rational numbers
noun1
Mathematics, Sciences The set of numbers that can be expressed as a ratio of integers, often denoted with the bold letter Q, or the blackboard bold letter ℚ.
- Elementary number theory is concerned with the arithmetic properties of the ring of integers, ℤ, and its field of fractions, the rational numbers, ℚ.2002, Michael Rosen, Number Theory in Function Fields, page vii:
- However, if our ring of interest is the rational numbers ℚ, then we see that[…].2004, Ronald S. Irving, Integers, Polynomials, and Rings: A Course in Algebra, page 127:
1 more example
- In the analysis that follows, properties of an ordered quotient field (Birkhoff & MacLane, 1953) are considered, because this chapter is focusing on the rational numbers, a prime example of such a field.2012, Thomas E. Kieren, “3: Rational and Fractional Numbers: From Quotient Fields to Recursive Understanding”, in Thomas P. Carpenter, Elizabeth Fennema, Thomas A. Romberg, editors, Rational Numbers: An Integration of Research, page 53: