初一绝对值思考题
问题描述：
初一绝对值思考题
▏1/3-1/2▏+▏1/4-1/3▏+▏1/5-1/4▏+…+▏1/2004-1/2003▏
答
原式=1/2-1/3+1/3-1/4+1/4-1/5+…+1/2003-1/2004
=1/2+(-1/3+1/3)+(-1/4+1/4)+…+(-1/2003+1/2003)-1/2004
=1/2-1/2004
=(1002-1)/2004
=1001/2004