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It would be a bit stupid to call a system the real number system if real numbers were not a part of it!

Q: Why is a real number is a component of the real number system?

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component of real number

Yes - 67 is real because it does not have an imaginary component.

Yes. -10.39 is real because it does not have an imaginary component.

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.

The real number system is a number system using the rational and irrational numbers.

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component of real number

If a number is pure imaginary then it has no real component. If it is a real number, then there is no imaginary component. If it has both real and imaginary components, then it is a complex number.

A real number is a number that does not have an imaginary component. There is no imaginary component in -17, so it is a real number.

A complex number has two components: a real component and an imaginary one, and is usually written in the form x+yi where i is the imaginary square root of -1. The real component of such a number is x.

Yes - 67 is real because it does not have an imaginary component.

Yes. -10.39 is real because it does not have an imaginary component.

The real number system is a number system using the rational and Irrational Numbers.

The real number system is a number system using the rational and irrational 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.

real number system (diagram) and explain it

100 is an element in the real number system. It is a member of the set of real numbers.

-29 is an element of the real number system. That is to say, it belongs to the set of real numbers.