {10}^4}{3.959\times {10}^3}\approx 1.0966\times {10}^1$$

Should you need it as per your instructed format here’s the direct pointer:

Jupiter is approximately $1.1\times {10}^1$ times bigger than Earth's radius.