Definition: A number that is not a fraction; an element of the infinite and numerable set {..., -3, -2, -1, 0, 1, 2, 3, ...}.

Alright class, settle down now, let’s talk about integers! You’ve read the dictionary, quite bright, it gives a good start – that’s right. It says they’re “not fractions,” don’t you see? A whole number’s what they ought to be! Think of it like this, a simple plea: Integers are numbers, perfectly free! From negative depths, a chilly plight, down to zero, shining bright. Then positive numbers, climbing high, reaching upwards toward the sky! Like -3, -2, and -1 you'll find, then zero’s there, peaceful and kind. And one, two, three – they follow through, a continuous sequence, just for you! It's an infinite set, don’t despair, a never-ending number pair! Think of all the whole numbers, it's true, from minus infinity, right to you. So “numerable” means we can count, each integer, without a doubt! It’s a collection vast and deep, secrets that these numbers keep! Does that make sense? Any questions for me? Let’s discuss!