12.1 Properties of real numbers

Elementary algebra Page 1 / 1

This module contains a chart of the properties of real numbers from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr.

Commutative property

a + b = b + a

3 + 4 = 4 + 3

a b = b a

4 \cdot 3 = 3 \cdot 4

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

4 + (3 + 5) = (4 + 3) + 5

a (bc) = (ab) c

4 (3 \cdot 5) = (4 \cdot 3) 5

$a (b + c) = a b + a c$
$4 (x + 3) = 4x + 12$
$(b + c) a = a b + b c$
$(x + 3) 4 = 4x + 12$

$a \cdot 0 = 0$
$0 \cdot a = 0$ If $a \neq 0$ , then $\frac{0}{a} = 0$ and $\frac{0}{a} = 0$ is undefined.

$- (- a) = a$

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Source: OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3

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