Answer :
[tex]\underline{0.0909...}\\1:11\\\underline{0}\\10\\\underline{.\ 0}\\100\\\underline{.\ 99}\\.\ \ 10\\\underline{.\ \ \ 0}\\.\ \ 100\\\underline{.\ \ \ \ 99}\\.\ \ \ \ \ 1\\\\\boxed{\frac{1}{11}=0.0909...=0.\overline{09}=0.(09)}[/tex]
Okay so here is what you would do:
If you want take a calculator and calculate the following (to check my work):
Do 1 divided by 11 (1 / 11).
Pretty much you would get a crazy number similar to this:
0.09090909090909
That's a repeating decimal so just go ahead and turn it into this:
_
1.09
(Pretend the _ is over the number 9)
If you want take a calculator and calculate the following (to check my work):
Do 1 divided by 11 (1 / 11).
Pretty much you would get a crazy number similar to this:
0.09090909090909
That's a repeating decimal so just go ahead and turn it into this:
_
1.09
(Pretend the _ is over the number 9)
