# Set of Rational Numbers

## Set of Rational Numbers

The set of numbers obtained from the quotient of a and b where a and b are integers and b is not equal to 0.

### Symbol

The set of rational numbers is denoted by the symbol $$\mathbb{Q}$$.

• The set of positive rational numbers : $$\mathbb{Q}$$$$_{+}$$ = {x ∈ $$\mathbb{Q}$$ | x ≥ 0}
• The set of negative rational numbers : $$\mathbb{Q}$$$$_{–}$$ = {x ∈ $$\mathbb{Q}$$ | x ≤ 0}
• The set of strictly positive rational numbers : $$\mathbb{Q}$$$$_{+}^{*}$$ = {x ∈ $$\mathbb{Q}$$ | x > 0}
• The set of strictly negative rational numbers : $$\mathbb{Q}$$$$_{–}^{*}$$ = {x ∈ $$\mathbb{Q}$$ | x < 0}

All natural numbers, integers and decimals are rational numbers.

### Examples

The following numbers are rational numbers :

• $$\frac{3}{4}$$
• –$$\frac{1}{3}$$
• 5
• –7