Question

What is the definition of an irrational number?

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

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

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

D.
a number that is more than 10 digits

Answer 1

C

An irrational number is a real number that cannot be written as a ratio p/q of integers (q ≠ 0). Equivalently, its decimal expansion is nonterminating and nonrepeating (examples: √2, π).