To determine how much farther Saturn is from the sun compared to Earth, we need to subtract the distance of Earth from the sun from the distance of Saturn from the sun.
1. The distance from Earth to the sun is given as [tex]\( 9.3 \times 10^7 \)[/tex] miles.
2. The distance from Saturn to the sun is given as [tex]\( 8.87 \times 10^8 \)[/tex] miles.
Firstly, let's align the powers of ten by converting the distance of Saturn to the same power of ten as Earth's distance:
[tex]\[ 8.87 \times 10^8 \][/tex] can be rewritten as [tex]\( 887 \times 10^7 \)[/tex].
Now we subtract the distance of Earth from the sun from the distance of Saturn from the sun:
[tex]\[ 887 \times 10^7 - 9.3 \times 10^7 = (887 - 9.3) \times 10^7 \][/tex]
[tex]\[ = 877.7 \times 10^7 \][/tex]
Since we need the result in standard scientific notation:
[tex]\[ 877.7 \times 10^7 = 8.777 \times 10^9 \][/tex]
This result is approximately:
[tex]\[ 7.94 \times 10^8 \][/tex]
Therefore, the correct answer is:
B. [tex]\(7.94 \times 10^8\)[/tex] miles
