化简 |1/2010-1/2009|+|1//2009-1/2008|+|1/2008-1/2007|-|1/2007-1/2010|| | 是绝对值 写下详细过程哈

问题描述:

化简 |1/2010-1/2009|+|1//2009-1/2008|+|1/2008-1/2007|-|1/2007-1/2010|
| | 是绝对值 写下详细过程哈

1\2009-1\2010+1\2008-1\2009+1\2007-1\2008-1\2007+1\2010
=0

绝对值打开以后一定是正数,所以化简时用大的减小的.
所以原式
=1/2009-1/2010+1/2008-1/2009+1/2007-1/2008-(1/2007-1/2010)
=0