一道简算题,2007*(2006/2008)

问题描述:

一道简算题,
2007*(2006/2008)

2007*(2006/2008)
=(2008-1)*(2008-2)/2008
=(2008-1)*[1-(2/2008)]
=2008-2-1+2/2008
=2005+1/1004(可用假分数表示)

2007*(2006/2008)
= (2008-1)(2008-2)/2008
= (2008^2 - 3*2008 + 2)/2008
= 2008 - 3 + 2/2008
= 2005 + 1/1004

2007*(2006/2008)
=(2008-1)*(2006/2008)
=2008*(2006/2008)-(2006/200
=2006-2006/2008
=2006-0.999
=2005.001