Math Properties

multiplicative property of equality

(1/3)(3x) = (6)(1/3) x = 2

associative property of addition

(x + y) +z = x + (y + z)

associative property of multiplication

(xy)z = x(yz)

additive property of equality

3x + 2 = 8 3x + 2-2 = 8 3x = 6

symmetric property

If x + y, than y + x

transitive property

If x = y, and y = z, than x = z

multiplicative property of zero

x (x) 0= 0

multiplicative inverse

x (x) 1/x = 1

multiplicative identity

x (x) 1= x

additive inverse

x + (-x) = 0

additive identity

x + 0= x

Commutative Property of Addition

x + y= y + x

reflexive property

x = x

multiplicative property of 1

x(-1) = -x

distributive property of multiplication over addition

x(y + z) = xy + xz

distributive property of multiplication over subtraction

x(y - z) = xy - xz

definition of subtraction

x-y = x + (-y)

definition of division

x/y = x (x) 1/y

Commutative Property of Multiplication

xy = yx