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.
