1. 1.3 Properties of Real Numbers
Objective: Identify & Use the Properties of Real Numbers to Evaluate Expressions

2. Commutative a + b = b + a a x b = b x a Examples 5 + 4 = ___ + ___
The order in which you ________ or _________ numbers does not change their ________ or ___________.
a + b = b + a
a x b = b x a
Examples
5 + 4 = ___ + ___
2 x 3 = ___ x ___
___ + ___ = ___ + ___

3. _____________ = ______________
Associative
The way you _______ three or more numbers when adding or multiplying does not change their ___________ or ___________.
a + (b + c) = (a + b) + c
a x (b x c) = (a x b) x c
Examples
5 + (4 + 2) = ___________
3 x (6 x 4) = ___________
_____________ = ______________

4. Additive & Multiplicative Identity
“You do not want to ______ your __________!”
If your identity is “____” you still want to be “____” after the mathematical expression is completed.
a + IDENTITY = ___
a x IDENTITY = ___

5. Practice Additive Identity
2 + __ = 2
5.3 + __ = 5.3
__ = 169
Additive Identity will ALWAYS be ______

6. Multiplicative Identity
2 x __ = 2
5.3 x __ = 5.3
-169 x __ = 169
Multiplicative Identity will ALWAYS be _____

7. Practice: Find the Additive & Multiplicative Identity
Given
Additive
Multiplicative

8. Inverse a + INVERSE = _____ a x INVERSE = ____
The ______________ inverse is always the ____________________ of your number.
a + INVERSE = _____
The _______________inverse is always the ______________________ of your number.
a x INVERSE = ____

9. Additive Inverse will ALWAYS be ___________________________
2 + __ = 0
5.3 + __ = 0
__ = 0
Additive Inverse will ALWAYS be
___________________________

10. Multiplicative Inverse
2 x __ = 1
(2/3) x __ = 1
-169 x __ = 1
Multiplicative Inverse will ALWAYS be
___________________________

11. Identify the Properties

12. Identify the Properties

13. Identify the Properties

14. Write an expression representing the commutative property.
Closure
Write an expression representing the commutative property.