Multiplication of Integers Modeling with Tiles

1
Multiplication of Integers Modeling with Tiles
( 2) x ( 3)
This means we have 2 groups of 3 yellows
We have 6 yellows so, ( 2) x ( 3) 6
( 3) x (- 4)
This means we have 3 groups of 4 reds
We have 12 reds so, ( 3) x (- 4) - 12
2
(- 2) x (- 5)
This means we need to remove 2 groups of 5
negatives. Before we can remove them, we need
them. We can use zero pairs to create them.
We can now remove the two groups of reds
We are left with 10 yellow so, (- 2) x (- 5)
10
3
(-3) x (2)
This means we need to remove 3 groups of 2
positives. Before we can remove them, we need
them. We can use zero pairs to create them.
We can now remove the three groups of two
positives
This leaves 6 reds to represent (-6), (-3) x (2)
-6
4
Multiplication of Integers Modeling with a
Number Line
( 2) x ( 3)
This is like 2 steps of 3 units each.
So, ( 2) x ( 3) 6
5
Multiplication of Integers Modeling with a
Number Line
(4) x (- 2)
This is like 4 steps of -2 each
So, (4) x (- 2) -8
(-2) x (4) is like 2 steps of 4 in the negative
direction
So, (-2) x (4) -8
6
Multiplication of Integers Modeling with a
Number Line
(-5) x (-2)
This is like 5 steps of -2 but in a backward
direction. This is the same as 5 steps of 2.
So, (-5) x (-2) 10
7
Key Points for Multiplication of Integers
When we multiply two positive integers the answer
will always be positive When we multiply two
negative integers the answer will always be
positive When we multiply a positive and negative
integer the answer will always be negative

• x
• x - -
• - x -
• x -