Distributive multiplication

1. Multiplication
Using the Distributive Property

2. What’s the Distributive Property?
•When using the distributive property, you break
down large complex numbers into numbers that are
easier to work with.
•You often use expanded form.

3. What’s the Distributive Property?
Here’s an example:
62 x 3
Let’s use the distributive
property to find the product.

4. 62 x 3
1. Write the multi-digit number in expanded form.
Another way of writing 62 is:
60 + 2
60 + 2

5. 62 x 3 = ( x ) + ( x )
Since 62 is a two digit number, we
need two sets of parentheses.
60 2
+
2. Set up your parentheses.

6. 62 x 3 = ( x ) + ( x )
3. Multiply each part of the expanded number by the
one-digit factor.
Multiply 60 by 3, and 2 by 3.
60 2
+
33

7. 62 x 3 = ( x 3) + ( x 3) = +
4. Find the product to each multiplication problem.
60 x 3 = 1802 x 3 = 6
60 2 1806

8. 62 x 3 = ( x 3) + ( x 3) = 180 + 6 = 186
5. Add the products together.
180 + 6 = 186
60 2

9. 62 x 3 = ( x 3) + ( x 3) = 180 + 6 = 186
6. Check your work using the traditional method of
multiplication.
62
x 3
60 2 √

10. That wasn’t so bad! Let’s try
another...
87 x 5

11. 87 x 5
1. Write the multi-digit number in expanded form.
Another way of writing 87 is:
80 + 7
80 + 7

12. 87 x 5 = ( x ) + ( x )
Since 87 is a two digit number, we
need two sets of parentheses.
80 7
+
2. Set up your parentheses.

13. 87 x 5 = ( x ) + ( x )
3. Multiply each part of the expanded number by the
one-digit factor.
Multiply 80 by 5, and 7 by 5.
80 7 55

14. 87 x 5 = ( x 5) + ( x 5) = +
4. Find the product to each multiplication problem.
80 x 5 = 4007 x 5 = 35
80 7 40035

15. 87 x 5 = ( x 5) + ( x 5) = 400 + 35 = 435
5. Add the products together.
400 + 35 = 435
80 7

16. 87 x 5 = ( x 5) + ( x 5) = 400 + 35 = 43580 7
6. Check your work using the traditional method of
multiplication.
87
x 5 √

17. Ready to try a few on your own?
I thought so. Try solving the problems on the worksheet,
“Using the Distributive Property”