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Números Enteros
Efectuar las siguientes sumas :
1. (–5) + (–2) + (–1)
2. (–118) + (+36) + (–2) + (+118) + (–1)
3. (–10) + (–2) + (–7)
4. (–222) + (+113) + (–103) + (–46)
5. (–10) + (–3) + (–18)
6. (–54) + (–18) + (–11) + (–117) + (–425)
7. (–7) + (–6) + (–2) + (–3) + (–10)
8. (–38) + (–51) + (–13) + (–2) + (+1)
9. (–5) + (–13)
10. (–6) + (–3) + (–2)
11. (–7) + (–11)
12. (–7) + (+2) + (+8)
13. (–21) + (+13)
14. (–12) + (–18) + (–1) + (–7)+ (+28)
15. (–9) + (–10) + (–11)
16. (–10) + (–1) + (–6) + (+8) + (–5)
17. (+5) + (+3) + (+2)
18. (+7) + (–2) + (–4) + (+10) + (+3)
Efectuar las siguientes sustracciones :
1. (+8) – (–5)
2. (–12) + (+12)
3. (+15) – (+15)
4. (–142) – (+140)
5. (–19) – (–13)
6. (+12) – (–5)
7. (–7) – (+2)
8. 0 – ( - 3)
9. (–1) – (0)
10. (–5) – (+17)
11. (–9) – (–1)
12. (+12) – (+12)
13. (+3) – (+10)
14. (–615) – (–317)
15. (–15) – (–15)
16. (–52) – (+46)
17. (–100) – (–110)
18. (–101) – (–101)
Efectuar :
1. (–2) (–3) (–4)
2. (–5) (+2) (–6)
3. (–7) (+1) (–2)
4. (–6) (–1) (–1) (+2)
5. (–3) (–4) (–5) (–6)
6. (–2) (+1) (–3) (+4)
7. (–2) (–2) (–2) (–2) (0)
8. (–112) (–3) (–23) (+2)
9. (–3) (–3) (+2) (–2) (–4)(+1)
10. (–1) (+5) + (–3) (–2)
11. (+20) (–2) + (–4) (+3)
12. (–6) (+4) + (+1) (+5)
13. (+2) (–1) – (–10) (+2)
14. (–7) (+2) + (–3) (+1)
15. (+20) (–2) + (–4) (+3)
16. (–1) (+1) (–2) – (+7) (+3) (–1) – (+2) (–5)
17. (–15) (+4) –1
18. (+5) (–2) (–1) – (–1) (–3) – (–2) (+5) (–1)
19. (–6) (–2) (+1) + (–2)
20. [ (–2) (–4) (–2) (+6) ] ÷ (+24) + (–54) ÷ (3) ÷ (–3) (6)
21. { (–45) (–2) + (10) } ÷ (–20) + (+78) ÷ (–13) (–2)
22. (–45) ÷ (–9) – (–75) ÷ (–15) + [ (–5) (–1) (–2) ]
23. (+56) ÷ (–4) + (–48) ÷ (+12) – (–21) ÷ (+7) + (–36) ÷ (+12) (–5)
24. [ –56 ÷ +2 –12 ÷ –336 – (–12 ÷ –1 + –5) ] + –5
25. 5 [ –5 +21 + –13 – –8 ] –12 ÷ –60
26. –5 – {–5 +5 –5 +5 – (–5 +5 –5 –5) –5 }
27. (–2) [ 5 (–4) + 18 ] – (+2) (–2)
28. –100 – (–3) (+1) (–2) (–1) (–4) (–7)
29. 2 [ (6 – (–5) + (–1)) ÷ (4 + 6) ]
30. Efectuar: (+15) + (-11) – (+17) + (+5) – (-21)
31. Efectuar: -15 + {7 – 29 – [-16 – (8 – 3 – 5 + 7)] – 4}
32. –4 + (–3 +6) – (+4 + –8)
33. (–2 – 7) – (–1 – 2) + (–31 + 1)
34. +12 – 6 +7 –5
35. –8 + 5 – 2 + 4 – 3
36. –6 + -4 – –6 + –5 + –4 + +6
37. +6 + –4+ –5 + +8 + –4 + –8
38. +3 – [+6 + (+7 – +2 + –9)]
39. Halle el resultado de : 5 – 12 + 6 – 4 + 9 – 1 + 14
40. Efectuar: 20 – 15 + 8 – 12 + 4 – 8 + 16 – 30
41. Efectuar: – 6 – 4 + 8 + 3 + –5
42. Efectuar: –5 + 8 –12 + 4 + 5 –13 + 7 –11 + 16
43. Efectuar: +13 + –6 + +2 + –8
44. Efectuar: +4 + +3 + –5 + –7 + –10 + +9
45. Efectuar: 4 – 7 – 6 + 8 – 9 +5
46. Efectuar: 3 – 6 – 8 + 4 – 12
47. Efectuar: +4 + –6 – 7 + –5 – –3 + –8 – +5 – –10
48. Efectuar: (20 – 5) + (–6 + 18)
49. Efectuar: 7– (+3 – 4 – 2)
50. Efectuar: +4 +  )23(5 
51. Efectuar: –4 + –8 + –3 – (+5 – –3)
PRÁCTICA DE CLASE
01. Completa el cuadro:
X – 1 + 2 – 3 + 4 – 5 +6
+ 5
– 7
+ 8
– 9
+ 4
02. Completa el cuadro
: + 3 – 5 – 6 + 10
+ 60
– 180
+ 120
– 720
+ 360
03. Efectuar: (– 7) (+ 3) (– 2)
04. Efectuar: (– 1) (– 7) (+ 3) (– 10)
05. Efectuar:
4
32


=
06. Efectuar:
6
144


07. Efectuar:
     
   31
232


08. Efectuar:
     
   32
432


=
09. Efectuar:
   
 



4
82
10. Efectuar: – 7 (– 8 + – 6) =
11. Efectuar: (+ 3 – 6 + 2) x 5 =
12. Efectuar: +6 (– 1 + – 2 – +4 – –5) =
13. Efectuar: (– 3) (– 2) + 8 : (– 2) =
14. Efectuar: +72 : – 9 + – 45 : – 15
15. Efectuar: +72 : – 9 + – 45 : – 15
16. Efectuar: (– 9 – + 15) : (– 10 + + 8)
17. Efectuar: –2 x – 3 6:546x3x2  
TAREA DOMICILIARIA
Resolver:
01. –60 : (– 2 x – 3 x – 5) 07. (– 2) (–3) (– 2) (– 1) (– 4) (–5)
02. 200 :    35:4810x5 
 08. – 12 x [– 6 – 10 x (– 2 – 3)]
03. (+ 12 + 8 – 4) : + 4 09. –5 + 3 x 8 – (4 – 1 x 5)
04. (21 + 70 – 42) : 7 10. (8 – 3) x 4 – 1
05. (105 + 75 – 125) : 5 11. (– 13 + 6) x (– 3) + 4 x (– 1)
06. – 3 (– 2) (5) (7) (– 1) 12.
6
18
9



Potencia y radicación
01. Efectuar:
a)    3
4 b)    2
9
c)    6
2 d)    3
12
e)    5
129
02. Resolver :
a)      3
356  b)      10:502 4

c)    32
23  d)    432
23:9 
e)    5393x258 23 
 f) 1625273

g)
3
6419 
h)
   3535
1593439x324:2:2 
03. Efectuar:
     
   52
125648
M
3
3


 04. Efectuar:    233235
2786432 
05. Efectuar:          332398:127 22335

06. Efectuar:       416:2.64 36

07. Efectuar:         23
33359227 
TAREA DOMICILIARIA
Efectuar:
a)        62437 3

b)    22
253:6x9 
c)     27:312132:4144 43

d)      423.62x3 2234

e)      22
7365210 
f)      2x510x62:8 2245

g)      3322
5x275:7x540 
h)        127827:3 033

i)     532
322732 
j)    471:1932 25


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Números enteros

  • 1. Números Enteros Efectuar las siguientes sumas : 1. (–5) + (–2) + (–1) 2. (–118) + (+36) + (–2) + (+118) + (–1) 3. (–10) + (–2) + (–7) 4. (–222) + (+113) + (–103) + (–46) 5. (–10) + (–3) + (–18) 6. (–54) + (–18) + (–11) + (–117) + (–425) 7. (–7) + (–6) + (–2) + (–3) + (–10) 8. (–38) + (–51) + (–13) + (–2) + (+1) 9. (–5) + (–13) 10. (–6) + (–3) + (–2) 11. (–7) + (–11) 12. (–7) + (+2) + (+8) 13. (–21) + (+13) 14. (–12) + (–18) + (–1) + (–7)+ (+28) 15. (–9) + (–10) + (–11) 16. (–10) + (–1) + (–6) + (+8) + (–5) 17. (+5) + (+3) + (+2) 18. (+7) + (–2) + (–4) + (+10) + (+3) Efectuar las siguientes sustracciones : 1. (+8) – (–5) 2. (–12) + (+12) 3. (+15) – (+15) 4. (–142) – (+140) 5. (–19) – (–13) 6. (+12) – (–5) 7. (–7) – (+2) 8. 0 – ( - 3) 9. (–1) – (0) 10. (–5) – (+17) 11. (–9) – (–1) 12. (+12) – (+12) 13. (+3) – (+10) 14. (–615) – (–317) 15. (–15) – (–15) 16. (–52) – (+46) 17. (–100) – (–110) 18. (–101) – (–101) Efectuar : 1. (–2) (–3) (–4) 2. (–5) (+2) (–6) 3. (–7) (+1) (–2) 4. (–6) (–1) (–1) (+2) 5. (–3) (–4) (–5) (–6) 6. (–2) (+1) (–3) (+4) 7. (–2) (–2) (–2) (–2) (0) 8. (–112) (–3) (–23) (+2) 9. (–3) (–3) (+2) (–2) (–4)(+1) 10. (–1) (+5) + (–3) (–2) 11. (+20) (–2) + (–4) (+3) 12. (–6) (+4) + (+1) (+5) 13. (+2) (–1) – (–10) (+2) 14. (–7) (+2) + (–3) (+1)
  • 2. 15. (+20) (–2) + (–4) (+3) 16. (–1) (+1) (–2) – (+7) (+3) (–1) – (+2) (–5) 17. (–15) (+4) –1 18. (+5) (–2) (–1) – (–1) (–3) – (–2) (+5) (–1) 19. (–6) (–2) (+1) + (–2) 20. [ (–2) (–4) (–2) (+6) ] ÷ (+24) + (–54) ÷ (3) ÷ (–3) (6) 21. { (–45) (–2) + (10) } ÷ (–20) + (+78) ÷ (–13) (–2) 22. (–45) ÷ (–9) – (–75) ÷ (–15) + [ (–5) (–1) (–2) ] 23. (+56) ÷ (–4) + (–48) ÷ (+12) – (–21) ÷ (+7) + (–36) ÷ (+12) (–5) 24. [ –56 ÷ +2 –12 ÷ –336 – (–12 ÷ –1 + –5) ] + –5 25. 5 [ –5 +21 + –13 – –8 ] –12 ÷ –60 26. –5 – {–5 +5 –5 +5 – (–5 +5 –5 –5) –5 } 27. (–2) [ 5 (–4) + 18 ] – (+2) (–2) 28. –100 – (–3) (+1) (–2) (–1) (–4) (–7) 29. 2 [ (6 – (–5) + (–1)) ÷ (4 + 6) ] 30. Efectuar: (+15) + (-11) – (+17) + (+5) – (-21) 31. Efectuar: -15 + {7 – 29 – [-16 – (8 – 3 – 5 + 7)] – 4} 32. –4 + (–3 +6) – (+4 + –8) 33. (–2 – 7) – (–1 – 2) + (–31 + 1) 34. +12 – 6 +7 –5 35. –8 + 5 – 2 + 4 – 3 36. –6 + -4 – –6 + –5 + –4 + +6 37. +6 + –4+ –5 + +8 + –4 + –8 38. +3 – [+6 + (+7 – +2 + –9)] 39. Halle el resultado de : 5 – 12 + 6 – 4 + 9 – 1 + 14 40. Efectuar: 20 – 15 + 8 – 12 + 4 – 8 + 16 – 30 41. Efectuar: – 6 – 4 + 8 + 3 + –5 42. Efectuar: –5 + 8 –12 + 4 + 5 –13 + 7 –11 + 16 43. Efectuar: +13 + –6 + +2 + –8 44. Efectuar: +4 + +3 + –5 + –7 + –10 + +9 45. Efectuar: 4 – 7 – 6 + 8 – 9 +5 46. Efectuar: 3 – 6 – 8 + 4 – 12 47. Efectuar: +4 + –6 – 7 + –5 – –3 + –8 – +5 – –10 48. Efectuar: (20 – 5) + (–6 + 18) 49. Efectuar: 7– (+3 – 4 – 2) 50. Efectuar: +4 +  )23(5  51. Efectuar: –4 + –8 + –3 – (+5 – –3)
  • 3. PRÁCTICA DE CLASE 01. Completa el cuadro: X – 1 + 2 – 3 + 4 – 5 +6 + 5 – 7 + 8 – 9 + 4 02. Completa el cuadro : + 3 – 5 – 6 + 10 + 60 – 180 + 120 – 720 + 360 03. Efectuar: (– 7) (+ 3) (– 2) 04. Efectuar: (– 1) (– 7) (+ 3) (– 10) 05. Efectuar: 4 32   = 06. Efectuar: 6 144   07. Efectuar:          31 232   08. Efectuar:          32 432   = 09. Efectuar:          4 82
  • 4. 10. Efectuar: – 7 (– 8 + – 6) = 11. Efectuar: (+ 3 – 6 + 2) x 5 = 12. Efectuar: +6 (– 1 + – 2 – +4 – –5) = 13. Efectuar: (– 3) (– 2) + 8 : (– 2) = 14. Efectuar: +72 : – 9 + – 45 : – 15 15. Efectuar: +72 : – 9 + – 45 : – 15 16. Efectuar: (– 9 – + 15) : (– 10 + + 8) 17. Efectuar: –2 x – 3 6:546x3x2   TAREA DOMICILIARIA Resolver: 01. –60 : (– 2 x – 3 x – 5) 07. (– 2) (–3) (– 2) (– 1) (– 4) (–5) 02. 200 :    35:4810x5   08. – 12 x [– 6 – 10 x (– 2 – 3)] 03. (+ 12 + 8 – 4) : + 4 09. –5 + 3 x 8 – (4 – 1 x 5) 04. (21 + 70 – 42) : 7 10. (8 – 3) x 4 – 1 05. (105 + 75 – 125) : 5 11. (– 13 + 6) x (– 3) + 4 x (– 1) 06. – 3 (– 2) (5) (7) (– 1) 12. 6 18 9    Potencia y radicación 01. Efectuar: a)    3 4 b)    2 9 c)    6 2 d)    3 12 e)    5 129
  • 5. 02. Resolver : a)      3 356  b)      10:502 4  c)    32 23  d)    432 23:9  e)    5393x258 23   f) 1625273  g) 3 6419  h)    3535 1593439x324:2:2  03. Efectuar:          52 125648 M 3 3    04. Efectuar:    233235 2786432  05. Efectuar:          332398:127 22335  06. Efectuar:       416:2.64 36  07. Efectuar:         23 33359227  TAREA DOMICILIARIA Efectuar: a)        62437 3  b)    22 253:6x9  c)     27:312132:4144 43  d)      423.62x3 2234  e)      22 7365210  f)      2x510x62:8 2245  g)      3322 5x275:7x540  h)        127827:3 033  i)     532 322732  j)    471:1932 25 