This lesson includes addition, subtraction, multiplication, and division of integers

1. Integers

2. INTEGERS
Integers are all the positive
whole numbers, zero, and
their opposites (negatives).
EXAMPLES:
• 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, …
• 0
• -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, …

3. Adding
Integers

4. ADDING INTEGERS
1st Condition
Same sign
+ + +
- + -
Add, then copy the sign
=
=
+
-

5. ADDING INTEGERS
Example 1:
5 + 3 = 8

6. ADDING INTEGERS
Example 2:
6 + 2 = 8

7. ADDING INTEGERS
Example 3:
-5 + -3 = -8

8. ADDING INTEGERS
Example 4:
-7 + -5 = -12

9. ADDING INTEGERS
Example 5:
-6 + -4 = -10

10. You Try!
1. 5 + 2 = 7 ✔
2. -4 + -2 = -6 ✔
3. 1 + 3 = 4 ✔
4. -6 + -3 = -9 ✔

11. VERY
GOO
D

12. ADDING INTEGERS
2nd Condition
Different sign
- + +
+ + -
Subtract, then copy the higher sign
=
=
Higher
sign
Higher
sign

13. ADDING INTEGERS
Example 1:
-7 + 2 = -5

14. ADDING INTEGERS
Example 2:
-4 + 6 = 2

15. ADDING INTEGERS
Example 3:
4 + -3 = 1

16. ADDING INTEGERS
Example 4:
7 + -10
= -3

17. ADDING INTEGERS
Example 5:
-4 + 10
= 6

18. ADDING INTEGERS
Example 6:
5 + -7 = -2

19. You Try!
1. -5 + 2 = -3 ✔
2. 4 + -2 = 2 ✔
3. -1 + 3 = 2 ✔
4. 3 + -6 = -3 ✔

20. EXCELLENT
!

21. Quiz:
1. 6 + 3 = 9 ✔
2. -5 + -3 = -8 ✔
3. -2 + 4 = 2 ✔
4. 4 + -7 = -3 ✔

22. Quiz:
5. -5 + 3 = -2 ✔
6. -6 + 3 = -3 ✔
7. -7 + 7 = 0 ✔
8. -6 + 8 = 2 ✔

23. Quiz:
9. -4 + -1 = -5 ✔
10. -1 + -6 = -7 ✔
11. -5 + 7 = 2 ✔
12. 1 + -1 = 0 ✔

25. Subtracting
Integers

26. revieW
1. 6 + 3 = 9 ✔
2. -5 + -3 = -8 ✔
3. -2 + 4 = 2 ✔
4. 4 + -7 = -3 ✔

28. Subtracting INTEGERS
1stCondition
Same positive
+ - +
+ + -
Subtract, then copy the higher sign
=
=
Higher
sign
Higher
sign

29. Subtracting INTEGERS
Example 1:
8 - 3 =
8 + -3 = 5

30. Subtracting INTEGERS
Example 2:
4 - 9 =
4 + -9 = -5

31. Subtracting INTEGERS
Example 3:
2 - 3 =
2 + -3 = -1

32. You Try!
1. 5 - 2 = 3 ✔
2. 4 - 2 = 2 ✔
3. 1 - 3 = -2 ✔
4. 3 - 6 = -3 ✔

34. Subtracting INTEGERS
2ndCondition
A negative and a positive
- - +
- + -
Add, then keep a negative sign
=
=
-
-

35. Subtracting INTEGERS
Example 1:
-4 - 6 =
-4 + -6 = -10

36. Subtracting INTEGERS
Example 2:
-5 - 2 =
-5 + -2 = -7

37. Subtracting INTEGERS
Example 3:
-7 - 4 =
-7 + -4 = -11

38. You Try!
1. -5 - 2 = -7 ✔
2. -4 - 2 = -6 ✔
3. -1 - 3 = -4 ✔
4. -3 - 6 = -9 ✔

40. Subtracting INTEGERS
3rdCondition
A positive and a negative
+ - -
+ + +
Add, then keep a positive sign
=
=
+
+

41. Subtracting INTEGERS
Example 1:
9 - -4 =
9 + 4 = 13

42. Subtracting INTEGERS
Example 2:
3 - -5 =
3 + 5 = 8

43. Subtracting INTEGERS
Example 3:
7 - -2 =
7 + 2 = 9

44. You Try!
1. 5 - -2 = 7 ✔
2. 4 - -2 = 6 ✔
3. 1 - -3 = 4 ✔
4. 3 - -6 = 9 ✔

46. Subtracting INTEGERS
4thCondition
Same negative
- - -
- + +
Subtract, then copy the higher sign
=
=
Higher
sign
Higher
sign

47. Subtracting INTEGERS
Example 1:
-6 - -2 =
-6 + 2 = -4

48. Subtracting INTEGERS
Example 2:
-6 - -2 =
-6 + 2 = -4

49. Subtracting INTEGERS
Example 3:
-1 - -7 =
-1 + 7 = 6

50. You Try!
1. -5 - -2 = -3 ✔
2. -4 - -2 = -2 ✔
3. -1 - -3 = 2 ✔
4. -3 - -6 = 3 ✔

52. quiz:
1. 5 - 2 = 3 ✔
2. 2 - 4 = -2 ✔
3. -1 - 3 = -4 ✔
4. -3 - 6 = -9 ✔

53. Quiz:
5. 5 - -2 = 7 ✔
6. 4 - -2 = 6 ✔
7. -1 - -3 = 2 ✔
8. -3 - -6 = 3 ✔

54. Quiz:
9. 1 - 3 = -2 ✔
10. -6 - -8 = 2 ✔
11. -3 - 3 = -6 ✔
12. 3 - -5 = 8 ✔

55. Quiz:
13. -7 - -5 = -2 ✔
14. 3 - -1 = 4 ✔
15. 6 - 3 = 3 ✔
16. 2 - 3 = -1 ✔

56. Quiz:
17. -8 - -5 = -3 ✔
18. 5 - -6 = 11 ✔
19. 4 - 7 = -3 ✔
20. 4 - -1 = 5 ✔

58. Multiplying
Integers

59. Review:
1. 6 + 3 = 9 ✔
2. -5 + -3 = -8 ✔
3. -2 + 4 = 2 ✔
4. 7 + -4 = 3 ✔

60. Review:
5. 5 - 2 = 3 ✔
6. 2 - 4 = -2 ✔
7. -1 - 3 = -4 ✔
8. -3 - 6 = -9 ✔

61. Review:
9. 5 - -2 = 7 ✔
10. 4 - -2 = 6 ✔
11. -1 - -3 = 2 ✔
12. -3 - -6 = 3 ✔

63. Multiplying INTEGERS
1stCondition
Same sign
+ x +
- x -
Multiply, then keep a positive sign
=
=
+
+

64. Multiplying INTEGERS
Example 1:
4 x 10
= 40

65. Multiplying INTEGERS
Example 2:
2 x 8 = 16

66. Multiplying INTEGERS
Example 3:
-4 x -9 = 36

67. Multiplying INTEGERS
Example 4:
-6 x -2 = 12

68. Multiplying INTEGERS
Example 5:
-7 x -3 = 21

69. You try:
1. 5 x 2 = 10 ✔
2. 3 x 4 = 12 ✔
3. -1 x -3 = 3 ✔
4. -3 x -6 = 18 ✔

70. You try:
5. 6 x 3 = 18 ✔
6. 5 x 4 = 20 ✔
7. -7 x -3 = 21 ✔
8. -4 x -6 = 24 ✔

71. You try:
9. 6 x 0 = 0 ✔
10. 5 x 2 = 10 ✔
11. -7 x -4 = 28 ✔
12. -6 x -6 = 36 ✔

73. Multiplying INTEGERS
2ndCondition
Different sign
+ x -
- x +
Multiply, then keep a negative sign
=
=
-
-

74. Multiplying INTEGERS
Example 1:
-6 x 4 = -24

75. Multiplying INTEGERS
Example 2:
-7 x 3 = -21

76. Multiplying INTEGERS
Example 3:
5 x -3 = -15

77. Multiplying INTEGERS
Example 4:
2 x -4 = -8

78. Multiplying INTEGERS
Example 5:
9 x -3 = -27

79. You try:
1. 5 x -2 = -10
✔
2. 2 x -4 = -8 ✔
3. -1 x 3 = -3 ✔
4. -3 x 6 = -18
✔

80. You try:
5. 5 x -3 = -15
✔
6. 4 x -4 = -16
✔
7. -2 x 3 = -6 ✔
8. -3 x 7 = -21
✔

81. You try:
9. 6 x -3 = -18
✔
10. 5 x -4 = -20
✔
11. -2 x 4 = -8 ✔
12. -3 x 8 = -24
✔

83. quiz:
1. 6 x 2 = 12
✔
2. -3 x -4 = 12 ✔
3. -2 x 3 = -6 ✔
4. 4 x -6 = -24
✔

84. quiz:
5. 4 x -1 = -4 ✔
6. 10
x -8 = -80
✔
7. -4 x -2 = 8 ✔
8. -5 x 2 = -10
✔

85. quiz:
9. -5 x 7 = -35
✔
10. -7 x -2 = 14
✔
11. -6 x -1 = 6 ✔
12. -2 x -2 = 4 ✔

87. Dividing
Integers

88. Review:
1. 6 + 3 = 9 ✔
2. -5 + -3 = -8 ✔
3. -2 + 4 = 2 ✔
4. 7 + -4 = 3 ✔

89. Review:
5. 5 - 2 = 3 ✔
6. 2 - 4 = -2 ✔
7. -1 - 3 = -4 ✔
8. -3 - 6 = -9 ✔

90. Review:
9. 5 - -2 = 7 ✔
10. 4 - -2 = 6 ✔
11. -1 - -3 = 2 ✔
12. -3 - -6 = 3 ✔

91. Review:
13. 6 x 2 = 12
✔
14. -3 x -4 = 12 ✔
15. -2 x 3 = -6 ✔
16. 4 x -6 = -24
✔

93. dividing INTEGERS
1stCondition
Same sign
+ ÷ +
- ÷ -
Divide, then keep a positive sign
=
=
+
+

94. dividing INTEGERS
Example 1:
30
÷ 5 = 6

95. dividing INTEGERS
Example 2:
20
÷ 4 = 5

96. dividing INTEGERS
Example 3:
-36
÷ -9 = 4

97. dividing INTEGERS
Example 4:
-8 ÷ -2 = 4

98. dividing INTEGERS
Example 5:
-6 ÷ -2 = 3

99. You try:
1. 20
÷ 2 = 10
✔
2. 8 ÷ 4 = 2 ✔
3. -9 ÷ -3 = 3 ✔
4. -18
÷ -3 = 6 ✔

100. You try:
5. 30
÷ 2 = 15
✔
6. 12 ÷ 4 = 3 ✔
7. -15
÷ -3 = 5 ✔
8. -18
÷ -6 = 3 ✔

101. You try:
9. 30
÷ 5 = 6 ✔
10. 16 ÷ 4 = 4 ✔
11. -25
÷ -5 = 5 ✔
12. -24
÷ -6 = 4 ✔

103. dividing INTEGERS
2ndCondition
Different sign
+ ÷ -
- ÷ +
Divide, then keep a negative sign
=
=
-
-

104. dividing INTEGERS
Example 1:
-24
÷ 4 = -6

105. dividing INTEGERS
Example 2:
-12
÷ 3 = -4

106. dividing INTEGERS
Example 3:
15
÷ -3 = -5

107. dividing INTEGERS
Example 4:
20
÷ -5 = -4

108. dividing INTEGERS
Example 5:
27
÷ -3 = -9

109. You try:
1. 20
÷ -2 = -10
✔
2. 8 ÷ -4 = -2 ✔
3. -9 ÷ 3 = -3 ✔
4. -18
÷ 3 = -6 ✔

110. You try:
5. 22
÷ -2 = -11
✔
6. 12 ÷ -4 = -3 ✔
7. -15
÷ 3 = -5 ✔
8. -18
÷ 6 = -3 ✔

111. You try:
9. 40
÷ -2 = -20
✔
10. 16 ÷ -4 = -4 ✔
11. -21
÷ 3 = -7 ✔
12. -24
÷ 6 = -4 ✔

113. quiz:
1. 20
÷ 2 = 10
✔
2. -8 ÷ -4 = 2 ✔
3. -9 ÷ 3 = -3 ✔
4. 18
÷ -3 = -6 ✔

114. quiz:
5. 30
÷ 10
= 3 ✔
6. -12
÷ -3 = 4 ✔
7. 30 ÷ -6 = -5 ✔
8. 27
÷ 3 = 9 ✔

115. quiz:
9. 80
÷ -8 = -10
✔
10. -2 ÷ -1 = 2 ✔
11. -35
÷ -5 = 7 ✔
12. -8 ÷ 2 = -4 ✔