Question

Classify each of the following as rational or irrational:

-5

√11

2/3

0.5

√16

pi

Answer 1

Rational:-5, 2/3, 0.5, sqrt 16

Irrational: sqrt 11, pi

Explanation:

A rational number is a number which can be represented as a ratio or fraction and whose decimal is terminating or repeating. This includes all whole numbers positive and negative too.

Ex. -5, 2/3, 0.5, sqrt 16

An irrational number is a number that CANNOT be represented as a ratio or fraction and whose decimal is NOT terminating or repeating. These often include square roots and numbers like pi.

Ex. sqrt 11, pi