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Integer review #2
Name:________________________________________
Find the absolute value.
1.
2.
3.
4.
5.
|−7|
|0|
|20|
|−6|
|−17|
Write the opposite of each number
6. 14
7. 72
8. -13
9. 52
10. 0
For each pair of numbers below, determine which number is larger. Place the appropriate
< or > symbols in between the pair.
11.
5______6
12.
-2______-1
13.
0_______-1
14.
15.
-11______-1 16.
-11_____-9
17.
-101______-100
-9_______5
18.
-233_____4
19. Place the following numbers on the number line: −1 −4 −11 2 −6 5
−10
0
10
20. The coldest temperature ever recorded on Earth on July 21, 1983, was reported as 129° F
below zero. Express this temperature as an integer.
For 21 through 28, add the integers.
21. −9 + 5
22. 2 + (−5)
23. −9 + 2
24. 2 + (−7)
25. 2 + (−5)
26. −8 + 2
27. −10 + (−3)
28. −4 + (−8)
29. At 6 PM, the temperature in Fairbanks Alaska was 10℉ . By midnight, the temperature had
dropped 24°F. What was the temperature at midnight?
Translation: ________________
Answer:___________________
For problems 30-32 , round each integer to the leading digit and write these in the blanks provided.
Then calculate your estimate and write it in the final blank.
30. −512 + −273 = __________ + ________ = ___________
31.−43 + 271 = _______ + ________ = ________
32. −69 + −18 = ________ + ________ = ________
Fill in the blanks for the following patterns:
33. −34, −27, −20, ______, ______, ______
34. 1, −2, 3, −4, 5, ______, ______, ______
Simplify. Change subtraction to addition of the opposite when it makes calculating easier.
33. −9 − 2
34. 5 − (−3)
35. −3 − 3
36. 3 − (−2)
37. 6 − (−6)
38. −4 − 4
39. −10 − (−3)
40. −2 − (−9)
42. −34 − (−6)
43. 6 − (−25)
44. −62 − 39
41.
−22 − (−49)
45. 4 − 6 − (−13)
46. −3 + (−2) + 6
47.
4 + (−2) + 9
48. −8 + (−2) − (−3)
49. 0 − (−17) + 9
50.
−28 + 6 + (−5)
51. 92 − (−64) − 128
52. −22 − (−20) + 36
53.
−481 + 130 − 40
54.With an elevation of 535 feet above sea level, Driskill Mountain in Louisiana is the
highest point in the state. The lowest point in Louisiana is in New Orleans, which has an
elevation of 8 feet below sea level. What is the range (difference) between these two
elevations?
Sentence: _________________________________________________________________
55. The highest point on earth is Mt. Everest at 29,028 feet above sea level. The lowest point
(not covered with water) is the Dead Sea Depression at 1,385 feet below sea level.
a. What is the difference between the highest and lowest points on Earth?
Sentence: ______________________________________________________________
For problems 56 through 79. Determine the sign of each product first, then multiply.
56. −5 ∙ 2
57. 4 ∙ (−4)
58. −5 ∙ 4
59. 2 ∙ (−4)
60. 7 ∙ (−7)
61. −4 ∙ 4
62. −10 ∙ (−4)
63. −5 ∙ (−7)
64. −21 ∙ (−50)
65. −36 ∙ (−5)
66. 4 ∙ (−23)
67. −6 ∙ 37
68. 89 ∙ (−45)
69.
70. 6 ∙ (−2)
71. −24 ∙ 24
−27 ∙ (−35)
72.
124 ∙ (−35)
73. 14 ∙ (−15)
74. −11 ∙ (−11)
75. −20 ∙ (−20)
76.
492 ∙ (−13)
77. 5 ∙ (−11)
78. −9 ∙ 24
79. −17 ∙ 19
For numbers 80 through 88, evaluate the exponential expression. Remember that −32 is read,
"the opposite of 3 squared," and −32 = −9. Remember too that (−3)2 is read, "negative 3
squared," and (−3)2 = 9. The base is 3 in the first case, while the base is −3 in the second
case.
80.
−52 =________
81.
(−4)2 =________
82.
−33 =________
83.
−(9)2 =________
84.
(−2)2 =________
85.
−62 =________
86.
(−1)4 =________
87.
−72 =________
88.
(−8)2 =________
For problems 89-91,
multiply.
89.
−524
x 31
90.
−634
x −75
91.
−1004
x 708
Determine the sign of each quotient first, then divide. Remember, division by 0 is undefined.
92. 24 ÷ (−6)
93. −32 ÷ (−16)
94. −99 ÷ 11
95. −5 ÷ (−5)
96. −39 ÷ (−13)
97. −144 ÷ 12
98. −1 ÷ 0
99. 63 ÷ 0
100.
0
−22
101.
14
−7
102.
15
−1
103.
104.
21
−7
105.
−60
12
106.
99
−11
107. − 42
−3
109.
−56
−7
110.
63
−3
111.
−19
−1
108.
256
0
1
−1
112.
5
−5
113.
0
−34
114.
72
−9
115.
−45
−9
116.
−169
−13
117.
242
−121
118.
−18
0
119.
0
−412
Simplify using order of operations:
120. 2 − 3 ∙ 4
121.
7 − 5 ∙ (2)
122. −5 − (−2)(4)
132. −4 − (4)(3)
133.
2 − 3 ∙ 4 + 32
134. −5[(−2 + (−4)]
135. 3 − 5 ∙ 7 + 42
136.
−4[(−1) + (−5)]
137. (5 − 8)(3 − 9)
The goal of this chapter is to learn the laws of signs. Before calculating, you should always
know the sign of your answer. Without simplifying, write P for positive, N for negative to show
the results for the following problems.
138. −12 − 4
139. −14/7
140. −2(−4)(−7)
141. 54 + (−56)
142. −15 + (−12)
143. 5 − (−2)
144. 19 − 30
145. (3)(−3) ÷ 3
146. (−12) ÷ (−2)
147. 4(−12)
148. −3(−4)3
149. 9 + (−3)
150. −5 + 4
151. (−3)(−20)
152. 4(−3)
−12
153. −14 − (−15)