(1/2010-1)x(1/2009-1)x...x(1/1000-1)的值
问题描述:
(1/2010-1)x(1/2009-1)x...x(1/1000-1)的值
答
(1/2010-1)x(1/2009-1)x...x(1/1000-1)=(-2009/2010)x(-2008/2009)x(-2007/2008)x(-2006/2007)x.x(-1000/1001)x(-999/1000)=-999/2010=-333/670 分子分母交叉约分,分子上只剩下999,分母上只剩下2010共有2010-1000+1...