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The Moon's Orbit and Rotation. It takes the Moon 27.322 days to go around the Earth once. Because of this motion, the Moon appears to move about 13 against the stars each day, or about one-half degree per hour.
scythian1950 has the right answer. It takes 23 hours 56 minutes and 4 seconds for the Earth to rotate 360 degrees (one sidereal day) and approximately 24 hours to go from noon to noon (one solar day). If it takes 365 1/4 days to orbit the Sun, then the Earth has to rotate nearly 361 degrees to get back to noon. About the only thing I have to add is that 24 hours is the MEAN solar day, or the average amount of time it takes the Earth to rotate from local zenith (noon) to local zenith (noon).