# Set of Rational Numbers

noun
• set theory
the set of numbers defined by the quotient of two numbers belonging to the set of integers, where the divisor is non-zero.

## Description

The set of rational numbers, written using the symbol , is the set numbers defined by the quotient of two numbers belonging to the set of integers, where the divisor is non-zero.

The set of rational numbers gives good coverage over the number line but notably does not contain irrational, complex, or transcendental numbers.

## Related Terms

The set of integers, denoted as ℤ, includes all positive and negative whole numbers, along with zero. For example, the numbers -2, 0 and 3 are all integers, but numbers like 1/2 or the square root of 2 are not.

The set of real numbers, denoted as ℝ, includes all rational and irrational numbers. It represents the entire continuum of possible number values from negative infinity to positive infinity.

The set of complex numbers contains all possible complex numbers. Each complex number has a real part and an complex part.