Identifying number as rational or 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

Give an example of a rational number.

Back

Examples include 1/2, 3, -4, and 0.75.

Front

Give an example of an irrational number.

Back

Examples include √2, π (pi), and e (Euler's number).

Front

Is the number 0.333... rational or irrational?

Back

Rational - it can be expressed as 1/3.

Front

Is the number √4 rational or irrational?

Back

Rational - it equals 2.

Front

Is the number 5.72314... rational or irrational?

Back

Irrational - it cannot be expressed as a simple fraction.

Front

What is the sum of a rational number and an irrational number?

Back

The sum is always irrational.

Front

What is the product of two rational numbers?

Back

The product is always rational.

Front

Can a rational number be negative?

Back

Yes, rational numbers can be positive, negative, or zero.