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Numbers that include real numbers are natural numbers, whole numbers, integers, rational numbers and Irrational Numbers.

Q: What kind of numbers belongs to the family of real numbers?

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Irrational: it cannot be written exactly in the decimal notation.

Among other things, it belongs to the following sets: positive numbers; irrational numbers; algebraic 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.

It belongs to the set ofrational numbers,decimal fractions,improper fractions (in decimal form),real numbers,complex numbers,quaternions.

Related questions

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.

Rationals and the reals, themselves.

irrational

Pi belongs to the sets of real numbers, transcendental numbers and irrational numbers.

RATIONAL , doing the same program .

Integer, Real, whole, and natural. I may have skipped a few.