\(\left(1-\frac{1}{6}\right)\times\left(1-\frac{1}{7}\right)\times\left(1-\frac{1}{8}\right)\times\left(1-\frac{1}{9}\right)\times\left(1-\frac{1}{10}\right)\)
\(=\frac{5}{6}\times\frac{6}{7}\times\frac{7}{8}\times\frac{8}{9}\times\frac{9}{10}\)
\(=\frac{5\times6\times7\times8\times9}{6\times7\times8\times9\times10}\)
\(=\frac{5}{10}\)
\(=\frac{1}{2}\)
Đường Quỳnh Giang 50 giây trước (19:06)
Thống kê hỏi đáp
Báo cáo sai phạm
(1−16 )×(1−17 )×(1−18 )×(1−19 )×(1−110 )
=56 ×67 ×78 ×89 ×910
=5×6×7×8×96×7×8×9×10
=510
(1-1/6)×(1-1/7)×(1-1/8)×(1-1/9)×(1-1/10)
=(6/6-1/6)×(7/7-1/7)×(8/8-1/8)×(9/9-1/9)×(10/10-1/10)
=5/6×6/7×7/8×8/9×9/10
=5/10
(Bạn gạch đi những số giống nhau nha)
Ví dụ:5/6×6/7=5/7(gạch bỏ số 6)
\(1-\frac{1}{6}\cdot1-\frac{1}{7}\cdot1-\frac{1}{8}\cdot1-\frac{1}{9}\cdot1-\frac{1}{10}\)
\(=\)\(\frac{5}{6}\cdot\frac{6}{7}\cdot\frac{7}{8}\cdot\frac{8}{9}\cdot\frac{9}{10}\)
\(=\frac{5\cdot6\cdot7\cdot8\cdot9}{6\cdot7\cdot8\cdot9\cdot10}=\frac{5}{10}=\frac{1}{2}\)
\((1-\frac{1}{6})\)\(.(1-\frac{1}{7})\)\(.(1-\frac{1}{8})\)\(.(1-\frac{1}{9})\)\(.(1-\frac{1}{10})\)
= \(\frac{5}{6}\)\(.\frac{6}{7}\)\(.\frac{7}{8}\)\(.\frac{8}{9}.\frac{9}{10}\)
=\(\frac{5.6.7.8.9}{6.7.8.9.10}\)
= \(\frac{5}{10}=\frac{1}{2}\)
