8th Grade Math Properties

Transitive Property

If a=b and b=c, then a=c

Symmetric Property

If a=b, then b=a

Inverse Property of Multiplication or Multiplicative Inverse

a(1/a)=1

Associative Property

(a+b)+c=a+(b+c)

Reflexive Property

a=a

Multiplication Property of -1

a(-1)= -a

Distributive Property

a(b+c)=ab+ac

Multiplication Property of 0

a*0=0

Inverse Property of Addition or Additive Inverse

a+(-a)=0

Commutative Property of Addition

a+b=b+a

Definition of Subtraction

a-b=a+(-b)

Definition of Division

a/b=a/1 * 1/b

Commutative Property of Multiplication

ab=ba

Identity Property

5+0=5 or 5x1=5

Addition Property of Equality

If you add the same number to each side of an equation, the two sides remain equal.

Multiplication Property of Equality

If you multiply by the same number to each side of an equation, the two sides remain equal.