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. This includes integers, fractions, and terminating or repeating decimals.

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, and its decimal representation is non-terminating and non-repeating.

Front

Is 4π a rational or irrational number?

Back

Irrational

Front

Which of these is an example of a rational number: √4, √5, √3, √2?

Back

√4 (because it equals 2, which is an integer).

Front

What types of numbers are included in rational numbers?

Back

Integers, fractions, terminating decimals, and repeating decimals.

Front

Is √25 a rational or irrational number?

Back

Rational (because it equals 5, which is an integer).

Front

Which of these is an example of an irrational number: √2, √1, √9, √25?

Back

√2 (it cannot be expressed as a fraction).

Front

What is an example of a terminating decimal?

Back

0.75 (it can be expressed as 3/4, which is a rational number).

Front

What is an example of a repeating decimal?

Back

0.333... (it can be expressed as 1/3, which is a rational number).

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.