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

An example of a rational number is 1/2 or 0.75.

Front

Give an example of an irrational number.

Back

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

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 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 a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely, and it is classified as a rational number.

Front

Is the square root of a non-perfect square rational or irrational?

Back

The square root of a non-perfect square is an irrational number.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates or repeats.

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number is non-terminating and non-repeating.