States… Associative Property Examples Non-Examples

States… Commutative Property Examples Non-Examples

Distributive Property States… Distributive Property Examples

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)

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 10 + 5 = 5 + 10 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

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)