he distance from Venus to the sun is about 67,000,000 miles. The distance from Earth to the sun is about 2.6×10^7

Question

2.6
×
10
7
farther. What is the distance from Earth to the sun? Write your answer in scientific notation to 1 decimal place.(1 point)
×10^7
×
10
7
miles

Answer 1

To find the distance from Earth to the sun, we need to add the distance from Venus to the sun to the additional distance that Earth is farther from the sun.

1. The distance from Venus to the sun is approximately 67,000,000 miles.
2. The distance from Earth to the sun is an additional \(2.6 \times 10^7\) miles farther.

First, we can convert 67,000,000 miles into scientific notation: \[ 67,000,000 \text{ miles} = 6.7 \times 10^7 \text{ miles} \]

Now, we can express the distance from Earth to the sun using: \[ \text{Distance from Earth to sun} = \text{Distance from Venus to sun} + \text{Additional distance} \] \[ \text{Distance from Earth to sun} = (6.7 \times 10^7) + (2.6 \times 10^7) \]

Now we can add these two distances: \[ \text{Distance from Earth to sun} = (6.7 + 2.6) \times 10^7 = 9.3 \times 10^7 \text{ miles} \]

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