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.

Front

What is the sum of two rational numbers?

Back

The sum of two rational numbers is always a rational number.

Front

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

Back

The sum of a rational number and an irrational number is always an irrational number.

Front

What is the product of two rational numbers?

Back

The product of two rational numbers is always a rational number.

Front

What is the product of a nonzero rational number and an irrational number?

Back

The product of a nonzero rational number and an irrational number is always an irrational number.

Front

Give an example of a rational number.

Back

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

Front

Give an example of an irrational number.

Back

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

Front

Is the number 0.333... rational or irrational?

Back

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

Front

Is the number √3 rational or irrational?

Back

√3 is an irrational number because it cannot be expressed as a fraction of two integers.