Here's why:
* Earth's Rotation: The primary reason celestial objects appear to rise in the east and set in the west is due to the Earth's rotation on its axis. Earth spins on its axis from west to east, and this spinning motion makes it seem like the sun, moon, and stars are moving across the sky in the opposite direction, from east to west.
* The Moon's Rotation: While the moon does rotate on its axis, it's not the cause of the apparent rising and setting of objects in the sky. The moon's rotation is actually synchronized with its orbit around Earth. This means that the moon always shows us the same side.
Let me know if you have any more questions about astronomy!