∴
Rational Numbers
Elementary
Definition
A number that can be expressed as a ratio (fraction) of two integers.
Formulas
ℚ = (a)/(b) \mid a, b ∈ ℤ, b ≠ 0
Set notation for rational numbers
- aNumerator (integer)
- bDenominator (non-zero integer)
Examples
Example 1
Select the rational numbers: 1/2, √2, 0.333..., π
Example 2
Express 0.75 as a fraction in lowest terms.
0.75 = (75)/(100) = (3)/(4)
Applications
Measurement
Exact ratio expression
Cooking
Recipe ingredient ratios
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