|1/1001-1/1000|+|1/1002-1/1001|-|1/1002-1/1000|= _ .

问题描述:

|

1
1001
-
1
1000
|+|
1
1002
-
1
1001
|-|
1
1002
-
1
1000
|= ___ .

原式=-(

1
1001
-
1
1000
)-(
1
1002
-
1
1001
)-[-(
1
1002
-
1
1000
)]
=-
1
1001
+
1
1000
-
1
1002
+
1
1001
+
1
1002
-
1
1000

=0,
故答案为0.