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The moon orbits the earth in a little under 28 earth days. It travels at almost 2,290 miles per hour. Coincidentally, the moon's rotation period is also a little under 28 days, meaning the same face points toward the earth during its entire orbit.
The moon rotates slowly, taking 27.3 days to rotate once. This is also exactly how long it takes the moon to orbit Earth. For this reason, observers on Earth can only ever see one side of the moon. Some people have the impression that the moon does not rotate since we always see the same side.