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

Is 0 a rational number?

Back

Yes, 0 is a rational number because it can be expressed as 0/1.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely, and it is classified as a rational number.

Front

Is the number 1.5 rational or irrational?

Back

Rational, because it can be expressed as 3/2.

Front

Is the number √2 rational or irrational?

Back

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

Front

What is the decimal representation of 1/4?

Back

0.25, which is a terminating decimal and thus a rational number.

Front

Is π (pi) a rational number?

Back

No, π is an irrational number because it cannot be expressed as a fraction.

Front

What is the square root of 25?

Back

5, which is a rational number.

Front

Can a whole number be an irrational number?

Back

No, whole numbers are always rational numbers.