the distance from Venus to the sun is about 67,000,000 miles. The distance from Earth to the sun is about 2.6x10 exponent 7 farther. What is the distance from Earth to the sun? Write your answervin scientific notation to 1 decimal place.

1 answer

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

  1. Distance from Venus to the Sun: \(67,000,000\) miles.
  2. Distance from Earth to the Sun: \(2.6 \times 10^7\) miles farther.

First, we convert \(67,000,000\) miles to scientific notation:

\[ 67,000,000 = 6.7 \times 10^7 \text{ miles} \]

Now, add the distance from Earth to the distance from Venus to calculate the total distance from Earth to the Sun:

\[ \text{Distance from Earth to Sun} = \text{Distance from Venus to Sun} + (2.6 \times 10^7) \]

Converting \(2.6 \times 10^7\) to the same format as \(6.7 \times 10^7\):

\[ \text{Distance from Earth to Sun} = (6.7 \times 10^7) + (2.6 \times 10^7) \]

Now, add the coefficients:

\[ 6.7 + 2.6 = 9.3 \]

So,

\[ \text{Distance from Earth to Sun} = 9.3 \times 10^7 \text{ miles} \]

Thus, the distance from Earth to the Sun is:

\[ \boxed{9.3 \times 10^7} \text{ miles} \]