the average distance from earth to Mars is 2.25×10 to the eighth power kilometers and the distance from earth to Neptune is 4.3514×10 to the 9th km how much farther is Neptune from earth and Mars express your answer in scientific notation do not round your answer

1 answer

To find out how much farther Neptune is from Earth compared to Mars, we first need to 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

We need to perform the subtraction:

\[ 4.3514 \times 10^9 - 2.25 \times 10^8 \]

To subtract these two values, we should express them with the same exponent. We can rewrite \( 2.25 \times 10^8 \) in terms of \( 10^9 \):

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

Now, we can subtract:

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

Calculating the difference:

\[ 4.3514 - 0.225 = 4.1264 \]

So we have:

\[ 4.1264 \times 10^9 \]

Thus, the distance that Neptune is farther from Earth compared to Mars is:

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