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 the difference in distance, we subtract the distance from Mars from the distance from Neptune:
4.3514×10^9 km - 2.25×10^8 km
To subtract these numbers, we need to have them in the same scientific notation.
We can write 2.25×10^8 km as 0.225 × 10^9 km, since 2.25 = 0.225 × 10.
Now we can subtract the distances:
4.3514×10^9 km - 0.225 × 10^9 km
= (4.3514 - 0.225) × 10^9 km
= 4.1264 × 10^9 km
So Neptune is 4.1264 × 10^9 km farther from Earth than Mars.
To find how much farther Neptune is from Earth than Mars, we need to calculate the difference between the distance from Earth to Neptune and the distance from Earth to Mars.
The distance from Earth to Mars is 2.25×10^8 km, and the distance from Earth to Neptune is 4.3514×10^9 km.
So, the difference in distance can be calculated as follows:
4.3514×10^9 km - 2.25×10^8 km
To subtract these numbers in scientific notation, we need to ensure that the exponents are the same.
Here, we can convert the distance from Earth to Mars to scientific notation with the same exponent as the distance from Earth to Neptune. We can do this by multiplying the distance from Earth to Mars by 10.
2.25×10^8 km × 10 = 2.25×10^(8+1) km
= 2.25×10^9 km
Now, we can subtract the values:
4.3514×10^9 km - 2.25×10^9 km = (4.3514 - 2.25) × 10^9 km
The difference is 2.1014 × 10^9 km. Therefore, Neptune is 2.1014 × 10^9 km farther from Earth than Mars.
To find out how much farther Neptune is from Earth than Mars, we need to subtract the distance from Earth to Mars from the distance from Earth to Neptune.
Given:
Distance from Earth to Mars = 2.25×10^8 km
Distance from Earth to Neptune = 4.3514×10^9 km
To subtract these numbers, we need to align the decimal places. Since both numbers are already written in scientific notation, we can directly subtract the mantissas while keeping the exponent the same.
(4.3514×10^9) - (2.25×10^8)
To subtract the mantissas (the decimal portion), we perform the subtraction:
4.3514 - 2.25 = 2.1014
Now, we can write the result in scientific notation by keeping the exponent the same as in the original number with the largest magnitude, which is 4.3514×10^9.
Therefore, the difference in distance is 2.1014×10^9 km, expressed in scientific notation.