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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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Related Questions

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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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.


Can pi be used for repeating decimals into a fraction?

No, pi (π) cannot be expressed as a fraction of two integers, which means it is not a repeating decimal. Pi is an irrational number, meaning its decimal representation is non-terminating and non-repeating. Therefore, it cannot be converted into a fraction in the way that repeating decimals can. Repeating decimals, like 1/3, can be expressed as fractions because they are rational numbers.


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.


Why these decimal representations are called repeating decimals?

Not all decimal representations are 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.


Are repeating decimals and terminating decimals the same?

No.