1. States…
Associative Property
Examples
Non-Examples

2. States…
Commutative Property
Examples
Non-Examples

3. Distributive Property
States…
Distributive Property
Examples

4. Associative Property States… Examples Non-Examples Answer Key
That numbers in addition and multiplication problems can be grouped in any way and the answer remains the same
Associative Property
Examples
(7 + 3) + 5 = 7 + (3 + 5)
8 + (1 + 11) = (8 + 1) + 11
(2 x 3) x 4 = 2 x (3 x 4)
5 x (6 x 2) = (5 x 6) x 2
Non-Examples
(6 – 4) – 1 ≠ 6 – (4 – 1)
(10 – 5) – 5 ≠ 10 – (5 – 5)
12 ÷ (2 ÷ 2) ≠ (12 ÷ 2) ÷ 2
(18 ÷ 6) ÷ 3) ≠ 18 ÷ (6 ÷ 3)

5. Commutative Property States… Examples Non-Examples
That numbers in addition and multiplication problems can be multiplied in any order and the answer remains the same
Commutative Property
Examples
6 + 4 = 4 + 6 =
3 x 11 =11 x 3
4 x 12 = 12 x 4
Non-Examples
18 – 9 ≠ 9 – 18
12 – 5 ≠ 5 – 12
60 ÷ 10 ≠ 10 ÷ 60
15 ÷ 3 ≠ 3 ÷ 15

6. Distributive Property
States…
that when a number is multiplied by the sum of two other numbers, the first number can be handed out or distributed to both of those two numbers and multiplied by each of them separately
Distributive Property
Examples
2 x (10 + 3) = (2 x 10) + (2 x 3)
4 x (1 + 6) = (4 x 1) + (4 x 6)
4 x 15 = (4 x 10) + (4 x 5)
5 x 21 = (5 x 20) + (5 x 1)