Rational/Irrational

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 4.032 a rational number?

Back

Yes, 4.032 is a rational number because it can be expressed as a fraction (4032/1000).

Front

Which of the following is rational: 0.211232112421125..., π, or 5.1?

Back

5.1 is a rational number because it can be expressed as 51/10.

Front

Is -5/8 a rational number?

Back

Yes, -5/8 is a rational number because it is a fraction of two integers.

Front

Which of the following numbers is irrational: 2.828427..., ¾, 2, or -1.325?

Back

2.828427... is an irrational number because it cannot be expressed as a fraction.

Front

Back

Rational, because it is a fraction of two integers.

Front

What is the decimal representation of a rational number?

Back

A rational number can have a terminating or repeating decimal representation.

Front

What is the decimal representation of an irrational number?

Back

An irrational number has a non-terminating, non-repeating decimal representation.

Front

Give an example of a rational number.

Back

An example of a rational number is 1/2 or 0.75.