Question

Tính

\(A=-\frac{1}{10}-\frac{1}{100}-\frac{1}{1000}-\frac{1}{10000}-\frac{1}{100000}\)

Answer 1

\(A=\frac{-1}{10}-\frac{1}{100}-\frac{1}{1000}-\frac{1}{10000}-\frac{1}{100000}\)

\(\Rightarrow A=-\left(\frac{1}{10}+\frac{1}{100}+\frac{1}{1000}+\frac{1}{10000}+\frac{1}{100000}\right)\)

\(\Rightarrow A=-\left(\frac{10000}{100000}+\frac{1000}{100000}+\frac{100}{100000}+\frac{10}{100000}+\frac{1}{100000}\right)\)

\(\Rightarrow A=-\left(\frac{10000+1000+100+10+1}{100000}\right)\)

\(\Rightarrow A=-\left(\frac{11111}{100000}\right)\)

\(\Rightarrow A=\frac{-11111}{100000}\)