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A recurring decimal.

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Q: What is a rational number in a decimal form that has a block of one or more digits after the decimal point that repeats continuously and are not all zero?
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What is rational numbers in decimal form that have a block of one or more digits that repeats continuously?

Repeating Decimal


How do you determine if a decimal is rational or not?

A decimal is a rational number if it ever ends, or if it repeats the same single digit or set of digits forever.


Why is a decimal rational?

Some decimals are rational, and some aren't. A decimal is rational when it terminates or repeats.


Is this number rational or irrational 0.113113113...?

Any decimal that terminates or repeats is a rational number; as 0.113113113.... repeats the digits "113" it is a rational number. 0.113113113... = 113/999 (in fraction form).


How is a decimal a rational number?

A decimal is a rational number if:* It terminates - i.e., it has a finite number of decimal digits. * It doesn't terminate, but it repeats the same pattern over and over - possibly after a finite number of digits that are not included in the pattern. For example, 0.145145145145..., or 3.125252525...


Is 5.7777 A rational number?

Yes. If you mean 5.7777 as a terminating decimal it is 57777/10000 If you mean 5.7777... as a recurring decimal where the 7 repeats forever it is 57/9 If a decimal number terminates or repeats one or more digits forever it is a rational number. Otherwise if a decimal number goes on forever but does not repeat any digits (eg √2 = 1.41421356...) then it is an irrational number.


What is a decimal that repeats digits an has no end?

a repeating decimal


A decimal number in which a digit or group of digits repeats without end?

a decimal in which a digit or group of digits repeats without end


What is A repeating decimal is a decimal that?

.. has a string of digits which repeats for ever.


Are decimals rational?

Some are, some aren't.If the portion after the decimal point:terminates (eg 0.125);does not terminate, but repeats one or more digits (eg 0.333..., 0.181818...)does not terminate, but has one or more digits followed by one or more further digits that repeat (eg 0.16666..., 0.258373737...)then the decimal is rational.otherwise, if the decimal does not terminate and does not repeat any digits (eg π = 3.1415726..., √2 = 1.41421...)then the decimal is irrational (not rational).


Is 17.70027485281086486350.. rational or irrational?

If that's the complete number, then it's rational. But I see two periods after the '350'. Are those meant to suggest that the decimal goes on further ? If so, then in order to answer your question, we need to know whether the decimal ever ends or repeats. -- If it never ends or repeats, then it's an irrational number. -- If it ever ends or repeats, even if the repeat is several thousand digits long, then the number is rational.


Is 7.11 rational or irrational?

A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)