It can be shown that a number is rational if and only if its decimal representation is repeating or terminating. For example, the decimal representation of ⁠1/3 ... Background · Repeating decimals as infinite...

2 нояб. 2013 г. · If at some point we get a 0 remainder then the decimal representation is finite; otherwise the remainder has to repeat and lead to a repeating ... How can I prove that all rational numbers are either terminating ... Proof that every repeating decimal is rational proof of rational numbers as repeating or terminating decimal How to find out the number of repeating digits of a rational ... Другие результаты с сайта math.stackexchange.com

Also any decimal number that is repeating can be written in the form a/b with b not equal to zero so it is a rational number. Let me illustrate with an example.

28 апр. 2022 г. · Any rational number (A fraction in lower times) can be expressed as a terminating decimal or a repeating decimal. Simply divide the numerator ...

2 авг. 2019 г. · The proof that all rational numbers repeat or terminate comes directly from the cipher method to calculate a/b. In the cipher method we let ... Can a repeating decimal be both rational and irrational? - Quora Why do rational numbers have repeating patterns in their ... How to tell if a rational number will repeat or terminate - Quora Can all rational numbers be written as terminating or repeating ... Другие результаты с сайта www.quora.com

19 февр. 2020 г. · That is, eventually the digits fall into a pattern that repeats forever. For example, 0.3333… and 3.125353535… are repeating decimals.

6 мар. 2017 г. · A real number is rational if and only if its decimal expansion is repeating or terminating. Here's how to prove it.

10 апр. 2016 г. · Since there only q different possible values for the running remainder, it will eventually repeat, and so will the digits of the quotient from ...

A repeating decimal is always a rational number. Repeating decimals are those in which one number or a pattern of numbers repeats indefinitely.