Identifying Rational and Irrational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction or ratio 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 √16 a rational or irrational number?

Back

Rational, because √16 = 4, which is an integer.

Front

Is √8 a rational or irrational number?

Back

Irrational, because √8 cannot be expressed as a fraction of two integers.

Front

What is an example of a rational number?

Back

2.25, because it can be expressed as 9/4.

Front

What is an example of an irrational number?

Back

π (pi), because it cannot be expressed as a fraction.

Front

How do you determine if a number is rational?

Back

Check if it can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

Front

What is the decimal representation of a rational number?

Back

It either terminates (like 0.5) or repeats (like 0.333...).

Front

What is the decimal representation of an irrational number?

Back

It is non-terminating and non-repeating (like 3.14159...).

Front

If Juan has $20 and spends $3 each day for 5 days, how much does he have left?

Back

$5.