Identifying Rational and 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

Back

Rational (R) because it can be expressed as a fraction.

Front

Back

Irrational (I) because the square root of 2 cannot be expressed as a fraction.

Front

Is 0.75 rational or irrational?

Back

Front

Back

Irrational (I) because it cannot be expressed as a fraction.

Front

Is -3.5 rational or irrational?

Back

Front

Back

Rational (R) because it equals 3, which is an integer.

Front

Is 0.333... rational or irrational?

Back

Front

Back

Irrational (I) because it cannot be expressed as a fraction.