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\(P=\dfrac{32}{64}\cdot\dfrac{-57}{19}+\dfrac{35}{21}\cdot\dfrac{22}{44}=\dfrac{1}{2}\left(-3+\dfrac{5}{3}\right)=\dfrac{1}{2}\cdot\dfrac{-4}{3}=\dfrac{-2}{3}\)
\(Q=\dfrac{75}{125}\cdot\dfrac{82}{164}+\dfrac{49}{98}\cdot\dfrac{-35}{105}=\dfrac{1}{2}\left(\dfrac{3}{5}-\dfrac{1}{3}\right)=\dfrac{1}{2}\cdot\dfrac{4}{15}=\dfrac{2}{15}\)
Bài 2: Tính nhanh
a) 29 + 132 + 237 + 868 + 3
= 29+(132+858)+(237+3)
=29+990+240
=1259
a) 463+318+137+22
= (463+137)+(318+22)
= 600+340
= 940
b) 185.32-32.85
= 32.(185-85)
= 32 . 100
= 3200
c) \(15:\left\{390:\left[500-\left(125+35.7\right)\right]\right\}\)
\(\text{= }15:\left\{390:\left[500-\left(125+245\right)\right]\right\}\)
\(\text{= }15:\left\{390:\left[500-370\right]\right\}\)
\(=15:\left(390:130\right)\)
\(\text{= }15:3\)
\(\text{= }5\)
a)\(463+318+137+22\)
\(=\left(463+137\right)+\left(318+22\right)\)
\(=600+340=940\)
b)\(185.3^2-3^2.85\)
\(=3^2.\left(185-85\right)\)
\(=9.100=900\)
c)\(15:\left\{390:\left[500-\left(125+35.7\right)\right]\right\}\)
\(=15:\left\{390:\left[500-\left(125+245\right)\right]\right\}\)
\(=15:\left\{390:\left[500-370\right]\right\}\)
\(=15:\left\{390:130\right\}\)
\(=15:3=5\)
a, 35.34 + 35.86 + 65.75 + 65.45
= 35.(34 + 86) + 65.(75 + 45)
= 35.120 + 65.120
= 120.(35+65)
= 120.100
= 12000
b, \(7.5^2-32:2^3+9\)
= 7.25 - 32:8 + 9
= 175 - 4 + 9
= 180
45-58+(-45)+(+58)-3=45-58-45+58-3=(45-45)+(58-58)-3=-3
(-57)-(-12)+3-(-57)=-57+12+3+57=(-57+57)+12+3=15
-(-24)-(-30)+(-24)-30+8=24+30-24-30+8=(24-24)+(30-30)+8=8
-(-12)+(+19)-(+12)+8-19=12+19-12+8-19=(12-12)+(19-19)+8=8
47-(-53)+(-47)-(+53)=47+53-47-53=(47-47)+(53-53)=0
-(+28)+32-(-28)+(-34)=-28+32+28-34=(-28+28)-(34-32)=-2
15-(+72)+(-15)+(+72)=15-72-15+72=(15-15)+(72-72)=0
20-(+46)+(-25)-(-46)=20-46-25+46=(20-25)+(46-46)=-5
28-(-32)+(-28)-32+5=28+32-28-32+5=(28-28)+(32-32)+5=5
-75+(-49)+(+75)+49-12=-75-49+75+49-12=(-75+75)+(49-49)-12=-12
\(...=45-58-45+58-3=-3\)
\(...=-57+12+3+57=15\)
\(...=24+30-24-30+8=8\)
\(...=12+19-12+8-19=8\)
\(...=47+53-47-53=0\)
\(...=-28+32+28-34=-2\)
\(...=15-72-15+72=0\)
\(...=20-46-25+46=-5\)
\(=...28+32-28-32+5=5\)
\(...=-75-49+75+49-12=-12\)
b) 36 : 3 2 + 3 2 . 2 3 -150
= 36 : 9 + 9 . 8 – 1 = 4 + 72 – 1 = 76 – 1 = 75
a) 82-32:46
= 64-25:(22)6
= 64-25:212
= 64-2-7
= 64-\(\dfrac{1}{2^7}\)
b) 22.3-(110+8):32
= 4.3-9:9
= 12-1=11