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No because natural numbers are a subset of real numbers

Q: Are real numbers a subset of natural numbers?

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No. But all whole numbers are in the set of rational numbers. Natural numbers (ℕ) are a subset of Integers (ℤ), which are a subset of Rational numbers (ℚ), which are a subset of Real numbers (ℝ),which is a subset of the Complex numbers (ℂ).

Integers are a subset of rational numbers which are a subset of real numbers which are a subset of complex numbers ...

No. There are several real numbers that are not rational (e.g. pi). However, every rational number is also a real number. In general, whole numbers/natural numbers is a subset of the integers (i.e. every whole number is an integer), the integers is a subset of the rationals, the rationals are a subset of the real numbers. I think the real numbers are a subset of the complex numbers, but I'm not 100% positive on that.

The complex numbers.

The rational numbers, since it is a proper subset of the real numbers.

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No. Natural numbers are a proper subset of real numbers.

Natural numbers are a subset of the set of integers, among others.

Yes.

Yes, all natural numbers are real numbers. Natural numbers are a subset of real numbers, so not all real numbers are natural numbers.

No. Natural numbers are a very small subset of real numbers.

The subset consisting of the one number, 7.5 : {7.5}

Irrational numbers.

Starting at the top, we have the real numbers. The rational numbers is a subset of the reals. So are the irrational numbers. Now some rationals are integers so that is a subset of the rationals. Then a subset of the integers is the whole numbers. The natural numbers is a subset of those.

The natural numbers (ℕ) are a subset of the integers (ℤ) which are a subset of the rational numbers (ℚ) which are a subset of the real numbers (ℝ): ℕ ⊂ ℤ ⊂ ℚ ⊂ ℝ → ℕ ⊂ ℝ and ℤ ⊂ ℝ as well as ℚ ⊂ ℝ

Natural numbers are just whole positive numbers. Since whole positive numbers can represent a distance along a line, they are a subset of real numbers.

Natural numbers = Whole numbers are a subset of integers (not intrgers!) which are a subset of rational numbers. Rational numbers and irrational number, together, comprise real numbers.

No. But all whole numbers are in the set of rational numbers. Natural numbers (ℕ) are a subset of Integers (ℤ), which are a subset of Rational numbers (ℚ), which are a subset of Real numbers (ℝ),which is a subset of the Complex numbers (ℂ).