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Axiom and Property
Axioms and Properties
Question | Answer |
---|---|
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 |