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How are repeating decimals used?

Updated: 9/24/2023
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10y ago

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If a non-zero rational number, in its simplest form, has a denominator with any factor other than 2 or 5, the ratio cannot be represented by a terminating decimal. So, repeating decimals are used to represent the vast majority of rational numbers.

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Q: How are repeating decimals used?
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Related questions

Is a ellipsis decimal rational?

Sometimes. Ellipses are used in repeating decimals like 7.4444... or 8.121212... to show that the pattern repeats forever. Repeating decimals are rational. Ellipses are also used in non-repeating, non-terminating decimals like pi = 3.14159... . Non-repeating, non-terminating decimals are irrational.


Why are negative repeating decimals, rational?

If you convert repeating decimals into a fraction, you see that the repeating decimals are rational.


How do you know when to put the bar on a repeating decimal?

The bar is only used for repeating decimals. If it is repeating, you can use it.


What are 5 examples of non terminating repeating decimals?

terminating decimals repeating decimals


What are the different kinds of decimal?

terminating decimals non terminating decimals repeating decimals non repeating decimals


What is the definition for the word non-repeating decimals?

Non-repeating decimals is not a word but a phrase. Non-repeating decimals are irrational numbers.


What are signs for decimals?

terminating decimals and repeating decimals


How do you say repeating decimals in German?

Repeating decimals is periodische Dezimalzahlen in German.


Why these decimal representations are called repeating decimals?

Not all decimal representations are repeating decimals.


Are terminating and repeating decimals irrational numbers?

Terminating and repeating decimals are rational numbers.


Did Albert Einstein invent repeating decimals?

No, Albert Einstein did not invent repeating decimals.


Are non-repeating decimals irrational numbers?

No because non-repeating decimals may be terminating.But suppose you consider terminating decimals as consisting of repeating 0s. That is, 1/8 = 0.125 = 0.12500....Then all non-repeating decimals are irrational.