1.2: Rational and Irrational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers, and 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 0.4444... a rational or irrational number?

Back

Rational

Front

Is 2.25 a rational or irrational number?

Back

Rational

Front

Why are irrational numbers called irrational?

Back

Irrational numbers cannot be written as a fraction.

Front

Is 0.141414... a rational or irrational number?

Back

Rational

Front

Give an example of an irrational number.

Back

An example of an irrational number is √2 or π (pi).

Front

What is the decimal representation of a rational number like?

Back

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

Front

What is the decimal representation of an irrational number like?

Back

The decimal representation of an irrational number is non-terminating and non-repeating.

Front

Can the number 1/3 be classified as rational or irrational?

Back

Rational