|1/2005-1/2003|+|1/2003-1/2001|+...|1/7-1/5|+|1/5-1/3|+|1\3-1|一道有_数学解答

|1/2005-1/2003|+|1/2003-1/2001|+...|1/7-1/5|+|1/5-1/3|+|1\3-1|
一道有理数计算题,| |代表绝对值,/代表分数线,希望大家帮我,

人气：223 ℃　时间：2020-05-01 03:46:05

解答

绝对值里面开出来都为负值,所以变号,原式化为
|1/2005-1/2003|+|1/2003-1/2001|+...|1/7-1/5|+|1/5-1/3|+|1\3-1|
=1/2003-1/2005+1/2001-1/2003+.+1/5-1/7+1/3-1/5+1-1/3
=-1/2005+1
=2004/2005