Definitely yes. But very slowly.
Additional answer
One side is heavier than the other and is pulled by gravity to always face the Earth.
rotationis one complete spin on earths axis!!!
Its axis.
Yes. When we're talking about the Earth, 'spin' and 'rotate' are the same thing.
Yes, the moon does spin on its axis as it orbits the Earth. This is why we always see the same side of the moon facing towards us.
orbit of the moon
It takes one month for the moon to spin on it's axis.
Yes, but it is called "axis".
no and yes
That's "rotation".
one rotation is one day.
They both spin on an axis.
No. Each of those "days" of which the question speaks is the length of time it takes for the earth to spin on its axis. The question is actually referring to the moon, which takes 27.32 days to spin once on its axis.