What is the definition of an irrational number?

A. a number that can be written as a fraction but not as a decimal

B. a number that cannot be expressed as a fraction p/q , where p and q are integers and q is not equal to zero

C. a number that is more than 10 digits

D. a number that can be expressed as a fraction, p/q , where p and q are integers and q is not equal to zero

1 answer

The correct definition of an irrational number is:

B. a number that cannot be expressed as a fraction p/q, where p and q are integers and q is not equal to zero.

Irrational numbers cannot be represented as a simple fraction, and their decimal expansions are non-repeating and non-terminating.