Question

1) Calcule o valor das expressões:

a) 4²- 10 + (2³ - 5) = ________
b) 30 – (2 + 1)²+ 2³ = __________
c) 30 + [6² : ( 5 – 3) + 1 ] = ________
d) 20 – [6 – 4 x( 10 - 3²) + 1] = ________
e) 50 + [ 3³ : ( 1 + 2) + 4 x 3] = ________
f) 100 –[ 5² : (10 – 5 ) + 2⁴ x 1 ] = ______
g) [ 4² + ( 5 – 3)³] : ( 9 – 7)³ = _________
h) 7²+ 2 x[(3 + 1)² - 4 x 1³] = __________
i) 25 + { 3³ : 9 +[ 3² x 5 – 3 x (2³- 5¹)]} = _______

2) Calcule as expressões:

a) ( 8 : 2) . 4 + {[(3² - 2³) . 2⁴ - 5⁰] . 4¹}= ________
b) ( 3² - 2³) . 3³ - 2³ + 2² . 4² = _______________
c) ( 2⁵ - 3³) . (2² - 2 ) = ____________________
d) [2 . (10 - 4² : 2) + 6²] : ( 2³ - 2²) = ___________
e) (18 – 4 . 2) . 3 + 2⁴ . 3 - 3² . ( 5 – 2) = ___________
f) 4² . [2⁴ : ( 10 – 2 + 8 ) ] + 2⁰ = __________________
g) [( 4² + 2 . 3²) + ( 16 : 8)² - 35]² + 1¹⁰ - 10⁰ = _________
h) 13 + ( 10 – 8 + (7 – 4)) = _________________
i) (10 . 4 + 18 – ( 2 . 3 +6)) = _________________
j) 7 . ( 74 – ( 4 + 7 . 10)) = ___________________
k) ( 19 : ( 5 + 3 . 8 – 10)) = ________________________
l) (( 2³ + 2⁴) . 3 -4) + 3² = ____________________
m) 3 + 2 . [(3²- 2⁰) + ( 5¹ - 2²)] + 1 =_______________

Answer 1

Resposta:

a) 4²- 10 + (2³ - 5) =

4² - 10 + (8 - 5) =

16 - 10 + 3 =

16 - 13 =

3

b) 30 – (2 + 1)²+ 2³ =

30 - (4 + 1) + 8 =

30 - 5 + 8 =

30 - 13 =

17

c) 30 + [6² : ( 5 – 3) + 1 ] =

30 + [ 6² : 2 + 1 ] =

30 + [ 36 : 2 + 1 ] =

30 + [18 + 1 ] =

30 + 19 =

49

d) 20 – [6 – 4 x( 10 - 3²) + 1] =

20 - [6 - 4 x(10 - 9) + 1 ] =

20 - [6 - 4 x 1 + 1 ] =

20 - [6 - 4 + 1 ] =

20 - [6 - 5 ] =

20 - 1 =

19

e) 50 + [ 3³ : ( 1 + 2) + 4 x 3] =

50 + [ 3³ : 3 + 4 x 3] =

50 + [ 27 : 3 + 4 x 3] =

50 + [ 27 : 3 + 12] =

50 + [ 9 + 12] =

50 + 21 =

71

f) 100 –[ 5² : (10 – 5 ) + 2⁴ x 1 ] =

100 –[ 5² : 5 + 2⁴ x 1 ] =

100 –[ 25 : 5 + 16 x 1 ] =

100 –[ 5 + 16 ] =

100 – 21 =

79

g) [ 4² + ( 5 – 3)³] : ( 9 – 7)³ =

[ 4² + 2³] : 2³ =

[ 16 + 8 ] : 8 =

24 : 8 =

3

h) 7²+ 2 x[(3 + 1)² - 4 x 1³] =

7²+ 2 x[ 4² - 4 x 1³] =

7²+ 2 x[ 16 - 4 x 1 ] =

7²+ 2 x[ 16 - 4 ] =

7²+ 2 x 12 =

49+ 2 x 12 =

49+ 24 =

73

i) 25 + { 3³ : 9 +[ 3² x 5 – 3 x (2³- 5¹) ] } =

25 + { 3³ : 9 +[ 3² x 5 – 3 x (8- 5 ) ] } =

25 + { 3³ : 9 +[ 3² x 5 – 3 x 3 ] } =

25 + { 3³ : 9 +[ 9 x 5 – 3 x 3 ] } =

25 + { 3³ : 9 +[ 45 – 9 ] } =

25 + { 3³ : 9 + 36 } =

25 + { 27 : 9 + 36 } =

25 + { 3 + 36 } =

25 + 39 =

64

2) Calcule as expressões:

a) ( 8 : 2) . 4 + { [ (3² - 2³) . 2⁴ - 5⁰ ] . 4¹ }=

4 . 4 + { [ (9 - 8) . 2⁴ - 5⁰ ] . 4¹ }=

4 . 4 + { [ 1 . 2⁴ - 5⁰ ] . 4¹ }=

4 . 4 + { [ 1 . 16 - 1 ] . 4¹ }=

4 . 4 + { [ 16 - 1 ] . 4¹ }=

4 . 4 + { 15 . 4¹ }=

4 . 4 + { 15 . 4 }=

4 . 4 + 60 =

16 + 60 =

76

b) ( 3² - 2³) . 3³ - 2³ + 2² . 4² =

( 9 - 8 ) . 3³ - 2³ + 2² . 4² =

1 . 27 - 8 + 4 . 16 =

27 - 8 + 64 =

27 - 72

- 45

c) ( 2⁵ - 3³) . (2² - 2 ) =

( 32 - 27 ) . (4 - 2 ) =

5 . 2 =

10

d) [2 . (10 - 4² : 2) + 6²] : ( 2³ - 2²) =

[2 . (10 - 16 : 2) + 6²] : ( 8 - 4 ) =

[2 . (10 - 8 ) + 6²] : 4 =

[2 . 2 + 6²] : 4 =

[2 . 2 + 36] : 4 =

[4 + 36] : 4 =

40 : 4 =

10

e) (18 – 4 . 2) . 3 + 2⁴ . 3 - 3² . ( 5 – 2) =

(18 – 8) . 3 + 2⁴ . 3 - 3² . 3 =

10 . 3 + 2⁴ . 3 - 3² . 3 =

10 . 3 + 16 . 3 - 9 . 3 =

30 + 48 - 27 =

30 + 21 =

51

f) 4² . [2⁴ : ( 10 – 2 + 8 ) ] + 2⁰ =

4² . [2⁴ : ( 10 – 10) ] + 2⁰ =

4² . [2⁴ : 0 ] + 2⁰ =

4² . [16 : 0 ] + 2⁰ =

4² . 16 + 2⁰ =

4² . 16 + 2⁰ =

16. 16 + 1 =

256 + 1 =

257

g) [( 4² + 2 . 3²) + ( 16 : 8)² - 35]² + 1¹⁰ - 10⁰ =

[(16 + 2 . 9) + ( 256 : 64) - 35]² + 1¹⁰ - 10⁰ =

[(16 + 18) + 4 - 35]² + 1¹⁰ - 10⁰ =

[34 + 4 - 35]² + 1¹⁰ - 10⁰ =

[1156 + 16 - 1225] + 1¹⁰ - 10⁰ =

[1172- 1225] + 1¹⁰ - 10⁰ =

-53 + 1¹⁰ - 10⁰ =

-53 + 1 - 1 =

- 53

h) 13 + ( 10 – 8 + (7 – 4)) =

13 + ( 10 – 8 + 3 ) =

13 + ( 10 – 11 ) =

13 + ( - 1 ) =

13 - 1 =

12

i) (10 . 4 + 18 – ( 2 . 3 +6) ) =

(10 . 4 + 18 – ( 6 +6) ) =

(10 . 4 + 18 – 12 )=

(40 + 18 – 12 )=

(58 – 12 )=

46

j) 7 . ( 74 – ( 4 + 7 . 10) ) =

7 . ( 74 – ( 4 + 70) ) =

7 . ( 74 – 74) =

7. 0 =

0

k) ( 19 : ( 5 + 3 . 8 – 10) ) =

(19 : ( 5 + 24 – 10) ) =

(19 : ( 29 – 10) ) =

(19 : 19)=

1

l) ((2³ + 2⁴) . 3 -4) + 3² =

( (8 + 16) . 3 -4) + 3² =

(24 . 3 -4) + 3² =

(72 - 4) + 3² =

68 + 3² =

68 + 9 =

77

m) 3 + 2 . [ (3²- 2⁰) + ( 5¹ - 2²) ] + 1 =

3 + 2 . [ (9- 1) + ( 5 - 4 ) ] + 1 =

3 + 2 . [ 8 + 1 ] + 1 =

3 + 2 . 9 + 1 =

3 + 18 + 1 =

22

Explicação passo-a-passo:

Ordem da resolução da expressão

1) Parenteses ( )

2) Cocheltes [ ]

3) Chaves { }

Sinais

1) Potenciação/ Radiação

2) Multiplicação/ Divisão

3) Soma/ Subtração