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.