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a: \(5\cdot11\cdot18+9\cdot31\cdot10+4\cdot29\cdot45\)
\(=11\cdot\left(5\cdot18\right)+31\cdot\left(9\cdot10\right)+29\cdot2\cdot\left(2\cdot45\right)\)
\(=90\left(11+31+29\cdot2\right)\)
\(=90\cdot100=9000\)
b: \(37\cdot39+78\cdot14+13\cdot85+52\cdot55\)
\(=37\cdot39+39\cdot2\cdot14+13\cdot85+13\cdot4\cdot55\)
\(=39\left(37+2\cdot14\right)+13\cdot\left(85+4\cdot55\right)\)
\(=39\cdot65+13\cdot305\)
\(=13\left(65\cdot3+305\right)=13\cdot500=6500\)
a)
5.11.18+9.31.10+4.29.455.11.18+9.31.10+4.29.45
=90.11+90.31+2.29.90=90.11+90.31+2.29.90
=90.(11+31+2.29)=90.(11+31+2.29)
=90.100=9000
b)
37.39+78.14+13.85+52.5537.39+78.14+13.85+52.55
=37.39+39.2.14+13.5.17+13.4.5.11=37.39+39.2.14+13.5.17+13.4.5.11
=39.(37+2.14)+65.17+65.44=39.(37+2.14)+65.17+65.44
=39.65+65.(17+44)=39.65+65.(17+44)
=39.65+65.61=39.65+65.61
=65.(39+61)=65.(39+61)
=65.100=6500
a)
5.11.18+9.31.10+4.29.455.11.18+9.31.10+4.29.45
=90.11+90.31+2.29.90=90.11+90.31+2.29.90
=90.(11+31+2.29)=90.(11+31+2.29)
=90.100=9000
b)
37.39+78.14+13.85+52.5537.39+78.14+13.85+52.55
=37.39+39.2.14+13.5.17+13.4.5.11=37.39+39.2.14+13.5.17+13.4.5.11
=39.(37+2.14)+65.17+65.44=39.(37+2.14)+65.17+65.44
=39.65+65.(17+44)=39.65+65.(17+44)
=39.65+65.61=39.65+65.61
=65.(39+61)=65.(39+61)
=65.100=6500
a.(5.18).11+(9.10).31+2.2.29.45
=90.11+90.31+(2.45).2.29
=90.11+90.31+90.2.29
=90.(11+31+2.29)
=90.100
=9000
a) \(39\times118+29\times82\)
\(=39\times2\times59+29\times2\times41\)
\(=2\times\left(39\times59+29\times41\right)\)
\(=2\times\left(2301+1189\right)\)
\(=2\times3490\)
\(=6980\)
b) \(37\times39+78\times14-13\times85-52\times55\)
\(=37\times3\times13+6\times13\times14+13\times85-4\times13\times55\)
\(=13\times\left(37\times3+6\times14+85-4\times55\right)\)
\(=13\times\left(111+84+85-220\right)\)
\(=13\times\left(280-220\right)\)
\(=13\times60\)
\(=780\)
c) \(368:16+752:16+480:16\)
\(=\left(368+752+480\right):16\)
\(=\left(1120+480\right):16\)
\(=1600:16\)
\(=100\)
d) \(5\times11\times18+9\times31\times10+4\times29\times45\)
\(=5\times11\times9\times2+9\times31\times10+2\times2\times29\times5\times9\)
\(=10\times9\times11+10\times9\times31+10\times29\times2\times9\)
\(=90\times11+90\times31+90\times29\times2\)
\(=90\times\left(11+31+29\times2\right)\)
\(=90\times\left(42+58\right)\)
\(=90\times100\)
\(=9000\)
1, -55 . 78 + ( -13 ) . 78 - 78 . ( -65 )
= 78 . ( -55 - 13 - 65 )
= 78 . ( -133 )
= -10374
Còn lại tự làm
\(1,-55.78+13\cdot\left(-78\right)-78.\left(-65\right)=78\left(-55-13-65\right)=78.\)
a) -132 + (176+132)
= -132+176+132
= -132+132+176
=0+176
= 176
b) 25. (-5).4.(-8)
= (25.4).[-5.(-8)]
= 100 . 40
= 4000
c) -37.52+37. (-48)
= -37.52+(-37).48
= -37.(52+48)
= -37.100
= -3700
d) 54 - 8.(6-23)
= 54 - 8. (-17)
= 54 - (-136)
= 54 + 136
= 190
e) -85 . 13 + 85 . 113
= 85 . (-13) + 85 . 113
= 85. (-13 + 113)
= 85.100
= 8500
f)2008-(107+2008)-75
= 2008 - 107 - 2008 - 75
= 2008 - 2008 - 107 - 75
= -107 - 75
= -182
a, 15.27 - 3.5.17
= 15.27 - 15. 17
= 15 . ( 27 - 17 )
= 15 . 10
= 150
b, 55 - 5 . ( 20 + 11 )
= 55 - 100 . 55
= 55 . ( 1 - 100 )
= 55 . ( -99 )
= ...
a.(-256).43+(-256).25-256.32
=(-256).43+(-256).25+(-256).32 =(-256).(43+25+32)
=(-256).100
-25600
37.39+78.14+13.85+52.55
=37.39+39.2.14+13.5.17+13.4.5.11
=39.(37+2.14)+65.17+65.44
=39.65+65.(17+44)
=39.65+65.61
=65.(39+61)
=65.100
=6500