Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×104 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)
To find the difference in radius between Earth and Jupiter, we subtract Earth's radius from Jupiter's radius:
Jupiter's radius - Earth's radius = (4.3441×10^4) miles - 3,959 miles = 4.3441×10^4 - 3.959 × 10^3 = 4.348 × 10^4 - 3.959 × 10^3 = 4.3441 × 10^4 - 3.959 × 10^3 = 4.348 × 10^4 - 3.959 × 10^3 = 4.348 × 10^4
So, Jupiter's radius is approximately 4.348 × 10^4 miles bigger than Earth's radius.
To find out how much bigger Jupiter's radius is compared to Earth's, we can calculate the ratio of their radii.
The ratio of Jupiter's radius to Earth's radius is given by:
Jupiter's radius / Earth's radius
Substituting the given values:
(4.3441 × 10^4 miles) / (3.959 miles)
To divide these numbers in scientific notation, we need to subtract the exponents:
4.3441 × 10^4 / 3.959 × 10^0
Dividing the decimals gives us:
1.0972 × 10^4
So, Jupiter's radius is approximately 1.0972 × 10^4 times bigger than Earth's radius.
To find out how much bigger Jupiter's radius is compared to Earth's, we can calculate the ratio of the two radii.
The ratio is found by dividing Jupiter's radius by Earth's radius:
Ratio = Jupiter's radius / Earth's radius
In scientific notation, let's express Earth's radius as 3.959 × 10^3 miles and Jupiter's radius as 4.3441 × 10^4 miles:
Ratio = (4.3441 × 10^4) / (3.959 × 10^3)
To divide numbers in scientific notation, we divide the main values and subtract the exponents:
Ratio = 4.3441 / 3.959 × (10^4 / 10^3)
Simplifying the exponents:
Ratio = 4.3441 / 3.959 × 10^(4 - 3)
Calculating the division:
Ratio = 1.097 × 10^1
Therefore, Jupiter's radius is approximately 1.097 × 10^1 times bigger than Earth's radius in scientific notation.