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The real number system is the set of numbers on a regular number line. This includes rational and irrational numbers. The imaginary numbers start appearing when you do science, engineering, and electricity.
Our number system is based on the number ten, and as a result, it is called the decimal system.
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The Mayan number system is vigesimal (based on twenties)The Roman number system is decimal (based on tens)
The real number system is a number system using the rational and irrational numbers.