Relating Multiplication and Division

M4A1 Students will represent and understand mathematical

relationships .

Essential Question: How can we use our understandingof multiplication to assist us with the process of division?

Remember! Fact Families and Inverse Operations?

20

5

If 5 X 4 = 20,then, 20 ÷ 5 = 4

4

MultiplicationAnswers the question-- How many total?Look at this example:

Mrs. Evans went to the grocery store and got four bags of groceries. If there are 6 items in eachbag, how many total items does she have?

4 X 6 = 24

DivisionAnswers the question- How many in each?Take another look at our example:

Here is how the problem would change:

Mrs. Evans went to the grocery store and bought24 items. She has four bags. How many items wouldevenly be in each bag?

24 ÷ 4 = 6

Before we look any further, let’s learn our division vocabulary!

45 DividendA number that is dividedby another number.I’m BIG!!!(I’m cozy in my den.)

9

DivisorIndicates the size of each group.(I’m outside in the sun!)

5QuotientThe result of a division problem.(I’m outside in thetent!)

45 ÷ 9 = 5Here it is again!

DividendA number that is dividedby another number.

DivisorIndicates the size of each group.

QuotientThe result of a division problem.

49 ÷ 7 = 7 49

50 ÷ 10 = 10 50

63 ÷ 9 = 9 63

72 ÷ 9 = 9 72