are all terminating and repeating decimals ration numbers?

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01-10-2017
Mathematics

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are all terminating and repeating decimals ration numbers?

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BenjaminG123 BenjaminG123 · Answer 1 · 2017-10-01T21:02:45+02:00

BenjaminG123 BenjaminG123

01-10-2017

Greetings!

Number with repeating decimals are irrational while terminating decimals are rational. This is because any number that can be expressed as a fraction/ratio is rational.

Examples:
8: Can be expressed a fraction/ratio
8/1; Therefore, rational.

3.1415...; Can't be expressed a fraction/ratio
Therefore, irrational.

Hope this helps.
-Benjamin

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