1. Estimate the square root. 290 21 350
bellwork
Estimate the square root

2. Students will be able to identify the algebraic properties.
Objective
Students will be able to identify the algebraic properties.

3. 1-4 properties of real numbers

4. properties of real numbers
Property
Example
1. 
Commutative Property of Addition  a + b = b + a
2 + 3 = 3 + 2 2.
Commutative Property of Multiplication  a • b = b • a
2 • ( 3 ) = 3 • ( 2 ) 3.
Associative Property of Addition  a + ( b + c ) = ( a + b ) + c 
2 + ( ) = ( ) + 4
4. 
Associative Property of Multiplication  a • ( b • c ) = ( a • b ) • c
2 • ( 3 • 4 ) = ( 2 • 3 ) • 4 5.
Distributive Property  a • ( b + c ) = a • b + a • c
2 • ( ) = 2 •  • 4

5. properties of real numbers
Property
Example
6. 
Distributive Property  a • ( b + c ) = a • b + a • c
2 • ( ) = 2 •  • 4 7.
Additive Identity Property a + 0 = a
 3 + 0 = 3 8.
Multiplicative Identity Property  a •  1 = a
3 • 1  = 3
Additive Inverse Property  a + ( -a ) = 0
3 + (-3) = 0
9. 
Multiplicative Inverse Property 
Note: a cannot = 0
10.
Zero Property a • 0 = 0
5 • 0 = 0

6. examples
Name the algebraic property.
5 + 8 = b)9 • 0 = 0
c) 3(x + 2) = 3x d) 13 • 4 = 4 • 13

7. homework
Page 15
1-6, 15-18