Question

Question

The average distance from Earth to Mars is 2.25×108
km, and the distance from Earth to Neptune is 4.3514×109
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 how much farther Neptune is from Earth than Mars, we can 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:

$$\text{Distance from Earth to Neptune}-\text{Distance from Earth to Mars}=(4.3514\times {10}^9\text{ km})-(2.25\times {10}^8\text{ km})$$

First, we need to express the distances with the same exponent. We can convert $2.25\times {10}^8$ km to a distance with ${10}^9$:

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

Now we can perform the subtraction:

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

$$=4.1264\times {10}^9\text{ km}$$

So, the distance from Earth to Neptune is $4.1264\times {10}^9$ km farther than the distance from Earth to Mars.

In scientific notation:

$$\text{Neptune is }4.1264\times {10}^9\text{ km farther from Earth than Mars.}$$