Question

Calcule o valor das expressões:

a) 2+8-3-5+15
b)12+[35-(10+2)+2]
c)[(18+3×2)÷8+5×3]÷6
d)37+[-25-(-11+19-4)]
e)60÷{2×[-7+18÷(-3+12)]}-[7×(-3)-18÷(-2)+1]
f)-8+{-5+[(8-12)+(13+12)]-10}
g)3-{2+(11-15)-[5+(-3+1)]+8}
h)[-1+(22-5×6)]÷(-5+2)+1
i)[10-(24-8)×2-24]÷[22-(-3+2)]
j){[(8×4+3)÷7+(3+15÷5)×3]×2-(19-7)÷6}×2+12

Answer 1

a)
= 2 + 8 - 3 - 5 + 15
=  10 - 8 + 15
= 2 + 15
= 17

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b)
= 12 + [35 - (10 + 2) + 2]
= 12 + [35 - (12) + 2 ]
= 12 + [ 35 - 12 + 2]
= 12 + [ 35 - 10]
= 12 + 25
= 37

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c)
= [(18 + 3 × 2) ÷ 8 + 5 × 3] ÷ 6
= [ (18 + 6) : 8 + 15] : 6
= [ 24 : 8 + 15] : 6
= [ 3 + 15] : 6
= 18 : 6
= 3

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d)
= 37 + [ - 25 - ( - 11 + 19 - 4)]
= 37 + [ - 25 - ( - 11 + 15)]
= 37 + [ - 25 - ( 4)]
= 37 + [ - 25 - 4]
= 37 - 29
= 8

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e)
= 60 ÷ {2 × [ - 7 + 18 ÷ (- 3 + 12)]} - [7 × (- 3) - 18 ÷ (- 2) + 1]
= 60 : { 2 . [ - 7 + 18 : ( 9)]} - [ - 21 + 9 + 1]
= 60 : { 2 . [ - 7 + 2]} - [ - 21 + 10]
= 60 : { 2 . [ - 5]} - [ - 11]
= 60 : { - 10} + 11
= - 6 +11
= 5

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f)
= - 8 + { - 5 + [(8 - 12) + (13 + 12)] - 10}
= - 8 + { - 5 + [ - 4 + 25] - 10}
= - 8 + { - 5 + 21 - 10}
= - 8 + { 16 - 10}
= - 8 + 6
= - 2

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g)
= 3 - {2 + (11 - 15) - [5 + ( - 3 + 1)] + 8}
= 3 - { 2 + ( - 4) - [ 5 + ( - 2)] + 8}
= 3 - { 2 - 4 - [ 5 - 2] + 8}
= 3 - { 2 - 4 - [ 3] + 8}
= 3 - { - 2 - 3 + 8}
= 3 - { - 5 + 8}
= 3 - { 3}
= 3 - 3
= 0

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h)
= [ - 1 + (22 - 5 × 6)] ÷ (- 5 + 2) + 1
= [ - 1 + (22 - 30)] : ( - 3) + 1
= [ - 1 + ( - 8)] : (-3) + 1
= [ - 1 - 8] : (- 3) + 1
=[- 9] : (-3) + 1
= + 3 + 1
= 4

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i)
= [10 - (24 - 8) × 2 - 24] ÷ [22 - (- 3 + 2)]
= [10 - ( 16) . 2 - 24] : [ 22 - ( - 1)]
= [10 - 32 - 24] : [ 22 + 1]
= [10 - 56] : 23
= [- 46] : 23
= - 2
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j)
= {[(8 × 4 + 3) ÷ 7 + (3 + 15 ÷ 5) × 3] × 2 - (19 - 7) ÷ 6} × 2 + 12
= {[(32 + 3) : 7 + ( 3 + 3) . 3] . 2 - (12): 6} . 2 + 12
= {[ 35 : 7 + 6.3] . 2 - 2} . 2 + 12
= {[ 5 + 18].2 - 2} . 2 + 12
= { 23.2 - 2} . 2 + 12
= {[46 - 2} . 2 + 12
={ 44}.2 + 12
= 88 + 12
= 100