Tính :
-66 . \((\dfrac{1}{2} - \dfrac{1}{3}+\dfrac{1}{11})\) + 124 . ( -37 ) + 63 . ( -124 )
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18 tháng 11 2021
\(a,A=\dfrac{1}{2010}-\dfrac{1}{2009}-\dfrac{1}{2009}+\dfrac{1}{2008}-...-\dfrac{1}{3}+\dfrac{1}{2}-\dfrac{1}{2}+1\\ A=1+\dfrac{1}{2010}=\dfrac{2011}{2010}\)
\(b,B=\left(-124\right)\left(63-37\right)+\dfrac{17}{66}\left(-66\right)=-124\cdot26+17=-3224+17=-3207\)
3 tháng 9 2017
1, \(B=\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)...........\left(1-\dfrac{1}{n+1}\right)\)
\(=\left(\dfrac{2}{2}-\dfrac{1}{2}\right)\left(\dfrac{3}{3}-\dfrac{1}{3}\right)...........\left(\dfrac{n+1}{n+1}-\dfrac{1}{n+1}\right)\)
\(=\dfrac{1}{2}.\dfrac{2}{3}..............\dfrac{n}{n+1}\)
\(=\dfrac{1.2.3........n}{2.3.......\left(n+1\right)}\)
\(=\dfrac{1}{n+1}\)
2, \(A=\dfrac{1}{1.2}+\dfrac{1}{2.3}+...........+\dfrac{1}{99.100}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+............+\dfrac{1}{99}-\dfrac{1}{100}\)
\(=1-\dfrac{1}{100}\)
\(=\dfrac{99}{100}\)
3 tháng 9 2017
C=\(-66\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{11}\right)+124.\left(-37\right)+63.\left(-124\right)\)
=\(-66.\left(\dfrac{5}{66}\right)+124\left(-37-63\right)=-5+124.\left(-100\right)\)
=-12405
2 tháng 7 2019
\(C=-66\times(\frac{1}{2}-\frac{1}{3}+\frac{1}{11})+124\times-37+63\times-124\)
\(C=-66\times\frac{17}{66}-124\times100\)
\(C=-12417\)
\(-66.\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{11}\right)+124.\left(-37\right)+63.\left(-124\right)\)
\(=-66.\dfrac{17}{66}+124.\left(-37-63\right)\)
\(=-17+124.\left(-100\right)=-17-12400\)
\(=-12417\)
Tính :
-66 . ( \(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{11})\)+ 124 . (-37) + 63 . (-124)
= -66 . (\(\dfrac{33}{66}-\dfrac{22}{66}+\dfrac{6}{66}\))+ (-4588) + (-7812)
= -66 . \(\dfrac{17}{66}\)+ (-12400)
= -17 + (-12400)
= -12417