Rational and Irrational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a ratio 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 ratio of two integers.

Front

Is 0.141414141414... a rational or irrational number?

Back

Rational - it can be expressed as 14/99.

Front

Is π (pi) a rational or irrational number?

Back

Irrational - it cannot be expressed as a fraction of two integers.

Front

Which number is between 7 and 8: √7, √42, √59, √68?

Back

√59.

Front

Is √2 a rational or irrational number?

Back

Irrational - it cannot be expressed as a fraction.

Front

What is an example of a rational number?

Back

Examples include 1/2, 3, and -4.

Front

What is an example of an irrational number?

Back

Examples include √3, π, and e.

Front

What is the decimal representation of a rational number?

Back

It either terminates (like 0.5) or repeats (like 0.333...).

Front

What is the decimal representation of an irrational number?

Back

It is non-terminating and non-repeating (like 0.14159...).