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Commutative
addition: 2 + 3 = 3 + 2
multiplication: 2*3 = 3*2 (xy = yx)

Associative
addition: (2+5) + 7 = 2 + (5+7)
multiplication: (ab)c = a(bc)

Identity
addition: 2 + 0 + 0
multiplication: 2*1 = 2

Inverse
addition: a + (a) = 0
multiplication: a*1/a = 1

Distributive
addition: 2(x +y) = 2x +2y
multiplication: 5x + 5y = 5(x + y)

