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a) 145 + 43 + (-145) + 57
= [145 + (-145)] + (43 + 57)
= 0 + 100
= 100
b) (-132) + 101 + (-777) + 99
= (-132) + (-777) + ( 101 + 99 )
= -909 + 200
= 709
c) 1883 - (12345 + 883) +5
= 1883 - ( 1000 + 883 ) + 5 + 11345
= (1883 - 1883) + 11350
= 0 + 11350
= 11350
d) [53 + (-76)]-[-76-(-53)]
= 53 - 76 + 76 - 53
= ( 53 - 53 ) - ( 76 - 76 )
= 0 - 0
= 0
e) (-125) x 2 x 45 x (-8) x 50
= (-125) x (-8) x 2 x 50 x 45
= 1000 x 10 x 45
= 450000
g) 87 x (-129) + 129 x (-13)
= (-87) x 129 + 129 x (-13)
= 129 x ( -87 - 13 )
= 129 x (-100)
= -12900
1: =-3x5+2x5-7x5+7x4=-8x5+7x4=-40+28=-12
2: =-3x5+3x6-4x3+4x2=-9+8=-1
3: =17(-84-16)=-1700
4: =1975(-115+15)=-197500
5: =-145x13+145x57+57x10-57x145=-1315
1/ \(5\left(-3+2\right)-7\left(5-4\right)\)
\(=5.\left(-3\right)+5.2-7.5-7.\left(-4\right)\)
\(=-15+10-35+28\)
\(=-5-7\)
\(=-12\)
2/ \(3.\left(-5+6\right)-4.\left(3-2\right)\)
\(=3.\left(-5\right)+3.6-4.3-4.\left(-2\right)\)
\(=-15+18-12+8\)
\(=3-4\)
\(=-1\)
3/ \(17.\left(-84\right)+17.\left(-16\right)\)
\(=17.\left(-84-16\right)\)
\(=17.\left(-100\right)\)
\(=-1700\)
4/ \(1975.\left(-115\right)+1975.15\)
\(=1975.\left(-115+15\right)\)
\(=1975.\left(-100\right)\)
\(=-197500\)
5/ \(-145.\left(13-57\right)+57.\left(10-145\right)\)
\(=-145.13-145.\left(-57\right)+57.10+57.\left(-145\right)\)
\(=-145.\left(-57+57\right)-145.13+57.10\)
\(=0-1885+570\)
\(=-1315\)
6/ \(157.17-157.7\)
\(=157.\left(17-7\right)\)
\(=157.10\)
\(=1570\)
7/ \(199.\left(15-17\right)-199.\left(-17+5\right)\)
\(=199.\left(-2\right)-199.\left(-12\right)\)
\(=199.\left(-2\right)+199.12\)
\(=199.\left(-2+12\right)\)
\(=199.10\)
\(=1990\)
8/ \(-39.\left(5-99\right)+99.\left(10-39\right)\)
\(=-39.5-39.\left(-99\right)+99.10+99.\left(-39\right)\)
\(=-39.\left(-99+99\right)-39.5+99.10\)
\(=0-195+990\)
\(=795\)
9/ \(-38.\left(25-4\right)+25.\left(-4+38\right)\)
\(=-38.25-38.\left(-4\right)+25.\left(-4\right)+25.38\)
\(=25.\left(-38+38\right)-4.\left(-38+25\right)\)
\(=0-4.\left(-13\right)\)
\(=52\)
10/ \(\left(-37\right).86+37.76\)
\(=37.\left(-86\right)+37.76\)
\(=37.\left(-86+76\right)\)
\(=37.\left(-10\right)\)
\(=-370\)
1; - 7264 + (1543 + 7264)
= - 7264 + 1543 + 7264
= (-7264 + 7264) + 1543
= 0 + 1543
= 1543
2; (14497) - 144
= 14497 - 144
= 14353
3; (-145).(18145)
= -145.18145
= -2631025
4; 111 + (-11 + 27)
= 111 + 16
= 127
\(\dfrac{11}{6}+\dfrac{1}{4}=\dfrac{22}{12}+\dfrac{3}{12}=\dfrac{25}{12}\)
\(\dfrac{2}{5}-\dfrac{3}{8}=\dfrac{16}{40}-\dfrac{15}{40}=\dfrac{1}{40}\)
\(\dfrac{3}{10}-\dfrac{4}{15}=\dfrac{9}{30}-\dfrac{8}{30}=\dfrac{1}{30}\)
\(3+\dfrac{2}{5}=\dfrac{15}{5}+\dfrac{2}{5}=\dfrac{17}{5}\)
\(\dfrac{333}{777}+\dfrac{22}{55}=\dfrac{3}{7}+\dfrac{2}{5}=\dfrac{15}{35}+\dfrac{14}{35}=\dfrac{29}{35}\)
1)-7264+(1543+7264)=-7264+1543+7264=1543
2)(144-97)-144=144-97-144=-97
3)(-145)-(18-145)=-145-18+145=-18
4)111+(-11+27)=111-11+27=100+27=127
5)(27+514)-(486-73)=27+514-486-73=541-486-73=55-73=-18
6)(36+79)+(145-79-36)=36+79+145-79-36=145
7)10-[12-(-9-1)]=10-[12+9+1]=10-12-9-1=-12
8)(38-29+43)-(43+38)=38-29+43-43-38=-29
9)271-[(-43)+271-(-17)]=271-[-43+271+17]=271+43-271-17=43-17=26
10)-144-[29-(+144)-(+144)]=-144-[29-144-144]=-144-29+144+144=-29+144=115
a: \(145+43+\left(-145\right)+57\)
\(=\left(145-145\right)+\left(43+57\right)\)
=0+100
=100
b: \(\left(-123\right)+101+\left(-777\right)+99\)
\(=\left(-123-777\right)+\left(101+99\right)\)
=-900+200
=-700
c: \(\left(-8955\right)+33+\left(-45\right)+\left(-133\right)\)
\(=\left(-8955-45\right)+\left(33-133\right)\)
\(=\left(-9000\right)+\left(-100\right)=-9100\)
d: \(\left(-2\right)+\left(-4\right)+\left(-6\right)+\left(-8\right)+\left(-10\right)+8+10+12\)
\(=\left(12-2\right)+\left(-4-6\right)+\left(-8+8\right)+\left(-10+10\right)\)
=10-10+0+0
=0