1. Properties of Numbers

2. Additive Identity Adding “0” to a number gives you the same initial number. Example 5 + 0 = 5 0 + 99 = 99

3. Commutative Property of Addition a + b = b + a Switching the numbers around will not change the answer!

4. Let’s Explore the Commutative Property Each person will receive two sets of cubes. We will make number sentences using our cubes and explore the commutative property of addition.

5. Question Would there be a commutative property of subtraction?

6. Associative Property of Addition (a + b) + c = a + (b + c) The way we group numbers does not change the sum! The order stays the same…just move the parenthesis!

7. Question Would there be an associative property of subtraction?

8. Zero Property of Multiplication a x 0 = 0 Any number multiplied by “0” will result in “0!”

9. Multiplicative Identity a x 1 = a *Any number you replace “a” with will give you the same number!

10. Commutative Property of Multiplication a x b = b x a 3 x 5 = 5 x 3 Do you think division would have a commutative property???

11. Associative Property of Multiplication (a x b) x c = a x (b x c) (2 x 3) x 4 = 2 x (3 x 4)

12. Quiz on Properties a + b = b + a (a + b) + c = a + (b + c) a + 0 = a a x 0 = 0 a x 1 = a a x b = b x a (a x b) x c = a x (b x c)