We are able to see the moon because

Beacuse the sun reflects on the moon!

Explanation:

The perceived brightness of the moon from Earth depends on where the moon is in its orbit around the planet. The moon travels once around Earth every 29.5 days, and during its journey, it's lit from varying angles by the sun. This movement of the moon around the Earth — and the simultaneous orbiting of Earth around the sun — accounts for the moon's different phases (full moon, quarter moon, etc.). At any given point in the moon's trajectory around the Earth, only half of its surface is facing the sun, and therefore, only half of the moon is lit up. The other half of the surface faces away from the sun and is in shadow. The moon is at its brightest when it is 180 degrees away from the sun from our perspective (picture the sun, Earth and moon in a straight line). At this time, the full half of the moon's surface facing the sun is illuminated and is visible from Earth. This is what's known as a full moon.  At "new moon," on the other hand, the moon isn’t even visible from our vantage point. This is when the moon is between the sun and the Earth, so that the side of the moon reflecting sunlight is facing away from Earth.

In the days before and after a new moon, we’ll see a sliver of the moon reflecting sunlight. And during those times, the faint brightness of the rest of the moon — the part not brightly lit as a sliver — is a result of what scientists call "earthshine," in which the moon’s relatively dark disk is slightly illuminated by sunlight that reflects off of Earth, then off the moon, and back to our eyes.

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