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These numbers are real in contrast to complex numbers which contain an element which is called imaginary.

All this arises because the square of any "normal" number is non-negative. So it is not possible to take the square root of a negative number. In some cases, though, there are mathematical advantages in being able to do so. So mathematicians introduce i, the square root of -1. Numbers involving i are said to be imaginary and, by way of contrast, those that don't, are said to be real. A number comprising a real part and an imaginary part is called a complex number.

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Q: What is real about real numbers?
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Related questions

Are natural numbers real numbers?

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


What rational numbers are real numbers?

All rational numbers are real numbers.


Is a real number a whole number?

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.


What is the set of numbers including all irrational and rational numbers?

real numbers


What is the relation of complex numbers to real numbers?

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


Are real numbers natural numbers?

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


What are the component of real numbers?

Real Numbers cannot be the square root of a negative number. Real Numbers are not divided by zero. Basically, Real Numbers cannot be anything that is undefined.


Are -1 and 1 real numbers?

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


Are real numbers irrational 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.


True or false irrational numbers are not real numbers?

False. Irrational numbers are real numbers.


Are real numbers a subset of natural numbers?

No because natural numbers are a subset of real numbers


Are some real numbers rational numbers?

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