Integral domain

Imagine you have a bunch of toys that you want to count. You can count them one by one, but it takes a long time. But what if you could group them together in a special way so that you could count them more easily? This is kind of like what an "integral domain" is.

An integral domain is a special type of "number system" where you can group certain numbers together and then easily do multiplication and addition with them. But not every number system can be an integral domain. Just like you can't group your toys into piles if you have broken or missing toys, some number systems have "weird" numbers that can't be grouped together in this special way.

So, an integral domain is a special type of number system where you can group certain numbers together and do math with them more easily, because they don't have any weird numbers that can't be grouped together.