Rational and Irrational Numbers

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

Is the number \( \frac{5}{7} \) rational or irrational?

Back

Rational number.

Front

What type of number is a non-perfect square?

Back

Irrational.

Front

Which of the following is a rational number: \( \sqrt{16} \) or \( \sqrt{2} \)?

Back

\( \sqrt{16} \) is a rational number.

Front

What is an example of an irrational number?

Back

An example of an irrational number is 5.72314... (a non-repeating, non-terminating decimal).

Front

Can a whole number be a rational number?

Back

Yes, all whole numbers are rational numbers because they can be expressed as a fraction with a denominator of 1.

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.

Front

Is the number 0.333... rational or irrational?

Back

Rational, because it can be expressed as \( \frac{1}{3} \).