Field axioms Word Scramble
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| Question | Answer |
| Closure under addition axiom | x + y is a unique real number |
| Closure under multiplication axiom | xy is a unique real number |
| Additive inverse axiom | x + (-x) =0 |
| Multiplicative Inverse axiom | x • 1/x =1 (so long as x does not equal zero |
| Additive Identity Axiom | x + 0 = x |
| Multiplicative identity axiom | x • 1= x |
| Multiplicative Associative axiom | (xy)z = x(yz) |
| Addition Associative Axiom | (x + y) +z = x+ (y + z) |
| Addition Commutative Axiom | x + y = y+x |
| Multiplicative Commutative Axiom | xy=yx |
| Distributive Axiom | x(y + z) = xy + xz |
| Transitive Axiom of Equality | If x=y and y=z then x=z |
| Symmetric Axiom of Equality | If x=y then y=z |
| Reflexive Axiom of Equality | x = x |
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