1. Multiply with Bigger Numbers
MAFS.3.OA.2.5
(MAFS.3.OA.3.7)

2. Use the DISTRIBUTIVE PROPERTY to multiply: 30 × 4
Lesson Opening
Use the DISTRIBUTIVE PROPERTY to multiply: 30 × 4 10 10 10
10 × 4 = 40
10 × 4 = 40
10 × 4 = 40
= 120
30 × 4 = (10 × 4) + (10 × 4) + (10 × 4) = 120

3. Can we use the Distributive Property to multiply 14 × 3?
Here is how we could write this mathematically.
(10 + 4) × 3 =
Decompose one factor into numbers that are easier to multiply. 10 4
(10 × 3) + (4 × 3) =
10 × 3
4 × 3
Multiply each part by the other factor. 42 +
= 42 30 12
Add the products.

4. Let’s try another one.

5. Can we use the Distributive Property to multiply 13 × 7?
Here is how we could write this mathematically.
(10 + 3) × 7 =
Decompose one factor into numbers that are easier to multiply. 10 3
(10 × 7) + (3 × 7) =
10 × 7
3 × 7
Multiply each part by the other factor. 91 +
= 91 70 21
Add the products.

6. Let’s try another one.

7. Can we use the Distributive Property to multiply 23 × 4?
Here is how we could write this mathematically.
( ) × 4 =
Decompose one factor into numbers that are easier to multiply. 10 10 3
10 × 4
3 × 4
(10 × 4) + (10 × 4) + (3 × 4) =
Multiply each part by the other factor.
10 × 4 + + 92
= 92 40 40 12
Add the products.

8. Do you know another strategy for multiplying 23 × 4?
Repeated Addition:
But it may be easier to use the Distributive Property mentally.

9. Your Turn
= (10 × 3) + (6 × 3)
= 48
16 × 3
22 × 4
8 × 13
21 × 3
19 × 5
6 × 14
You do not have to decompose one of the factors the exact same way that is shown here. Decompose the factors in a way that makes it easier for you to solve the multiplication problem.
= (20 × 4) + (2 × 4)
= 88
= (8 × 10) + (8 × 3)
= 104
= (20 × 3) + (1 × 3)
= 63
= (10 × 5) + (9 × 5)
= 95
= (6 × 10) + (6 × 4)
= 84

10. Your Turn Show two different ways to decompose a factor to multiply.
Then, find the product.

11. Select all the ways that you could use to solve the expression:
Exit Ticket
Select all the ways that you could use to solve the expression:
(10 × 4) + (7 × 4)
(7 × 7) + (7 × 7)
(10 + 4) × 7
(4 × 7) + (10 × 7)
(10 × 7) + (4 × 7)
14 × 7