👉 In mathematical notation, a "florentine" is defined as an irrational number that cannot be expressed as a ratio of two integers. This means that it has no repeating or terminating decimal expansion and is therefore not representable in base 10 arithmetic. For example, the square root of 2 (approximately 1.41421356) is a florentine because its decimal representation repeats every five digits: ``` 1/1 = 1 1