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\(a,=\dfrac{14}{13}-\dfrac{1}{13}-\dfrac{19}{20}\\ =1-\dfrac{19}{20}=\dfrac{20}{20}-\dfrac{19}{20}\\ =\dfrac{1}{20}\\ b,=\dfrac{-24}{17}+\dfrac{7}{17}+\dfrac{1}{16}\\ =-1+\dfrac{1}{16}\\ =\dfrac{-16}{16}+\dfrac{1}{16}=\dfrac{-15}{16}\)
S = 1 - 2 + 3 + 4 - 5 - 6 + 7 + 8 - 9 + ... - 2006 + 2007 + 2008 - 2009
= 1 + (-2 + 3 + 4 - 5) + (-6 + 7 + 8 - 9) + ... + (-2006 + 2007 + 2008 - 2009)
= 1 + 0 + 0 + ... + 0
= 1
a, \(\dfrac{14}{13}-\dfrac{1}{13}-\dfrac{19}{20}=1-\dfrac{19}{20}=\dfrac{1}{20}\)
b, \(-\dfrac{24}{17}+\dfrac{7}{17}+\dfrac{1}{16}=\dfrac{-17}{17}+\dfrac{1}{16}=-1+\dfrac{1}{16}=-\dfrac{15}{16}\)
a)\(\text{ -19+84+19+16 }\)
\(=\left(-19+19\right)+\left(84+16\right)\)
\(=0+100=100\)
\(\left(437-25\right)-\left(175+437\right)\)
\(=437-437-\left(25+175\right)=-200\)
\(c\))\(2^3.\left(-7\right).125\)
\(=\left(8.125\right).\left(-7\right)\)
\(=1000.\left(-7\right)=-7000\)
a). -19+84+19+16= 19+ (-84) +19+16= 19+ ( -84 + 16) = 19 + (-68 )= - 49
c). 23. (-7) . 125 = 8. (-7) . 125 = (125.8). (-7) = 1000. (-7 ) = -7000
d). (-17) . 39 + 17.( -161) = 17. (-39 ) + 17. (-161) = 17. \([\left(-39\right)+\left(-161\right)]\) = 17. (-200)= -3400
nhớ k cho mik nha <3
\(A=\dfrac{5}{11}.\dfrac{5}{7}+\dfrac{5}{11}.\dfrac{2}{7}+\dfrac{6}{11}=\dfrac{5}{11}\left(\dfrac{5}{7}+\dfrac{2}{7}\right)+\dfrac{6}{11}=\dfrac{5}{11}.1+\dfrac{6}{11}=\dfrac{5}{11}+\dfrac{6}{11}=\dfrac{11}{11}=1\)
\(B=\dfrac{3}{13}.\dfrac{6}{11}+\dfrac{3}{13}.\dfrac{9}{11}-\dfrac{3}{13}.\dfrac{4}{11}=\dfrac{3}{13}\left(\dfrac{6}{11}+\dfrac{9}{11}-\dfrac{4}{11}\right)=\dfrac{3}{13}.1=\dfrac{3}{13}\)
\(C=\left(\dfrac{12}{16}-\dfrac{31}{22}+\dfrac{14}{91}\right)\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)=\left(\dfrac{12}{16}-\dfrac{31}{22}+\dfrac{14}{91}\right)\left(\dfrac{3}{6}-\dfrac{2}{6}-\dfrac{1}{6}\right)=\left(\dfrac{12}{16}-\dfrac{31}{22}+\dfrac{14}{91}\right).0=0\)