Axioms and Properties
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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Additive inverse | -x + x=0
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Subtraction | x-y=x+(-y)
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Division | x divided by y = x •1/y
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Distributive Axiom | x(y+z) = xy+yz
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Commutative Axiom of Addition | x+y = y+x
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Commutative Axiom of Multiplication | xy=yx
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Associative Axiom of Addition | (x+y)+z=x+(y+z)
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Associative Axiom of Multiplication | (xy)z=x(yz)
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Additive Identity Axiom | x+0=x
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Multiplicative Identity Axiom | x • 1 = x
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Multiplicative Inverse Axiom | x • 1/x = 1
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Multiplication Property of -1 | -1 • x= -x
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Multiplication Property of Zero | 0 • x= 0
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Addition Property of Equality | x=y then x+z = y+z
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Multiplication Property of Equality | If x=y then xz=yz
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Transitive Axiom of Equality | If x=y and y=z then x=z
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Symmetric Axiom of Equality | If x=y then y=x
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Reflexive Axiom of Equality | x=x
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To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
egtx
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