Charades

Associative Property The word “associative comes form “associate” or “group”. The way in which numbers are grouped when added or multiplied does not change the sum or product. Examples: (3+4) + 5 = 3 + (4+5) (2x3) x 4 = 2 x (3x4) * The numbers never change place

Practice -5 + (-3 + -4) = 8 + (-2 + 5) Rewrite the following problem using the associative property: -5 + (-3 + -4) = 8 + (-2 + 5)

Commutative Property The word “commutative comes from “commute” or “move around”. The order in which numbers are added or multiplied does not change the sum or product. Examples: 4 + 3 = 3 + 4 5 x 4 = 4 x 5

Practice -5 + (-3 + -4) = 8 + (-2 + 5) Rewrite the following problem using the Commutative property: -5 + (-3 + -4) = 8 + (-2 + 5)

Identity The numbers 0 and 1 are called the identity elements for addition and multiplication. The word identity comes from the Latin word idem, which means the same.

Additive Identity Example: 5 + 0 = 5 a + 0 = a The sum of any number and 0 is the number. Example: 5 + 0 = 5 a + 0 = a

Multiplicative Identity The product of any number and 1 is the number. Examples: 7 x 1 = 7 1 x n = n

Multiplication Property of Zero The product of any number and 0 is 0. Examples: 3.784 x 0 = 0 a x 0 = 0 and 0 x a = 0

Error Analysis 2 + ( 6 + 7) = (6 + 7) + 2 Describe the Error: Why is this not Associative 2 + ( 6 + 7) = (6 + 7) + 2

Error Analysis 3 + ( 5 + 1) = (3 + 5) + 1 Describe the Error: Why is this not commutative 3 + ( 5 + 1) = (3 + 5) + 1

Identify 7 + ( 5 + 4) = (4 + 5) + 7 86(12)(0) 2 + (3 + 1) = 3 + (1 + 2)

Why you are learning this ½ * 8/7 * 2/1 = By using the commutative property you can multiply ½ * 2/1 1st and that will give you 1 and multiply 1*8/7 = 8/7 When you have more than one # to multiple it allows you to choose which number to use 1st.