Calcule o valor de cada uma das seguintes expressões numéricas.
a) 3 2 +4 2 + 5 2
b) 9 2 - 10 0 - 2 6
c) 27: 3 3 x 2 3 +1
d) 10 2 : 4 - 3 x 2 3 - 1 20
e) 6 2 : 3 2 - 10 2 : 50
f) ( 7 2 + 1) 2 : (3 2 + 4 2 )
g) 5² : ( 5 +1 -1)+ 4 x 2 =
h) (3 +1)² +2 x 5 - 10⁰ =
i) 3²: ( 4 – 1) + 3 x 2² =
j) 70 –[ 5 x (2² : 4) + 3²] =
k) ( 7 + 4) x ( 3² - 2³) =
l) 5² + 2³ - 2 x (3 + 9) =
m) 6² : 3² + 4 x 10 – 12 =
n) (7² - 1 ) : 3 + 2 x 5 =
o) 4²- 10 + (2³ - 5) =
p) 30 – (2 + 1)²+ 2³ =
q) 30 + [6² : ( 5 – 3) + 1 ] =
r) 20 – [6 – 4 x( 10 - 3²) + 1] =
s) 50 + [ 3³ : ( 1 + 2) + 4 x 3] =
t) 100 –[ 5² : (10 – 5 ) + 2⁴ x 1 ] =
u) [ 4² + ( 5 – 3)³] : ( 9 – 7)³ =
v) 7²+ 2 x[(3 + 1)² - 4 x 1³] =
w) 25 + { 3³ : 9 +[ 3² x 5 – 3 x (2³- 5¹)]} =
x) [( 4² + 2 . 3²) + ( 16 : 8)² - 35]² + 1¹⁰ - 10⁰
y) ( 8 : 2) . 4 + {[(3² - 2³) . 2⁴ - 5⁰] . 4¹}=
z) 25 + { 3³ : 9 +[ 3² x 5 – 3 x (2³- 5¹)]}
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Soluções para a tarefa
Resposta:
Explicação passo a passo:
a) 32 +42 + 52 = 126
= 126 (adição)
b) 92 - 100 - 26= -34
= -34
c) 27: 33 x 23 +1= 19,81
27: 33= 0,81
0,81 X 23 = 18,81
18,81 + 1 = 19,81
d) 102 : 4 - 3 x 23 - 120= - 163,5
102 : 4 = 25,5
3 x 23 = 69
25,5 - 69 - 120= - 163,5
e) 62 : 32 - 102 : 50= - 0,11
62 : 32 = 1,93
102 : 50 = 2,04
1,93 - 2,04 = - 0,11
f) ( 72 + 1) 2 : (32 + 42 ) = 1, 97
(72 + 1)= 73
73 . 2 = 146
(32 + 42) = 74
146 : 74 = 1,97
g) 5² : ( 5 +1 -1)+ 4 x 2 = 13
5²= 25
( 5 + 1 - 1) = 5
4 X 2 = 8
25 : 5 = 5
5 + 8 = 13
h) (3 +1)² +2 x 5 - 10⁰ = 25
(3 + 1)= 4
4 ² = 16
2 X 5 = 10
10⁰= 1
16 + 10 - 1 = 25
i) 3²: ( 4 – 1) + 3 x 2² = 15
3²= 9
( 4 - 1) = 3
2²= 4
3 X 4 = 12
9 : 3 = 3
3 + 12 = 15
j) 70 –[ 5 x (2² : 4) + 3²] = 56
[ 5 x 1 + 9] = 14
70 - 14 = 56
k) ( 7 + 4) x ( 3² - 2³) = 11
( 7 + 4 ) = 11
(9 - 8) = 1
11 x 1 = 11
l) 5² + 2³ - 2 x (3 + 9) = 9
5² = 25
2³= 8
(3 + 9) = 12
2 x 12= 24
25 + 8 - 24= 9
m) 6² : 3² + 4 x 10 – 12 = 32
6²= 36
3² = 9
4 x 10 = 40
36 : 9 = 4
4 + 40 - 12 = 32
n) (7² - 1 ) : 3 + 2 x 5 = 26,33
7² = 49
49 - 1 = 48
2 x 5 = 10
49 : 3 = 16,33
16,33 + 10 = 26,33
o) 4²- 10 + (2³ - 5) = 9
4² = 16
2³ = 8
(8 -5) = 3
16 - 10 +3 = 9
p) 30 – (2 + 1)²+ 2³ = 29
( 2 + 1) = 3
3² = 9
2³ = 8
30 - 9 + 8 = 29
q) 30 + [6² : ( 5 – 3) + 1 ] = 49
6² = 36
( 5- 30) = 2
[36: 2 + 1 ] = 19
30 + 19 = 49
r) 20 – [6 – 4 x( 10 - 3²) + 1] = 17
(10 - 3²) = 1
[ 6 - 4 X 1 + 1 ] = 3
20 - 3 = 17
s) 50 + [ 3³ : ( 1 + 2) + 4 x 3] = 15
( 1 + 2) = 3
3²=9
4 X 3 = 12
[ 9 : 3 + 12] = 15
t) 100 –[ 5² : (10 – 5 ) + 2⁴ x 1 ] = 79
(10-5) = 5
5² = 25
2⁴ = 16
[ 25 : 5 + 16 X 1] =21
100 - 21 = 79
u) [ 4² + ( 5 – 3)³] : ( 9 – 7)³ = 3
( 5 - 3) = 2
2³= 8
( 9- 7 ) = 2
2³= 8
4² = 16
[ 16 + 8] = 24
24 : 8 = 3
v) 7²+ 2 x[(3 + 1)² - 4 x 1³] = 73
7² = 49
( 3+ 1) ² = 16
[ 16 - 4 x 1 ] = 12
49 + 2 x 12= 73
w) 25 + { 3³ : 9 +[ 3² x 5 – 3 x (2³- 5¹)]} =36
( 2³ - 5¹) = 8 - 5 = 3
[ 3 ² x 5 - 3 x 3 ]= 9 x 5 - 3 x 3 = 45 - 9 = 36
x) [( 4² + 2 . 3²) + ( 16 : 8)² - 35]² + 1¹⁰ - 10⁰= 9
( 4² + 2 x 3²) = 16 + 2 x 9 = 16 + 18 = 34
(16 : 8 )² = 4
[ 34 + 4 - 35] ² = 9
9 + 1 - 1 = 9
y) ( 8 : 2) . 4 + {[(3² - 2³) . 2⁴ - 5⁰] . 4¹}= 76
( 8 : 2) = 4
( 3² - 2³) = 9 - 8 =1
[ 1 x 2⁴ - 5⁰] = 1 x 16 - 1 = 15
{ 15 x 4} = 60
4 x 4 + 60 = 76
z) 25 + { 3³ : 9 +[ 3² x 5 – 3 x (2³- 5¹)]}= 54
( 2³- 5¹) = 8 - 5 = 3
[ 3² x 5 - 3 x 3 ] = 9 x 5 - 3 x 3 = 45 - 9 = 36
{ 3³ : 9 + 36} = 27 : 9 + 26 = 29
25 + 29 = 54