The document shows a series of arithmetic operations with integers. Each line shows the step-by-step working out of the operations, moving from the original expressions on the left to the final solutions on the right. A variety of operations are used, including addition, subtraction, multiplication, division and use of brackets.

1. Operaciones con Enteros
Fernando Salamero

2. 18-6·4+24:8=

3. 18-6·4+24:8=
18-24+3=

4. 18-6·4+24:8=
18-24+3=

5. 18-6·4+24:8=
18-24+3=

6. 18-6·4+24:8=
18-24+3=
-6+3=

7. 18-6·4+24:8=
18-24+3=
-6+3=

8. 18-6·4+24:8=
18-24+3=
-6+3=
-3

9. 18-6·4+24:8=
18-24+3=
-6+3=
-3

10. (8-3-6+2)·(5-4-3)=

11. (8-3-6+2)·(5-4-3)=
(5-6+2)·(1-3)=

12. (8-3-6+2)·(5-4-3)=
(5-6+2)·(1-3)=

13. (8-3-6+2)·(5-4-3)=
(5-6+2)·(1-3)=

14. (8-3-6+2)·(5-4-3)=
(5-6+2)·(1-3)=
(-1+2)·(-2)=

15. (8-3-6+2)·(5-4-3)=
(5-6+2)·(1-3)=
(-1+2)·(-2)=

16. (8-3-6+2)·(5-4-3)=
(5-6+2)·(1-3)=
(-1+2)·(-2)=

17. (8-3-6+2)·(5-4-3)=
(5-6+2)·(1-3)=
(-1+2)·(-2)=
(1)·(-2)=

18. (8-3-6+2)·(5-4-3)=
(5-6+2)·(1-3)=
(-1+2)·(-2)=
(1)·(-2)=

19. (8-3-6+2)·(5-4-3)=
(5-6+2)·(1-3)=
(-1+2)·(-2)=
(1)·(-2)=
-2

20. (8-3-6+2)·(5-4-3)=
(5-6+2)·(1-3)=
(-1+2)·(-2)=
(1)·(-2)=
-2

21. 26-5·[10+4·(5-6)]=

22. 26-5·[10+4·(5-6)]=
26-5·[10+4·(-1)]=

23. 26-5·[10+4·(5-6)]=
26-5·[10+4·(-1)]=

24. 26-5·[10+4·(5-6)]=
26-5·[10+4·(-1)]=
26-5·[10+(-4)]=

25. 26-5·[10+4·(5-6)]=
26-5·[10+4·(-1)]=
26-5·[10+(-4)]=

26. 26-5·[10+4·(5-6)]=
26-5·[10+4·(-1)]=
26-5·[10+(-4)]=
26-5·[10-4]=

27. 26-5·[10+4·(5-6)]=
26-5·[10+4·(-1)]=
26-5·[10+(-4)]=
26-5·[10-4]=

28. 26-5·[10+4·(5-6)]=
26-5·[10+4·(-1)]=
26-5·[10+(-4)]=
26-5·[10-4]=
26-5·[6]=

29. 26-5·[10+4·(5-6)]=
26-5·[10+4·(-1)]=
26-5·[10+(-4)]=
26-5·[10-4]=
26-5·[6]=

30. 26-5·[10+4·(5-6)]=
26-5·[10+4·(-1)]=
26-5·[10+(-4)]=
26-5·[10-4]=
26-5·[6]=
26-30=

31. 26-5·[10+4·(5-6)]=
26-5·[10+4·(-1)]=
26-5·[10+(-4)]=
26-5·[10-4]=
26-5·[6]=
26-30=

32. 26-5·[10+4·(5-6)]=
26-5·[10+4·(-1)]=
26-5·[10+(-4)]=
26-5·[10-4]=
26-5·[6]=
26-30=
-4

33. 26-5·[10+4·(5-6)]=
26-5·[10+4·(-1)]=
26-5·[10+(-4)]=
26-5·[10-4]=
26-5·[6]=
26-30=
-4

34. 2·(5-7)-2·[8-4·(5-3)]=

35. 2·(5-7)-2·[8-4·(5-3)]=
2·(-2)-2·[8-4·2]=

36. 2·(5-7)-2·[8-4·(5-3)]=
2·(-2)-2·[8-4·2]=

37. 2·(5-7)-2·[8-4·(5-3)]=
2·(-2)-2·[8-4·2]=

38. 2·(5-7)-2·[8-4·(5-3)]=
2·(-2)-2·[8-4·2]=
-4-2·[8-8]=

39. 2·(5-7)-2·[8-4·(5-3)]=
2·(-2)-2·[8-4·2]=
-4-2·[8-8]=

40. 2·(5-7)-2·[8-4·(5-3)]=
2·(-2)-2·[8-4·2]=
-4-2·[8-8]=

41. 2·(5-7)-2·[8-4·(5-3)]=
2·(-2)-2·[8-4·2]=
-4-2·[8-8]=
-4-2·0=

42. 2·(5-7)-2·[8-4·(5-3)]=
2·(-2)-2·[8-4·2]=
-4-2·[8-8]=
-4-2·0=

43. 2·(5-7)-2·[8-4·(5-3)]=
2·(-2)-2·[8-4·2]=
-4-2·[8-8]=
-4-2·0=
-4-0=

44. 2·(5-7)-2·[8-4·(5-3)]=
2·(-2)-2·[8-4·2]=
-4-2·[8-8]=
-4-2·0=
-4-0=

45. 2·(5-7)-2·[8-4·(5-3)]=
2·(-2)-2·[8-4·2]=
-4-2·[8-8]=
-4-2·0=
-4-0=
-4

46. 2·(5-7)-2·[8-4·(5-3)]=
2·(-2)-2·[8-4·2]=
-4-2·[8-8]=
-4-2·0=
-4-0=
-4

47. 2·[22+5·(4-2·5)]+18=

48. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=

49. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=

50. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=
2·[22+5·(-6)]+18=

51. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=
2·[22+5·(-6)]+18=

52. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=
2·[22+5·(-6)]+18=
2·[22+(-30)]+18=

53. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=
2·[22+5·(-6)]+18=
2·[22+(-30)]+18=

54. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=
2·[22+5·(-6)]+18=
2·[22+(-30)]+18=
2·[22-30]+18=

55. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=
2·[22+5·(-6)]+18=
2·[22+(-30)]+18=
2·[22-30]+18=

56. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=
2·[22+5·(-6)]+18=
2·[22+(-30)]+18=
2·[22-30]+18=
2·[-8]+18=

57. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=
2·[22+5·(-6)]+18=
2·[22+(-30)]+18=
2·[22-30]+18=
2·[-8]+18=

58. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=
2·[22+5·(-6)]+18=
2·[22+(-30)]+18=
2·[22-30]+18=
2·[-8]+18=
-16+18=

59. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=
2·[22+5·(-6)]+18=
2·[22+(-30)]+18=
2·[22-30]+18=
2·[-8]+18=
-16+18=

60. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=
2·[22+5·(-6)]+18=
2·[22+(-30)]+18=
2·[22-30]+18=
2·[-8]+18=
-16+18=
2

61. 2·[22+5·(4-2·5)]+18=
2·[22+5·(4-10)]+18=
2·[22+5·(-6)]+18=
2·[22+(-30)]+18=
2·[22-30]+18=
2·[-8]+18=
-16+18=
2

62. [6+2·(3-5)]-[4-3·(8-6)]=

63. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=

64. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=

65. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=

66. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=
[6+(-4)]-[4-6]=

67. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=
[6+(-4)]-[4-6]=

68. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=
[6+(-4)]-[4-6]=

69. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=
[6+(-4)]-[4-6]=
[6-4]-[-2]=

70. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=
[6+(-4)]-[4-6]=
[6-4]-[-2]=

71. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=
[6+(-4)]-[4-6]=
[6-4]-[-2]=

72. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=
[6+(-4)]-[4-6]=
[6-4]-[-2]=
2+2=

73. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=
[6+(-4)]-[4-6]=
[6-4]-[-2]=
2+2=

74. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=
[6+(-4)]-[4-6]=
[6-4]-[-2]=
2+2=

75. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=
[6+(-4)]-[4-6]=
[6-4]-[-2]=
2+2=
4

76. [6+2·(3-5)]-[4-3·(8-6)]=
[6+2·(-2)]-[4-3·2]=
[6+(-4)]-[4-6]=
[6-4]-[-2]=
2+2=
4

77. 18+3·[25-6·(8-3)]=

78. 18+3·[25-6·(8-3)]=
18+3·[25-6·5]=

79. 18+3·[25-6·(8-3)]=
18+3·[25-6·5]=

80. 18+3·[25-6·(8-3)]=
18+3·[25-6·5]=
18+3·[25-30]=

81. 18+3·[25-6·(8-3)]=
18+3·[25-6·5]=
18+3·[25-30]=

82. 18+3·[25-6·(8-3)]=
18+3·[25-6·5]=
18+3·[25-30]=
18+3·[-5]=

83. 18+3·[25-6·(8-3)]=
18+3·[25-6·5]=
18+3·[25-30]=
18+3·[-5]=

84. 18+3·[25-6·(8-3)]=
18+3·[25-6·5]=
18+3·[25-30]=
18+3·[-5]=
18+(-15)=

85. 18+3·[25-6·(8-3)]=
18+3·[25-6·5]=
18+3·[25-30]=
18+3·[-5]=
18+(-15)=

86. 18+3·[25-6·(8-3)]=
18+3·[25-6·5]=
18+3·[25-30]=
18+3·[-5]=
18+(-15)=
18-15=

87. 18+3·[25-6·(8-3)]=
18+3·[25-6·5]=
18+3·[25-30]=
18+3·[-5]=
18+(-15)=
18-15=

88. 18+3·[25-6·(8-3)]=
18+3·[25-6·5]=
18+3·[25-30]=
18+3·[-5]=
18+(-15)=
18-15=
3

89. 18+3·[25-6·(8-3)]=
18+3·[25-6·5]=
18+3·[25-30]=
18+3·[-5]=
18+(-15)=
18-15=
3

90. 9·(8-3)-6·[2-(6-8)·4]=

91. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=

92. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=

93. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=

94. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=
45-6·[2-(-8)]=

95. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=
45-6·[2-(-8)]=

96. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=
45-6·[2-(-8)]=

97. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=
45-6·[2-(-8)]=
45-6·[2+8]=

98. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=
45-6·[2-(-8)]=
45-6·[2+8]=

99. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=
45-6·[2-(-8)]=
45-6·[2+8]=
45-6·10=

100. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=
45-6·[2-(-8)]=
45-6·[2+8]=
45-6·10=

101. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=
45-6·[2-(-8)]=
45-6·[2+8]=
45-6·10=
45-60=

102. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=
45-6·[2-(-8)]=
45-6·[2+8]=
45-6·10=
45-60=

103. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=
45-6·[2-(-8)]=
45-6·[2+8]=
45-6·10=
45-60=
-15

104. 9·(8-3)-6·[2-(6-8)·4]=
9·5-6·[2-(-2)·4]=
45-6·[2-(-8)]=
45-6·[2+8]=
45-6·10=
45-60=
-15

105. 6·[12-4·(13-6·2)]-35=

106. 6·[12-4·(13-6·2)]-35=
6·[12-4·(13-12)]-35=

107. 6·[12-4·(13-6·2)]-35=
6·[12-4·(13-12)]-35=

108. 6·[12-4·(13-6·2)]-35=
6·[12-4·(13-12)]-35=
6·[12-4·1]-35=

109. 6·[12-4·(13-6·2)]-35=
6·[12-4·(13-12)]-35=
6·[12-4·1]-35=

110. 6·[12-4·(13-6·2)]-35=
6·[12-4·(13-12)]-35=
6·[12-4·1]-35=
6·[12-4]-35=

111. 6·[12-4·(13-6·2)]-35=
6·[12-4·(13-12)]-35=
6·[12-4·1]-35=
6·[12-4]-35=

112. 6·[12-4·(13-6·2)]-35=
6·[12-4·(13-12)]-35=
6·[12-4·1]-35=
6·[12-4]-35=
6·8-35=

113. 6·[12-4·(13-6·2)]-35=
6·[12-4·(13-12)]-35=
6·[12-4·1]-35=
6·[12-4]-35=
6·8-35=

114. 6·[12-4·(13-6·2)]-35=
6·[12-4·(13-12)]-35=
6·[12-4·1]-35=
6·[12-4]-35=
6·8-35=
48-35=

115. 6·[12-4·(13-6·2)]-35=
6·[12-4·(13-12)]-35=
6·[12-4·1]-35=
6·[12-4]-35=
6·8-35=
48-35=

116. 6·[12-4·(13-6·2)]-35=
6·[12-4·(13-12)]-35=
6·[12-4·1]-35=
6·[12-4]-35=
6·8-35=
48-35=
13

117. 6·[12-4·(13-6·2)]-35=
6·[12-4·(13-12)]-35=
6·[12-4·1]-35=
6·[12-4]-35=
6·8-35=
48-35=
13

118. [3+5·(8-9)]-[7-4·(5-3)]=

119. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=

120. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=

121. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=

122. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=
[3+(-5)]-[7-8]=

123. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=
[3+(-5)]-[7-8]=

124. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=
[3+(-5)]-[7-8]=

125. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=
[3+(-5)]-[7-8]=
[3-5]-[-1]=

126. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=
[3+(-5)]-[7-8]=
[3-5]-[-1]=

127. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=
[3+(-5)]-[7-8]=
[3-5]-[-1]=

128. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=
[3+(-5)]-[7-8]=
[3-5]-[-1]=
-2+1=

129. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=
[3+(-5)]-[7-8]=
[3-5]-[-1]=
-2+1=

130. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=
[3+(-5)]-[7-8]=
[3-5]-[-1]=
-2+1=

131. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=
[3+(-5)]-[7-8]=
[3-5]-[-1]=
-2+1=
-1

132. [3+5·(8-9)]-[7-4·(5-3)]=
[3+5·(-1)]-[7-4·2]=
[3+(-5)]-[7-8]=
[3-5]-[-1]=
-2+1=
-1