Relate Multiplication and Division

• THE BIG QUESTION!!

How is Multiplication used to solve a Division problem?

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

Relate Multiplication and Division

• Same Fact Families

• 3 x 8 = 24 24/3 = 8

• 6 x 7 = 42 42/ 7 = 6

• 3 x 11 = 33 33/11 = 3

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.

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.

Relate Multiplication and Division

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 _____ = 126 126/6 = _______• So each of the 6 friends will get _____marbles.

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.

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

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.

Relate Multiplication and Division

• 40 +12 = 52

• (4 X ___) + ( 4 X ___) = 52• Find the sum of the unknown factors of the

smaller areas.• ______ + _____ = 52

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 = _____

Relate Multiplication and Division

• Use the Multiplication and the Distributive Property to find the quotient.

• 70/5 = _____

• ( x ) + ( x ) = ____• _____ x _____ = _____

Relate Multiplication and Division

• 96/6= _____

• ( x ) + ( x ) = _____

• ______ + _______ = _____

Relate Multiplication and Division

• 85/5 = _____

• ( x ) + ( x ) = _____

• _____ + ______ = _______

Relate Multiplication and Division

• 84/6 = _____

• ( x ) + ( x ) = ______

• _____ + ________ = _______

Relate Multiplication and Division

• 168/7 = _____

• ( x ) + ( x ) = _____

• _____ + ______ = ______

Relate Multiplication and Division

• 104/4 = ______

• ( x ) + ( x ) = _______

• ______ + _______ = _______

Relate Multiplication and Division

• 171/9 = ______

• ( x ) + ( x ) = ______

• ______ + _______ = _______

Relate Multiplication and Division

• 102/6 = _____

• ( x ) + ( x ) = ______

• _______ + _______ = _______

Relate Multiplication and Division

• 210/5 = _____

• ( x ) + ( x ) = _______

• _______ + ______ = ________

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 ______ = 96 Now show the

Distributive Property.