The average distance from earth to Mars is 2.25×10⁸ km, and the distance from earth to Neptune is 4.3514×10⁹ km. How much farther is Neptune from earth than Mars? Express your answer in scientific notation. Do not round your answer.
□km
The distance from Earth to Mars is 2.25×10⁸ km.
The distance from Earth to Neptune is 4.3514×10⁹ km.
To find 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.
Thus, the difference is:
4.3514×10⁹ km - 2.25×10⁸ km = 4.3514×10⁹ - 2.25×10⁸
= 42.8635×10⁸ km
However, we need to express the difference in scientific notation. So let's write 42.8635 in scientific notation:
42.8635 = 4.28635×10
Therefore, the difference in distance is 4.28635×10 x 10⁸ km in scientific notation.
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 Neptune: 4.3514 × 10⁹ km
Distance from Earth to Mars: 2.25 × 10⁸ km
Subtracting the two distances gives us:
4.3514 × 10⁹ km - 2.25 × 10⁸ km
To subtract these numbers, we need to express them in the same power of 10. So, let's convert the distance from Earth to Mars to scientific notation with the same power of 10 as the distance to Neptune.
2.25 × 10⁸ km = 2.25 × 10⁸ × 10¹ = 2.25 × 10⁹ km
Now we can subtract:
4.3514 × 10⁹ km - 2.25 × 10⁹ km = (4.3514 - 2.25) × 10⁹ km
Calculating the difference:
4.3514 - 2.25 = 2.1014
So, the difference in distance is:
2.1014 × 10⁹ km
Therefore, Neptune is 2.1014 × 10⁹ km farther from Earth than Mars.
To find out how much farther Neptune is from Earth than Mars, we need to subtract the average distance from Earth to Mars from the distance from Earth to Neptune.
Distance from Earth to Neptune - Distance from Earth to Mars
To subtract these two values, we need to express them in the same units. Since both distances are already given in kilometers, we can proceed to subtract them.
Distance from Earth to Neptune (4.3514×10⁹ km) - Distance from Earth to Mars (2.25×10⁸ km)
Now we can perform the subtraction:
4.3514×10⁹ km - 2.25×10⁸ km
To subtract numbers in scientific notation, we subtract the coefficient (the decimal part) and keep the same exponent.
= (4.3514 - 2.25) × 10⁹ km
Calculating the subtraction:
= 2.1014 × 10⁹ km
Therefore, Neptune is 2.1014 × 10⁹ km farther from Earth than Mars.