To determine the distance from Saturn to the Sun in Astronomical Units (AU), we need to perform a few steps:
1. Understand the given distance:
- Saturn is 1.5 billion kilometers away from the Sun. In numeric form, this distance is [tex]\( 1.5 \times 10^9 \)[/tex] kilometers.
2. Know the conversion factor:
- 1 Astronomical Unit (AU) is approximately 149,597,870.7 kilometers.
3. Convert the distance from kilometers to AU:
- To convert kilometers to AU, we divide the distance in kilometers by the number of kilometers per AU:
[tex]\[
\text{Distance in AU} = \frac{1.5 \times 10^9 \text{ km}}{149,597,870.7 \text{ km/AU}}
\][/tex]
4. Calculate:
- Perform the division to find the distance in AU:
[tex]\[
\text{Distance in AU} \approx \frac{1,500,000,000 \text{ km}}{149,597,870.7 \text{ km/AU}} \approx 10.03 \text{ AU}
\][/tex]
5. Match the closest given option:
- The options given are:
- 10,000 AU
- 1,000 AU
- 100 AU
- 10 AU
- Since 10.03 AU is closest to 10 AU, the correct answer is 10 AU.
Therefore, the distance from Saturn to the Sun is approximately [tex]\( \boxed{10 \text{ AU}} \)[/tex].
