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Are rational and irrational numbers real numbers?

Answer 1

Yes.

A common explanation for real numbers is that they are all the numbers on a number line.

Think about the two basic categories of numbers on the number line: the rational numbers, which are those that we can represent as a fraction of two integers, like:

#1/2, 5/3, 22/7, -3887/4,etc#

and the Irrational Numbers, which are those that we are unable to express as a fraction:

#sqrt2, pi, e, -sqrt5,etc#

(note that while #22/7# is an often used approximation for #pi#, #pi# itself can't be expressed as a fraction).

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Answer 2

Genesis Amaya

Yes, both rational and irrational numbers are considered real numbers.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.