Question

Which is bigger 0.01 or 0.009999999999999

Answer 1

They might be equal actually

Step-by-step explanation:

Well
`0.01` is actually bigger if we don't see
`0.009999999999999` as
`0.00\overline9` as
`0.00\overline9` and
`0.01` are actually equal. However your questionnaire might mean
`0.009999999999999` as
`0.00\overline9` so you might want to clarify that with your teacher.

Proof of
`\bold{0.01 = 0.00\overline9}`:

We let
`x = 0.00\overline9`

`x = 0.00\overline9 \\ x * 10 = 0.00\overline9 * 10 \\ 10x = 0.09\overline9 \\ 10x -x = 0.09\overline9 - 0.00\overline9 \\ 9x = 0.09 \\ (9x)/(9) = (0.09)/(9) \\ x = 0.01`