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.(1 point)
To find out how much bigger Jupiter's radius is compared to Earth's, we can divide Jupiter's radius by Earth's radius.
This can be expressed as:
Jupiter's radius / Earth's radius = (4.3441×10^4) miles / 3,959 miles
To divide these numbers when they are in scientific notation, we subtract the exponents of the 10s and divide the coefficients.
So, (4.3441×10^4) miles / 3,959 miles = 4.3441 × 10^(4-3.959) miles
Simplifying the exponent:
4.3441 × 10^(4-3.959) miles = 4.3441 × 10^0.041 miles
Therefore, Jupiter's radius is approximately 4.3441 × 10^0.041 miles bigger than Earth's radius.
To determine how much bigger Jupiter's radius is compared to Earth's, we can simply divide Jupiter's radius by Earth's radius.
Jupiter's radius = 4.3441×10^4 miles
Earth's radius = 3,959 miles
Dividing Jupiter's radius by Earth's radius:
4.3441×10^4 miles / 3,959 miles
This can be simplified by dividing the numbers and subtracting the exponents:
= (4.3441 / 3,959) × 10^(4 - 0)
= 1.097 × 10^4
Therefore, Jupiter's radius is 1.097 × 10^4 times bigger than Earth's radius.
To find out how much bigger Jupiter's radius is compared to Earth's, we can 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:
Jupiter's radius - Earth's radius = (4.3441×10^4 miles) - (3,959 miles)
Converting Earth's radius to scientific notation:
Earth's radius = 3.959 × 10^3 miles
Substituting the values:
(4.3441×10^4 miles) - (3.959 × 10^3 miles)
Using the subtraction rule for numbers in scientific notation:
(4.3441 - 3.959) × 10^4 miles
Calculating the difference:
0.3851 × 10^4 miles
In scientific notation, this is:
3.851 × 10^3 miles
So, Jupiter's radius is approximately 3.851 × 10^3 miles bigger than Earth's radius.
are you sure?
Apologies for the confusion. I made a mistake in the calculation.
To find out how much bigger Jupiter's radius is compared to Earth's, we can divide Jupiter's radius by Earth's radius.
Jupiter's radius = 4.3441×10^4 miles
Earth's radius = 3,959 miles
Dividing Jupiter's radius by Earth's radius:
(4.3441×10^4 miles) / (3,959 miles)
To divide the coefficients, we get:
(4.3441 / 3,959) × 10^(4 - 0)
Simplifying the exponent:
= 1.096 × 10^1
Therefore, Jupiter's radius is approximately 1.096 × 10^1 times bigger than Earth's radius.