Números EnterosEfectuar 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) –118. (+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 –535. –8 + 5 – 2 + 4 – 336. –6 + -4 – –6 + –5 + –4 + +637. +6 + –4+ –5 + +8 + –4 + –838. +3 – [+6 + (+7 – +2 + –9)]39. Halle el resultado de : 5 – 12 + 6 – 4 + 9 – 1 + 1440. Efectuar: 20 – 15 + 8 – 12 + 4 – 8 + 16 – 3041. Efectuar: – 6 – 4 + 8 + 3 + –542. Efectuar: –5 + 8 –12 + 4 + 5 –13 + 7 –11 + 1643. Efectuar: +13 + –6 + +2 + –844. Efectuar: +4 + +3 + –5 + –7 + –10 + +945. Efectuar: 4 – 7 – 6 + 8 – 9 +546. Efectuar: 3 – 6 – 8 + 4 – 1247. Efectuar: +4 + –6 – 7 + –5 – –3 + –8 – +5 – –1048. Efectuar: (20 – 5) + (–6 + 18)49. Efectuar: 7– (+3 – 4 – 2)

50. Efectuar: +4 + [+5 −(+3 +−2) ]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: − 32+ 4 =

06. Efectuar: + 144− 6

07. Efectuar:

(− 2 ) (− 3 ) (+2 )(+ 1 ) (− 3 )

08. Efectuar:

(− 2 ) (− 3 ) (+ 4 )(+ 2 ) (− 3 ) =

09. Efectuar:

(− 2 ) (+ 8 )(+ 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 – 3−2 x − 3 x +6 −− 54 : −6

TAREA DOMICILIARIA

Resolver:

01. –60 : (– 2 x – 3 x – 5) 07. (– 2) (–3) (– 2) (– 1) (– 4) (–5)

02. 200 : (¿−5 x +10 ) − 48 : (¿+ 5 + +3 ) 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.

− 9− 18− 6

Potencia y radicación

01. Efectuar:

a) ( + 4 )3 = b) ( − 9 )2 =

c) (− 2 )6 = d) (+ 12 )3 =

e) (9 − 12 )5 =

02. Resolver :

a) (− 6 ) (− 5 ) + (− 3 )3 b) (+ 2 )4 − (− 50 ) : (− 10 )

c) (− 3 )2 + (− 2 )3 d) (− 9 )2 : 33 + (− 2 )4

e) (8 − 5 )3 + 22 x 3 + (− 9 + − 3 + − 5 ) f)3√− 27 − √ √25 + √16

g) √ √9 + √1 −3√ √64 h) [ (−2 )5 : 23 ] : −4 + 5√ − 32 x 9 − 3 3√34 − 159

03. Efectuar: M =

3√ (− 8 ) (− 64 ) (− 125 )(− 2 )3 (+ 5 ) 04. Efectuar: (

5√− 32 + 3√− 64 )2 − (3√− 8 − 3√+ 27 )2

05. Efectuar: (5√− 27 + 3√ − 1) : 3√− 8 + (− 9 + 3 ) (−2 )2 + (+ 3 )2 (− 3 )

06. Efectuar: [ 6√ 64 . (−2 )3 ] : (−16 ) + (−4 )

07. Efectuar: 3√− 27 + √ 2 [√9 + (−5 ) (−3 ) ] − (−3 ) (+3 )2

TAREA DOMICILIARIA

Efectuar:

a) 7 + (− 3 ) (− 4 ) + (− 2 )3 (6 )

b) 9 x 6 : 3 + (− 5 )2 (− 2 )2

c) √144 (− 4 )3 : 32 − √121 (− 3 )4 : 27

d)√34 x (−2 )3 − 62 . (−3 )2 + 2 (−4 )

e) ( − 10 )2 + [ − 2 − + 5 + (√36 ) (−7 ) ] 2

f) (− 8 )5 : (− 2 )4 + √6 x 102 − 52 x (−2 )

g) (40 − 5 x − 7 )2 : (−5 )2 + 3√− 27 x (− 5 )3

h) (−3 )3 : (+ 27 ) + ( 3√ − 8) (+ 27 )0 + −1

i) (− 2 ) (−3 )2 + 3√ − 27 + 5√ 32

j)5√− 32 − √√9 + √1 : (− 1 )2 + (− 7 − 4 )