Q: How valuable are real numbers?

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

Yes - consecutive serial numbers make them more valuable, when sold.

All rational numbers are real numbers.

Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.

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

No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.

All integers are real numbers, but not all real numbers are integers.

No because natural numbers are a subset of real numbers

False. Irrational numbers are real numbers.

Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.

Any rational or irrational numbers are called real numbers.

Yes, but there are also real numbers that are not.

Real numbers are all numbers which do not contain "i", when "i" represents the square root of -1. All numbers which do contain "i" are "imaginary numbers" and are not real numbers. This means that all numbers you'd ordinarily use are real numbers - all the counting numbers (integers) and all decimals are real numbers. So in answer to your question, all the real numbers that are not whole numbers are all the decimal numbers - including irrational decimals such as pi.

All irrational numbers are real, but not all real numbers are irrational.

Yes, -1 and 1 are real numbers. Real numbers consist of irrational numbers, rational numbers and integers.

A real number is just an ordinary number. The set of real numbers include all numbers between negative and positive infinity. Real numbers are ordered, and thus do not include imaginary numbers. A subset of real numbers refers to a group, or subsection, of real numbers. For instance, the numbers between 5 and 22 are a subset of real numbers. Another example of a subset is all even numbers, or all odd numbers.

The set of complex numbers includes the set of real numbers.

rational numbers and irrational numbers

No. Rational numbers are numbers that can be written as a fraction. All rational numbers are real.

Yes. Every number is a real number. Rational numbers, irrational numbers, Whole numbers, Natural numbers, integers are all real numbers.

Real numbers encompass any number along the number line, infinitely. Integers, whole numbers, natural numbers, etc. are are real numbers.

real numbers

No, not all. All numbers are Real Numbers. * * * * * All numbers are not real numbers: there are complex numbers and others. Also, all real number are not whole numbers. sqrt(2) or pi, for example are real numbers but not whole numbers.

Real NumbersThe real numbers.

Both are subsets of the real numbers.

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