The average distance from Earth to Mars is 2.25×10^8

Question

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 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:

$$\boxed{{\displaystyle 4.1264\times {10}^9}}\text{ km}$$