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)

1 answer

To find out how much farther Neptune is from Earth than Mars, we subtract the average distance from Earth to Mars from the average 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:

\[ 4.3514 \times 10^9 \text{ km} - 2.25 \times 10^8 \text{ km} \]

To make the subtraction easier, we can express \( 2.25 \times 10^8 \) km in terms of \( 10^9 \):

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

Now, we can rewrite the subtraction:

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

Calculating \( 4.3514 - 0.225 \):

\[ 4.3514 - 0.225 = 4.1264 \]

Therefore, the distance that Neptune is farther from Earth than Mars is:

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

This answer is already in scientific notation. Thus, the final answer is:

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