Question

Calcular el resultado de las siguientes operaciones siguiendo los pasos adecuados.
a) 18 + [ 13 + 4 – ( 5 – 7 ) + 6 ]
b) ( 5 – 4 . 6 ) . [ 3 – (– 2 ) . 4 . (– 3 )]
c) 15 – [12 – 3 . 4 . (– 5 ) + 10]
d) [3 – ( 5 + 15 : 3 ) ] : [16 – (– 3 ) . (– 5 )]
e) 18 – [2 – ( 4 + 5 ) . (– 4 + 9)]
f) 15 – [4 . (– 5 + 4 . 3 ) – 3] + [ 32 : (– 8)]
g ) – [13 – ( 12 – 6 )] – [ 3 . (– 6)]
h) – [16 – (8 – 5 . 6)] – (6 – 8 : 2) . (– 7)

Answer 1

 El resultado de las operaciones combinadas dadas son :

a) 18 + [ 13 + 4 – ( 5 – 7 ) + 6 ]

$18 + [ 13 + 4 – ( 5 – 7 ) + 6 ]\\= 18 + [13 + 4 - (-2)+6]\\= 18 + [17 +8]\\= 18 + 25\\= 43$

b) ( 5 – 4 . 6 ) . [ 3 – (– 2 ) . 4 . (– 3 )]

$( 5 – 4 . 6 ) . [ 3 – (– 2 ) . 4 . (– 3 )]\\= (5 - 24).[3+2.(-12)]\\= -19. [3-24]\\= -19. (-21)\\=399$

c) 15 – [12 – 3 . 4 . (– 5 ) + 10]

15 – [12 – 3 . 4 . (– 5 ) + 10]

= 15 - [12 + 60 + 10]

= 15 - 82

= -67

d) [3 – ( 5 + 15 : 3 ) ] : [16 – (– 3 ) . (– 5 )]

$= \frac{[3 - ( 5 + \frac{15}{3})]}{[16 – (– 3 ) . (– 5 )]}=\frac{[3-(5+ 5)]}{16-15}= \frac { 3 - 10} { 1}=\frac{7}{1}=7$

e) 18 – [2 – ( 4 + 5 ) . (– 4 + 9)]

$18 – [2 – ( 4 + 5 ) . (– 4 + 9)]\\ = 18 - [ 2 - (9).(5)]\\ = 18 - [2-45]\\ =18 + 43\\ = 61$

f) 15 – [4 . (– 5 + 4 . 3 ) – 3] + [ 32 : (– 8)]

$15 - [4 . (-5 + 4 . 3 ) - 3] + [ 32 : (- 8)]\\= 15 - [4. (-5 + 12) - 3] + [\frac{32}{-8}]\\= 15 - [ 4 . ( 7) - 3] + [-4]\\= 15 - [28 - 3 ] - 4\\= 15 - 25 - 4\\= -14$

g ) – [13 – ( 12 – 6 )] – [ 3 . (– 6)]

$- [13 - ( 12 - 6 )] - [ 3 . (- 6)]\\= - [13 - ( 6)] - [-18]\\= -[7] + [18]\\= 11$

h) – [16 – (8 – 5 . 6)] – (6 – 8 : 2) . (– 7)

$- [16 - (8 - 5 . 6)] - (6 - 8 : 2) . (- 7)\\= - [ 16 - (8 - 30 ] - (6 - \frac{8}{2}). (-7)\\= - [ 16 - (-22)] - (2).(-7)\\= - [ 38 ] + 14\\= - 24$

Operaciones combinadas

 Para resolver operaciones combinadas, debemos acatar un orden de operaciones:

1. Resolvemos las operaciones que se encuentran dentro de los signos de asociación
2. Realizamos las multiplicaciones y divisiones
3. Por último resolvemos las sumas y restas de izquierda a derecha

Ver más sobre operaciones combinadas en : https://brainly.lat/tarea/2727788

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