Indicate whether the statement is true or false.
-Any number which can be represented on the number line and which is not rational, is irrational.

Question

Quizplus · Accepted Answer

This is the definition of irrational numbers. Rational numbers can be represented as the quotient of two integers and can be located on the number line, while irrational numbers cannot be expressed as a quotient of integers and are located between the rational numbers on the number line. Therefore, any number that can be located on the number line and is not a rational number must be an irrational number. This is the definition of an irrational number.

Indicate Whether the Statement Is True or False