Real Number System and Properties

1.2 - Properties of Real Numbers

Objective

• To identify and use properties of real numbers

Reminders:

• The opposite of any number a is -a

• The reciprocal of any nonzero number a is

   $\frac{1}{a}$  

Open Ended

Use the Multiplicative Inverse Property to prove that the reciprocal of

$$\frac{3}{4}$$  is  $$\frac{4}{3}$$  

Multiple Choice

What real number property is illustrated by $$3\left(6\right)\ =\ 6\left(3\right)$$  ?

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Distributive Property

• Identity Property of Multiplication

Open Ended

Does the Commutative Property apply to subtraction? Give an example to support your answer.

The distributive property can be used to do mental math

For example: You buy 9 pairs of shoes at $150 each. What is the total cost? Sure, you could tap it into your calculator on your phone. Another way is to think of 9 as "10 minus 1". So you think $150 (10-1) = 1500-150 = $1350.

Your turn:

Open Ended

Use mental math and the distributive property to determine the total cost of 5 items at $1.96 each. Show your work.