Question

What is the exact decimal equivalent for 1/9

Answer 1

`\underline{\ \ 0.111...=0.\overline{1}}\\9|1\\\underline{\ \ 0}\\.\ \ 10\\\underline{\ \ \ \ 9}\\.\ \ \ \ 10\\\underline{\ \ \ \ \ \ 9}\\.\ \ \ \ \ 10\\\underline{\ \ \ \ \ \ \ 9}\\.\ \ \ \ \ \ 1\\\\(1)/(9)=0.111...=0.\overline{1}\\\\REMEMBER:\\\\(1)/(9)=0.111...=0.\overline{1}\\\\(2)/(9)=0.222...=0.\overline{2}\\\\(3)/(9)=0.333...=0.\overline{3}\\\vdots\\\\(8)/(9)=0.888...=0.\overline{8}`