And also what is/makes a integer?
In: 0
The integers: “whole numbers” ie 0, 1, 2, 3, 4…, but also -1, -2, -3, -4….
Rational numbers: fractions, numbers that can be represented as one integer divide by another. 1/2, -7/65, etc. Note that all integers are also rational (if you like you can say that eg 4 = 4/1 so that they look like the other rationals).
Irrationals: numbers that aren’t rational, like the square root of 2 or π.
That’s really all there is to it. It may be surprising that irrational numbers exist (Pythagoras had the person who proved that the square root of 2 was irrational murdered).
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