me ajudem, trabalho de matemática, apresentem os cálculos
Soluções para a tarefa
Resposta:
a) - 5/12
b) -9/140
c) 35/42
d) 0
e) 539/35
f) - 1/20
Explicação passo-a-passo:
a) (-1/2)³ -1/4 . [2/3 -(-2/2 + 1/2)] =
-1³/2³ - 1/4 . [2/3 -(-1/2)] =
-1/8 - 1/4 . [2/3 + 1/2] = Eliminando os colchetes: mmc(2,3) = 6
-1/8 - 1/4 . [2.2/6 + 3.1/6] =
-1/8 - 1/4 . [4/6 + 3/6] =
-1/8 - 1/4 .7/6 =
-1/8 - 7/24 = mmc(8,24) = 24
3.-1/24 - 1.7/24 =
-3/24 - 7/24 =
- 10/24 = (:2)
- 5/12
b) -3/7 . √36/100 + 1/2 : 14/9 =
-3/7 . √36/√100 + 1/2 . 9/14 =
-3/7 . 6/10 + 9/28 =
-18/70 + 9/28 = mmc(70,28) = 140
2.-18/140 + 5.9/140 =
-36/140 + 45/140 =
-9/140
c) A = [1/2 - (1 + 1/2)²] . (2 - 2/3) B = 5/7 : [2 - (2/3 + 3)]
A = [1/2 - (3/2)²] . 4/3 B = 5/7 : [2 - 12/3]
A = [1/2 - 9/4] . 4/3 B = 5/7 : -6/3
Eliminando os colchetes: mmc(2,4) = 4 B = 5/7 . -3/6
A = [2.1/4 - 1.9/4] . 4/3 B = - 15/42 (:3)
A = [2/4 - 9/4] . 4/3 B = - 5/14
A = - 7/4 . 4/3
A = - 28/12 (:4)
A = - 7/3
Calculando A. B
-7/3 . -5/14 = 35/42
d) [(-1/2)^4 : (-1/2)³] . (-1/2)^6 + 2^-7 =
[1/16 : -1/8] . 1/64 + 1/128 =
[1/16 . -8] . 1/64 + 1/128 =
- 8/16. 1/64 + 1/128 =
- 8/1024 + 1/128 = mmc(1024,128) = 1024
1.-8/1024 + 8.1/1024 =
-8/1024 + 8/1024 =
0
e) (-1 + 1/5)² : (0,4 - 1/5)² - 0,7.√36/49 =
(-4/5)² : (4/10 - 1/5)² - 7/10 . 6/7 = mmc(10,5) = 10
16/25 : (1.4/10 - 2.1/10)² - 42/70 =
16/25 : (4/10 - 2/10)² - 42/70 =
16/25 : (2/10)² - 42/70 =
16/25 : 4/100 - 42/70 =
16/25 . 100/4 - 42/70 =
1600/100 - 42/70 = mmc(100,70) = 700
7.1600/700 - 10.42/700 =
11200/700 - 420/700 =
10780/700 = (:20)
539/35
f) 1/2 - 0,8 + 3/4 - √1/4 =
1/2 - 8/10 + 3/4 - 1/2 = mmc(2,10,4) = 20
10.1/20 - 2.8/20 + 5.3/20 - 10.1/20 =
10/20 - 16/20 + 15/20 - 10/20 =
- 1/20