Question

What is the definition of an irrational number with some examples?

Answer 1

An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.

Common Examples of Irrational Numbers

Pi, which begins with 3.14, is one of the most common irrational numbers. Pi is determined by calculating the ratio of the circumference of a circle (the distance around the circle) to the diameter of that same circle (the distance across the circle). Pi has been calculated to over a quadrillion decimal places, but no pattern has ever been found; therefore it is an irrational number.

Answer 2

Answer:

Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers.

This is opposed to rational numbers, like 2, 7, one-fifth and -13/9, which can be, and are, expressed as the ratio of two whole numbers.

When expressed as a decimal, irrational numbers go on forever after the decimal point and never repeat.

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