A real number system includes:
• Natural Numbers (Also known as counting numbers)
• Whole Numbers (These are basically natural numbers with the addition of 0)
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• Integers (These are basically all positive and negative whole numbers combined)
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• Rational Numbers (these numbers can be represented as a simple ratio)
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• 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.