题目；1-1/10-1/100-1/1000-……-1/10000000000
问题描述：
题目；1-1/10-1/100-1/1000-……-1/10000000000
答
因为1/10+1/100+...+1/[10^{10}]=[1/10-1/10^{11}]/[1-1/10]=1/9-1/(9*10^{10}
所以1-1/10-1/100-1/1000-……-1/10000000000
=1-1/9+1/(9*10^{10}
=80000000001/90000000000
(分子中有9个零,分母中有10个零)
答
1-1/10-1/100-1/1000-……-1/10000000000
=1-（0.1+0.01+0.01+……+0.000 000 0001）
=1-0.111 111 1111
=0.888 888 8889
答
=1-（0.1+0.01+...+0.0000000001）
=1-0.1111111111
=0.8888888889