Question

The average distance from earth to mars is 2.25 times 10^8 km, and the distance from earth to Neptune is 4.3514 times 10^9 km. how much farther is Neptune from earth to mars? express your answer in scientific notation. do not round your answer.

Answer 1

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 = \( 2.25 \times 10^8 \) km
- Distance from Earth to Neptune = \( 4.3514 \times 10^9 \) km

Now, we can perform the subtraction:

\[
\text{Distance from Earth to Neptune} - \text{Distance from Earth to Mars} = 4.3514 \times 10^9 \, \text{km} - 2.25 \times 10^8 \, \text{km}
\]

To perform this subtraction, we need to express both numbers with the same exponent. We convert \( 2.25 \times 10^8 \) km to a form with \( 10^9 \):

\[
2.25 \times 10^8 \, \text{km} = 0.225 \times 10^9 \, \text{km}
\]

Now we can subtract:

\[
4.3514 \times 10^9 \, \text{km} - 0.225 \times 10^9 \, \text{km} = (4.3514 - 0.225) \times 10^9 \, \text{km}
\]

Calculating the subtraction:

\[
4.3514 - 0.225 = 4.1264
\]

So,

\[
4.1264 \times 10^9 \, \text{km}
\]

Thus, the distance from Earth to Neptune is \( \boxed{4.1264 \times 10^9} \) km farther than the distance from Earth to Mars.