6 июн. 2018 г. · Something is irrational if its decimals go on forever and do so with no pattern. The number π fits both of these criteria; however 1/3=0.333⋯ ...

2 нояб. 2013 г. · This happens because the decimal representation is obtained via division of p by q and hence the only possible choices for remainder are 0,1,2,…

3 сент. 2013 г. · We know that irrational numbers never repeat by combining the following two facts: every rational number has a repeating decimal expansion, ...

26 янв. 2013 г. · An irrational number has a non-terminating, non-repeating decimal expansion. So there is no real idea of closeness here, unless you are talking about distance.

29 нояб. 2015 г. · The definition: a number is irrational if and only if it's not rational, i.e. it can't be expressed as a ratio of two integers.

25 февр. 2024 г. · An irrational will be non-repeating in any base, while any rational will repeat in any base. Long division will show you why.

8 февр. 2013 г. · Yes, all repeating decimal numbers are rational. I'm sure someone here will give a good explanation but here's one link that'll help.

6 февр. 2014 г. · If you have a repeating decimal then you have finitely many digits appearing first, followed by strings of any length that repeat (any ...

26 июн. 2017 г. · No. If a number is rational, then the expansion in any numeral system will repeat, and if it is irrational, then it will not repeat in any system.

29 нояб. 2013 г. · My reasoning to answer 'False' is that, since the pattern is non-terminating and will never repeat, then it must be an Irrational number; ...