1. Relate Multiplication and Division
THE BIG QUESTION!!
How is Multiplication used to solve a Division problem?

2. Relate Multiplication and Division
You can use the relationship between multiplication and division to solve a division problem. Using the same numbers, multiplication and division are opposite, or INVERSE OPERATIONS
Multiplication undoes Division
Division undoes Multiplication

3. Relate Multiplication and Division
Same Fact Families
3 x 8 = /3 = 8
6 x 7 = / 7 = 6
3 x 11 = /11 = 3

4. Relate Multiplication and Division
Joel and 5 friends collected 126 marbles. They shared the marbles equally. How many marbles will each person get?
Make an ARRAY
Outline a rectangular array on the grid to model 126 squares arranged in 6 rows of the same length. Shade each row a different color.

5. Relate Multiplication and Division
126/6 = _____
The DIVIDEND is the number being divided into.
126 is the Dividend.
The divisor is the number going into the number.
6 is the Divisor.
The Quotient is the Answer in Division.
________ is the quotient.

6. Relate Multiplication and Division

7. Relate Multiplication and Division
Important Questions.
How many squares are shaded in each row?
______
Use the array to complete the multiplication sentence. Then, use the multiplication sentence to complete the division sentence.
6 x _____ = /6 = _______
So each of the 6 friends will get _____marbles.

8. Relate Multiplication and Division
Use the Distributive Property.
You can use the Distributive Property and an area model to solve division problems. Remember that the Distributive Property states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and the adding products.

9. Relate Multiplication and Division
52/4 = ? Write a related multiplication sentence for the division problem.
Think: Use the divisor as a factor and the dividend as the product. The quotient will be the unknown factor. ? 4

10. Relate Multiplication and Division
52/4 = n n = ____
4 x n = 52 n = _____
Use the Distributive Property to break apart the large area into smaller areas for partial products that you know.

11. Relate Multiplication and Division
= 52
(4 X ___) + ( 4 X ___) = 52
Find the sum of the unknown factors of the smaller areas.
______ + _____ = 52

12. Relate Multiplication and Division
Write the multiplication sentence with the unknown factor that you found. Then, use the multiplication sentence to find the quotient.
4 x _____ = 52
52/4 = _____

13. Relate Multiplication and Division
Use the Multiplication and the Distributive Property to find the quotient.
70/5 = _____
( x ) + ( x ) = ____
_____ x _____ = _____

14. Relate Multiplication and Division
96/6= _____
( x ) + ( x ) = _____
______ + _______ = _____

15. Relate Multiplication and Division
85/5 = _____
( x ) + ( x ) = _____
_____ + ______ = _______

16. Relate Multiplication and Division
84/6 = _____
( x ) + ( x ) = ______
_____ + ________ = _______

17. Relate Multiplication and Division
168/7 = _____
( x ) + ( x ) = _____
_____ + ______ = ______

18. Relate Multiplication and Division
104/4 = ______
( x ) + ( x ) = _______
______ + _______ = _______

19. Relate Multiplication and Division
171/9 = ______
( x ) + ( x ) = ______
______ + _______ = _______

20. Relate Multiplication and Division
102/6 = _____
( x ) + ( x ) = ______
_______ + _______ = _______

21. Relate Multiplication and Division
210/5 = _____
( x ) + ( x ) = _______
_______ + ______ = ________

22. Relate Multiplication and Division
Explain how you can use the Distributive Property to find the quotient of 96/8.
Make fact families.
96/8 = _____
8 x ______ = Now show the Distributive Property.