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:
- Calculate the ratio of Jupiter's radius to Earth's radius:
\[ \text{Ratio} = \frac{\text{Jupiter's radius}}{\text{Earth's radius}} = \frac{43,441 \text{ miles}}{3,959 \text{ miles}} \]
- 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:
- To compare in terms of scientific notations, we can express the ratio:
\[ \text{Comparison} = \frac{4.3441 \times 10^4}{3.959 \times 10^3} \]
- 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:
\[ 1.1 \times 10^1 \quad (\text{indicating Jupiter's radius is roughly 11 times bigger}) \]
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.
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