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

Give an example of a rational number.

Back

Examples include 1/2, -3, 0, and 4.75.

Front

Give an example of an irrational number.

Back

Examples include π (pi) and √2.

Front

Is 0 a rational number?

Back

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

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 product of a rational number and an irrational number?

Back

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

Front

Is √16 rational or irrational?

Back

√16 is rational because it equals 4, which is an integer.

Front

Is √50 rational or irrational?

Back

√50 is irrational because it cannot be expressed as a fraction of two integers.

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but not a fraction.