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.
To compare the sizes of Earth's and Jupiter's radii, we need to calculate the ratio of Jupiter's radius to Earth's radius.
The ratio is given by:
Jupiter's radius / Earth's radius.
Given that Earth's radius is approximately 3,959 miles and Jupiter's radius is approximately 4.3441×10^4 miles, the ratio is:
(4.3441×10^4 miles) / (3,959 miles)
To express this ratio in scientific notation, we divide the two numbers:
(4.3441×10^4 miles) / (3,959 miles) = 1.0974204363...
Since we are asked to express the answer in scientific notation and not round it, the answer is:
1.0974204363 × 10^0.
However, if we wanted to simplify the scientific notation, we could express it as:
1.0974204363× 10^0 = 1.0974204363 × 1 = 1.0974204363.
Therefore, Jupiter's radius is 1.0974204363 times bigger than Earth's radius.
To find out how much bigger Jupiter's radius is compared to Earth's, we need to divide Jupiter's radius by Earth's radius.
Jupiter's radius = 4.3441×10^4 miles
Earth's radius = 3,959 miles
So, the ratio of Jupiter's radius to Earth's radius is:
(4.3441×10^4) / (3,959)
To express this answer in scientific notation, we calculate the exponent by subtracting the number of decimal places in the numerator (5) from the number of decimal places in the denominator (0).
Therefore, the answer in scientific notation is:
4.3441×10^4 / 3,959 = 1.0979×10^1
To determine how much bigger Jupiter's radius is compared to Earth's, we need to calculate the ratio of their radii.
First, let's express the radii in scientific notation:
Earth's radius = 3,959 miles = 3.959 × 10^3 miles
Jupiter's radius = 4.3441 × 10^4 miles
To compare the sizes, divide Jupiter's radius by Earth's radius:
(Jupiter's radius) / (Earth's radius) = (4.3441 × 10^4 miles) / (3.959 × 10^3 miles)
When dividing numbers written in scientific notation, we divide the coefficients (the decimal numbers) and subtract the exponents:
(4.3441 / 3.959) × (10^4 / 10^3) = 1.09643 × 10^(4-3)
Simplifying further:
1.09643 × 10^(4-3) = 1.09643 × 10^1 = 10.9643
Therefore, Jupiter's radius is approximately 10.9643 times bigger than Earth's radius.