Rational and Irrational Numbers

Front

What is a rational number?

Back

A number that can be expressed as a fraction (p/q), where p and q are integers and q ≠ 0.

Front

What is an irrational number?

Back

A number that cannot be expressed as a fraction (p/q) and has a non-repeating, non-terminating decimal expansion.

Front

Give an example of a rational number.

Back

3/4, -2, 0.5, 7

Front

Give an example of an irrational number.

Back

π (pi), √2, √3, e (Euler’s number)

Front

Is 0 a rational number?

Back

Yes, because it can be written as 0/1.

Front

Is 1.3333... (1.3 repeating) a rational number?

Back

Yes, because it can be written as 4/3.

Front

Is √4 a rational number?

Back

Yes, because √4 = 2, which is an integer.

Front

Is √5 a rational number?

Back

No, because √5 is an irrational number with a non-repeating, non-terminating decimal.

Front

What type of decimal do irrational numbers have?

Back

Non-repeating and non-terminating decimals.

Front

Are all integers rational numbers?

Back

Yes, because any integer n can be written as n/1.