The distance from Venus to the sun is about 67,000,000 miles. The distance from Earth to the sun is about 2.6×107 farther. What is the distance from Earth to the sun? Write your answer in scientific notation to 1 decimal place.(1 point)

__×10^7 miles

1 answer

To find the distance from Earth to the sun, we can add the distance from Venus to the sun to the additional distance given from Earth to the sun.

  1. The distance from Venus to the sun is 67,000,000 miles.

    In scientific notation, this is: \[ 6.7 \times 10^7 \text{ miles} \]

  2. The distance from Earth to the sun is 2.6 × 10^7 miles farther than the distance from Venus to the sun.

  3. Now, let's calculate the distance from Earth to the sun: \[ \text{Distance from Earth to the sun} = \text{Distance from Venus to the sun} + \text{Additional distance} \] This can be written as: \[ \text{Distance from Earth to the sun} = 6.7 \times 10^7 \text{ miles} + 2.6 \times 10^7 \text{ miles} \] Adding these together: \[ \text{Distance from Earth to the sun} = (6.7 + 2.6) \times 10^7 \text{ miles} = 9.3 \times 10^7 \text{ miles} \]

So, the distance from Earth to the sun is: \[ \boxed{9.3 \times 10^7} \text{ miles} \]