How can you classify the results of operations on real numbers

There are different levels of classification when it comes to numbers. The general classification is between real numbers and imaginary numbers. Imaginary numbers are those with 'i' in them which is equal to √-1. Next, real numbers can be classified as rational or irrational. Irrational numbers are those that can't be expressed into fractions. Lastly, rational numbers are classified into integers and fractions.