Real Numbers and Properties of Real Numbers Lesson

7 Slides • 4 Questions

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}

\frac{4}{3}

Type response here

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.

Type response here

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.

Type response here

1.2 - Properties of Real Numbers

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