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

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Repeating decimal definition?

A repeating decimal is a number expressed in decimal form in which, after a finite number of miscellaneous digits, the number continues with a string of a finite number of digits which repeats itself without end.


What does repeated decimal mean?

A repeated decimal is a decimal representation of a number in which, following a finite string of digits, the decimal digits settles into a string which repeats itself again and again - forever. For example, 111.11/77 = 1.44298701298701... The repeating pattern 298701 appears after the first three digits of the decimal representation.


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?

A recurring decimal.


What is repeating as an fraction?

A decimal fraction is said to be repeating if, after a finite number of digits, there is a string of a finite number of digits which repeats itself for ever more.For example,1537/700 = 2.19571428571428...The first three digits in the decimal representation are not part of the repeating pattern. After that, however, the string "591428" repeats endlessly.


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.


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.


What do you call a decimal number that ends or recurrs?

A decimal number that ends is called a terminating decimal, while a decimal number that repeats a specific sequence of digits indefinitely is referred to as a repeating or recurring decimal. For example, 0.75 is a terminating decimal, and 0.333... (where the 3 repeats) is a repeating decimal. Both types can be expressed as fractions.


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).


What is the decimal expansion of an irrational no. is?

It is the decimal approximation to the value of the irrational number.


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...


Why is a decimal rational?

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


What does a horizontal line over a decimal number mathematics?

It is an indication that the string of digits under the horizontal line repeats for ever.