Another name for 'rational' is "numbers that are equal to the ratio of
two whole numbers".
Another name for 'irrational' is "numbers that are not equal to the ratio of
any two whole numbers".
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the real numbers
There is no specific name. Such numbers include all irrational numbers, all non-integral rational numbers, 0 and 1.
One, and e.
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.
The numbers called that are used in exponents can be called as a power of a number. The power or exponent can be positive , negative , zero .