Integer Multiplication with Two – Colored Counters
EXAMPLES:
A.) 2 ● 3……….This problem means “two groups of three”
B.) 2 ● - 3……..This problem means ___________________________
C.) - 2 ● 3……..This problem means “the opposite of two groups of three”
D.) - 2 ● - 3…….This problem means ____________________________________
Match the problem with the correct model and answer. Color all matches the same.
Problem
Model
Answer
2

4
-10
2

-4
-8
-2

5
6
-2

-5
10
3

2
8
3

-2
-6
Write the problem from the tile representation then solve.
1.)
Problem: __________
Answer: ___________
2.)
Problem: __________
Answer: ___________
3.)
Problem: __________
Answer: __________
4.)
Problem: __________
Answer: ___________
Represent the following using algebra tiles.
5.) - 1 ● 4 = _____
6.) 4  -2 = _____
7.) 2 groups of 5 = _____
8.) - 5 (3) = _____
9.) - 2 ● - 4 = _____
10.) The opposite of 3 groups of 2 = _____
Why is Your Nose in the Middle of Your Face?
Place the letter that you DO NOT USE in the corresponding blank in the puzzle below.
1
2
3
4
-4
5
6
 -8
G
-48
K
-20
-9
 -2
E
-18
R
18
-3
8
-4
 -6
B
24
T
-49
7
7
U
-24
F
49
-5
 -9
20
 -4
S
-48
V
-80
-16
2
M
-32
D
45
6
 -6
Answers:
Answers:
L
-36
W
36
-12
 -3
I
-180
F
180
7
4
11
-1
 24
2
 -24
H
-24
P
-48
-3
 -24
O
72
T
84
Answers:
-7
 -11
15
 -4
G
-60
E
75
-12
 -5
J
77
C
60
4
 50
12
Answers:
13
Answers:
-25
8
R
-100
B
200
-90
0
F
0
M
-200
11
1
9
10
Answers:
 -18
6
9
Answers:
-10
5
8
13
3
5
14
8
-2

3

-5
4

-1

9
P
-36
W 30
-8

-5

2
S
36
V
6

-2

-4
-7

5

2
-3

-8


Answers:
80
Answers:
L
-2
48
T
N -70
-50
D -48
4

3
-9

-8

-1
H
-72
U
-60
-2
2
-6
R
24
E
-24
-7

-3

-4
5

-9

2
O -90
H 84
-6

-5

3
T -84
W 90
-5
Answers:
Answers:
-8

2

10
4

-5

-5
C -100
P -160
-6

-8

-2
A
L -96
-7

9

-1
-3

-5
4

8
-2

-15
-6

-1

25
A
150
3

-3

3
M
-27
12


6
Answers:
Answers:
-3
-2

100
O 63
E -45
I
B -64
-5
14
-48
Answers:
2
10
N 27
Y -150
7
Activity 8: Multiplication with Two-Colored Chips
Use the two-colored chips to represent each addend and manipulate them to model each problem given
below. Make a sketch to illustrate what was done in each problem. Problem 1 is done for you.
1.
(+3) (–4) = –12
2.
(–2) ● (5) =
3.
–3●–4=
4.
–4 (+2) =
5.
3 (–1) =
6.
(–1) (–4) =
7.
(+2) (+3) =
8.
(–2) (+1) =
9.
(+1) (–2) =
10.
(–3)2 =
NAME
DATE
PERIOD
Study Guide and intervention
Multiplying Integers
The product of two integers with different signs is negative.
The product of two integers with the same sign is positive.
Multiply 5(-2).
5(-2) = - 10
The integers have different signs. The product Is negative.
Multiply-3(7).
-3(7) = -21
The integers have different signs. The product Is negative.
Multiply-6(-9).
-6(-9) = 54
The integers have the same sign. The product Is positive.
Multiply (-7)2.
(--7)2 = (-7)(-7)
= 49
There are 2 factors of -7.
The product is positive,
Simplify-2(6c).
-2(6c) = (-2 • 6)c Associative Property of Multiplication,
= -12c
Simplify,
8_
E
Simplify 2(5x).
5
2(5x) = (2 • 5)x
= lOx
Associative Propery of Multiplication.
Simplify,
-ÿ.
'6
Multiply.
@
i. -5(8)
2. -3(-7)
4. -8(3)
5. -12(-12)
3. 10(-8)
6. (-8)2
ALGEBRA Simplify each expression.
7. -5(7a)
10. 7(6b)
8. 3(-2x)
9. 4(6/)
11. -6(-3y)
12. 7(-8g)
ALGEBRA Evaluate each expression if a = -3, b = -4, and c = 5.
13. -2a
14. 9b
15. ab
16. -3ac
17. -2c2
18. abc
Chapter 2
47
Glencoe MAC 2
NAME
DATE
PERIOD
Practice
Multiplying integers
Multiply.
1. 4(-7)
2. -14(5)
4. -6(-8)
5. 27(-3)
7. -55(0)
10. (-3)3
3. 9(-12)
6. -11(-13)
8. (-7)(-7)
11. (-1)4
9. 78(-1)
12. (-8)2
13. Find -5 cubed,
14. Find the product of 13 and -31.
ALGEBRA Evaluate each expression a = -5, b = 4, c = -1, and d = 8.
15. 5b
16. 3c
17. ad
18. -7bd
19. abe
20. -5c3
21. -a2b
22. -4d - a
23, b2 - 4ac
24. RECREATION Hiking up a mountain, you notice that the air temperature
drops 10°C for every 1,000 meters increase in elevation. Write a
multiplication expression to represent the decrease in temperature if you
hike up the mmmtain 3,000 meters. Then evaluate the expression and
explain its meaning.
o
Chapter 2
49
Glencoe MAC 2