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 [latex]\mathbb{Q}[/latex].- The set of positive rational numbers : [latex]\mathbb{Q}[/latex][latex]_{+}[/latex] = {x ∈ [latex]\mathbb{Q}[/latex] | x ≥ 0}
- The set of negative rational numbers : [latex]\mathbb{Q}[/latex][latex]_{–}[/latex] = {x ∈ [latex]\mathbb{Q}[/latex] | x ≤ 0}
- The set of strictly positive rational numbers : [latex]\mathbb{Q}[/latex][latex]_{+}^{*}[/latex] = {x ∈ [latex]\mathbb{Q}[/latex] | x > 0}
- The set of strictly negative rational numbers : [latex]\mathbb{Q}[/latex][latex]_{–}^{*}[/latex] = {x ∈ [latex]\mathbb{Q}[/latex] | x < 0}
Examples
The following numbers are rational numbers :- [latex]\frac{3}{4}[/latex]
- –[latex]\frac{1}{3}[/latex]
- 5
- –7