WebEssentially, I am wondering if you can represent a repeating decimal and have a number. For example, perhaps 0.9 repeating with an 8 at the end, the largest decimal less than one (because 0.9 repeating is equal to one.) Logic would dictate that you would have 0.98 with a bar only above the 9. WebA repeating decimal, also referred to as a recurring decimal, is a decimal number with a digit, or group of digits, that repeat on and on, without end; in other words, the digits are periodic. The repeating digits also cannot all be zero; 1.000000 is not a repeating decimal even though we can add an infinite number of 0s after the decimal point
How to represent a number with a repeating decimal as a ratio of ...
A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating (i.e. all except finitely many digits are zero). For example, the decimal representation of 1/3 becomes periodic just after the decimal point, repeating the single digit "3" forever, i.e. 0.33… Web14K views 11 years ago Multiplying and Dividing with Decimals This video provides two examples of division by a decimal in which the quotient is a repeating decimal. Complete video list:... trx inc conley ga
How to simplify repeating decimal numbers - Krista King …
WebHere's an implementation in Python: def f (n, d): x = n * 9 z = x k = 1 while z % d: z = z * 10 + x k += 1 return k, z / d. ( k keeps track of the length of the repeating sequence, so you can distinguish between 1/9 and 1/99, for example) Note that this implementation (ironically) loops forever if the decimal expansion is finite, but terminates ... WebJan 26, 2013 · Check that the numerator of long division is repeating and halt the loop. When numerator repeats, it means that we have found the repeating decimal. Convert array to string without commas, which is easily achievable by using join (''). Here's the relevant part of your code with the above 2 points implemented: function fractionToDecimal (n, d ... WebMar 17, 2024 · How to represent a number with a repeating decimal as a ratio of integers [duplicate] Ask Question Asked 3 years ago. Modified 3 years ago. Viewed 2k times ... $\begingroup$ This is the standard way to write repeating decimals as a rational. If you subtract you get $1000s-10s=990s=10135-101$, with no decimal involved. $\endgroup$ – … trxie from the contry bears