Math Properties
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Created by:
scarlettmann on October 27, 2012
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Description:
Basic math properties
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Set copied from kublacohn
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51 terms
Terms | Definitions |
|---|---|
 Commutative Property of Addition | a + b + c = b + a + c |
| Commutative Property of Multiplication | a x b = b x a |
| Associative Property of Addition | (a + b) + c = a + (b + c) |
| Associative Property of Multiplication | (a x b) x c = a x (b x c) |
| Distributive Property | a(b + c) = ab + ac |
| Additive Identity | a + 0 = a |
| Multiplicative Identity | a x 1 = a |
| Additive Inverse | a + (-a) = 0 |
| Multiplicative Inverse | a x 1/a = 1 |
| Multiplicative Property of Zero | a x 0 = 0 |
| Reflexive Property of Equality | a = a |
| Transitive Property of Equality | if a = b and b = c then a = c |
| Symmetric Property of Equality | if a = b then b = a |
| Additive Property of Equality | if a = b then a + c = b + c |
| Multiplicative Property of Equality | if a = b then ac = bc |
| Substitution Property of Equality | if a = b then I can use b in place of a |
| Substitution Property of Equality | 8 + 5 + x = 13 + x |
| Multiplicative Property of Equality | if 3y = 10 then 1/3 (3y) = 1/3(10) |
| Additive Property of Equality | if m + 5 = 9 then m + 5 + (-5) = 9 + (-5) |
| Symmetric Property of Equality | if 24 = 3x - 9 then 3x - 9 = 24 |
| Transitive Property of Equality | if 7 = 3 + 4 and 7 = 6 + 1 then 3 + 4 = 6 + 1 |
| Reflexive Property of Equality | 11 + 3x = 11 + 3x |
| Multiplicative Property of Zero | 0 = 13 x 0 |
| Multiplicative Inverse | 3/5 x 5/3 = 1 |
| Additive Inverse | 0 = -11 + 11 |
| Multiplicative Identity | 15 = 1 x 15 |
| Additive Identity | 7 + k + 0 = 7 + k |
| Distributive Property | 3 x 5 + 3 x 7 = 3(5 + 7) |
| Distributive Property | 10(y + 5) = 10y + 10 x 5 |
| Associative Property of Multiplication | 3 x (4 x 5) = (3 x 4) x 5 |
| Associative Property of Addition | (12 + 2) + 4 = 12 + (2 + 4) |
| Commutative Property of Multiplication | 5(x + 4) = (x + 4)(5) |
| Commutative Property of Multiplication | 2(5 x 7) = 2(7 x 5) |
| Commutative Property of Addition | 6(3 + 9) = 6(9 + 3) |
| Commutative Property of Addition | (15 + 3) + 8 = 8 + (15 + 3) |
| Addition Property of Equality | adding the same to both sides of an equation preserves the equality |
| Multiplication Property of Equality | multiplying both side of an equation by the same amount preserves the equality |
| Commutative Property of Addition | You can add numbers in any order |
| Associative Property of Addition | You can change the associations of numbers in an addition problem |
| Commutative Property of Multiplication | You can multiply numbers in any order |
| Associative Property of Multiplication | You can change the associations of numbers in a multiplication problem |
| Reflexive Property of Equality | A number equals itself |
| Distributive Property of Multiplication over Addition | Share multiplication over all terms in the parentheses |
| Additive Inverse | a number and its opposite will always equal zero |
| Multiplicative Inverse | a number times its reciprocal will always equal one |
| Additive Identity | zero added to a number will not change the number |
| Multiplicative Identity | a number times one equals itself |
| Multiplicative Property of Zero | any number times zero equals zero |
| Transitive Property of Equality | if two numbers equal the same thing, then they are also equal |
| Substitution Property of Equality | I can substitute one quantity for another as long as they are both equal |
| Symmetric Property of Equality | The right and left sides of an equation can trade places |
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