Question

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determine as somas algebricas

a)28+(-37+60-26)

b)120-(47+158-31)

c)53+(-20+8)-(-40+51)

d)108-(90+60)-(-110+20)

e)95-(28-17-33)+(-110+6)

f)21-[-17+(19-4)+12[

g)39+[-10-(+32-10-8)+9[

h)37+[-25-(-11+19-4)[

i)6-{-9+[-1+14-(8+17-12)[{

Answer 1

a)
= 28+(-37+60-26)
= 28 + ( 60 - 37 - 26)
= 28 + (60 - 63)
= 28 + (-3)
= 28 - 3
= 25

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
b)
= 120 - (47 + 158 - 31)
= 120 - (205 - 31)
= 120 - (174)
= 120 - 174
= - 54


¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
c)
= 53 + (- 20 + 8) - (- 40 + 51)
= 53 + ( - 12) - ( 11)
= 53 - 12 - 11
= 53 - 23
= 30

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
d)
= 108 - (90 + 60) - (- 110 + 20)
= 108 - (150) - ( - 90)
= 108 - 150 + 90
= 108 + 90 - 150
= 108 - 60
= 48
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
e)
= 95 - (28 - 17 - 33) + (- 110 + 6)
= 95 - (11 - 33) + ( - 104)
= 95 - ( - 22) - 104
= 95 + 22 - 104
= 117 - 104
= 13

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f)
= 21 - [ - 17 + (19 - 4) + 12]
= 21 - [ - 17 + 15 + 12]
= 21 - [ - 17 + 27]
= 21 - [ 10]
= 21 - 10
= 11

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g)
= 39 + [ - 10 - (+ 32 - 10 - 8) + 9]
= 39 + [ - 10 - (32 - 18) + 9]
= 39 + [ - 10 - ( 14) + 9]
= 39 + [ - 10 - 14 + 9]
= 39 + [ - 24 + 9]
= 39 + [ - 15]
= 39 - 15
= 24

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h)
= 37 + [ - 25 - ( - 11 + 19 - 4)]
= 37 + [ - 25 - ( - 11 + 15)]
= 37 + [ - 25 - ( 4)]
= 37 + [ - 25 - 4]
= 37 + [ - 29]
= 37 - 29
= 8
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i)
=  6 - { - 9 + [ - 1 + 14 - (8 + 17 - 12)]}
= 6 - { - 9 + [ 13 - (25 - 12)]}
= 6 - { - 9 + [ 13 - (13)]}
= 6 - { - 9 + [ 13 - 13]}
= 6 - { - 9 + 0}
= 6 + 9
= 15