计算:(-1+1/100)×(-1+1/101)×(-1+1/102)×…×(-1+1/2010)

问题描述:

计算:(-1+1/100)×(-1+1/101)×(-1+1/102)×…×(-1+1/2010)
请写出解答过程和理由
答得好的有悬赏!

(-1+1/100)×(-1+1/101)×(-1+1/102)×…×(-1+1/2010)
=(-99/100)×(-100/101)×(-101/102)×…×(-2009/2010)
=-99/2010=-33/670