Ta xét vế 1 : (27 x 45 + 27 x 55)

=27 x (45+55)

=27 x 100=2700

Vế 2 : 2+4+6+8+10+.....+18

Ta thấy đây là dãy số chẵn từ 2 đến 18

Số số hạng của dãy là :

(18-2):2+1=9

Tổng của dãy là ;

(18+2)x9:2=90

Ta lại có :2700 : 90 

=30

=27x(45+55): ((18+2)x9/2)

=2700:90

=30

=[27x(45+55)]:[(2+18)+(4+16)+(6+14)+(8+12)+10]

=[27x100]:[20+20+20+20+10]

=2700:90

=30

a) 25.(-45)+(-25).55

=25.(-45)+25.(-55)

=25.(-45-55)

=25.(-100)

=-2500

b)(-75).18+18.(-25)+(-72).100

=18.(-75-25)+(-72).100

=18.(-100)+72.(-100)

=(-100).(18+72)

=(-100).100

=-10000

\(0,25+25\%\times55+\dfrac{1}{4}\times45-\dfrac{2}{8}\)

\(=\dfrac{1}{4}+\dfrac{1}{4}\times55+\dfrac{1}{4}\times45-\dfrac{1}{4}\)

\(=\dfrac{1}{4}\times\left(1+55+45-1\right)\)

\(=\dfrac{1}{4}\times100\)

\(=25\)

\(0,25+25\%\times55+\dfrac{1}{4}\times45-\dfrac{2}{8}\)

\(=\dfrac{1}{4}+\dfrac{1}{4}\times55+\dfrac{1}{4}\times45-\dfrac{1}{4}\)

\(=\dfrac{1}{4}\times1+\dfrac{1}{4}\times55+\dfrac{1}{4}\times45-\dfrac{1}{4}\times1\)

\(=\dfrac{1}{4}+\left(1+55+45-1\right)\)

\(=\dfrac{1}{4}\times100\)

\(=0,25\times100\)

\(=25\)

\(#:)\)

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) \(5\times11\times18+9\times31\times10+4\times29\times45\)

\(=5\times11\times9\times2+9\times31\times10+2\times2\times29\times5\times9\)

\(=10\times9\times11+10\times9\times31+10\times29\times2\times9\)

\(=90\times11+90\times31+90\times29\times2\)

\(=90\times\left(11+31+29\times2\right)\)

\(=90\times\left(42+58\right)\)

\(=90\times100\)

\(=9000\)

= 27 x 45 + 27 x 55

= 27 x (45 + 55)

= 27 x 100

= 2700

\(=\left[66+34+77+23+12+88+45+55\right]\times\left[1808\times\left(25-25\right)\right]\\ =0\)

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+4.29.45

=90.11+90.31+2.29.90

=90.(11+31+2.29)

=90.100

=9000

b)

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