Question

(1-1/2)×(2-2/3)×(3-3/4)×(4-4/5)×(5-5/6)×(6-6/7)×(7-7/8)×(8-8/9)×(9-9/10)等于多少??

还要写出过程！！

Answer 1

(1-1/2)×(2-2/3)×(3-3/4)×(4-4/5)×(5-5/6)×(6-6/7)×(7-7/8)×(8-8/9)×(9-9/10)
=(1-1/2)×2×(1-1/3)×3×(1-1/4)×4×(1-1/5)×5×(1-1/6)×6×(1-1/7)×7×(1-1/8)×8×(1-1/9)×9×(1-1/10)
=2×3×4×5×6×7×8×9×(1/2)×(2/3)×(3/4)×(4/5)×(5/6)×(6/7)×(7/8)×(8/9)×(9/10)
=2×3×4×5×6×7×8×9×(1/10)
=3×4×6×7×8×9
=36288

Answer 2

原式=1^2/2乘2^2/3乘3^2/4...乘9^2/10
=1*2*3*4...*8*9/10
=1*3*4*6*7*8*9
=36288

Answer 3

36288