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An additive process is one in which something is added to the art piece to give it interest. A 2-dimensional additive process is painting, you add more paint to the canvas. A 3-dimensional additive process is coiling a clay pot, you add more clay.
They can be used to move additive terms from one side of an equation to the other.
Used as additive inverse
The additive color process is mixing lights while the subtractive color process is mixing paints and dyes. In the additive color process when you mix all of the main colors together: red, green, and blue: you get white(hence the name additive) while if you do the exact same thing in the subtractive color process: cyan, magenta, and yellow: you get black(hence the name subtractive because in order to get white you'd have to take away all of the colors).
Additive inverse: change all signs. Multiplicative inverse: flip it over.