Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441x10^4 miles. How much bigger is Jupiter’s radius compared to Earth’s? Express your answer in scientific notation. Do not round your answer.
To find the difference in radii between Jupiter and Earth, we subtract Earth's radius from Jupiter's radius: 4.3441x10^4 - 3,959 = 4.3041x10^4.
Thus, Jupiter's radius is approximately 4.3041x10^4 miles bigger than Earth's radius.
To determine how much bigger Jupiter's radius is compared to Earth's, we need to find the ratio between the two radii.
1. Earth's radius: 3,959 miles
2. Jupiter's radius: 4.3441 × 10^4 miles
To calculate the ratio, we divide Jupiter's radius by Earth's radius:
Jupiter's radius / Earth's radius = (4.3441 × 10^4) / (3,959)
To divide these numbers, we can write them both in scientific notation so that the decimal points align:
(4.3441 × 10^4) / (3,959) = (4.3441 × 10^4) / (3.959 × 10^3)
When dividing numbers in scientific notation, we subtract the exponents:
= 4.3441 / 3.959 × 10^(4-3)
Simplifying further:
= 1.0976 × 10^(4-3)
= 1.0976 × 10^1
= 10.976
Therefore, Jupiter's radius is approximately 10.976 times 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 between their radii.
The ratio can be calculated by dividing Jupiter's radius by Earth's radius:
Ratio = Jupiter's radius / Earth's radius
Jupiter's radius = 4.3441x10^4 miles
Earth's radius = 3,959 miles
Ratio = (4.3441x10^4) / 3,959
To simplify the calculation, we can express Earth's radius in scientific notation:
Earth's radius = 3,959 = 3.959x10^3 miles
Now, let's calculate the ratio:
Ratio = (4.3441x10^4) / (3.959x10^3)
To divide numbers in scientific notation, we divide their coefficients and subtract their exponents:
Ratio = (4.3441/3.959) x 10^(4-3)
Ratio = 1.097 x 10^1
Thus, Jupiter's radius is 1.097x10^1 times bigger than Earth's radius.