Classifying 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. Its decimal representation is non-terminating and non-repeating.

Front

Is √4 a rational or irrational number?

Back

Rational (because √4 = 2, which is an integer).

Front

Is √5 a rational or irrational number?

Back

Irrational (it cannot be expressed as a fraction).

Front

Is 0.333... a rational or irrational number?

Back

Rational (it can be expressed as 1/3).

Front

What is the decimal expansion of an irrational number like √2?

Back

The decimal expansion is non-terminating and non-repeating.

Front

Which of the following is an example of a rational number: 1/2, √3, π?

Back

1/2 (it can be expressed as a fraction).

Front

What is the approximate value of √58?

Back

Between 7 and 8.

Front

Can irrational numbers be negative?

Back

Yes, irrational numbers can be negative (e.g., -√2).

Front

What is the sum of a rational number and an irrational number?

Back

The sum is always irrational.