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

=96/97x97/98x98/99x...x999/1000

=96/1000

=12/125

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

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

=96x97x...x999x1000/97x98x...x999x1000

=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

(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

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

Bài làm

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

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

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

= \(\frac{96}{1000}\)

= \(\frac{12}{125}\)

# Chúc bạn học tốt #

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

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

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

= 96.97....999/97.98.....1000

= 96/1000

= 12/125

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

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(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