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Lời giải:
a. $=-(37+63)+[25+(-25)]+(-9)=-100+0+(-9)=-(100+9)=-109$
b. $=[1+(-3)]+[5+(-7)]+....+[21+(-23)]$
$=\underbrace{(-2)+(-2)+....+(-2)}_{6}=(-2).6=-12$
c. $=-(280+20)+[-(79+21)]=-300+(-100)=-(300+100)=-400$
d. $=[-(27+43)]+[-(208+102)]=-70+(-310)=-(70+310)=-380$
e. $=(38+120)-(12+46)=158-58=100$
f. $=9+15+11+24=(9+11)+(15+24)=20+39=59$
1. \(\left(387-41\right)-\left(81+13\right)\)
\(=346-94=252\)
2. \(\left(83+81\right)-\left(81+13\right)\)
\(=83+81-81-13\)
\(=70\)
3. \(281-\left(-37\right)+83-181\)
\(=281-181+37+83\)
\(=100+120=220\)
4. \(87-\left(-13\right)+\left(-21\right)-79\)
\(=87+13-21-79\)
\(=100-100=0\)
5. \(\left(-172\right)+\left(-43\right)+72-57\)
\(=-172+72-43-57\)
\(=-100-100=-200\)
a) (-4)² + 21 + 2x = 3⁶ : 3³
16 + 21 + 2x = 3³
37 + 2x = 27
2x = 27 - 37
2x = -10
x = -10 : 2
x = -5
b) 8 - 2x = -12
2x = 8 - (-12)
2x = 20
x = 20 : 2
x = 10
c) (79 + x) - 43 = -(17 - 55)
79 + x - 43 = 38
36 + x = 38
x = 38 - 36
x = 2
a) \(x+5=20-\left(12-7\right)\)
\(\Rightarrow x+5=20-5\)
\(\Rightarrow x+5=15\)
\(\Rightarrow x=15-5\)
\(\Rightarrow x=10\)
b) \(15-\left(3+2x\right)=2^2\)
\(\Rightarrow3+2x=15-4\)
\(\Rightarrow3+2x=11\)
\(\Rightarrow2x=11-3\)
\(\Rightarrow2x=8\)
\(\Rightarrow x=\dfrac{8}{2}\)
\(\Rightarrow x=4\)
c) \(-11-\left(19-x\right)=50\)
\(\Rightarrow19-x=-11-50\)
\(\Rightarrow19-x=-61\)
\(\Rightarrow x=61+19\)
\(\Rightarrow x=80\)
d) \(159-\left(25-x\right)=43\)
\(\Rightarrow25-x=159-43\)
\(\Rightarrow25-x=116\)
\(\Rightarrow x=25-116\)
\(\Rightarrow x=-91\)
e) \(\left(79-x\right)-43=-\left(17-52\right)\)
\(\Rightarrow\left(79-x\right)-43=52-17\)
\(\Rightarrow79-x-43=35\)
\(\Rightarrow36-x=35\)
\(\Rightarrow x=1\)
f) \(\left(7+x\right)-\left(21-13\right)=32\)
\(\Rightarrow7+x-8=32\)
\(\Rightarrow x-1=32\)
\(\Rightarrow x=32+1\)
\(\Rightarrow x=33\)
g) \(-x+20=-15+8+13\)
\(\Rightarrow-x+20=6\)
\(\Rightarrow x=20-6\)
\(\Rightarrow x=14\)
h) \(-\left(-x+13-142\right)+18=55\)
\(\Rightarrow x-13+142+18=55\)
\(\Rightarrow x+147=55\)
\(\Rightarrow x=55-147\)
\(\Rightarrow x=-92\)
( 36 + 79 ) + ( 145 - 79 - 36 )
= 115 + ( 66 - 36 )
= 115 + 30
= 145
10 - [ 12 - ( - 9 - 1 ) ]
= 10 - [ 12 - ( - 10 ) ]
= 10 - 22
= - 12
( 38 - 29 + 43 ) - ( 43 + 38 )
= ( 9 + 43 ) - 81
= 52 - 81
= - 29
271 - [ ( 43 ) + 271 - ( - 17 ) ]
= 271 - [ 314 - ( - 17 ) ]
= 271 - 331
= - 60
- 144 - [ 29 - ( + 144 ) - ( + 144 ) ]
= - 144 - [ ( - 115 ) - ( + 144 ) ]
= - 144 - ( - 259 )
= 115
(36+79)+(145-79-36)
=115+30
=145
10-[12-(-9-1)]
=10-22
=-12
(38-29+43)-(43+38)
=52-81
=(-29)
271-[(43)+271-(17)]
=271-297
=(-26)
-144-[29-(+144)-(+144)
=-144-(-259)
=115
f,(36+79)+(145-79-36)
=36+79+145-79-36
=(36-36)+(79-79)+145
=0+0+145
=145
g,10-[12-(-9-1)]
=10-(12+9+1)
=10-(12+10)
=10-12-10
=(10-10)-12
=0-12
=-12
h,(38-29+43)-(43+38)
=38-29+43-43-38
=(38-38)-29+(43-43)
=0-29+0
=-29
i,271-[(-43)+271-(-17)]
=271-(-43+271+17)
=271+43-271-17
=(271-271)+(43-17)
=0+26
=26
k,-144-[29-(+144)-(+144)]
=-144-(29-144-144)
=-144-29+144+144
=(-144+144)-29+144
=0-29+144
=-29+144
=115
-57
=-100+43
=-57