\(A=\left(\dfrac{1}{2}-1\right)\left(\dfrac{1}{3}-1\right)...\left(\dfrac{1}{10}-1\right)\)
\(\Rightarrow A=\dfrac{-1}{2}.\dfrac{-2}{3}...\dfrac{-9}{10}\)
\(\Rightarrow A=\dfrac{-1}{2}.\dfrac{-2}{3}...\dfrac{-9}{10}\)
\(\Rightarrow A=\left(-1\right)\left(-1\right)...\dfrac{-1}{10}\)
\(\Rightarrow A=\dfrac{-1}{10}\)
