irrational
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rational
A half belongs to the positive fractions family, which comes under fractions, which comes under the large family of rational numbers.
Integers, odd integers, negative integers, odd negative integers, rational numbers, negative rational numbers, real numbers, negative real numbers, square roots of 1, etc.
Rational numbers and Real numbers
2 does belong to the set of imaginary numbers. Any real number is also imaginary. Imaginary numbers are the set of all numbers that can be expressed as a +b*i where "i" is the square root of negative one and "a" and "b" are both real numbers.