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e) \(1+2+3+...+200\)
\(=\frac{\left(200+1\right).\left[\left(200-1\right)+1\right]}{2}\)
\(=20100\)
\(a)79+243+21\)
\(=\left(79+21\right)+243\)
\(=100+243\)
\(=343\)
A = 78 x 31 + 78 x 24 + 78 x 17 + 22 x 72
A = 78 x ( 31 + 24 + 17 ) + 22 x 72
A = 78 x 72 + 22 x 72
A = 72 x ( 78 + 22 )
A = 72 x 100
A = 7200
C = 53 x 39 + 47 x 39 - 53 x 21 - 47 x 21
C = 39 x ( 53 + 47 ) - 21 x ( 53 - 47 )
C = 39 x 100 - 21 x 6
C = 3900 - 126
C = 3774
Bài làm :
\(a,53.11+79.101\)
\(=583+7979\)
\(=8562\)
\(b,45.22+55.23\)
\(=9.5.11.2+55.23\)
\(=55.\left(18+23\right)\)
\(=55.41\)
\(=2255\)
\(c,27.332+68.27+73.332+68.73\)
\(=332.\left(27+73\right)+68.\left(27+73\right)\)
\(=\left(332+68\right).\left(27+73\right)\)
\(=400.100\)
\(=40000\)
Học tốt
\(A=47.36+64.47+15\)
\(A=47.\left(36+64\right)+15\)
\(A=47.100+15\)
\(A=4700+15\)
\(A=4715\)
\(B=27+35+65+73+75\)
\(B=\left(27+73\right)+\left(35+65\right)+75\)
\(B=100+100+75\)
\(B=275\)
\(C=37+37.15+84.37\)
\(C=37.\left(1+15+84\right)\)
\(C=37.100\)
\(C=3700\)
\(D=\frac{1}{20.21}+\frac{1}{21.22}+\frac{1}{22.23}+\frac{1}{23.24}\)
\(D=\frac{1}{20}-\frac{1}{21}+\frac{1}{21}-\frac{1}{22}+\frac{1}{22}-\frac{1}{23}+\frac{1}{23}-\frac{1}{24}\)
\(D=\frac{1}{20}-\frac{1}{24}\)
\(D=\frac{24}{480}-\frac{20}{480}\)
\(D=\frac{4}{480}=\frac{1}{120}\)
\(E=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{49.50}\)
\(E=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\)
\(E=1-\frac{1}{50}\)
\(E=\frac{49}{50}\)
a.125-(27-75+73)
= 125 - (27 + 73 - 75)
= 125 - (100 - 75)
=125 - 25
=100
b.314-(21-86+79)
= 314 - (21 + 79 - 86)
= 314 - (100 - 86)
= 314 - 14
= 300
c.728-(211-72+89)
= 728 - (211 + 89 -72)
= 728 - (300 - 72)
= 728 - 28
= 700
d.(547-623)-(547-23)
= 547 - 623 - 547 + 23
= 547 - 547 + 23 - 623
= 0 + -600
= - 600
a)125-(27-75+73)=125-27+75-73=(125+75)-(27+73)=200-100=100. b)314-(21-86+79)=314-21+86-79=(314+86)-(21+79)=400-100=300. c) 728-(221-72+89)=(728+72)-(221+89)=800-300=500. d) (547-623)-(547-23)=547-623-547+23=(547-547)+(23-623)=0+(-600)=-600