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# What is a Rational Number?

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## Madison Wilmouth

on 20 October 2013

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#### 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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