What is the decimal representation of the 10-adic 1 000...000?

Question

What is the decimal representation of the 10-adic 1 000...000?

The space character is for clarity only.

Answer 1

Decimals of the $10$-adic numbers go potentially infinite long on the left, for example, we have $\dots 999999999=-1$.

There is no such thing that a digit before the countably infinte digits... The remaining $1$ keeps being thrown on the left when processing $\dots 999999+\dots 000001$, and eventually it will be lost at the end.

A $p$-adic number has an $n$th digit for each natural number $n$, and is fully determined by these digits, but this $n$ itself can't be infinty. Actually, dropping the remainder at the edge of infinity is a basic feature of $p$-adics..