Among other things, it belongs to the following sets: positive numbers; irrational numbers; algebraic numbers.
Numbers that include real numbers are natural numbers, whole numbers, integers, rational numbers and irrational numbers.
Real numbers; also the rational numbers.
Of the "standard sets" -10 belongs to: ℤ⁻ (the negative integers) ℤ (the integers) ℚ⁻ (the negative rational numbers) ℚ (the rational numbers) ℝ⁻ (the negative real numbers) ℝ (the real numbers) ℂ (the complex numbers) (as ℤ ⊂ ℚ ⊂ ℝ ⊂ ℂ). Other sets are possible, eg the even numbers.
No. Negative numbers are real but their square roots are not.
irrational
Integer, Real, whole, and natural. I may have skipped a few.
Negative integers, rationals and real numbers
Rational
rational
Positive numbers
Rational
Irrational
A half belongs to the positive fractions family, which comes under fractions, which comes under the large family of rational numbers.
Among other things, it belongs to the following sets: positive numbers; irrational numbers; algebraic numbers.
Rationals and the reals, themselves.
Numbers that include real numbers are natural numbers, whole numbers, integers, rational numbers and irrational numbers.