A real number system includes:
• Natural Numbers (Also known as counting numbers)
• Whole Numbers (These are basically natural numbers with the addition of 0)
,• Integers (These are basically all positive and negative whole numbers combined)
,• Rational Numbers (these numbers can be represented as a simple ratio)
,• Irrational Numbers (these numbers cannot be represented as a simple ratio)
Example:
The following are the examples of what kind of numbers these systems have.
Natual numbers = {1, 2, 3, 4,...}
Whole numbers = {0, 1, 2, 3, 4,...}
Integers = {...,-4, -3, -2, -1, 0, 1, 2, 3, 4,...}
Rational Numbers = {1/2, 1/4, 3/5, 0.333, 0.78}
Irrational Numbers = {π, √2}
Since 1/4 is fraction meaning that it can be represented as a simple ratio, therefore, it best fits in the category of rational numbers.