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 has a non-repeating, non-terminating decimal expansion.

Front

Is the number 0.141414141414... rational or irrational?

Back

Rational, because it can be expressed as \( \frac{14}{99} \).

Front

Convert 0.25 to a fraction in simplest form.

Back

\( \frac{1}{4} \)

Front

Which number is between 7 and 8?

Back

\( \sqrt{59} \)

Front

True or False: A rational number can be written as a fraction.

Back

True.

Front

Is 4π rational or irrational?

Back

Irrational, because π is an irrational number.

Front

What is the decimal representation of \( \frac{1}{3} \)?

Back

0.333... (repeating decimal).

Front

Give an example of an irrational number.

Back

An example of an irrational number is \( \sqrt{2} \).

Front

What is the sum of a rational number and an irrational number?

Back

The sum is always irrational.