\(A=\left(\frac{1}{10}-1\right).\left(\frac{1}{11}-1\right).\left(\frac{1}{12}-1\right)...\left(\frac{1}{99}-1\right).\left(\frac{1}{100}-1\right)\)(91 cặp số)
\(=\frac{-9}{10}.\frac{-10}{11}.\frac{-11}{12}....\frac{-98}{99}.\frac{-99}{100}\)(91 thừa số)
\(=-\left(\frac{9}{10}.\frac{10}{11}.\frac{11}{12}....\frac{98}{99}.\frac{99}{100}\right)\)
\(=-\frac{9}{100}\)
\(=-0,09\)
Vậy A = - 0,09
Đúng 0
Bình luận (0)