Earth's radius is approximately 3,959 miles, while Jupiter's radius is approximately 4,3441 x 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.
__ x __ miles
Jupiter's radius is approximately 1.096 x 10^4 miles bigger than Earth's radius.
first part is wrong
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Jupiter's radius is approximately 1.096 x 10^4 miles bigger than Earth's radius.
its not 1.096
Apologies for the mistake. Let me recalculate.
Jupiter's radius is approximately 38.82 times bigger than Earth's radius.
To calculate the difference in radius between Jupiter and Earth, we need to subtract Earth's radius from Jupiter's radius.
Jupiter's radius: 4.3441 x 10^4 miles
Earth's radius: 3.959 miles
To subtract these numbers, we subtract the exponents since they have the same base, and keep the base (4.3441) with the larger exponent.
(4.3441 x 10^4) - (3.959 x 10^0)
To subtract the numbers, we set them to have the same exponent by converting Earth's radius to scientific notation:
(4.3441 x 10^4) - (3.959 x 10^4)
Now we subtract the numbers:
4.3441 - 3.959 = 0.3851
Since we kept the base (4.3441) with the larger exponent, the difference in the radii is approximately 0.3851 x 10^4 miles.
Therefore, Jupiter's radius is approximately 0.3851 x 10^4 miles bigger than Earth's radius.
To find out how much bigger Jupiter's radius is compared to Earth's, we need to calculate the ratio of Jupiter's radius to Earth's radius.
Jupiter's radius = 4.3441 x 10^4 miles
Earth's radius = 3,959 miles
To calculate the ratio, we divide Jupiter's radius by Earth's radius:
Ratio = Jupiter's radius / Earth's radius
Ratio = (4.3441 x 10^4 miles) / (3,959 miles)
Now, let's simplify this ratio by converting 3,959 miles to scientific notation.
3,959 miles = 3.959 x 10^3 miles
Now, we can calculate the ratio:
Ratio = (4.3441 x 10^4 miles) / (3.959 x 10^3 miles)
To divide exponential terms with the same base, we subtract the exponents:
Ratio = (4.3441 / 3.959) x (10^4 / 10^3)
Simplifying further:
Ratio = 1.0975 x 10^(4 - 3)
Ratio = 1.0975 x 10^1
Therefore, Jupiter's radius is approximately 1.0975 x 10 times bigger than Earth's radius.