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# Axiom and Property

### Axioms and Properties

Additive inverse -x + x=0
Subtraction x-y=x+(-y)
Division x divided by y = x •1/y
Distributive Axiom x(y+z) = xy+yz
Commutative Axiom of Addition x+y = y+x
Commutative Axiom of Multiplication xy=yx
Associative Axiom of Addition (x+y)+z=x+(y+z)
Associative Axiom of Multiplication (xy)z=x(yz)
Additive Identity Axiom x+0=x
Multiplicative Identity Axiom x • 1 = x
Multiplicative Inverse Axiom x • 1/x = 1
Multiplication Property of -1 -1 • x= -x
Multiplication Property of Zero 0 • x= 0
Addition Property of Equality x=y then x+z = y+z
Multiplication Property of Equality If x=y then xz=yz
Transitive Axiom of Equality If x=y and y=z then x=z
Symmetric Axiom of Equality If x=y then y=x
Reflexive Axiom of Equality x=x
Created by: egtx