NÚMEROS NEGATIVOS NN.7.05.A

1) Determine: RESOLVA AS EXPRESSÕES NUMÉRICAS NO CADERNO

a) 10+(-4).2 Resposta:2 10+(-8) 10-8 2

b) (-5).3-(-6).4 Resposta: 9 -15-(-24) -15+24 9

c) 19-(-20):(-2) Resposta: +9 19-(+10) 19-10 9

d) 8-10:(-5) Resposta: 10 8-(-2) 8+2 10

e) (-40):8-30:(-6) Resposta: 0 -5-(-5) -5+5 0

f) 36:(-3)+(-5).(-2) Resposta: -2 -12+10 -2

g) 15:(-3)-28:(-4) Resposta: 2 -5-(-7) -5+7 2

h) 10-2.6 Resposta: -2

10-12 -2

i) (-5):5-3.(-1)+1 Resposta: 3 -1-(-3)+1 -1+3+1 3

j) 45-6.5+48:(-6) Resposta: 7 45-30+(-8) 45-30-8 7

k) 30:(-10)+8-(-2).3 Resposta: 11 -3+8-(-6) -3+8+6 11

l) 25:(-25)+4:(-4)+2 Resposta: 0 -1+(-1)+2 -1-1+2 0

m) -15:3+4 Resposta: -1 -5+4 -1

n) 20-(-28):(-7) Resposta: 16

20-4 16

o) (-30).2:(-3) Resposta: 20 -60:(-3) 20

p) (-16):4-18:(-6) Resposta: -1 -4-(-3) -4+3 -1

q) 15+(-3).(-4)-2.(-15) Resposta: 57 15+12-(-30) 15+12+30 57

r) 11-2.(-8)+7.(-4) Resposta: -1 11-(-16)+(-28) 11+16-28 27-28 -1

s) 25-(-8).2 Resposta: 41 25-(-16) 25+16 41

t) -12-(-3).4 Resposta: 0 -12-(-12) -12+12 0

u) 20-6.3 Resposta: 2 20-18 2

v) 2.(-5)+3.(-4)-4.(-6) Resposta: 2 -10+(-12)-(-24) -10-12+24 -22+24 2

w) 20-2.(-7)+(-12).3 Resposta: -2 20-(-14)+(-36) 20+14-36 -2

x) -3.9+24 Resposta: -3 -27+24 -3

y) -5.4-(-3).7 Resposta: 1 -20-(-21) -20+21 1

z) 5.(-6)-3.2+28 Resposta: -8 -30-6+28 -8

aa) 2.(-9)+3.(-1) Resposta: -15 -18+(-3) -18-3 -21

GABARITO ERRADO

bb) 15-2.(-5).(-1) Resposta: 5 15-10 5

NÚMEROS NEGATIVOS NN.7.05.B

1 Ache os valores numéricos

a) 4x+20, para x=-5 Resposta: 0 4.(-5)+20 -20+20 0

b) xy+10, para x=4 e y=-3 Resposta: -2

4.(-3)+10 -12+10 -2

c) 10-6a, para a=-2 Resposta: 22 10-6.(-2) 10+12 22

d) 3a-b, para a=-6 e b=-21 Resposta: 3

3.(-6)-(-21) -18+21 3

e) 5x+13, para x=-2 Resposta: 3 5.(-2)+13 -10+13 3

f) 4a-ab, para a=-1 e b=2 Resposta: -2

4.(-1)-(-1).2 -4-(-2) -4+2 -2

g) ax+ay, para a=-2, x=-3, y=1 Resposta: 4

-2.(-3)+(-2).1 6+(-2) 6-2 4

h) 5a-2b, para a=6 e b=15 Resposta: 0

5.6-2.15 30-30 0

i) x+xy, para x=-1 e y=1 Resposta: -2 -1+(-1).1 -1-1 -2

j) 2x+xy-3y, para x=2 e y=-2 Resposta: 6

2.2+2.(-2)-3.(-2) 4-4+6 6

2 a) Se A=2.(-9)+20 e B=1-(-2).3, quanto vale A+B? Resposta: 9 A=-18+20 =2 B=1-(-6) =7 A+B=2+7 =9 b) Se x=(-1).(-2)-(-5) e y=6+(-3).3, quanto vale x-y? Resposta: 10 x=2-(-5) x=2+5 x=7 y=6+(-9) y=-3 x-y 7-(-3) 7+3 10 3 Resolva

a) -5+(-3).8 Resposta: -29 -5+(-24) -5-24 -29

b) -6.5-(-4).3 Resposta: -18 -30-(-12) -30+12 -18

c) (-5+1)(-8+2) Resposta: 24 (-4)(-6) 24

d) 6-(-6+4).(-5+9) Resposta: 14 6-(-2)(4) 6-(-8) 6+8 14

e) (-3).(-4)+(-6).5 Resposta: -18 12+(-30) 12-30 -18

f) 12-(-2).3+(-4).(-5) Resposta: 38 12-(-6)+20 12+6+20 38

g) 9.-[(-2).7-(-8).3] Resposta: -1 9-[-14-(-24)] 9-[-14+24] 9-10 -1

h) (-2).3+{2.[-3+(-2).(-4)]} Resp: 4 -6+{2.[-3+8]} -6+{2.5} -6+10 4

i) (-4+20):(-8) Resposta: -2

16:(-8) -2

j) (-6-14):(-6+1) Resposta: 4 (-20):(-5) 4

k) (-8).3-(-15):3 Resposta: -19 -24-(-5) -24+5 -19

l) [-8+(-4).(-3)]:(-1-1) Resposta: -2 [-8+12]:(-2) 4:(-2) -2

m) (-6-2+3):[-3.(-2+3)+8] Resp: -1 (-5):[-3(1)+8] (-5):[-3+8] (-5):5 -1

n) -20:{-6+[(-2).(-3):(+2)-2]} Resposta: 4

-20:{-6+[6:2-2]} -20:{-6+[3-2]} -20:{-6+1} -20:{-5} 4

o) 10-{-6+[(-12):(-3)-8] Resposta: 20

10-{-6+[4-8]} 10-{-6+[-4]} 10-{-6-4} 10-{-10} 10+10 20

p) [-20+(-12+4)]:[1+(-3).(-2)] Resposta: -4

[-20+(-8)]:[1+6] [-20-8]:7 -28:7 -4

NÚMEROS NEGATIVOS NN.7.01.A

1) Resolva as expressões:

a) 15+(-8).3 Resposta -9

15+(-24) 15-24 -9

b) (-30):(-5)-(-4) Resposta: 10 6+4 10

c) 21-(-14):2 Resposta: 28 21-(-7) 21+7 28

d) (-5)2+(-2)5 Resposta: - 7 25+(-32) 25-32 -7

e) (-6)2+(-1)3-33 Resposta: 8

36+(-1)-27 36-1-27 8

f) (-6)2-12 Resposta: 24 36-12 24

g) -5.6-(-3)2 Resposta: -39 -30-9 -39

h) (-8)2:(-16)+5 Resposta: 1 64:(-16)+5 -4+5 1

i) 3.(-2)2+(-36):(-3)2 Resposta: 8 3.4+(-36):9 12+(-4) 12-4 8

j) (-5)2+32 Resposta: -34 25+9 34 GABARITO ERRADO

k) (-3)3-(-2)3-(-1)4 Resposta: -20 -27-(-8)-1 -27+8-1 -28+8 -20

l) 3.(-4)2-(-7)2 Resposta: - 1 3.16-49 48-49 -1

m) 15-3.(-2)2+5o Resposta: 4 15-3.4+1 15-12+1 4

n) (-4)3-24 Resposta: 0 -64-16 -80 GABARITO ERRADO

o) 32-(-3)3+(-2)2 Resposta: 40 9-(-27)+4 9+27+4 40

p) (-4)3:25-(-2)2.(-1)3 Resposta: 2 (-64):32-4:(-1) -2+4 2

q) 8+(-45):(-3)2+(-4).(-1)3

Resposta: 7 8+(-45):9+(-4).(-1) 8+(-5)+4 8-5+4 7

r) (-6)0+(-3)2+(-2)3.(-1) Resp: 18

1+9+(-8).(-1) 1+9+8 18

s) 32-42-(-2).(-4) Resposta: -15 9-16-8 -15

t) (-7)2-(-7).(-6) Resposta: 7 49-42 7

u) 4.(-3)2+(-5)2 Resposta: 61 4.9+25 36+25 61

v) (-6)2:[(-4)-(-2)3] Resposta: 9 36:[-4-(-8)] 36:[-4+8] 36:4 9

w) (-1)4-(-1)3.(-2)4:(-2)2 Resposta: -4 1-(-1).16:4 1-(-16):4 1-(-4) 1+4 5 GABARITO ERRADO

x) (-15+9)2:(-5+1) Resposta: -9 (-6)2:(-4) 36:(-4) -9

y) (-2-1)2.(-2+6)3-(5-4+2)3:(-5+2) Resposta: 585

(-3)2.(4)3-33:(-3) 9.64-27:(-3) 576+9 585

2) Ache os valores numéricos:

a) x3-2x2+5x+4, para x=-1 (-1)3-2.(-1)2+5(-1)+4 -1-2+(-5)+4 -1-2-5+4 -2

b) x2-y2, para x=-4 e y=-5 Resp: -4 (-4)2-(-5)2 16-25 -9 GABARITO ERRADO

c) x3-2x, para x=-1 Resposta: 1 (-1)3-2.(-1) -1+2 1

d) a3-b3 , para a=1 e b=-2 Resp: -4 13-(-2)3 1-(-8) 1+8

9 GABARITO ERRADO

e) x2-xy-y3, para x=-4 e y=2 Resposta: 20

(-4)2-(-4).2-23 16-(-8)-8 16+8-8 16 GABARITO ERRADO

f) x2-5x-6, para x=2 Resposta: -12

22-5.2-6 4-10-6 -12

g) x3-x2-x+1, para x=-1 Resposta: 0

(-1)3-(-1)2-(-1)+1 -1-1+1+1 0

EXPRESSÕES NUMÉRICAS NN.7.11.Q

1. −3

4− (−

5

6) . (

7

5) Resposta:

5/12

−3

4− (−

7

6)

−3

4+

7

6

−9

12+

14

12

5

12

2. (−3 −3

5) (−

7

12+

13

18) Resposta:

-1/2

(−15

5−

3

5) (−

21

36+

26

36)

(−18

5) (

5

36)

(−1

1) (−

1

2)

1

2

3. (−2 +3

4) (

1

2+

1

3)

Resposta: -25/24

(−8

4+

3

4) (

3

6+

2

6)

(−5

4) (

5

6)

−25

24

4. −

3

2+

1

3

1−7

4

Resposta:

14/9

−96

+26

44

−74

−76

−34

=28

18=

14

9

5. 2

21−

3

7: (−

3

5) Resposta:

17/21

2

21−

3

7. (−

5

3)

2

21+

5

7

2

21+

15

21=

17

21

6. (−4

9+

1

15) : (−

5

6−

1

9) Resposta: 2/5

(−20

45+

3

45) : (−

15

18−

2

18)

(−17

45) : (−

17

18)

(−17

45) (−

18

17) =

2

5

7. (−5

9) : (

2

3) −

7

6 Resposta: -2

(−5

9) (

3

2) −

7

6

(−5

6) −

7

6

(−5

6) −

7

6

−12

6= −2

8. 2 −9

8: (−

5

4) Resposta:

29/10

2 −9

8(−

4

5)

2 − (−9

10)

2 +9

10

20

10+

9

10

29

10

9. [(−5

9) : (−

2

3)] : (−3

2

3)

Resposta: -10/89

[(−5

9) (−

3

2)] : (−

11

3)

[5

6] : (−

11

3)

5

6(−

3

11)

−15

66= −

5

22

GABARITO ERRADO

10. −15,8 + (−8,68): 6,2 Resposta: 17,2

-15,8+(-1,4)

-17,2

11. 2

5(−

1

2) +

2

5

Resposta: 1/15

−1

5+

2

5=

1

5

GABARITO ERRADO

12. −3

4.

2

5−

2

10 Resposta: -

1/2

−3

10−

2

10= −

5

10= −

1

2

13. (3 −1

2) .

1

4 Resposta 5/8

(6

2−

1

2) .

1

4

(5

2) .

1

4=

5

8

14. (2

3−

1

2) : (−

3

4) Resposta: -

2/9

(4

6−

3

6) : (−

3

4)

(1

6) : (−

3

4)

(1

6) (−

4

3) = −

4

18= −

2

9

15. (−2

3)

3

:8

9 Resposta: -1/3

−8

27:8

9= −

8

27.9

8= −

1

3

16. (−1

2+

2

3) (2 −

1

4)

Resposta 7/24

(−1

2+

2

3) (2 −

1

4)

(−3

6+

4

6) (

8

4−

1

4)

(1

6) (

7

4) =

7

24

17. (−2 +1

3) : (

2

3− 3) Resposta 5/7

(−6

3+

1

3) : (

2

3−

9

3)

(−5

3) : (−

7

3)

(−5

3) : (−

3

7) =

5

7

18. (3

4−

5

6) : (

2

3−

1

2)

Resposta: -1/2

(15

12−

10

12) : (

4

6−

3

6)

(9

12−

10

12) : (

4

6−

3

6)

(−1

12) : (

1

6)

(−1

12) . 6 = −

6

12= −

1

2

19. 2+

1

3

1+1

2

Resposta 14/9

2 +13

1 +12

=

63

+13

22

+12

=

7332

=7

3.2

3=

14

9

20. −

1

2+

1

31

4+

2

3

Resposta: 2/11

−12

+13

14

+23

=−

36

+26

312

+8

12

=−

16

1112

= −1

6.12

11= −

2

11

GABARITO ERRADO

21. −

1

5+

3

10

2 Resposta: 1/20

−15

+3

102

=−

210

+3

102

=

1102

=1

20

22. 1

5

1+1

2

Resposta: 2/15

15

1 +12

=

15

22

+12

=

1532

=2

15

23. −4

2−1

2

Resposta: -8/3

−4

2 −12

=−4

42

−12

=−4

32

= −8

3

24. 1−

1

2

2+3

2

Resposta: 1/7

1 −12

2 +32

=

22

−12

42

+32

=

1272

=1

7

25. (3 +1

2−

1

3) : (

1

2−

9

4) Resposta: -

38/21

(3 +1

2−

1

3) : (

1

2−

9

4)

(18

6+

3

6−

2

6) : (

2

4−

9

4)

(19

6) : (−

7

4) =

19

6. (−

4

7) = −

38

21

26. (−1 +1

2)

3

−1

4 Resposta: -3/8

(−2

2+

1

2)

3

−1

4

(−1

2)

3

−1

4

−1

8−

1

4=

1

8−

2

8= −

3

8

27. (−2 +1

2)

2

(1

2−

1

4)

Resposta: 45/16

(−4

2+

1

2)

2

(2

4−

1

4)

(−3

2)

2

(1

4)

9

4(

1

4) =

9

16

GABARITO ERRADO

28. (3

2−

1

3)

2

: (3

4−

1

2)

2

Resposta: 196/9

(9

6−

2

6)

2

: (3

4−

2

4)

2

(7

6)

2

: (1

4)

2

49

36:

1

16=

49

36. 16 =

196

9

29. (−1

2)

3

−1

4[

2

3− (−1 +

1

2)

2

]

Resposta: -11/48

−1

8−

1

4[2

3− (−

1

2)

2

]

−1

8−

1

4[2

3−

1

4]

−1

8−

1

4[

8

12−

3

12]

−1

8−

1

4[

5

12]

−1

8−

5

48

−6

48−

5

48= −

11

48

30. (−1 −1

2) (−

1

2)

2

Resposta: -

3/8

(−1 −1

2) .

1

4

(−2

2−

1

2) .

1

4

(−3

2) .

1

4= −

3

8

31. (−2 −1

3−

1

2) : (−2 −

7

5)

Resposta: 5/6

(−12

6−

2

6−

3

6) : (−

10

5−

7

5)

(−17

6) : (−

17

5) = (−

17

6) (−

5

17) =

5

6

32. (−1

9−

1

3) + (

1

4−

2

3) (

2

5)

Resposta: -11/18

(−1

9−

1

3) + (

1

4−

2

3) (

2

5)

(−1

9−

3

9) + (

3

12−

8

12) (

2

5)

(−4

9) + (−

5

12) (

2

5)

(−4

9) + (−

1

6)

−4

9−

1

6= −

8

18−

3

18= −

11

18

EXPRESSÕES NUMÉRICA NN.7.11.R

33. (2 −1

3)

2

: (1

2− 1)

3

Resposta: -

200/9

(6

3−

1

3)

2

: (1

2−

2

2)

3

(5

3)

2

: (−1

2)

3

25

9: (−

1

8) =

25

9. (−8) = −

200

9

34. {−1

7[(−

3

4)

2

+ (3 −1

2)

2

]} :109

4

Resposta: -1/28

{−1

7[

9

16+ (

6

2−

1

2)

2

]} :109

4

{−1

7[

9

16+ (

5

2)

2

]} :109

4

{−1

7[

9

16+

25

4]} :

109

4

{−1

7[

9

16+

100

16]} :

109

4

{−1

7[109

16]} :

109

4

{−109

112} :

109

4= −

109

112.

4

109= −

4

112= −

2

56

= −1

28

35. √1 +5

4(0,2 + 1) Resposta: 9/5

√4

4+

5

4(1,2)

√9

4(

12

10) =

3

2.12

10=

36

20=

9

5

36. (−2 +1

3)

2

(0,4 −1

5)

2

− 0,7√36

49

Resposta: -22/45

(−6

3+

1

3)

2

(4

10−

1

5)

2

−7

10√

36

49

(−5

3)

2

(4

10−

2

10)

2

−7

10.6

7

25

9(

2

10)

2

−3

5

25

9.

4

100 −

3

5=

1

9−

3

5=

5

45−

27

45= −

22

45

37. [1

2− (1 +

1

2)

2

] (2 +2

3)

Resposta: -14/3

[1

2− (1 +

1

2)

2

] (2 +2

3)

[1

2− (

2

2+

1

2)

2

] (6

3+

2

3)

[1

2− (

3

2)

2

] (8

3)

[1

2−

9

4] (

8

3)

[2

4−

9

4] (

8

3) = −

7

4.8

3= −

14

3

38. (−3

2)

2

: [(−1

4) +

1

2]

Resposta: 0

9

4: [−

1

4+

2

4] =

9

4:1

4= 9

GABARITO ERRADO

39. 1

2: [2 − (

2

3+

1

4)]

Resposta: 6/13

1

2: [2 − (

8

12+

3

12)]

1

2: [

24

12− (

11

12)]

1

2: [

13

12] =

12

26=

6

13

40. (−6): [(−3

2)

3

(10

9−

2

15.

10

6)]

Resposta: 2

(−6): [(−3

2)

3

(10

9−

2

15.10

6)]

(−6): [−27

8(

10

9−

2

9)]

(−6): [−27

8(

8

9)]

(−6): [−3] = 2

41. 16 (3

4−

1

2)

3

− [5

2+

1

3. (−

3

4)]

Resposta: -2

16 (3

4−

2

4)

3

− [5

2+ (−

1

4)]

16 (1

4)

3

− [10

4−

1

4]

16.1

64− [

9

4]

1

4− [

9

4] = −

8

4= −2

42. (2

3−

1

2)

2

: (−1

2+

1

3)

2

Resposta: 1

(4

6−

3

6)

2

: (−3

6+

2

6)

2

(1

6)

2

: (−1

6)

2

1

36:

1

36= 1

43. 5𝑥 −3

4: 𝑦 para x=3/4 e y=-3/8

Resposta: 23/4

5.3

4−

3

4: (−

3

8)

15

4−

3

4. (−

8

3)

15

4+ 2 =

15

4+

8

4=

23

4

44. 12 − 5𝑥 para x=-4/3 Resposta: 63/4

12 − 5. (−4

3)

12 +20

3=

36

3+

20

3=

56

3

GABARITO ERRADO

45. 3

7𝑥 −

5

8: 𝑦 para x=-7/5 e y=-5/2

Resposta: -7/20

3

7. (−

7

5) −

5

8: (−

5

2)

−3

5−

5

8. (−

2

5) = −

3

5+

1

4

−12

20+

5

20= −

7

20

46. 4𝑥 + 𝑦: 𝑥 para x=2/9 e y=-5/3

Resposta: -119/18

4.2

9+ (−

5

3) : (

2

9)

8

9+ (−

5

3) . (

9

2)

8

9+ (−

15

2) =

8

9−

15

2=

16

18−

135

18= −

119

18

47. 3x-5y para x=3/4 e y=-5/9 Resposta: 181/36

3.3

4− 5. (−

5

9)

9

4−

25

9=

81

36+

100

36=

181

36

48. 3x-4y sendo x=-2/3 e y=-2/5

Resposta: -2/5

3 (−2

3) − 4 (−

2

5)

−2 +8

5= −

10

5+

8

5= −

2

5

49. x2-5x+6 sendo x=-3/4

Resposta: 165/16

(−3

4)

2

− 5 (−3

4) + 6

9

16+

15

4+ 6

9

16+

60

16+

96

16=

165

16

50. 3x-y sendo x=-3 e y=-1/2

Resposta: -17/2

3(−3) − (−1

2)

−9 +1

2= −

18

2+

1

2= −

17

2

51. 3x2-2x+1

3 sendo x=-2/3

Resposta: 3

3. (−2

3)

2

− 2. (−2

3) +

1

3

3.4

9+

4

3+

1

3=

12

9+

5

3=

12

9+

15

9=

27

9= 3

52. 7x2-5x-3 sendo x=-3/5

Resposta: 63/25

7 (−3

5)

2

− 5 (−3

5) − 3

7.9

25+ 3 − 3 =

63

25

53. 3𝑥−𝑦2

2𝑥+𝑦 sendo x=13/21 e y=-1/7

Resposta: 270/161

3.1321

− (−17

)2

2.1321

+ (−17

)=

137

−1

492621

−17

=

9149

−1

492621

−3

21

=

90492321

=90

49.21

23=

270

161

54. 3x-5y sendo x=1/2 e y=1/5

Resposta: ½

3.1

2− 5.

1

5=

3

2− 1 =

3

2−

2

2=

1

2

55. 2x-3xy sendo =4/3 e y=-2/5

Resposta 64/15

2.4

3− 3.

4

3. (−

2

5)

8

3− 4. (−

2

5) =

8

3+

8

5

24

15+

40

15=

64

15

56. x2-xy sendo x=2/5 e y=-1/10

Resposta: 1/5

(2

5)

2

−2

5. (−

1

10)

4

25+

2

50=

8

50+

2

50=

10

50=

1

5

57. 3x2-2x-1 sendo x=1/3 Resposta: -4/3

3. (1

3)

2

− 2. (1

3) − 1

3.1

9− 2.

1

3− 1

3

9−

2

3− 1 =

3

9−

6

9−

9

9

−12

9= −

4

3

58. -x2-6x sendo x=-2/3

Resposta: 32/9

− (−2

3)

2

− 6 (−2

3)

−4

9+

12

3= −

4

9+

36

9=

32

9

59. 2x2-x-3 sendo x=-1/2

Resposta: 0

2. (−1

2)

2

− (−1

2) − 3

2.1

4+

1

2− 3

2

4+

1

2− 3

2

4+

2

4−

12

4

−8

4= −2

GABARITO ERRADO

60. 2a-3b sendo a=3/2 e b=-2/3 Resposta: 5

2.3

2− 3. (−

2

3)

3 + 2 = 5

61. 2x2-3x-2 sendo x=-1/2 Resposta: 0

2. (−1

2)

2

− 3. (−1

2) − 2

2.1

4+

3

2− 2

1

2+

3

2−

4

2=

0

2= 0

62. a2+3a sendo a=3b e b=-1/2

Resposta: =-9/4 Primeiro calculamos 𝑎 =

3. (−1

2) = −

3

2

(−3

2)

2

+ 3 (−3

2) =

9

4−

9

2

=9

4−

18

4

= −9

4