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