1998×(1/11−1/2009)+11×(1/1998−1/2009)−2009×(1/11+1/1998)+3=_.
问题描述:
1998×(
−1 11
)+11×(1 2009
−1 1998
)−2009×(1 2009
+1 11
)+3=______. 1 1998
答
1998×(
−1 11
)+11×(1 2009
−1 1998
)−2009×(1 2009
+1 11
)+3,1 1998
=3-(2009-1998)×
-(1998+11)×1 11
-(2009-11)×1 2009
,1 1998
=3-11×
-2009×1 11
-1998×1 2009
,1 1998
=3-1-1-1,
=0.
故答案为:0.