Accepted Answer
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.