Table of Properties of real numbers

It has been acknowledged that the table below was downloaded as a result of google search and then shared with through this blog.

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

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