Rational and Irrational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a 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 \( \sqrt{5} \) rational or irrational?

Back

Irrational

Front

Is 0.̅̅6̅̅6 rational or irrational?

Back

Rational

Front

Which of the following is irrational: 9.6, \( \sqrt{2} \), or \( \frac{3}{8} \)?

Back

\( \sqrt{2} \)

Front

What type of number is a fraction?

Back

Rational

Front

What type of number is a repeating decimal like 0.̅̅6̅̅6?

Back

Rational

Front

Give an example of a rational number.

Back

An example of a rational number is \( \frac{1}{2} \) or 0.75.

Front

Give an example of an irrational number.

Back

An example of an irrational number is \( \pi \) or \( \sqrt{3} \).

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (like 0.5) or repeats (like 0.̅̅3̅̅).