SPONGE

Properties of Addition and Multiplication

Commutative Property Definition: The order in which two numbers are added or multiplied does NOT change their sum or product.

Commutative Property Examples: Addition: a + b = b + a = Multiplication: a · b = b · a 4 · 6 = 6 · 4

Commutative Property

Associative Property Definition: The way in which THREE numbers are grouped when they are added or multiplied does NOT change their sum or product

Associative Property Examples: Addition: a + (b + c) = (a + b) + c 2 + (3 + 4) = (2 + 3) + 4 Multiplication: a · (b · c) = (a · b) · c 4 · (3 · 2) = (4 · 3) · 2

Associative Property

Identity Property Definition: The sum of an addend and 0 is the addend. The product of a factor and 1 is the Factor

Identity Property Examples: Addition: a + 0 = a = 15 Multiplication: a · 1 = a 7 · 1 = 7

Identity Property

Distributive Property Definition: To multiply a sum by a number, multiply each addend by the number outside the parentheses

Distributive Property Examples: a(b + c) = ab + ac 2(7 + 4) = 2 · ·

Think about Angry Birds!!!!

Distributive Property Working with a variable and Distributive Property: Using the Distributive Property rewrite 2(x + 3) 2(x + 3) = 2 · x + 2 · 3 2x + 6 YOU ARE DONE---can’t simplify any further unless you are given what x equals.

Distributive Property Factoring Each Expression We learned this when we discussed GCF !!!!! 1)Find GCF- Goes on the outside of parenthesis 2)Find the remaining factors and put them in parenthesis GCF = 4 Remaining Factors 4(3) + 4(2) 4(3 + 2)

Re-Cap of Lesson Properties Math Rap