Monday, Feb. 3 1. Homework- pink sheet and Blizzard Bags 2. Download lesson 2–3 Distributive Property under Unit 4 Expressions The Distributive Property Ex: Yesterday Steve bought 5 DVD's at the store. DVD's cost $8 each. Today he bought 7 more. How much money did he spend on DVD's? Which method did you use? 5x8 + 7x8 or 8 x (5 + 7) Will you get the same answer? Pull The Distributive Property Ex: Yesterday Steve bought 5 DVD's at the store. DVD's cost $8 each. Today he bought 7 more. How can much money did he spend on DVD's? 8x5 + 8x7 40 + 56 $96 or 8 x (5 + 7) 8 x (12) $96 The Distributive Property Ex: The school cafeteria sells an average of 30 apples and 20 banana's everyday. How many total pieces of fruit do they sell in one week (five days)? 5 x 30 + 5 x 20 150 + 100 250 pieces of friut or 5 x (30 + 20) 5 x (50) 250 pieces of friut Pull The Distributive Property The Distributive Property is used to multiply a single term and two or more terms inside a set of parentheses. a(b + c) = a b + a c Example: 6(2 + 4x) Be pro thro Pull Try These on Your Own! Use the Distributive Property. 7(y + 3) 7y + 21 8(m - 1) 8m - 8 5(4x - 5) 20x - 25 -9(4 + 2n) -36 - 18n Let's Try These Together! Use the Distributive Property. 1. 2(x + 3) 3. 8(2 + 3w) 2. 5(n - 7) *4. -6(a + 4) Distributive Property There are two different ways we can show how items are distributed using mathematical expressions. Both ways will give the same result in the end - they will be equal. Ex: If there are 4 students and each brought 2 folders and one notebook to class. We can find how many supplies they brought two different ways. 4 X (2 + 1) students folders and notebooks or (4 X 2) + (4 X 1) students' folders students' notebooks The distributive property says that 4 X (2+1) = (4X2) + (4X1) #1 Distributive Property There are four children. Each has 2 blue pens and 3 black pens. How many pens is that altogether? Use distributive property to solve. #2 Distributive property There are 6 skateboarders. Each has one helmet and 4 pads. Use distributive property to solve. #3 Distributive Property The ballet class is leaving for the recital. Each of the 10 girls has 3 costumes and 2 shoes. Use distributive property to solve. #4 Distributive Property There are three tables. Each table has 6 bowls of snacks and 5 bottles of lemonade. Use distributive property to solve. #5 Distributive Property There are 5 tables and each one has 4 chairs around it. There are also 2 stools at each table. Use distributive property to solve. #7 Distributive Property There are 6 picnic baskets. Each basket contains 4 sandwiches and 8 pieces of fruit. Use distributive property to solve. #8 Distributive Property There are 7 girls at the sleepover . Each brought 3 stuffed animals and 2 board games. Use distributive property to solve. You can use the distributive property to help you multiply faster. You can use the distributive property to help you multiply faster. Ex. 17 x 6 Think instead 10 x 6 + 7 x 6 Ex. 17 x 6 Think instead 10 x 6 + 7 x 6 60 60 42 42 102 102 Try these: a) 7 x 23 b) 6 x 14 c) 8 x 31 #6 Distributive Property There are 7 goldfish and 6 guppies in each fishtank. There are 8 fishtanks. Use distributive property to solve.