(-1+1/100)x(-1+1/101)x(-1+1/102)x...x (-1+1/2011)
=(-1)的1912次方 ×(1-1/100)×(1-1/101)×(1-1/102)×...×(1-1/2010)×(1-1/2011)
=(99/100)×(100/101)×(101/102)×...×(2009/2010)×(2010/2011) （注：相邻两项分子分母相消）
=99/2011