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Using Number Properties to Simplify Expressions

The operations of addition and multiplication have several important basic properties that can make it easier to simplify expressions. These properties are assumed to be true and are called axioms or postulates.
The Axiom of Closure: If a and b are real numbers, then a+b is a unique real number and ab is a unique real number.
Simplify each expression to find a unique real number. Show your work. Convert fractions to decimals.

 

 

 

 

 

The Commutative Property: If a and b are real numbers, then a+b is equal to b+a and ab is equal to ba.
Usually addition and multiplication are performed in a left to right order.

The Associative Property: If a, b and c are real numbers, then (a+b)+c is equal to a+(b+c) and (ab)c is equal to a(bc).

 
 

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