Question

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. (1 point)

Answer 1

To find out how much farther Neptune is from Earth than Mars, we 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 perform the subtraction:

\[
D = \text{Distance from Earth to Neptune} - \text{Distance from Earth to Mars}
\]

Substituting the values:

\[
D = (4.3514 \times 10^9) - (2.25 \times 10^8)
\]

To perform the subtraction, we need to express both terms with the same exponent. The distance to Mars can be expressed as:

\[
2.25 \times 10^8 = 0.225 \times 10^9
\]

Now, we can rewrite the equation for \(D\):

\[
D = (4.3514 \times 10^9) - (0.225 \times 10^9)
\]

Now, we can subtract the coefficients:

\[
D = (4.3514 - 0.225) \times 10^9
\]

Calculating the coefficient:

\[
4.3514 - 0.225 = 4.1264
\]

Thus,

\[
D = 4.1264 \times 10^9
\]

So, the distance from Earth to Neptune is \(4.1264 \times 10^9\) km farther than from Earth to Mars. Therefore, the final answer is:

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