Answer:
Distance to Neptune at the farthest < distance to the star Betelgeuse < distance to the star VY Canis Majoris < distance to the galaxy Large Magellanic Cloud
Explanation:
Firstly, we need to work with the same units in order to make the comparison among the given distances. So, let's work with kilometers (
):
distance to the star Betelgeuse: 640 ly
distance to the star VY Canis Majoris: 3.09 × 108 AU
![3.09(10)^{8} AU \frac{1.5(10)^{8} km}{1 AU}=4.635(10)^{16} km](https://tex.z-dn.net/?f=3.09%2810%29%5E%7B8%7D%20AU%20%5Cfrac%7B1.5%2810%29%5E%7B8%7D%20km%7D%7B1%20AU%7D%3D4.635%2810%29%5E%7B16%7D%20km)
distance to the galaxy Large Magellanic Cloud: 49976 pc
distance to Neptune at the farthest: 4.7 billion km
![4.7 billion km=4.7(10)^{12} km](https://tex.z-dn.net/?f=4.7%20billion%20km%3D4.7%2810%29%5E%7B12%7D%20km)
Now that we have all the distances in kilometers we can compare and arrange them in order from least to greatest:
Distance to Neptune at the farthest: ![4.7 billion km=4.7(10)^{12} km](https://tex.z-dn.net/?f=4.7%20billion%20km%3D4.7%2810%29%5E%7B12%7D%20km)
Distance to the star Betelgeuse:
Distance to the star VY Canis Majoris: ![3.09(10)^{8} AU=4.635(10)^{16} km](https://tex.z-dn.net/?f=3.09%2810%29%5E%7B8%7D%20AU%3D4.635%2810%29%5E%7B16%7D%20km)
Distance to the galaxy Large Magellanic Cloud: