look, we can't teach you the complexities of economics on this thread alone. you will have to do alot of reading and studying on your own time if you want to understand what money is. it takes a LONG time and this thread is getting too long too.
i would start by reading the Creature From Jekyll Island by G. Edward Griffin and then move to Mises.org for an understanding of the gold standard.
But it's backed by the full faith and credit of the USA... That all you need to know. What could possibly be wrong with that?