What is the difference between rational and irrational numbers? and we believe whole numbers are 0 and any number after it to the positive side. what are the negative numbers called, just integers?
we are also a little confused about the difference in counting numbers and whole numbers, are they the same?

Definition:
Every rational number can be written as a fraction with whole numbers
on top and bottom.  Irrational numbers can't.

Working method of recognizing them:
Any number that you can write down completely, on paper, using number digits without any symbols, is a rational number, whether you write it as a fraction or as a decimal.

Popular misconception:
A rational number doesn't necessarily produce a decimal that ends, and a decimal that never ends is not necessarily an irrational number.
Examples:  1/3, 1/7, 1/9, 1/11 are never-ending in decimal form.

Whole numbers are the positive integers and zero.

Counting numbers are the whole numbers without zero.

Integers are the whole numbers plus their negatives.