If you travel from the Earth to the moon, which of the following measurements would change?

Mass

Weight

Density

Size

Assuming you are talking about the individual in space, Size and Weight changes in space due to the difference in gravity. Astronauts grow taller in space due to the micro-gravity they experience out of the earth's atmosphere.

It would not be:

Mass : Because mass is a measurement not dependent on gravity

Density : Astronauts do not blow out in bubbles once they leave the earth's atmosphere, therefore, we can deduct that density stays the same

Your weight - mass is the amount of matter you are made of, therefore that would not change. Weight takes into account the gravitational force of the planet you are on, and as the pull of gravity is different on earth to the moon, your weight would vary.