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I think you mean, what are the 3 properties of addition? Well, addition, like everything else, has infinitely many properties. But I am guessing you mean the 3 properties of addition that are described in the axioms of algebra. Namely,

1. The commutative law. This says that you can add 2 numbers in either order and get the same answer. In symbols, x+y equals y+x.

2. The associative law. This says that if you add 3 numbers, you can group them either way without changing the answer. In symbols, (x+y)+z equals x+(y+z)

3. The distributive law of addition over multiplication. I will not try to describe this in words, which would be long and confusing. It is most clearly described in symbols: x*(y+z) equals x*y + x*z

* * * * *

An excellent attempt at answering a flawed question. There are only two properties of addition, so trying to describe 3 is not really possible. The third one, above, is a property of multiplication over addition - not of the operation of addition.

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12y ago

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