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a) \(-75+\left(-325\right)+\left|-45\right|-\left(-125\right)\)
\(=-75-325+45+125\)
\(=\left(45+125\right)-\left(75+325\right)\)
\(=170-400\)
\(=-230\)
b) \(62+\left|128\right|-\left|-155\right|-\left|70\right|\)
\(=62+128-155-70\)
\(\Leftrightarrow190-225\)
\(=-35\)
c) \(815+\left[95+\left(-815\right)+\left(-45\right)\right]\)
\(=815+95-815-45\)
\(=\left(815-815\right)+\left(95-45\right)\)
\(=0+50\)
\(=50\)
d) \(5+\left(-7\right)+9+\left(-11\right)+...+25+\left(-27\right)\)
\(=\left(5-7\right)+\left(9-11\right)+...+\left(25-27\right)\)
\(=-2-2-...-2\)
\(=-2.11\)
\(=-22\)
e) \(34+35+36+37-24-25-26-27\)
\(=\left(34-24\right)+\left(35-25\right)+\left(36-26\right)+\left(37-27\right)\)
\(=10+10+10+10\)
\(=40\)
a) -(-27-y)=18-(-7)
27+y=18+7
27+y=25
y=25-17
y=-2
b) -(-y-28)-(-11+5)=(-13)-28
y+28+11-5=-41
y+39=-41+5
y=-36-39
y=-75
c) y-(25+37)-(13+26)=-(-42)-142
y-62-39=42-142
y-101=-100
y=-100+101
y=1
d) -(-315-y)-(-122)=-(-25-125)
315+y+122=25+125
437+y=150
y=150-437
y=-287
a) - ( 231 + 16 - 75 ) + ( 25 - 9 )
= - 231 - 16 + 75 + 25 - 9
= - 247 + 100 - 9
= -147 - 9
= -156
b) - ( - 231 + 17 ) - ( 54 + 23 )
= 231 + 17 - 54 - 23
= 248 - 31
= 217
c) - [ ( - 25 ) - 7 + ( 8 - 16 ) ] - [ ( - 21 + 3 ) - 7 ]
= - [-32 + (-8) ] - [ -18 - 7]
= - (-40) - (-25)
= 40 + 25
= 65
d) - ( - a - b - c ) + ( - c - b + a )
= a + b + c - c - b + a
= a+ b + 0 - b + a
= a + a + b - b
= a + a + 0
= 2a
e) ( - 26 ) - [ - ( 18 - 6 + 7 ) + ( 8 - 9 ) ]
= -26 - [ -18 + 6 - 7 + 8 - 9]
= -26 - (-20)
= -26 + 20
= -6
Bài 2. Tính nhanh
a) 27 + (-2019) + (-27)
= 27 -2019 -27
=(27 - 27) -2019
=0-2019
= -2019
d) (-102) – (345 – 102)
= -102 - 345 +102
= (102 - 102) -345
= 0-345
= -345
b) (-10) + 23 + (-20) + 30
= -10 +23-20+30
= -(10+20) +23 +30
= -30 +23 +30
= (30-30) +23
= 0 +23
= 23
e) (12 + 34 – 56) – (12 – 56)
= 12 +34 -56 -12 +56
= (12-12) + (56-56) +34
= 0+0 +34
= 34
c) (-2).125.(-5).(-8).(+17)
=[(-2) . (-5)] . [ 125.(-8)] . (+17)
= 10 . (-1000).(+17)
= - 10000 . 17
= - 170000
f) 37.(-345) – 345.(-47)
= -345 . (37-47)
= -345.(-10)
=3450
a. ( - 57 ) . ( 67 - 34 ) - 67 . (34 -57 )
= - 57 . 67 - ( - 57 ) . 34 - 67 . 34 - 67 . 57
= 57 . ( 67 - 67 ) + 34 . ( 67 - 57 )
= 57 . 0 + 34 . 10
= 0 + 340
= 340
a) (-25) + (-125) = -150
b) (-213) + (-27) = -240
c) (-26) + 78 = 52
d) 52 + (-102) = 50
e) (-37) + 84 = 47
f) (-723) + 23 = -700
a) = 150
b) = -240
c) = 52
d) = 50
e) = 47
f) = -700
Học tốt!!!