Rational vs. Irrational

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. It is classified as a rational number.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal number that has one or more digits that repeat infinitely. It is also classified as a rational number.

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 has a non-repeating, non-terminating decimal expansion.

Front

Is the number 0.75 rational or irrational?

Back

0.75 is a rational number because it can be expressed as the fraction 3/4.

Front

Is the number √2 rational or irrational?

Back

√2 is an irrational number because it cannot be expressed as a fraction of two integers.

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is a rational number.

Front

Give an example of a rational number.

Back

An example of a rational number is 1/2 or 0.5.

Front

Give an example of an irrational number.

Back

An example of an irrational number is π (pi) or √3.

Front

What is the sum of two rational numbers?

Back

The sum of two rational numbers is always a rational number.