(-1)+(+2)+(-3)+(+4)+...+(-99)+(+100)+...+(-2009)+(+2010)=___
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/24 04:29:18
![(-1)+(+2)+(-3)+(+4)+...+(-99)+(+100)+...+(-2009)+(+2010)=___](/uploads/image/z/176448-48-8.jpg?t=%28-1%29%2B%28%2B2%29%2B%28-3%29%2B%28%2B4%29%2B...%2B%28-99%29%2B%28%2B100%29%2B...%2B%28-2009%29%2B%28%2B2010%29%3D___)
(-1)+(+2)+(-3)+(+4)+...+(-99)+(+100)+...+(-2009)+(+2010)=___
(-1)+(+2)+(-3)+(+4)+...+(-99)+(+100)+...+(-2009)+(+2010)=___
(-1)+(+2)+(-3)+(+4)+...+(-99)+(+100)+...+(-2009)+(+2010)=___
解
原式
=(2-1)+(4-3)+(6-5)+……+(2010-2019)
=1+1+1+……+1
=1×(2010/2)
=1005