Question

2 - Qual o valor das expressões numéricas abaixo:


a) { 10 + [5.(4 + 2.5) -8].2} - 100 =


b) 80-5. (28 - 6.4) + 6-3.4 =


c)(8:2).4 + {[ ( 3² - 2³). 2^4.5^0 ].4¹}=


d) (3²-2³ ).3³ -2³ + 2².4² =


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

Answer 1

Explicação passo a passo:

a)

{ 10 + [5.(4 + 2.5) -8].2} - 100 =

parenteses

2 * 5 = 10

4 + 10 = 14 ****

reescrevendo

{ 10 + [ 5 * 14 -8 ] *2 } - 100 =

5 * 14 = 70

70 - 8 = 62 ****

{ 10 + [ 62 * 2 } - 100

{ 10 + 124 } - 100

10 +124 = 134

134 - 100 = 34 >>>>>>>>resposta

b)

80-5. (28 - 6.4) + 6-3.4 =

parenteses

6 * 4 = 24

28- 24= 4 >>>>

reescrevendo

80 - 5* 4 + 6 - 3 * 4

5 * 4 = 20

3 * 4 = 12

reescrevendo

80 - 20 + 6 - 12 =

80 -20 = +60

+60 + 6 = + 66

+66 - 12 =+ 54 >>>>>resposta

c)

(8:2) * 4 + {[ ( 3² - 2³) * 2^4 * 5^0 ] * 4¹}=

expoentes

3² =3 * 3 = 9 >>>>>

2³ = 2 * 2 * 2 = 8 >>>>

9 - 8 = 1 >>>>>

2^4 = 2 * 2 * 2 * 2 = 16

5^0 = 1 >>>

4¹ = 4 >>>>

8 : 2 = 4 >>>>

reescrevendo

4 * 4 + { [ 1 * 16 * 1 ] * 4 }

4 * 4 = 16 >>>

1 * 16 * 1 =16

reescrevendo

16 + 16 * 4 =

16 * 4 = 64

16 + 64 = 80 >>>>>> resposta

d)

(3² - 2³ ) * 3³ - 2³ + 2² * 4² =

3² = 3 * 3 = 9

2³ = 2 *2 * 2 = 8

9 -8 = 1 >>>

3³ = 3 * 3 * 3 = 27

2³ = 2 * 2 * 2 = 8

4² = 4 * 4 = 16

reescrevendo

1 * 27 - 8 + 4 * 16 =

1 * 27 = 27 >>>

4 * 16 = 64>>>>

27 - 8 + 64 =

27 - 8 = 19

19 + 64 = 83 Resposta

e)

[2 * ( 10 - 4² : 2) + 6² ] : (2³ - 2² ) =​

4² = 4 * 4 = 16>>>>

6² = 6 * 6 = 36>>>>

2³ = 2 * 2 * 2 = 8 >>>

2² = 2 * 2 = 4

REESCREVENDO

[ 2 * ( 10 - 16 : 2 ) + 36] : ( 8 - 4 ) =

8 - 4 = 4 >>>>

16 : 2 = 8

10 - 8 =2 >>>>

REESCREVENDO

[ 2 * 2 + 36 ] : ( 4 )

2 * 2 = 4

4 + 36 = 40

40 : 4 = 10 >>>>>>RESPOSTA