The distance from mercury to the sun is about 35,000,000 miles. The distance from Earth to the sub is about 5.8×10^7 farther. What is the distance from Earth to the sun? Write your answer in scientific notation to 1 decimal place

1 answer

To find the distance from Earth to the Sun, we start with the distance from Mercury to the Sun, which is approximately 35,000,000 miles, and we know that the distance from Earth to the Sun is about \( 5.8 \times 10^7 \) miles farther than that of Mercury.

First, let's convert the distance from Mercury to scientific notation:

\[ 35,000,000 \text{ miles} = 3.5 \times 10^7 \text{ miles} \]

Now, let's add the distance from Earth to the Sun. The distance from Earth to the Sun can be calculated as follows:

\[ \text{Distance from Earth to the Sun} = \text{Distance from Mercury to the Sun} + \text{additional distance} \]

\[ \text{Distance from Earth to the Sun} = 3.5 \times 10^7 \text{ miles} + 5.8 \times 10^7 \text{ miles} \]

Now we sum these two values:

\[ 3.5 \times 10^7 + 5.8 \times 10^7 = (3.5 + 5.8) \times 10^7 = 9.3 \times 10^7 \text{ miles} \]

Thus, the distance from Earth to the Sun in scientific notation and with one decimal place is:

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