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. Examples include 1/2, 3, and -4.

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. Examples include √2, π, and e.

Front

Is 0 a rational number?

Back

Yes, 0 is a rational number because it can be expressed as 0/1.

Front

Is 1.5 a rational number?

Back

Yes, 1.5 is a rational number because it can be expressed as 3/2.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (like 0.75) or repeats (like 0.333...).

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number neither terminates nor repeats. For example, π = 3.14159... is non-repeating and non-terminating.

Front

Is the square root of 4 rational or irrational?

Back

The square root of 4 is rational because it equals 2, which can be expressed as 2/1.

Front

Is the square root of 5 rational or irrational?

Back

The square root of 5 is irrational because it cannot be expressed as a fraction of two integers.

Front

What is an example of a rational number?

Back

An example of a rational number is 1/4.

Front

What is an example of an irrational number?

Back

An example of an irrational number is √3.