earths 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 earths? express your answer in scientific notation. do not round your answer.
Jupiter's radius is approximately 4.3441 x 10^4 miles and Earth's radius is approximately 3.959 x 10^3 miles. To determine how much larger Jupiter's radius is, you must divide Jupiter's radius by Earth's radius.
So you have (4.3441 x 10^4) / (3.959 x 10^3)
We can simplify using scientific notation by subtracting the exponents:
= 4.3441/3.959 x 10^(4-3) = 1.09725 x 10^1
Therefore, Jupiter's radius is about 1.09725 x 10^1 times larger than Earth's radius.
To determine how much bigger Jupiter's radius is compared to Earth's, we need to calculate the ratio between the two radii.
The ratio is given by:
Jupiter's radius / Earth's radius
Using the values provided:
Jupiter's radius = 4.3441 x 10^4 miles
Earth's radius = 3,959 miles
Dividing Jupiter's radius by Earth's radius:
(4.3441 x 10^4 miles) / (3,959 miles)
To simplify, we divide the number and subtract the exponents:
= 1.0965 x 10^(4 - 3)
Simplifying further gives:
= 1.0965 x 10^1
Therefore, Jupiter's radius is 10.965 times bigger than Earth's radius.
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 x 10^4 miles
Earth's radius: 3,959 miles
To subtract these values, we need to simplify them to the same units. Since we want the answer in scientific notation, we need to convert Earth's radius to scientific notation as well.
Earth's radius in scientific notation: 3.959 x 10^3 miles
Now, we can subtract:
Jupiter's radius - Earth's radius: (4.3441 x 10^4 miles) - (3.959 x 10^3 miles)
Subtracting the values inside the parentheses:
4.3441 x 10^4 - 3.959 x 10^3
To subtract these numbers, they need to have the same exponent. Let's align the exponents by moving the decimal in 3.959 x 10^3 one place to the right:
4.3441 x 10^4 - 39.59 x 10^2
Now, we can subtract the values:
4.3441 x 10^4 - 39.59 x 10^2 = 4.3441 x 10^4 - 0.3959 x 10^4
Subtracting the values inside the parentheses:
4.3441 x 10^4 - 0.3959 x 10^4 = 3.9482 x 10^4
Therefore, Jupiter's radius is approximately 3.9482 x 10^4 miles bigger than Earth's radius.