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Which is true about the decimal form of an irrational number the decimal

terminates the decimal

both repeats and terminates the decimal

repeats the decimal

does not repeat or terminate​

2 Answers

5 votes

Answer: D. does not repeat or terminate

Step-by-step explanation: The decimal system has been extended to infinite decimals for representing any real number, by using an infinite sequence of digits after the decimal separator (see decimal representation). In this context, the decimal numerals with a finite number of non-zero digits after the decimal separator are sometimes called terminating decimals. A repeating decimal is an infinite decimal that, after some place, repeats indefinitely the same sequence of digits (e.g., 5.123144144144144... = 5.123144). An infinite decimal represents a rational number, the quotient of two integers, if and only if it is a repeating decimal or has a finite number of non-zero digits.

User Lmcarreiro
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Does not repeat or terminate
User Mojoblanco
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