Yes.
No because natural numbers are a subset of real numbers
No. Natural numbers are a proper subset of real numbers.
Natural numbers are a subset of the set of integers, among others.
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).