## Math Properties

##### Created by:

scarlettmann  on October 27, 2012

##### Description:

Basic math properties

##### Copied From:

Set copied from kublacohn

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# Math Properties

 Commutative Property of Additiona + b + c = b + a + c
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#### 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
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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