Rational vs 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. Its decimal representation goes on forever without repeating.

Front

Give an example of a rational number.

Back

An example of a rational number is 3/4 or 0.75.

Front

Give an example of an irrational number.

Back

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

Front

Is the number -5 rational or irrational?

Back

-5 is a rational number because it can be expressed as -5/1.

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 neither terminates nor repeats.

Front

Is 0.333... a rational number?

Back

Yes, 0.333... is a rational number because it can be expressed as 1/3.

Front

What is the significance of the number 3.74 in terms of rationality?

Back

3.74 is a rational number because it can be expressed as 374/100.

Front

What type of number is √3?

Back

√3 is an irrational number.