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Unit 7: Multiply and Divide Rational Numbers

Total questions: 150

Worksheet time: 7hrs 7mins

Name
Class
Date
1.

(-5)(-6)

a)

30

b)

-30

c)

-35

d)

25

2.

45/(-5)

a)

15

b)

-3

c)

-9

d)

-7

3.

-28÷4

a)

-8

b)

-7

c)

6

d)

-12

4.

11 • (-3)

a)

33

b)

-30

c)

30

d)

-33

5.

-8 * 4

a)

24

b)

-36

c)

-32

d)

-24

6.

-3 • -9

a)

27

b)

18

c)

-18

d)

42

7.

5 x (-7)

a)

44

b)

-25

c)

30

d)

-35

8.

-20 ÷ (-5)

a)

-4

b)

10

c)

4

d)

5

9.

-35 ÷ -7

a)

5

b)

7

c)

9

d)

-4

10.

12/(-3)

a)

4

b)

-4

c)

3

d)

-3

11.

(-6)(-6)

a)

-36

b)

24

c)

48

d)

36

12.

-9 ÷ 3

a)

27

b)

-27

c)

-3

d)

3

13.

(-28) ÷ (-4)

a)

-6

b)

7

c)

12

d)

-7

14.

-8 * -7

a)

56

b)

-56

c)

48

d)

-48

15.

-6 x -4

a)

-24

b)

18

c)

16

d)

24

16.

-24/8

a)

6

b)

-3

c)

3

d)

-4

17.

(-42)/(-7)

a)

6

b)

8

c)

-5

d)

-4

18.

5 • -9

a)

-45

b)

-54

c)

-36

d)

36

19.

-16 ÷ 8

a)

-3

b)

-2

c)

2

d)

3

20.

-9 • -4

a)

28

b)

-36

c)

36

d)

45

21.
When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...
a)
POSITIVE
b)
NEGATIVE
c)
DEPENDS ON WHICH NUMBER IS LARGER.
22.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
23.
-7(10)=
a)
70
b)
700
c)
-70
d)
-700
24.
-3(-4)
a)
-12
b)
c)
-7
d)
12
25.
(-25) ÷ (-5)
a)
5
b)
-5
c)
-20
d)
-30
26.
64 ÷ (-8)
a)
8
b)
-8
c)
-9
d)
-7
27.
Is the product
–8 • (–3) positive or negative?
a)
negative
b)
positive
c)
both
d)
neither
28.
-8(-6)
a)
48
b)
-48
c)
-14
d)
14
29.
When dividing integers....
a)
follow the same rules as multiplying integers
b)
Follow the same rules as adding integers
c)
Follow the same rules as subtracting integers
d)
Always do the opposite
30.

-9(-3)

a)

12

b)

27

c)

-12

d)

-27

31.

8(-5)

a)

-40

b)

-3

c)

-13

d)

3

32.

(-5)(-7)

a)

2

b)

-35

c)

12

d)

35

33.
-9 x 4
a)
32
b)
-36
c)
36
d)
-34
34.

444\frac{44}{-4}  

a)

11

b)

-8

c)

-11

d)

111\frac{-1}{11}  

35.

3010\frac{-30}{10}  

a)

-30

b)

-3

c)

3

d)

30

36.
-5 x -8
a)
-40
b)
-13
c)
-45
d)
40
37.
-18 ÷ (-2)
a)
9
b)
-9
c)
-20
d)
10
38.
-7 x -7
a)
14
b)
-14
c)
49
d)
-49
39.
-81 ÷ -9 =
a)
9
b)
-9
c)
90
d)
-90
40.
-4 x 6 
a)
-24
b)
24
41.

0 × (-2)

a)

0

b)

-2

c)

-0

d)

2

42.

-5 × 1

a)

-5

b)

5

c)

6

d)

-6

43.

-7 × 10 =

a)

70

b)

700

c)

-70

d)

-700

44.

20 ÷ (-1)

a)

-20

b)

-19

c)

19

d)

21

45.

(-24) ÷ (-6)

a)

3

b)

4

c)

-3

d)

-4

46.

6×7

a)

42

b)

52

c)

48

d)

49

47.

-5 × 1

a)

-5

b)

5

c)

6

d)

-6

48.

-7 × 10 =

a)

70

b)

700

c)

-70

d)

-700

49.

0 × (-2)

a)

0

b)

-2

c)

-0

d)

2

50.

(-9) × (-8)

a)

-72

b)

72

51.

(-7) × (-7)

a)

14

b)

-14

c)

49

d)

-49

52.

20 ÷ 5=

a)

-4

b)

4

c)

-100

d)

100

53.

20 ÷ (-1)

a)

-20

b)

-19

c)

19

d)

21

54.

(-16) ÷ 4

a)

-4

b)

3

c)

4

d)

-12

55.

(-24) ÷ (-6)

a)

3

b)

4

c)

-3

d)

-4

56.
What do you get when you multiply a negative by a positive?
a)
Positive
b)
Negative
57.
What do you get when you multiply a negative by a negative?
a)
Positive
b)
Negative 
58.
What do you get when you divide a negative by a negative?
a)
Positive
b)
Negative
59.

-21 + 14

a)

positive

b)

negative

60.
-5(-34)
a)
positive
b)
negative
61.
83 - (-42)
a)
positive
b)
negative
62.
84 / -50
a)
positive
b)
negative
63.
92 + 85
a)
positive
b)
negative
64.
-55 / 104
a)
positive
b)
negative
65.
-88 - (-102)
a)
positive
b)
negative
66.
-55 / -77
a)
positive
b)
negative
67.
-94 + 85
a)
positive
b)
negative
68.
89(42)
a)
positive
b)
negative
69.
0 - 16
a)
16
b)
0
c)
-16
d)
5
70.
-10+4
a)
-14
b)
14
c)
-6
d)
6
71.
-12 + 9
a)
21
b)
3
c)
-3
d)
-21
72.
-7 x 4
a)
24
b)
28
c)
-28
d)
-24
73.
-27 / -27
a)
0
b)
-0
c)
1
d)
-1
74.
7 + (-14)
a)
7
b)
21
c)
-21
d)
-7
75.
-2 + 9
a)
-11
b)
-7
c)
7
d)
11
76.
-7 + -4
a)
-11
b)
-3
c)
3
d)
11
77.

-10-15

a)

-5

b)

25

c)

5

d)

-25

78.

50 - (-60)

a)

110

b)

-110

c)

-10

d)

10

79.
Find the quotient
-3.6 ÷ .06
a)
-0.6
b)
6
c)
-60
d)
600
80.
Divide.
a)
-1/10
b)
-5/8
c)
-2/20
d)
5/8
81.

-6.3 x -0.6

a)
-3.78
b)
5.76
c)
3.78
d)
-5.12
82.

Find the product: (14)(18)\left(-\frac{1}{4}\right)\left(-\frac{1}{8}\right)  

a)

132\frac{1}{32}  

b)

132-\frac{1}{32}  

c)

38-\frac{3}{8}  

d)

16\frac{1}{6}  

e)

none of these

83.
a)
-6/12
b)
-5/12
c)
5/12
d)
-5/7
84.
64 ÷ (-8)
a)
8
b)
-8
c)
-9
d)
-7
85.

(-8) x ___ = -32

a)

3

b)

-3

c)

4

d)

-4

86.

20 ÷ (-1)

a)

-20

b)

-19

c)

19

d)

21

87.

Multiply and simplify if possible. 313   x    153\frac{1}{3}\ \ \ x\ \ \ \ -\frac{1}{5}  

a)

46/15

b)

-46/15

c)

2/3

d)

-2/3

88.
30 ÷ 0.8 = _____
a)
375
b)
3.75
c)
37.5
d)
.375
89.
-⅘ × -⅙
a)
-2/15
b)
30/4
c)
2/15
d)
-30/4
90.
⅚÷ (-½)
a)
-5/3
b)
5/12
c)
-5/12
d)
5/3
91.
Find the quotient
-3.6 ÷ .06
a)
-0.6
b)
6
c)
-60
d)
600
92.
-.3 x (-4) = 
a)
1.2
b)
.12
c)
-1.2
d)
-.12
93.
Divide.
a)
-1/10
b)
-5/8
c)
-2/20
d)
5/8
94.
Multiply.
a)
-7  1/5
b)
-4/45
c)
-8
d)
7
95.
-0.6 ÷ 3/4
a)
0.8
b)
-0.15
c)
0.15
d)
-0.8
96.
Solve 0.729 ÷ 1.5
a)
0.473
b)
0.466
c)
0.486
d)
0.491
97.
-6.3(-0.6)
a)
-3.78
b)
5.76
c)
3.78
d)
-5.12
98.
5/6(-8/15) 
a)
45/90
b)
-4/9
c)
8/18
d)
48/15
99.
 -1/4   x  (-4/3)
a)
1/3
b)
2/3
c)
-3/16
d)
2/6
100.
-8(0.09)(-0.5)
a)
0.048
b)
0.36
c)
-0.045
d)
-0.054
101.
Sandy uses ⅛ of a pound of chocolate chips in each batch of cookies she makes. Yesterday Sandy used ⅘ of a pound to make all her batches. How many batches of cookies did Sandy make?
a)
4/40
b)
1/10
c)
6⅖
d)
5⅓
102.
If a plant grows 1/4 cm every day for 21 days, what is the total amount of growth?
a)
82 cm
b)
25 cm
c)
17 1/4 cm
d)
5 1/4 cm
103.
After a pizza party there are 4 2/3 pizzas left over. If the pizzas are divided so that party goers can take home 1/6 of a pizza, how many guests can take home pizza?
a)
26 guests
b)
28 guests
c)
8 guests
d)
33 guests
104.
A farmer needs to plow a 6-acre field.  She starts by plowing 1/4 of the field.  How many acres does the farmer plow?
a)
1/24 acres
b)
1 1/2 acres
c)
24 acres
d)
3 1/4 acres
105.
On Saturday,12 friends go ice skating.Altogether,they pay $83.40 for admission.They share the cost equally.How much does each person pay?
a)
7.95
b)
6.95
c)
9.93
d)
8.73
106.
 Jackie rode her bike around Capaha Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?
a)
3.41 miles
b)
8.54 miles
c)
34.16 miles
d)
341.6 miles
107.
Bob has a piece of wood that is 3/4 inches long. He decides to cut pieces that are 1/8 inches long. How many pieces can Bob cut?
a)
6
b)
9
c)
3
d)
12
108.
Sarah needs to cut 7 and a half feet of ribbon into 2 and 2/3 feet pieces. How many pieces will she be able to make?
a)
4 and 5/6
b)
2 and 13/16
c)
3
d)
20
109.
Sandy uses ⅛ of a pound of chocolate chips in each batch of cookies she makes. Yesterday Sandy used ⅘ of a pound to make all her batches. How many batches of cookies did Sandy make?
a)
4/40
b)
1/10
c)
6⅖
d)
5⅓
110.
If the temperature drops 5 degrees every hour for 9 hours, which integer represents the change in temperature? 
a)
14
b)
-14
c)
45
d)
-45
111.
The football team lost 8 yards on every play for 5 plays. Which integer shows the total number of yards the team has lost? 
a)
40
b)
-40
c)
3
d)
-3
112.
A mountain climber climbed up a cliff 50 feet at a time. He did this 5 times in one day. What was the overall change in his elevation?
a)
-10 feet
b)
10 feet
c)
-250 feet
d)
250 feet
113.
Flora made 3 withdrawals of $75 each from her bank account.
What was the overall change in her account?
a)
-$225
b)
$225
c)
-$25
d)
$25
114.
Over a 6 week period, the price of a gallon of gas increased by 18 cents.  
If the price changed the same amount each week, what was the average change per week?
a)
-3 cents
b)
3 cents
c)
108 cents
d)
-108 cents
115.

Match the division expression with the equivalent multiplication expression.


32÷14\frac{3}{2}\div\frac{1}{4}  

a)

32×41\frac{3}{2}\times\frac{4}{1}  

b)

23×14\frac{2}{3}\times\frac{1}{4}  

c)

23×41\frac{2}{3}\times\frac{4}{1}  

116.

Match the division expression with the equivalent multiplication expression.


123÷121\frac{2}{3}\div\frac{1}{2}  

a)

53×12\frac{5}{3}\times\frac{1}{2}  

b)

53×21\frac{5}{3}\times\frac{2}{1}  

c)

35×21\frac{3}{5}\times\frac{2}{1}  

d)

35×12\frac{3}{5}\times\frac{1}{2}  

117.

What is the reciprocal of  2 142\ \frac{1}{4}  ?

a)

94\frac{9}{4}

b)

49\frac{4}{9}  

c)

2 412\ \frac{4}{1}  

d)

4 124\ \frac{1}{2}

118.

Match the division expression with the equivalent multiplication expression.


6÷1126\div1\frac{1}{2}  

a)

6×1216\times1\frac{2}{1}  

b)

6×326\times\frac{3}{2}  

c)

6×236\times\frac{2}{3}  

d)

16×32\frac{1}{6}\times\frac{3}{2}  

119.

0.7 × 0.2=0.7\ \times\ 0.2=  

a)

1414  

b)

1.41.4  

c)

0.140.14  

d)

0.0140.014  

120.

400 × 0.2 =400\ \times\ 0.2\ =  

a)

0.80.8  

b)

88  

c)

8080  

d)

800800  

121.

Which division problem is equivalent to to following:

8.54÷0.58.54\div0.5  

a)

854÷0.5854\div0.5  

b)

854÷5854\div5  

c)

854÷50854\div50  

d)

854÷500854\div500  

122.

Which division problem is equivalent to to following:

0.09÷0.010.09\div0.01  

a)

9÷109\div10  

b)

9÷19\div1  

c)

9÷0.19\div0.1  

d)

9÷0.019\div0.01  

123.

What is the fraction eqivalent for the decimal  0.012 ?

a)

1210\frac{12}{10}  

b)

12100\frac{12}{100}  

c)

121000\frac{12}{1000}  

d)

121\frac{12}{1}  

124.

What is the fraction equivalent for the decimal  5.4 ?

a)

5410\frac{54}{10}

b)

541\frac{54}{1}

c)

54100\frac{54}{100}

d)

541000\frac{54}{1000}

125.

Estimate: Which multiplication expression would have a product of about -12?

a)

3.8×3.13.8\times3.1  

b)

4.9×3.2-4.9\times3.2  

c)

2.8×4.12.8\times-4.1  

d)

3.7×2.6-3.7\times-2.6  

126.

Estimate: Which multiplication expression would have a product of about 18?

a)

6.3×2.8-6.3\times2.8  

b)

5.9×3.2-5.9\times-3.2  

c)

6.1×3.8-6.1\times-3.8  

d)

5.9×3.5-5.9\times-3.5  

127.
-⅘ × -⅙
a)
-2/15
b)
30/4
c)
2/15
d)
-30/4
128.
⅚÷ (-½)
a)
-5/3
b)
5/12
c)
-5/12
d)
5/3
129.
Find the quotient
-3.6 ÷ .06
a)
-0.6
b)
6
c)
-60
d)
600
130.
-.3 x (-4) = 
a)
1.2
b)
.12
c)
-1.2
d)
-.12
131.
Divide.
a)
-1/10
b)
-5/8
c)
-2/20
d)
5/8
132.
Multiply.
a)
-7  1/5
b)
-4/45
c)
-8
d)
7
133.
-0.6 ÷ 3/4
a)
0.8
b)
-0.15
c)
0.15
d)
-0.8
134.
Solve 0.729 ÷ 1.5
a)
0.473
b)
0.466
c)
0.486
d)
0.491
135.
-6.3(-0.6)
a)
-3.78
b)
5.76
c)
3.78
d)
-5.12
136.
5/6(-8/15) 
a)
45/90
b)
-4/9
c)
8/18
d)
48/15
137.
 -1/4   x  (-4/3)
a)
1/3
b)
2/3
c)
-3/16
d)
2/6
138.
-8(0.09)(-0.5)
a)
0.048
b)
0.36
c)
-0.045
d)
-0.054
139.
Sandy uses ⅛ of a pound of chocolate chips in each batch of cookies she makes. Yesterday Sandy used ⅘ of a pound to make all her batches. How many batches of cookies did Sandy make?
a)
4/40
b)
1/10
c)
6⅖
d)
5⅓
140.
If a plant grows 1/4 cm every day for 21 days, what is the total amount of growth?
a)
82 cm
b)
25 cm
c)
17 1/4 cm
d)
5 1/4 cm
141.
After a pizza party there are 4 2/3 pizzas left over. If the pizzas are divided so that party goers can take home 1/6 of a pizza, how many guests can take home pizza?
a)
26 guests
b)
28 guests
c)
8 guests
d)
33 guests
142.
A farmer needs to plow a 6-acre field.  She starts by plowing 1/4 of the field.  How many acres does the farmer plow?
a)
1/24 acres
b)
1 1/2 acres
c)
24 acres
d)
3 1/4 acres
143.
On Saturday,12 friends go ice skating.Altogether,they pay $83.40 for admission.They share the cost equally.How much does each person pay?
a)
7.95
b)
6.95
c)
9.93
d)
8.73
144.
 Jackie rode her bike around Capaha Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?
a)
3.41 miles
b)
8.54 miles
c)
34.16 miles
d)
341.6 miles
145.
Bob has a piece of wood that is 3/4 inches long. He decides to cut pieces that are 1/8 inches long. How many pieces can Bob cut?
a)
6
b)
9
c)
3
d)
12
146.
Sarah needs to cut 7 and a half feet of ribbon into 2 and 2/3 feet pieces. How many pieces will she be able to make?
a)
4 and 5/6
b)
2 and 13/16
c)
3
d)
20
147.
a)
2.6785
b)
26.785
c)
-2.6785
d)
-26.785
148.
a)
-1 1/2
b)
1 1/2
c)
3 17/20
d)
-3 17/20
149.
Sarah bought 2.5 meters of fabric to make a patchwork quilt. If the fabric was on sale for $6.20 per meter, how much did Sarah spend?
a)
$15.50
b)
$155
c)
$15.65
d)
$1.55
150.
Divide. 5/3 ÷ 15/7
a)
3  4/7
b)
7/9
c)
7/15
d)
2  2/15