#### Transcript of What is a Rational Number?

**Rational vs. Irrational Numbers**

What is an irrational number?

An irrational number is any number that can only be written as a decimal that does not end and does not repeat.

Examples:

3.1415926535897932384626433 and so on (also known as pi)- because it is a never ending decimal and does not repeat

What is a Rational Number?

A rational number is any number that can be written as a whole number, a fraction, or a decimal.

Examples:

8- because it is a whole number

3/4- because it is a fraction and can be written as a decimal

.9- because it is a decimal and can be written as a fraction

Rational Explanations

Examples of rational numbers are decimals that are non-terminating and repeat . Another example is the square roots of perfect square numbers. Decimals that are non-terminating means that the decimals never end but have a pattern.

Example of non-terminating numbers= 3.77777777777777 repeating- because it is a decimal with a pattern but does not stop.

Perfect square numbers are the numbers that equal one number multiplied by itself.

Example of perfect square numbers= 36- because it's square root is 6.

Irrational Explanations

Some examples of irrational numbers are the square roots of non-perfect square numbers. This means that a number's square root is a never ending decimal.

Example of the square roots of non-perfect square numbers= 5.830951894845 and so on (this number is the non-perfect square number of 34).

The number above goes on forever and does not repeat or have a pattern. This makes it irrational.

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