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What is meaning of repeating decimals?

Updated: 8/20/2019
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11y ago

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If I understand your question, you want to know the meaning of the phrase "repeating decimal". It just means an infinite decimal expansion (a decimal with infinitely many digits) in which, from some point on, the same digit or group of digits just keeps repeating forever. Every rational number (fraction) has a decimal that either terminates (in which case it can be considered to be a repeating decimal in which the digit 0 keeps repeating; 1/2 = 0.5 = 0.5000000000...) or repeats. An irrational number has a decimal expansion that never repeats. For example, 1/3 = 0.33333333333...; 1/7 = 0.142857142857142857...; 1/30 = 0.03333333333.... and is often represented with a line above the repeating number

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Q: What is meaning of repeating decimals?
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Why are negative repeating decimals, rational?

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


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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.


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terminating decimals and repeating decimals


How do you say repeating decimals in German?

Repeating decimals is periodische Dezimalzahlen in German.


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Not all decimal representations are repeating decimals.


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Terminating and repeating decimals are rational numbers.


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Is decimals ratios?

Terminating and repeating decimals are.


Are repeating decimals and terminating decimals the same?

No.


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.