rational

C1 · Advanced Academic

adj. having the ability to think, understand, and use logic.

adj. possessing the capacity for reason; often used to distinguish humans from other animals in philosophical contexts.

“Aristotle famously described humans as rational animals.”

“The debate centered on whether artificial intelligence could ever truly be considered a rational agent with its own intent.”

B2 · Upper Intermediate Mathematics Technical

adj. describing a number that can be shown as a simple fraction.

adj. relating to or being a number that can be expressed as the quotient of two integers.

“The number 0.75 is rational because it can be written as three-quarters.”

“The proof demonstrates that while the square root of two is irrational, its square is a rational integer.”

C1 · Advanced Countable noun Mathematics Technical

n. a number that can be expressed as one integer divided by another.

n. a rational number; any value that can be represented as a ratio of two integers where the denominator is not zero.

“In this equation, x must be a rational rather than an irrational number.”

“The set of rationals is dense, meaning that between any two distinct rational numbers, there exists another rational.”