1-2+3-4-.2008+2009,请列出简便计算算式?

问题描述:

1-2+3-4-.2008+2009,请列出简便计算算式?

1-2+3-4+5-6+7-8+9-......2008+2009
=1+(3-2)+(5-4)+(7-6)+......+(2009-2008)
=1+【1+1+....+1(1004个)】
=1005

(1-2)+(3-4)+.....+(2007-2008)+2009
=-1+(-1)+...+(-1)+2009
=2008×(-1)+2009
=-2008+2009
=1
希望对你有帮助

(1-2)+(3-4)+.+(2007-2008)+2009
=-1+(-1)+...+(-1)+2009
=2008/2×(-1)+2009
=-1004+2009
=1005