When on the moon your mass would be less than it is on earth but your weight would stay the same?

This statement is incorrect. Your mass remains constant regardless of location; it doesn't change whether you're on Earth, the Moon, or elsewhere. However, your weight is affected by gravity and would be significantly less on the Moon due to its weaker gravitational pull—about one-sixth that of Earth. Therefore, while your mass stays the same, your weight would indeed be less on the Moon.