Distributive Property a(b + c) = ab + ac
What does distribute mean? To distribute means to disperse or pass out. Think about a paper boy. What does he do? Right! He delivers, or distributes, a newspaper to everyone who signed up to receive it.
The Paper boy + OR (+)
With Numbers – Distributive Property works the same way! 3(4 + 5) 3(4) + 3(5) (4 + 5) 3(9) 27 Distributive Property v. Order of Operations
Wait, how do we do it? 5( ) Step 1: Distribute, or share, the 5 with all terms inside the parenthesis Step 2: Multiply Step 3: Combine like terms 5(10)+ 5(12)
Practice with Numbers 1. 8(5 + 9) 8( ) + 8( ) + = 2. 3(6 + 7 – 2) 3( ) + 3( ) – 3( ) + – =
What about variables? Distributive Property works the same way! 5(x + 4) 20 5(x)+ 5(4) 5x + 20 Step 1: Distribute, or share, the 5 with all terms inside the parenthesis Step 2: Multiply Step 3: Combine like terms 5x+
Practice with Variables 1. 7(x + 4) 7( ) + 7( ) + = 2. 2(5x ) 2( ) + 2( ) + 2( ) + + = x4 7x287x x 46 10x81210x + 20
Great job! You are ready to practice!!!