Question

Calcule o valor de cada expressão a seguir:

a) 40 + 5 . [ (2 . 2 + 1)2 - (62 : 4 + 5)]

b) 25 - 2 . {43 : [(3 + 1 . 2)2 + 7]}

c) 43 - [30 + 22 . (6 : 2 + 1)] . 2

d) 3 + 2 . [(62 - 3 . 23) + (15 : 5 - 2)3

e) 7 + 3 . [(1 + 2 . 3)2 - (25 : 4 + 22)]

Answer 1

Resposta:

a) -12,5

b) 339/17 ou 19,941...

c) -193

d) -33

e) -35,75

Explicação passo-a-passo:

a) 40 + 5 . [ ( 2 . 2 + 1 ) . 2 - ( 62 : 4 + 5 )]

= 40 + 5 . [ ( 4 + 1 ) . 2 - ( 62 : 4 + 5 )]

= 40 + 5 . [ ( 4 + 1 ) . 2 - ( 15,5 + 5 )]

= 40 + 5 . [ ( 5 ) . 2 - ( 20,5 )]

= 40 + 5 . [ 10 - ( 20,5 )]

= 40 + 5 . [ -10,5 ]

= 40 + [ -52,5 ]

= -12,5

b) 25 - 2 . { 43 : [( 3 + 1 .  2 ) . 2 + 7 ]}

= 25 - 2 . { 43 : [( 3 + 2 ) . 2 + 7 ]}

= 25 - 2 . { 43 : [( 5 ) . 2 + 7 ]}

= 25 - 2 . { 43 : [ 10 + 7 ]}

= 25 - 2 . { 43 : [ 17 ]}

= 25 - 86/17

= 339/17

= 19,941...

c) 43 - [ 30 + 22 . ( 6 : 2 + 1 )] . 2

= 43 - [ 30 + 22 . ( 3 + 1 )] . 2

= 43 - [ 30 + 22 . ( 4 )] . 2

= 43 - [ 30 + 88 ] . 2

= 43 - [ 118 ] . 2

= 43 - 236

= -193

d) 3 + 2 . [( 62 - 3 . 23 ) + ( 15 : 5 - 2 )] . 3

= 3 + 2 . [( 62 - 69 ) + ( 15 : 5 - 2 )] . 3

= 3 + 2 . [( 62 - 69 ) + ( 3 - 2 )] . 3

= 3 + 2 . [( -7 ) + ( 3 - 2 )] . 3

= 3 + 2 . [( -7 ) + ( 1 )] . 3  

= 3 + 2 . [ -6 ] . 3

= 3 + ( -12 ) . 3

= 3 + ( -36 )

= -33

e) 7 + 3 . [( 1 + 2 . 3 ) . 2 - ( 25 : 4 + 22 )]

= 7 + 3 . [( 1 + 6 ) . 2 - ( 25 : 4 + 22 )]

= 7 + 3 . [( 1 + 6 ) . 2 - ( 6,25 + 22 )]

= 7 + 3 . [( 7 ) . 2 - ( 6,25 + 22 )]

= 7 + 3 . [( 7 ) . 2 - ( 28,25 )]

= 7 + 3 . [ 14 - ( 28,25 )]

= 7 + 3 . [ -14,25 ]

= 7 + ( -42,75 )

= -35,75