Rational vs Irrational

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

Give an example of a rational number.

Back

An example of a rational number is -5/8.

Front

Give an example of an irrational number.

Back

An example of an irrational number is √3.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates or repeats.

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number is non-terminating and non-repeating.

Front

Is the number 3.74 rational or irrational?

Back

3.74 is a rational number because it can be expressed as 374/100.

Front

What are whole numbers?

Back

Whole numbers are the set of non-negative integers, including zero: {0, 1, 2, 3, ...}.

Front

Is the square root of 50 rational or irrational?

Back

The square root of 50 is an irrational number.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions of integers, while irrational numbers cannot be expressed as such.