See How Much you Weigh on the Moon!
The moon is 1/4 the size of Earth, so the moon's gravity is much less than the earth's gravity, 83.3% (or 5/6) less to be exact. Finally, "weight" is a measure of the gravitational pull between two objects. So of course you would weigh much less on the moon. Imagine how far you could jump on the moon! The Apollo astronauts apparently had fun :-)