1.(1+3+5+…+1999+2000+2001)-(2+4+6+…+1998+2002)=多少

来源:百度知道 编辑:UC知道 时间:2024/05/28 10:35:40
99…9(2000个9)乘99…9(2000个9)加199…9(2000个9)等于多少?

1原式=[1-2]+[3-4]+[5-6]+。。。+[2001-2002]
=[-1]+[-1]+[-1]+。。。[-1]
=-1*1001
=-1001

2。99。。。9*99。。。9+199。。9
=99。。。99*99。。。9+100。[2000个]。。0+99。。。9
=99。。。9*[99。。。9+1]+100。。。(2000个)0]
=99。。。9*100...0(2000个)+100...00
=100...00*[99...9+1]
=100...00*100....00(2000个)
=100。。。00(4000个)

-1*1001=-1001
99...9*100000....0(2000个0) +100000....0(2000个0)=100000...(4000个0)

1 =-1001

2 =100000...0(4000个0)