2.4.3 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 pi (π) a rational or irrational number?

Back

Irrational

Front

Is the square root of 25 (√25) a rational or irrational number?

Back

Rational

Front

Is the square root of 2 (√2) a rational or irrational number?

Back

Irrational

Front

Give an example of a rational number.

Back

Examples include 1/2, 3, -4, and 0.75.

Front

Give an example of an irrational number.

Back

Examples include π (pi) and √3.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (e.g., 0.5) or repeats (e.g., 0.333...).

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number is non-terminating and non-repeating (e.g., 3.14159...).

Front

Is 0 a rational number?

Back

Yes, 0 is a rational number because it can be expressed as 0/1.