Question

问一下关于绝对值和有理数加法的问题

Answer 1

很明显1/3＜1/2 |1/3-1/2|=1/2-1/3

1/4＜1/3 |1/4-1/3|=1/3-1/4

同理：.

|1/2004-1/2003| =1/2003-1/2004

所以：原式=1/2-1/3+1/3-1/4+1/4-1/5+.+1/2003-1/2004

=1/2-1/2004

=1001/2004