Are rational and irrational numbers real numbers?

1 Answer
MathFact-orials.blogspot.com
Mar 8, 2018

Yes.

Explanation:

Real numbers are often explained to be all the numbers on a number line.

Consider that there are two basic types of numbers on the number line. There are those which we can express as a fraction of two integers, the Rational Numbers , such as:

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

and those which we can't express as a fraction, the Irrational Numbers :

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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