请大家算道题 很急!

来源:百度知道 编辑:UC知道 时间:2024/06/15 22:12:12
1/2009-1/2008的绝对值+1/2008-1/2007的绝对值-1/2009-1/2007的绝对值=??????
是道分数题!

绝对值的题目,关键是要搞清正负号。正数绝对值等于本身,负数绝对值等于相反数。

|1/2009-1/2008|=1/2008-1/2009
|1/2008-1/2007|=1/2007-1/2008
|1/2009-1/2007|=1/2007-1/2009

原式=(1/2008-1/2009)+(1/2007-1/2008)-(1/2007-1/2009)
=1/2008-1/2009+1/2007-1/2008-1/2007+1/2009
=0

化简原式=1/2008-1/2009+1/2007-1/2008-1/2007+1/2009=0

1/2009-1/2008的绝对值+1/2008-1/2007的绝对值-1/2009-1/2007的绝对值=(1/2008-1/2009)+(1/2007-1/2008)-(1/2007-1/2009)=0

[1/2009-1/2008]=1/2008-1/2009,同理;1/2008-1/2009+1/2007-1/2008-1/2007+1/2009=0

答案应该是0。
你将每个绝对值去掉就好算了!