\(\dfrac{A}{10}=\dfrac{10^{2022}+1}{10^{2022}+10}=1-\dfrac{9}{10^{2022}+10}\)
\(\dfrac{B}{10}=\dfrac{10^{2023}+1}{10^{2023}+10}=1-\dfrac{9}{10^{2023}+10}\)
Vì \(10^{2022}+10< 10^{2023}+10\)
nên \(\dfrac{9}{10^{2022}+10}>\dfrac{9}{10^{2023}+10}\)
=>\(-\dfrac{9}{10^{2022}+10}< -\dfrac{9}{10^{2023}+10}\)
=>\(-\dfrac{9}{10^{2022}+10}+1< -\dfrac{9}{10^{2023}+10}+1\)
=>\(\dfrac{A}{10}< \dfrac{B}{10}\)
=>A<B
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