Let us take a simple example where $n=1$. When a single digit number, say $a$ is multiplied by $10^1$, the answer comes out to be "$a0$". If a number is $a_1a_2a_3\dots a_k$, then multiplication with $10^1$ gives "$a_1a_2a_3\dots a_k0$".
If number is multiplied with $10^2=100$, then there are $2$ zeroes at the end. Following the same pattern, if a certain number with any decimal part is multiplied with $10^n$, there are $n$ zeroes at the last.
This all is super$^\infty$ easy and obvious, but is there an even simpler or somewhat intuitive reason why these all zeroes are just "attached" to the number, an explanation which is suitable for a small kid who is a newbie at Mathematics?
As far as I think, there is no suitable explanation which is "simple" enough for a kid to understand. Excpeting the "suitable for newbie" clause, is there some interesting interpretation of multiplication with powers of $10$ ?
If we interpret Multiplication as a "Repetitive Addition", for example $a \times b$ is just $\underbrace {a+a+\dots +a}_{\text{b times}}$, then also it is not quite "intuitive" why there suddenly appears a zero out of nowhere when $b=10^c \,\,;c \in \mathbb{N}$.
Hopefully this elementary question isn't too "off-topic" for this website. I think something constructive will appear as a result of discussion over this question.
Thanks in Advance !