Đặt \(A=\dfrac{-9}{10^{2010}}+\dfrac{-19}{10^{2011}};B=\dfrac{-9}{10^{2011}}+\dfrac{-19}{10^{2010}}\)
\(A=\dfrac{-9}{10^{2010}}+\dfrac{-19}{10^{2011}}=\dfrac{-9\cdot10+\left(-19\right)}{10^{2011}}=\dfrac{-109}{10^{2011}}\)
\(B=\dfrac{-9}{10^{2011}}+\dfrac{-19}{10^{2010}}=\dfrac{-9+\left(-19\right)\cdot10}{10^{2011}}=\dfrac{-191}{10^{2011}}\)
mà -109>-191
nên \(A>B\)