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465+58+(-465)+(-78)=(-78)-(-58)=-20
1+(-3)+5+(-7)+9(-11)=-2+-2+-2=-6
1+2+3+...+100=(100+1)*(100-1)+1:2=101*100:2
101*50=5050
**** mk nha Thanh Trúc thông minh
làm được câu a thui
\(\frac{1}{100}=\frac{1}{10.10}\);\(\frac{1}{90}=\frac{1}{9.10}\);...
Suy ra \(\frac{1}{10.10}-\frac{1}{9.10}-\frac{1}{8.9}-\frac{1}{7.8}-\frac{1}{6.7}-...-\frac{1}{1.2}\)
\(\frac{1}{10}-\frac{1}{10}-\frac{1}{10}-\frac{1}{9}-...-1-\frac{1}{2}\)
\(\frac{1}{10}-\frac{1}{2}\)
\(-\frac{4}{10}\)
\(A,\dfrac{7}{11}+\dfrac{5}{6}-\dfrac{-4}{11}-\dfrac{1}{6}\)
\(= (\dfrac{7}{11}+\dfrac{-4}{11})-(\dfrac{5}{6}-\dfrac{1}{6})\)
\(=\dfrac{3}{11}-\dfrac{2}{3}\)
\(= \dfrac{9}{33}-\dfrac{22}{33}\)
\(= \dfrac{-13}{33}\)
\(B,\dfrac{5}{9}.\dfrac{7}{3}+\dfrac{5}{9}.\dfrac{9}{13}-\dfrac{5}{9}:\dfrac{13}{5}\)
\(=(\dfrac{5}{9}.\dfrac{5}{9}:\dfrac{5}{9}).\dfrac{7}{3}+\dfrac{9}{13}-\dfrac{13}{5}\)
\(=(\dfrac{5}{9}.\dfrac{7}{3})+(\dfrac{9}{13}-\dfrac{13}{5})\)
\(=(\dfrac{5}{9}.\dfrac{21}{9})+(\dfrac{45}{65}-\dfrac{169}{65})\)
\(=\dfrac{35}{27}+\dfrac{-124}{65}\)
\(=\dfrac{2275}{1755}+\dfrac{-3348}{1755}\)
\(=\dfrac{-1073}{1755}\)
( 100/7 + 100/9 + 100/11) : (1/7 + 1/9 + 1/11)
=100( 1/7 + 1/9 + 1/11) : (1/7 + 1/9 + 1/11)
=( 1/7 + 1/9 + 1/11).(100:1)
=239/693.100
=23900/693
( 100 / 7 + 100 / 9 + 100 / 11 ) : (1 / 7 + 1 / 9 + 1 / 11 )
= 100 x (( 1 / 7 + 1 / 9 + 1 / 11 ) : ( 1 / 7 + 1 / 9 + 1 / 11 ))
=100 x 1
=100