Flashcard - 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

What is the 'magic denominator' used for converting repeating decimals to fractions?

Back

The 'magic denominator' is 9.

Front

How can you identify if a number is rational or irrational?

Back

A number is rational if it can be expressed as a fraction of two integers. If it cannot be expressed in this way, it is irrational.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (ends) 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

What is the square root of 7 classified as?

Back

The square root of 7 is classified as an irrational number.

Front

What type of number is -5 2/3?

Back

-5 2/3 is a rational number.

Front

What is the value of 4π?

Back

4π is an irrational number.

Front

Between which two consecutive integers does √71 fall?

Back

√71 falls between the integers 8 and 9.