Question

The distance from Venus to the Sun is about 6.7 × 10⁷ miles. The distance from Earth to the Sun is about 2.6 × 10⁷ miles farther than Venus. What is the distance from Earth to the Sun? Write your answer in scientific notation.(1 point)
Responses

8.1 × 10⁷ miles
8.1 × 10⁷ miles

9.3 × 10⁷ miles
9.3 × 10⁷ miles

4.1 × 10⁷ miles
4.1 × 10⁷ miles

1.0 × 10⁸ miles

Answer 1

To find the distance from Earth to the Sun, we need to add the distance from Venus to the Sun (6.7 × 10⁷ miles) to the additional distance from Venus to Earth (2.6 × 10⁷ miles).

Using scientific notation:

\[
\text{Distance from Earth to the Sun} = \text{Distance from Venus to the Sun} + \text{Additional Distance}
\]

\[
= 6.7 \times 10^7 \text{ miles} + 2.6 \times 10^7 \text{ miles}
\]

To add these two numbers in scientific notation, we can simply add the coefficients since both terms have the same exponent \(10^7\):

\[
= (6.7 + 2.6) \times 10^7
\]

Calculating the coefficient:

\[
6.7 + 2.6 = 9.3
\]

Thus, we have:

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

So, the distance from Earth to the Sun is **9.3 × 10⁷ miles**.