Question

計(jì)算：|

1

4

-

1

2

|+|

1

6

-

1

4

|+|

1

8

-

1

6

|+…+|

1

2008

-

1

2006

|．

Answer 1

分析：利用絕對(duì)值的意義去掉絕對(duì)值，把互為相反數(shù)的兩個(gè)數(shù)字抵消，計(jì)算得出結(jié)果即可．

解答：解：|

1

4

-

1

2

|+|

1

6

-

1

4

|+|

1

8

-

1

6

|+…+|

1

2008

-

1

2006

|
=

1

2

-

1

4

+

1

4

-

1

6

+

1

6

-

1

8

+…+

1

2006

-

1

2008

=

1

2

-

1

2008

=

1003

2008

．

點(diǎn)評(píng)：此題考查有理數(shù)的加減混合運(yùn)算，注意把互為相反數(shù)的兩個(gè)數(shù)先抵消；以及絕對(duì)值的意義．