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Relating Multiplication
and Division
M4A1 Students will represent and
understand mathematical
relationships .
Essential Question: How can we use our understanding
of multiplication to assist us with the process of division?
Remember!
Fact Families and Inverse Operations?
20
If 5 X 4 = 20,
then, 20 ÷ 5 = 4
4
5
Multiplication
Answers 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 each
bag, how many total items does she have?
4 X 6 = 24
Division
Answers 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 bought
24 items. She has four bags. How many items would
evenly be in each bag?
24 ÷ 4 = 6
Before we look any further, let’s
learn our division vocabulary!
Quotient
Divisor
Indicates the size of
each group.
(I’m outside in the sun!)
9
5
45
The result of a
division problem.
(I’m outside in the
tent!)
Dividend
A number that is divided
by another number.
I’m BIG!!!
(I’m cozy in my den.)
Here it is again!
45 ÷ 9 = 5
Dividend
A number that is divided
by another number.
Divisor
Indicates the size of
each group.
Quotient
The result of a
division problem.
49 ÷ 7 =
7 49
50 ÷ 10 =
10 50
63 ÷ 9 =
9 63
72 ÷ 9 =
9 72