Question

explain what are rational numbers and irrational numbers, and what are the differences between them?

Answer 1

We will have the following:

Rational numbers: Rational numbers are all the numbers that can be expressed as a quotient:

$\frac{p}{q}$

Where p and q are both integers and where q is different to 0. Examples are:

$\begin{gathered} 1 \\ \frac{3}{4} \\ \frac{50}{2} \\ \end{gathered}$

Irrational numbers: Irrational numbers are all the real numbers that are not rational, and thus cannot be expressed as a quotient. Examples are:

$\begin{gathered} \pi \\ e \\ \sqrt{3} \end{gathered}$

And more numbers that cannot be written as rational numbers.