Rational vs. Irrational

Front

A terminating decimal is

Back

rational.

Front

The square root of a perfect square is

Back

rational.

Front

What is a rational number?

Back

A number that can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

Front

What is an irrational number?

Back

A number that cannot be expressed as a simple fraction; its decimal representation is non-terminating and non-repeating.

Front

Is the number 0.75 rational or irrational?

Back

rational.

Front

Is the number √2 rational or irrational?

Back

irrational.

Front

What is the decimal representation of 1/3?

Back

0.333..., which is a repeating decimal and thus rational.

Front

What is the square root of 16?

Back

4, which is rational.

Front

Is the number π (pi) rational or irrational?

Back

irrational.

Front

What is the sum of two rational numbers?

Back

Always rational.