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Communitive property of addition
a + b = b + a
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Associative property of multiplication
ab = ba
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Associative property of addition
(a + b) + c = a + (b + c)
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Associative property of multiplication
(ab)c = a(bc)
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Distributive property
a(b + c) = ab + ac
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Reflexive property
- a = a
- any number is equal to itself.
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Transitive property
- If a = b and b = c, then a = c.
- This property also takes the form of the substitution property, which says that if b = c, you can substitte c for b.
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Symmetric property
If a = b, then b = a
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Addition property
If a = b, then a + c = b + c
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Subtraction property
If a = b, then a - c = b - c
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Multiplication property
If a = b the ac = bc.
also, if a = b and c = d the ac = bd
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Division property
if a = b, then a/c = b/c provided c does not = 0
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Square root property
If a square = b the a = the square root of b
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Zero product property
if ab = 0, then a = 0 or b = 0 or both a and b = 0
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