We reviewed the properties of numbers. They are
Commutative Property - This property allows you to change order in addition or multiplication without changing the answer. Example
3(4) = 4(3) or
3 + 4 = 4 + 3
Associative Property - This property allows you to change the grouping using parenthesis in addition or multiplication without changing the answer. Example
1 + (2 + 3) = (1 + 2) + 3 or
2(3x4) = (2x3)4
Distributive Property - This property allows you to distribute (hand out) mult or division over addition or subtraction. Example
3(4 +6) = 3(4) + 3(6) or
3(4 - 6) = 3(4) - 3(6) or
(8 + 6)/2 = 8/2 + 6/2 or
(8 - 6)/2 = 8/2 - 6/2
Properties
Commutative Property
Which of the following are true for the commutative property?
1. 3 + 4 = 4 + 3
2. 3 – 4 = 4 – 3
3. 5(6) = 6(5)
4. 12 ÷ 6 = 6 ÷ 12
Which of the following are true for the associative property?
5. 1 + (2 + 3) = (1 + 2) + 3
6. 1 – (2 – 3) = (1 – 2) – 3
7. 4(3•5) = (4•3)•5
8. 12 ÷ (6 ÷ 2) = (12 ÷ 6) ÷ 2
Which of the following are true for the distributive property?
9. 4(3 + 5) = 4•3 + 4•5
10. 7(6 – 2) = 7•6 - 7•2
11. (3 + 4)2 = 32 + 42
12. (16 + 4) ÷ 2 = 16 ÷ 2 + 4 ÷ 2
