The diameter of Mars is about 6.8 X 10 kilometers. The diameter of Earth is about 1.2763 X 10 kilometers. About how much greater is Earth's diameter than the diameter of Mars? Please answer in scientific notation.
Responses
A 5.963 X 10 kilometers5.963 X 103 kilometers
B 5.963 X 10 kilometers5.963 X 107 kilometers
C 59.63 X 10 kilometers59.63 X 103 kilometers
D 5.963 X 10 kilometers5.963 X 104 kilometers
To calculate the difference in diameter between Earth and Mars, we need to subtract the diameter of Mars from the diameter of Earth.
Earth's diameter = 1.2763 X 10 kilometers
Mars's diameter = 6.8 X 10 kilometers
Difference = Earth's diameter - Mars's diameter
Difference = (1.2763 X 10 kilometers) - (6.8 X 10 kilometers)
To subtract these numbers, we need to have them in the same exponent form. Let's convert Earth's diameter to scientific notation.
1.2763 X 10 kilometers = 0.12763 X 10^1 kilometers = 1.2763 X 10^1 kilometers
Now we can subtract the diameters:
Difference = (1.2763 X 10^1 kilometers) - (6.8 X 10 kilometers)
Difference = 1.2763 X 10^1 kilometers - 0.68 X 10^1 kilometers
Difference = (1.2763 - 0.68) X 10^1 kilometers
Difference = 0.5963 X 10^1 kilometers
To express the result in scientific notation, we need to move the decimal point one place to the right:
Difference = 5.963 X 10^0 kilometers
Therefore, the difference in diameter between Earth and Mars is 5.963 X 10 kilometers, which is option D.