Irrational and Rational 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 5.1 a rational number?

Back

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

Front

Is π a rational number?

Back

No, π (pi) is an irrational number because it cannot be expressed as a fraction of two integers.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (ends) or repeats.

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number goes on forever without repeating.

Front

Is 77/3 a rational number?

Back

Yes, 77/3 is a rational number because it can be expressed as a fraction of two integers.

Front

Is 5/2 a rational number?

Back

Yes, 5/2 is a rational number because it can be expressed as a fraction of two integers.

Front

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

Back

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

Front

What is an example of a rational number?

Back

An example of a rational number is 1/4 or 0.75.