Rational and Irrational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it cannot be written as a ratio of two integers.

Front

Is the number 0.̅̅6̅̅6 rational or irrational?

Back

Rational

Front

Is the number √5 rational or irrational?

Back

Irrational

Front

Which of the following is a rational number: 1/3, π, √3?

Back

1/3

Front

Is the number √9 rational or irrational?

Back

Rational

Front

What type of number is a repeating decimal like 0.̅̅6̅̅6?

Back

Rational

Front

Give an example of an irrational number.

Back

An example of an irrational number is π (pi) or √2.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (like 0.5) or repeats (like 0.̅̅3̅̅).

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number is non-terminating and non-repeating.