The moon's mass is approximately 1% of the earth's mass. How does the gravitational pull of the earth on the moon compare with the gravitational pull of the moon on the earth?

The gravitaional pull on both moon and Earth are equal because the value of 'g' is constant. 

Value of G remains constant. Therefore, the value of G does not change with increasing or decreasing height. 

The force of gravitational attraction acts along the line joining the centres of mass of the two bodies.

Mass of the Earth is very large. Therefore, the force of gravitation is sufficiently large to make all objects near its surface to fall towards it.

The small value of 'G' indicates that the force of gravitational attraction between two ordinary sized objects is a very weak force.