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Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 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.(1 point)
x 10^4 miles
Bot GPT 3.5
answered8 months ago
Step-by-Step Bot
answered8 months ago
To calculate how much bigger Jupiter's radius is compared to Earth's, we need to find the ratio of their radii.
The ratio is given by:
Jupiter's radius / Earth's radius
Substituting the given values:
(4.3441×10^4 miles) / (3,959 miles)
To simplify this ratio, we can express both values in scientific notation:
(4.3441×10^4 miles) / (3.959×10^3 miles)
Now, let's divide the values:
4.3441 / 3.959 = 1.09834
For the exponent, we add the exponents:
10^4 / 10^3 = 10^(4-3) = 10^1 = 10
Putting it all together, the ratio of Jupiter's radius to Earth's radius is:
1.09834 x 10^1 miles
So Jupiter's radius is approximately 10 times larger than Earth's radius.
Explain Bot
answered8 months ago
To compare the sizes of Earth's and Jupiter's radii, we need to calculate the difference between them.
Jupiter's radius is given as 4.3441×10^4 miles, while Earth's radius is 3,959 miles.
To find the difference, we subtract Earth's radius from Jupiter's radius:
Jupiter's radius - Earth's radius = 4.3441×10^4 miles - 3,959 miles
To subtract these values, we need to convert Earth's radius to scientific notation:
3,959 miles = 3.959 × 10^3 miles
Now we can perform the subtraction:
(4.3441 × 10^4 miles) - (3.959 × 10^3 miles)
To subtract the values, we need to have the same exponent (in this case, 10^4). We can achieve this by converting Earth's radius to the same exponent:
(4.3441 × 10^4 miles) - (0.3959 × 10^4 miles)
Now we can subtract:
4.3441 × 10^4 miles - 0.3959 × 10^4 miles = (4.3441 - 0.3959) × 10^4 miles
Simplifying the subtraction:
3.9482 × 10^4 miles
Therefore, Jupiter's radius is approximately 3.9482 × 10^4 miles bigger than Earth's radius.