Properties of rational and irrational numbers:

**Rational Numbers:** Can be expressed as a fraction `\frac{a}{b}` where \(a\) and \(b\) are integers, and \(b \neq 0\). They have either terminating or repeating decimal expansions.

**Irrational Numbers:** Cannot be expressed as a simple fraction. Their decimal expansions are non-terminating and non-repeating. Examples include \(\sqrt{2}\), \(\pi\), and \(e\). They fill the gaps between rational numbers on the number line.

Algebra 1

Algebra Foundations