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 \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \).

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 \( \frac{a}{b} \) where \( a \) and \( b \) are integers.

Front

Is \( \sqrt{2} \) rational or irrational?

Back

\( \sqrt{2} \) is irrational.

Front

Is \( -19.4567 \) rational or irrational?

Back

\( -19.4567 \) is rational.

Front

Is \( \frac{1}{2} + \frac{9}{125} \) rational or irrational?

Back

\( \frac{1}{2} + \frac{9}{125} \) is rational.

Front

Is \( \sqrt{5} \) rational or irrational?

Back

\( \sqrt{5} \) is irrational.

Front

Is \( -14.3467498884384575993874... \) rational or irrational?

Back

\( -14.3467498884384575993874... \) is irrational.

Front

What is an example of a rational number?

Back

An example of a rational number is \( \frac{3}{4} \) or \( 0.75 \).

Front

What is an example of an irrational number?

Back

An example of an irrational number is \( \pi \) or \( e \).

Front

Can the sum of two rational numbers be irrational?

Back

No, the sum of two rational numbers is always rational.