Distributive Property Part A Unit 3 Lesson 3

Distributive Property Part A Unit 3 Lesson 3 You will need paper and pencil for this lesson!

Objectives • Demonstrate how and when to use the distributive property.

Let’s Review! • Parenthesis ( ) • Multiply or Divide- do whichever is first from left to right • Add or Subtract-do whichever is first from left to right. e s u c x E me!

Warm Up!

Let’s watch a video on how to use the distributive property! Login: habrainpop Password: brainpop

If you distribute something, it means you are spreading it out giving it away.

Distributive Property 2 x (4 +4) The distributive property says we can take the number on the outside and share it or give it to everyone. To do this, write two new Math problems where we multiply the outside number by both numbers in the parenthesis, and then add the answers.

Let’s Look at Another Example: 3 x (7 + 2)

Let’s Prove this works! 5 x (3+4)

Now You Try! 2 x (3 + 5) (2 x ) + (2 x ) 3 x (1 + 7) (3 x ) + (3 x ) 5 x (2 + 3) (5 x ) + (5 x ) 2 x (6 + 2) (2 x ) + (2 x )

We can use the distributive property to help us come up with the answer to harder multiplication problems much easier. For example: 6 x 54 Let’s put 54 in expanded form: 50 + 4 Now, we can rewrite it like this: Let’s use the distributive property!

Let’s Try Another One: 4 x 47 First, write the expanded form of 47: Next, multiply each addend by 4:

Another Practice Problem! 5 x 33

Now You Try! 2 x 71 3 x 45 5 x 62 2 x 84

Checkup! What goes in the box? 2 × (4 + 5) = 2 × 4 + 2 × Solve by using the Distributive Property 5 × (3 − 1) What goes in the box? 30 − 24 = × (5 − 4) Solve by using Distributive Property 35 × 6 =