(1-1/97)*(1-1/98)*...(1-1/1000)

= 96/97*97/98*...*999/1000

= 96/1000 = 49/500

\(\left(1-\frac{1}{97}\right)\left(1-\frac{1}{98}\right)....\left(1-\frac{1}{1000}\right)\)

\(=\frac{96}{97}\times\frac{97}{98}\times....\times\frac{999}{1000}\)

\(=\frac{96\times97\times.....\times999}{97\times98\times....\times1000}\)

\(=\frac{96\times\left(97\times98\times....\times999\right)}{\left(97\times98\times.....\times999\right)\times1000}=\frac{96}{1000}=\frac{12}{125}\)

\(=\frac{96}{97}\times\frac{97}{98}\times...\times\frac{999}{1000}=\frac{96}{1000}=0,096\)

\(\left(1-\frac{1}{97}\right)\times\left(1-\frac{1}{98}\right)\times...\times\left(1-\frac{1}{1000}\right)\)

\(=\frac{96}{97}\times\frac{97}{98}\times...\times\frac{999}{1000}\)

\(=\frac{96\times97\times...\times999}{97\times98\times...\times1000}\)

\(=\frac{96}{1000}\)

\(=\frac{12}{125}\)

_Chúc bạn học tốt_

\(\left(1-\frac{1}{97}\right)\cdot\left(1-\frac{1}{98}\right)\cdot...\cdot\left(1-\frac{1}{1000}\right)\)

\(=\frac{96}{97}\cdot\frac{97}{98}\cdot...\cdot\frac{99}{1000}\)

\(=\frac{96}{1000}=\frac{12}{125}\)

kết quả là 12/125

ủng hộ  mình lên 300 các bạn

bai toan này không đon gian

 {1 - 1/97} *{1 - 1/98}*........* {1 - 1/1000} 

\(\frac{96}{97}\times\frac{97}{98}\times\frac{98}{99}\times\frac{99}{100}\times...\frac{998}{999}\times\frac{999}{1000}\)

 \(\frac{96}{1000}\)

làm ơn làm phước cho mk 3 cái tick đi

Làm ơn tick cho mình tròn 30 điểm đi 

(1-1/97)x(1-1/98)x...x(1-1/1000)

=96/97x97/98x...x999/1000

=96/1000

=0,096

= \(\frac{96}{97}\)x \(\frac{97}{98}\)x ... x \(\frac{999}{1000}\)

= \(\frac{96x97x...x999}{97x98x...x1000}\)

= \(\frac{96}{1000}\)

= \(\frac{12}{125}\)

thank nguyễn  mai

( 1- 1/97) x ( 1- 1/98) x … x ( 1-1/1000)
= 96/97 x 97/98 x ….x 999/1000
= 96/1000
= 12/125

(1-1/97)x(1-1/98)x....x(1-1/1000)

=96/97 x 97/98 x ... x 999/1000

= 96/1000

= 12/125

= 12/125

tick mk nha