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.