(1+3+5+…+1997)-(2+4+6+…+1994+1996)=______.
1+3+5+…+1997共有加數(shù):
÷2+1=999個;
2+4+6+…+1994+1996共有加數(shù):
÷2+1=998個;
所以:
(1+3+5+…+1997)-(2+4+6+…+1994+1996)
=(1997+1)×999÷2-(1996+2)×998÷2,
=1998×999÷2-1998×998÷2,
=(999-998)×1998÷2,
=1×999,
=999.
故答案為:999.
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