B>A

nha bn

vì sao lại lớn hơn

Ta có thể thấy rõ: \(2019< 10^{2019};2019< 10^{2018}\)

\(\Rightarrow-\frac{9}{2019}>-\frac{9}{10^{2019}};-\frac{19}{2019}>-\frac{19}{10^{2018}}\)(do tử là số âm nên mẫu càng lớn thì cả pso càng nhỏ)

\(\Rightarrow-\frac{9}{2019}+\frac{-19}{2019}>-\frac{9}{10^{2019}}+\frac{-19}{10^{2018}}\)

Hay A>B

Chúc bn hok tốt,nhớ k nha

\(A=-\frac{9}{10^{2010}}-\frac{19}{10^{2011}}=-\frac{9}{10^{2010}}-\frac{9}{10^{2011}}-\frac{10}{10^{2011}}=-\frac{9}{10^{2010}}-\frac{9}{10^{2011}}-\frac{1}{10^{2010}}=\frac{8}{10^{2010}}-\frac{9}{10^{2011}}\)\(>B=-\frac{19}{10^{2010}}-\frac{9}{10^{2011}}\)

hello

Ta có: 

\(-\dfrac{9}{19}>-\dfrac{10}{19}>-\dfrac{10}{21}\\ \Rightarrow-\dfrac{9}{19}>-\dfrac{10}{21}\)

-10/19 > -10/21 ...???

- 3/4 < 4/3 (vì 3/4 < 1 < 4/3 nên 3/4 < 4/3).

- 10/7 > 7/9 (vì 10/7 > 1 > 7/9 nên 10/7 > 7/9).

- 12/11 > 11/10 (vì 12/11 > 1 > 11/10 nên 12/11 > 11/10).

3/4 < 4/3 vi 3/4 be hon 1con 4/3 lon hon 1

10/7 > 7/9 vi 10/7 lon hon 1 con 7/9 be hon 1

12/11 > 11/10 vi 12/11 lon hon 1 con 11/10 be hon 1

ta có: \(A-B=\left(\frac{-9}{10^{2010}}+\frac{-19}{10^{2011}}\right)-\left(\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}\right)\)

                     \(=\frac{\left(-9\right)}{10^{2010}}+\frac{\left(-19\right)}{10^{2011}}+\frac{9}{10^{2011}}+\frac{19}{10^{2010}}\)

                     \(=\frac{10}{10^{2010}}-\frac{10}{10^{2011}}\)     

mà \(\frac{10}{10^{2010}}>\frac{10}{10^{2011}}\)

\(\Rightarrow\frac{10}{10^{2010}}-\frac{10}{10^{2011}}>0\)

\(\Rightarrow A>B\)

Có \(\hept{\begin{cases}A=\frac{-9}{10^{2012}}+\frac{-19}{10^{2011}}\\B=\frac{-19}{10^{2012}}+\frac{-9}{10^{2011}}\end{cases}}\)

\(\Rightarrow\)A-B=\(\frac{10}{10^{2011}}-\frac{10}{10^{2012}}=\frac{1}{10^{2010}}-\frac{1}{10^{2011}}>0\)

\(\Rightarrow A>B\)

\(^{ }\frac{1914}{1975}\) và \(\frac{1998}{1999}\) 

Theo mik \(\frac{1998}{1999}\) >\(\frac{1914}{1975}\)