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)
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miles
To find out how much bigger Jupiter's radius is compared to Earth's, we subtract Earth's radius from Jupiter's radius.
Jupiter's radius: 4.3441×10^4 miles
Earth's radius: 3,959 miles
Subtracting Earth's radius from Jupiter's radius:
4.3441×10^4 miles - 3,959 miles = 4.3441×10^4 - 3.959×10^3 = 4.3441×10^4 - 0.3959×10^4 = 3.9482×10^4
Therefore, Jupiter's radius is approximately 3.9482×10^4 miles bigger than Earth's.
To find the difference in radius between Jupiter and Earth, we subtract the radius of Earth from the radius of Jupiter.
Jupiter's radius - Earth's radius = (4.3441×10^4) miles - 3959 miles
= 4.30415×10^4 miles
To determine how much bigger Jupiter's radius is compared to Earth's, we need to calculate the ratio between the two radii.
Let's express both Earth's radius and Jupiter's radius in scientific notation to make calculations easier.
Earth's radius = 3,959 miles = 3.959 × 10^3 miles (in scientific notation)
Jupiter's radius = 4.3441 × 10^4 miles (already in scientific notation)
Now, to compute the ratio, we divide Jupiter's radius by Earth's radius:
Ratio = Jupiter's radius / Earth's radius
Ratio = (4.3441 × 10^4 miles) / (3.959 × 10^3 miles)
To divide numbers in scientific notation, we divide the coefficients (the numbers in front) and subtract the exponents.
Ratio = 4.3441 / 3.959 × 10^(4-3) miles
Ratio = 1.098 × 10^1 miles (in scientific notation)
Therefore, Jupiter's radius is approximately 1.098 × 10^1 times bigger than Earth's radius.