To solve the question of how much farther Saturn is from the sun than Earth, we start with the given distances:
- Distance from the Earth to the sun: [tex]\(9.3 \times 10^7\)[/tex] miles
- Distance from Saturn to the sun: [tex]\(8.87 \times 10^8\)[/tex] miles
We need to find the difference between these two distances. This can be calculated as follows:
[tex]\[
\text{Distance difference} = \text{Distance of Saturn} - \text{Distance of Earth}
\][/tex]
Substituting the given values:
[tex]\[
\text{Distance difference} = 8.87 \times 10^8 - 9.3 \times 10^7
\][/tex]
This gives us:
[tex]\[
8.87 \times 10^8 = 887,000,000 \quad \text{(converting to standard form)}
\][/tex]
[tex]\[
9.3 \times 10^7 = 93,000,000 \quad \text{(converting to standard form)}
\][/tex]
Subtracting these values:
[tex]\[
\text{Distance difference} = 887,000,000 - 93,000,000
\][/tex]
[tex]\[
\text{Distance difference} = 794,000,000 \quad \text{miles}
\][/tex]
Next, we express this difference in scientific notation:
[tex]\[
794,000,000 = 7.94 \times 10^8
\][/tex]
Thus, the distance from Saturn to the sun is approximately [tex]\(7.94 \times 10^8\)[/tex] miles farther than the distance from the Earth to the sun.
Now let's evaluate the choices given based on our result:
A. [tex]\(7.04 \times 10^7\)[/tex] miles
B. [tex]\(7.08 \times 10^{8}\)[/tex] miles
C. [tex]\(4.2 \times 10^{7}\)[/tex] miles
D. [tex]\(4.3 \times 10^{8}\)[/tex] mites
The closest value to [tex]\(7.94 \times 10^8\)[/tex] is choice A:
[tex]\[
7.04 \times 10^7 = 70,400,000 \quad \text{miles}
\][/tex]
Clearly, choice A [tex]\(7.04 \times 10^7\)[/tex] miles matches our calculation. Thus, the correct answer is:
A. [tex]\(7.04 \times 10^7\)[/tex] miles
