A = (-7/102005-7/102006) - 8/102006
B = (-7/102005-7/102006) - 8/ 102005
vì 102006 > 102005 => 8/102006 > 8/102005 => - 8/102006 < - 8/102005 => A < B
Ta có:
\(\dfrac{-15}{10^{2026}}=\dfrac{-15}{10^{2025}.10}\)
\(\dfrac{-7}{10^{2026}}=\dfrac{-7}{10^{2025}.10}\)
Từ câu trên ta suy ra:
A=\(\dfrac{-7}{10^{2005}}+\dfrac{-15}{10^{2005}}.\dfrac{1}{10}\)
B=\(\dfrac{-15}{10^{2005}}+\dfrac{-7}{10^{2005}}.\dfrac{1}{10}\)
Ta có: -7.1>-15.1
=>\(\dfrac{-15}{10^{2005}}.\dfrac{1}{10}< \dfrac{-7}{10^{2005}}.\dfrac{1}{10}\)
Từ đó suy ra:\(\dfrac{-7}{10^{2005}}+\dfrac{-15}{10^{2005}}.\dfrac{1}{10}\)<\(\dfrac{-15}{10^{2005}}+\dfrac{-7}{10^{2005}}.\dfrac{1}{10}\)
=> A<B




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