Rational/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

Is 5/2 a rational number?

Back

Yes, 5/2 is a rational number because it can be expressed as a fraction of two integers.

Front

Is 4.032 a rational number?

Back

Yes, 4.032 is a rational number because it can be expressed as a fraction (4032/1000).

Front

Is 7.94 x 10^6 a rational number?

Back

Yes, 7.94 x 10^6 is a rational number because it can be expressed as a fraction.

Front

Which of the following is an example of an irrational number?

Back

√27 is an example of an irrational number.

Front

Which of the following is an example of a rational number?

Back

√64 is an example of a rational number because it equals 8, which is an integer.

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

Can a whole number be a rational number?

Back

Yes, all whole numbers are rational numbers because they can be expressed as a fraction with a denominator of 1.