Here's a breakdown:
* New Moon: 0% visible (completely dark)
* Waxing Crescent: Less than 50% visible (a thin sliver)
* First Quarter: 50% visible (half illuminated)
* Waxing Gibbous: More than 50% visible (growing towards full)
* Full Moon: 100% visible (entire face illuminated)
* Waning Gibbous: More than 50% visible (shrinking from full)
* Last Quarter: 50% visible (half illuminated)
* Waning Crescent: Less than 50% visible (a thin sliver)
So, while the entire moon is always there, only a portion of it is illuminated by the sun and therefore visible from Earth at any given time.