1. Property Flip Chart
You will need 6 index cards.

2. Associative Property of addition and multiplication
Grouping does not change the answer!
Addition Multiplication
(3 + 6) + 5 = 3 + (6 + 5) (9x6)x4 = 9x(6x4)
x + (y + z) = (x + y) + z x(yz) = (xy)z

3. Commutative Property of addition and multiplication
Order does not matter!
Addition Multiplication
5 + 9 = x 3 = 3 x 19
a + b = b + a ab =ba

4. Identity Property of addition and multiplication
Addition—any # plus zero is that #
= 62
j + 0 = j
Multiplication—any # times one is that #
1 x 7 = 7
m x 1= m

5. Inverse Property of addition and multiplication
Addition—two #’s whose sum is zero
= 0
-g + g = 0
Multiplication—two #’s whose product is one
5 x 1/5 = 1
a x 1/a = 1

6. Zero Property of multiplication
Any # times zero is zero.
18 x 0 = 0
p x 0 = 0
THIS PROPERTY ONLY WORKS FOR MULTIPLICATION!

7. Distributive Property
To multiply a sum or difference, multiply each number within the parentheses by the number outside the parentheses
Arithmetic
9(4 + 5) = 9(4) + 9(5)
5(8 – 2) = 5(8) – 5(2)
Algebra
a(b + c) = a(b) + a(c)
a(b – c) = a(b) – a(c)

8. Name each property 5 + (8 + 6) = (5 + 8) + 6 0 x 56 = 0 x + b = b + x

9. Answers Associative of addition Zero property Commutative of addition
Identity of multiplication
Inverse of multiplication