What number comes after 0.10? 0.2 or 0.11?

Question

What number comes after 0.10? 0.2 or 0.11? Decimal realm is confusion for me, help:)

Answer 1

There is no immediate successor of $0.1$ within the real (or rational) numbers; just take numbers like

\begin{align*} &0.1 \\ &0.01 \\ &0.001 \\ &0.0001 \\ &\vdots \end{align*}

What we can say, however, is that

$$0.1 < 0.11 < 0.2$$

This is because the first number represents $10$ parts of $100$, the next represents $11$ parts, and the third represents $20$ parts.