The moon appears brighter at night than during the daytime because the level of outdoor illuminance is less than that of the moon.
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With the moon. The sun is actually bouncing light off of the moon to get to the earth, that's why the moon tends to look like it "glows". So with that light, the night would be brighter with the moon
The moon is not brighter than the sun. The sun is much larger and hotter than the moon, making it significantly brighter. The moon only reflects sunlight, so it appears bright in the night sky.
Apart from the night being a bit brighter - not at all.
because the suns ray reflect off of it
Because, as the earth rotates it casts a shadow on the moon