The average distance from Earth to Mars is 2.25×10^8 km, and the distance from Earth to Neptune is 4.3514×10^9 km. How much farther is Neptune from Earth than Mars? Express your answer in scientific notation. Do not round your answer.
To find how much farther Neptune is from Earth than Mars, we have to subtract the distance from Earth to Mars from the distance from Earth to Neptune.
Distance from Earth to Mars: 2.25×10^8 km
Distance from Earth to Neptune: 4.3514×10^9 km
Neptune is 4.3514×10^9 - 2.25×10^8 = 4289919950 km farther from Earth than Mars.
In scientific notation, this is 4.28991995×10^9 km.
To find out how much farther Neptune is from Earth than Mars, we need to subtract the distance from Earth to Mars from the distance from Earth to Neptune.
Distance from Earth to Mars = 2.25×10^8 km
Distance from Earth to Neptune = 4.3514×10^9 km
Neptune is farther than Mars by:
4.3514×10^9 km - 2.25×10^8 km
To subtract the distances, we need to have the same power of 10. Since the power of 10 in the distance from Earth to Mars is 10^8 and the power of 10 in the distance from Earth to Neptune is 10^9, we can rewrite the distance to Mars as 0.225×10^9 km.
Now, we can subtract:
4.3514×10^9 km - 0.225×10^9 km
This gives us:
4.3514×10^9 km - 0.225×10^9 km = 4.1264×10^9 km
Therefore, Neptune is 4.1264×10^9 km farther from Earth than Mars.