Table of
Properties of Real Numbers
Topic Index | Algebra Index | Regents Exam Prep Center


Table of Properties
Let a, b, and c be real numbers, variables, or algebraic expressions.
(These are properties you need to know.)

 

Property

Example

1.  Commutative Property of Addition 
a + b = b + a
2 + 3 = 3 + 2

2.

Commutative Property of Multiplication 
a b = b a
2 ( 3 ) = 3 ( 2 )
3. Associative Property of Addition 
a + ( b + c ) = ( a + b ) + c 
2 + ( 3 + 4 ) = ( 2 + 3 ) + 4
4.  Associative Property of Multiplication 
a ( b c ) = ( a b ) c
2 ( 3 4 ) = ( 2 3 ) 4
5. Distributive Property 
a ( b + c ) = a b + a c
2 ( 3 + 4 ) = 2   3 + 2 4
6. Additive Identity Property
a + 0 = a
 3 + 0 = 3
7.  Multiplicative Identity Property 
a   1 = a
3 1  = 3
8. Additive Inverse Property 
a + ( -a ) = 0
3 + (-3) = 0
9.  Multiplicative Inverse Property 

Note: a cannot = 0
10. Zero Property
a 0 = 0
5 0 = 0

 


 
Topic Index | Algebra Index | Regents Exam Prep Center
Created by Michael Caldwell