WebSep 4, 2011 · A related question worth asking is how you know that every repeating decimal corresponds to a rational number. E.g., if you're handed … http://www.mathinterventions.org/files/uploads/Terminating_and_Repeating_Decimals-1.pdf

Irrational Numbers - Vedantu

WebSep 5, 2011 · A related question worth asking is how you know that every repeating decimal corresponds to a rational number. E.g., if you're handed $0.2272727\overline{27}\ldots$ with "27" repeating forever, how do you figure out that it's exactly $5/22$? There's a simple algorithm for that too. WebJul 9, 2016 · Solution: $4^{1/2}=2$ which is rational. $5^{1/2},$ in its decimal form, does not terminate or repeat and therefore cannot be written as an integer over an integer. (CONTINUED) $\endgroup$ ... Now you've shown that not only do rational numbers have a repeating decimal, irrational numbers must not have such an expansion. ... feather disposable straight razor

Terminating and Repeating Decimals - Math …

WebNov 9, 2024 · What does the word terminate mean? ... then this decimal is a rational number. But if the digits do not repeat, then the decimal is an irrational number. ... This decimal goes on forever with the ... http://www.mathinterventions.org/files/uploads/Terminating_and_Repeating_Decimals-1.pdf WebMar 6, 2024 · The theorem. The content of the theorem is that any rational number, and only a rational number, has a repeating or terminating decimal expansion. A decimal expansion of the number, is if we write it in the decimal system, for instance 2.365 2.365, these can also go forever, such as 1.41421356\dots 1.41421356…. feather don\\u0027t starve