计算:|1/2008-1/2007|+|1/2009-1/2008|+|1/2010-1/2009|-|1/2010-1/2007|.

问题描述:

计算:|1/2008-1/2007|+|1/2009-1/2008|+|1/2010-1/2009|-|1/2010-1/2007|.

:|1/2008-1/2007|+|1/2009-1/2008|+|1/2010-1/2009|-|1/2010-1/2007|
=1/2007-1/2008+1/2008-1/2009+1/2009-1/2010+1/2010-1/2007
=0