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; its decimal representation goes on forever without repeating.

Front

Is the number 0.75 rational or irrational?

Back

Rational, because it can be expressed as 3/4.

Front

Is the number √2 rational or irrational?

Back

Irrational, because it cannot be expressed as a fraction.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

Is the number 16 a perfect square?

Back

Yes, because 4 x 4 = 16.

Front

What is the square root of 25?

Back

5, which is a rational number.

Front

What is the decimal representation of 1/3?

Back

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

Front

What are whole numbers?

Back

Whole numbers are non-negative numbers without fractions or decimals, including zero (0, 1, 2, 3, ...).

Front

Is the number 0.141414... rational or irrational?

Back

Rational, because it can be expressed as 14/99.