To find the distance from the Earth to the Sun, you first need to calculate the given distance from Venus to the Sun and then add the additional distance specified.
-
Distance from Venus to the Sun:
\( 60,700,000 \) miles -
Distance from Earth to the Sun is \( 2.6 \times 10^7 \) miles further than that from Venus to the Sun.
First, we should express the distance from Venus to the Sun in scientific notation:
\[ 60,700,000 \text{ miles} = 6.07 \times 10^7 \text{ miles} \]
Now, we can calculate the distance from Earth to the Sun:
\[ \text{Distance from Earth to the Sun} = \text{Distance from Venus to the Sun} + \text{Additional distance} \]
\[ \text{Distance from Earth to the Sun} = 6.07 \times 10^7 \text{ miles} + 2.6 \times 10^7 \text{ miles} \]
To add these two numbers, we can align them since they are expressed in scientific notation with the same exponent:
\[ (6.07 + 2.6) \times 10^7 = 8.67 \times 10^7 \]
Thus, the distance from Earth to the Sun is approximately:
\[ \text{Distance from Earth to the Sun} \approx 8.7 \times 10^7 \text{ miles} \]
Rounded to one decimal place and expressed in scientific notation, the distance from Earth to the Sun is:
\[ 8.7 \times 10^7 \text{ miles} \]