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a: =274+184=458
b: =29+132+868+237+163
=1000+400+29
=1429
f: =A*135*137(1001-1001)=0
e: =24*25+24*37+24*38
=24*100=2400
c: =31(98+2)=31*100=3100
bài 4 :
a, 4.7.76 + 28.24 = 28.76 + 28. 24 = 28.( 76 + 24 ) = 28. 100 = 2800
b, 1 + 6 + 11 + 16 +...+ 46 + 51
dãy trên có SSH : ( 51 -1 ) :5 +1 = 11
tổng dãy trên : ( 1 + 51 ) x 11 : 2 = 286
c, 1 +2 -3 -4 + 5 +6 -7-8 +... - 299 - 300 + 301 + 302
= 1 + ( 2-3 -4 +5 ) + ( 6-7-8 +9 ) +... + ( 298 -299 -300 +301 ) + 302
= 1 + 302 = 303
\(136\cdot48+16\cdot272+68\cdot20\cdot2\)
\(=136\cdot48+16\cdot2\cdot136+136\cdot20\)
\(=136\cdot48+136\cdot32+136\cdot20\)
\(=136\cdot\left(48+32+20\right)\)
\(=136\cdot100\)
\(=13600\)
136.48+16.2.136+68.2.20
=136.48+32.136+136.20
=136.( 48+32+20)
=136.100
=13600
\(136\cdot48+16\cdot272+68\cdot20\cdot2\)
\(=136\cdot48+16\cdot2\cdot136+136\cdot20\)
\(=136\cdot48+136\cdot32+136\cdot20\)
\(=136\cdot\left(48+32+20\right)\)
\(=136\cdot100\)
\(=13600\)
a) =24(25+37+38)
= 24 . 100
= 2400
b)136.
48+16.272+68.20.2136.48+16.272+68.20.2
=136.48+16.2.136+68.2.20=136.48+16.2.136+68.2.20
=136.48+32.136+136.20=136.48+32.136+136.20
=136.(48+32+20)=136.(48+32+20)
=136.100=136.100
=13600
a) \(10+11+12+...+99=\dfrac{\left(99+10\right)\left(\dfrac{99-10}{1}+1\right)}{2}=4905\)
b) \(1+6+11+...+51=\dfrac{\left(51+1\right)\left(\dfrac{51-1}{5}+1\right)}{2}=286\)
c) \(\left(1+3+5+...+2017\right)\left(135135.137-135.137137\right)=\left(1+3+5+...+2017\right)\left[1001\left(135,137-135.137\right)\right]=\left(1+3+5+...+2017\right).0=0\)
a)
=10+(11+99)+(12+98)+.....+(54+56)+55
=10+55+110+110+...+110
=10+55+110.(99-11):2
=10+55+110.44
=65+4840=4905