问一道初中一年级数学题

来源:百度知道 编辑:UC知道 时间:2024/05/30 12:11:19
简算:

丨1/2001-1/2000丨 - 丨1/2002-1/2000丨 + 丨1/2002-1/2001丨

注:“丨 丨”为绝对值符号。

丨1/2001-1/2000丨 - 丨1/2002-1/2000丨 + 丨1/2002-1/2001丨
=1/2000-1/2001-1/2000+1/2002+1/2001-1/2002
=0

原式=1/2000-1/2001-1/2000+1/2002+1/2001-1/2002=-1/1001

-1/2001+1/2000+1/2002-1/2000-1/2002+1/2001=0

-1/2001+1/2000 +1/2002-1/2000 -1/2002+1/2001
=0

丨1/2001-1/2000丨 - 丨1/2002-1/2000丨 + 丨1/2002-1/2001丨
解:=(1/2000-1/2001)-(1/2000-1/2002)+(1/2001-1/2002)
=1/2000-1/2001-1/2000+1/2002+1/2001-1/2002
=0

这一题就是去绝对值符号,哪个数大,就把哪个数放在前面,所以

丨1/2001-1/2000丨 - 丨1/2002-1/2000丨 + 丨1/2002-1/2001丨
=(1/2000-1/2001)-(1/2000-1/2002)+(1/2001-1/2002)
=0