A average distance from Earth to Mars is 2.25x10^8 km, and the distance from Earth to Neptune is 4.3514x10^9 km. How much farther is Neptune from Earth than Mars? Express your answer in scientific notation. Do not round your answer.
To find the difference in distance between Neptune and Mars, we need to subtract the distance from Earth to Mars from the distance from Earth to Neptune.
The distance from Earth to Mars is 2.25x10^8 km.
The distance from Earth to Neptune is 4.3514x10^9 km.
Therefore, the difference in distance is 4.3514x10^9 km - 2.25x10^8 km.
To subtract the two distances, we can write both distances in scientific notation with the same exponent by moving the decimal point in 2.25x10^8 km one place to the right:
2.25x10^8 km = 2.25x10^9 km x 10^(-1).
Now we can subtract the two distances:
4.3514x10^9 km - 2.25x10^9 km x 10^(-1).
= 4.3514x10^9 km - 2.25x10^9 km x 10^(-1).
= 4.3514x10^9 km - 2.25x10^9 km x 10^(-1).
= 43.514x10^8 km - 2.25x10^9 km.
= 43.514x10^8 km - 2.25x10^9 km.
= (43.514 - 2.25)x10^9 km.
= 41.264x10^9 km.
Therefore, Neptune is 4.1264x10^10 km farther from Earth than Mars.
To find how much farther Neptune is from Earth than Mars, we can subtract the distance from Earth to Mars from the distance from Earth to Neptune.
The distance from Earth to Mars is 2.25x10^8 km.
The distance from Earth to Neptune is 4.3514x10^9 km.
Now, let's subtract these two values:
4.3514x10^9 km - 2.25x10^8 km
To subtract these values, we need to make sure they are written in the same scientific notation, so let's convert 2.25x10^8 km to the same exponent as 4.3514x10^9 km:
2.25x10^8 km = 0.225x10^9 km
Now we can subtract and simplify:
4.3514x10^9 km - 0.225x10^9 km = 4.1264x10^9 km
Therefore, Neptune is approximately 4.1264x10^9 km farther from Earth than Mars.
To find out how much farther Neptune is from Earth than Mars, we need to subtract the distance between Mars and Earth from the distance between Neptune and Earth.
Given:
Distance from Earth to Mars = 2.25x10^8 km
Distance from Earth to Neptune = 4.3514x10^9 km
Subtracting these two distances, we get:
4.3514x10^9 km - 2.25x10^8 km
To perform this subtraction, we need to express the numbers in the same power of 10. We can rewrite 2.25x10^8 km as 0.225x10^9 km.
Now, we can subtract the distances:
4.3514x10^9 km - 0.225x10^9 km
To subtract the numbers, we only subtract the coefficients and keep the same power of 10:
= (4.3514 - 0.225)x10^9 km
Calculating the subtraction:
= 4.1264x10^9 km
Therefore, Neptune is approximately 4.1264x10^9 km farther from Earth than Mars.