( 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

\(=\frac{96}{97}\cdot\frac{97}{98}\cdot...\cdot\frac{999}{1000}=\frac{96\cdot97\cdot...\cdot999}{97\cdot98\cdot...\cdot999\cdot1000}=\frac{96}{1000}=\frac{12}{125}\)

\(\left(1-\frac{1}{97}\right)\times\left(1-\frac{1}{98}\right)\times...\times\left(1-\frac{1}{1000}\right)=\frac{96}{97}\times\frac{97}{98}\times...\times\frac{999}{1000}=\frac{96}{1000}=\frac{12}{125}\)

\(=\frac{96}{97}\cdot\frac{97}{98}\cdot...\cdot\frac{999}{1000}=\frac{96\cdot97\cdot...\cdot999}{97\cdot98\cdot...\cdot1000}=\frac{96\cdot1\cdot1\cdot...\cdot1}{1\cdot1\cdot...\cdot1\cdot1000}=\frac{96}{1000}=\frac{12}{125}\)

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

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

= \(\frac{96}{1000}\)

= \(\frac{12}{125}\)

thank nguyễn  mai

bai toan @gmail.com

(1-1/97) x (1-1/98) x (1-1/99) x (1-1/1000) = 96/97 x 97/98 x 98/99 x 999/1000 

= 96 x 97 x 98 x 999 / 97 x 98 x 99 x 1000 = 12 x 111 / 11 x 125 = 1332 / 1375

\(=\frac{96}{97}\cdot\frac{97}{98}\cdot...\cdot\frac{999}{1000}=\frac{96\cdot97\cdot...\cdot999}{97\cdot98\cdot...\cdot1000}=\frac{96\cdot1\cdot...\cdot1}{1\cdot...\cdot1\cdot1000}=\frac{96}{1000}=\frac{12}{125}\)

\(C=\left(1-\frac{1}{97}\right).\left(1-\frac{1}{98}\right).\left(1-\frac{1}{99}\right)......\left(1-\frac{1}{1000}\right)\)

\(C=\frac{96}{97}.\frac{97}{98}.\frac{98}{99}........\frac{999}{1000}\)

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

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

ket quả bằng 12 phần 125