Name:_______________________________
1.5 Multiplying and Dividing Integers
Express each sum as a product:
15 + 15 + 15 + 15 + 15 + 15 + 15 =
7.1 + 7.1 + 7.1 + 7.1 + 7.1 =
(-1) + (-1) + (-1) + (-1) =
(- 4) + (- 4) + (-4) + (-4) + (- 4) + (- 4) =
Express each product as a sum:
(-1) · 3 =
(-1) · 5 =
6 · (-1) =
 Multiplying a number by -1 will change the number to its _______________________.
Multiplying AND Dividing Integers
with Different Signs
Multiplying AND Dividing Integers
with the Same Sign
+
•
–
=
+
•
+
–
•
+
=
–
•
–
Find each product.
1. –5(4) _35
2. 6(–2) _54
–12 ÷ (–4)
_
_
_
_
_
_
2 rows of 3 negative counters
or
3 columns of 2 negative
counters
4. –12 · –2
-6
-3
0
2 jumps by -3 or
-6
Separate 12 negative counters
into groups of 4 negative
counters. How many groups?
-4
-4
-12
Answer: 3
_
_
–12 ÷ 4
Answer: -3
=
3. (−3) (−3) _4
2 · (–3) or
–2 · 3
=
_
_
_
_
_
_
_
_
-2
-12
-4
-8
0
-4
-4
0
_
_
Separate 12 negative counters
into 4 equal groups. How
many counters in each group?
Are they positive or negative?
Divide the length
from 0 to -12 into groups of -4
-12
-12
-9
-6
-3
0
Find each product.
1. –5(7) _35
2. 6(–9) _54
3. (−3)²_4
4. -12 · –2 · 0 · –125
0
5. 5(–11) _55
6. –15(–4) 60
7. –10 · 4 _28
8. (−4)²
10. –9(10) _90
11. 12(–6) _72
12. (–7)²
9. –18 · 2 _
3
6
13. -4(-4)(5) 80
40
16. -7(-3)(2) 42
14. 6(-7)(2) _84
15. -10(-4)(-6) _
17. -9(4)(2) _72
18. 6(-4)(-12)(0) 28
Find the quotient:
27. -15 ÷ 3 _
31.
−16
−4

28. 40 ÷ (-5) _90
_
32.
𝟎
=
−𝟒
−48
−6
29. -63 ÷ (-7) _72
_90
33.
−54
9
30. 36 ÷ 4
_72
34.
𝟎
𝟑
=
𝟕
𝟎
35
−5
=
How many times can we fit 0 in 3?
35. The price of a stock decreased $2 per day for
four consecutive days. What was the total change
in value of the stock over the four-day period?
36. A football team lost 9 yards on each of the
three consecutive plays. What was the team’s total
change in position for the three plays?
Find the average (mean) of each group of numbers.
37. 3, 12, 6
24. -8, -1, -3
25. -8, 15, -5, 8
26. -3, -10, 2, -4, 0
27. The architecture firm of Stuart and Maxwell, Ltd., had monthly profits of $1400, $700, –$450, $280,
and –$620 over 5 months. What was the average profit for those months?
HOMEWORK 1.5
1. Multiply or divide.
a. 8(–8)
b. –3(–7)
c. –9(4)
d. 12(8)
e. 33 ÷ (–3)
f. –25 ÷ 5
g. 48 ÷ 4
h. –63 ÷ (–7)
i. (–4)²
g. – 15
k. –6(3)(–5)
l.
60
m. –3(–4)(2) 80
n. 7(–1)(–5) _84
o. –6(–4)(2) _
40
p. –4(10)( –2) 42
q. –5(5)(2) _72
r. 6(–3)(–10)(0)
−𝟏𝟒𝟎
−𝟏𝟎
Find the mean of each set of integers.
2. –8, –5, 3, –9, 5, 2, 5
3. 11, –15, –16, 17, –20, –18, –22
4. If you have $216 and you spend $12 each day, how long would it be until you had no money left?
5. During a six hour period, the temperature dropped 18°F. Find the average hourly change in the
temperature.
6. Order the integers in the set {14, |–3|, –10, |1|, –1} from least to greatest.
Add or Subtract.
7. –10 + 6
8. 32 + (–5)
9. –17 – (–16)
10. -9 + (–11) – 2
11. 9 – 12
12. –11 – 2
13. 15 – (–7)
14. –8 + (–4)