Page 6 - 091math-wb-w6-(equations&inequalities-1)

Workbook

Properties of Addition and Multiplication on Real Numbers

The set of real numbers together with addition and multiplication produce the following facts. In each
case, suppose that a, b, and c are real numbers.

Closure Properties of Real Numbers:

Property In Symbols/Examples Comments/Notes

Closure property of a b  is closed under addition
addition
Ex:

Closure property of a b  is closed under multiplication
multiplication
Ex:

Commutative Properties of Real Numbers:

Property In Symbols/Examples Comments/Notes

Commutative property of a b b a   The order in which two real
addition numbers are added does not
Ex:
affect the sum

Commutative property of a b b a   The order in which two real
multiplication numbers are multiplied does not
Ex:
affect the product

Associative Properties of Real Numbers:

Property In Symbols/Examples Comments/Notes

Associative property of a b  c a   b c  The manner in which three real numbers
addition are grouped under addition does not
Ex:
affect the sum

Associative property of a b c a    b c  The manner in which three real numbers
multiplication are grouped under multiplication does not
Ex:
affect the product

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