0.999...(无限循环)=1

问题描述:

0.999...(无限循环)=1
1/3=0.333...(无限循环)
0.999...(无限循环)=0.333...(无限循环)*3=(1/3)*3=1
0.999...(无限循环)=1

设x=0.999...循环,则10x=9.999...循环,则10x-x=9,x=1,所以0.999循环等于1