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