![]() Understanding the differences between these types of decimals is important when trying to distinguish rational and irrational numbers. Note that ⅓ is both a non-terminating decimal as well as a repeating decimal. All of the digits in a terminating decimal are known. No matter how many digits are known, there will always be a digit following it that needs to be determined.Ī terminating decimal is one that has a finite number of digits. For non-terminating decimals that do not repeat, not all of the digits are known. As described above, repeating decimals have an infinite number of known digits, and the repetend is not 0. Non-terminating decimals that repeat are repeating decimals. There are two types of non-terminating decimals, ones that repeat and ones that do not repeat. ![]() A non-terminating decimal is a decimal that never ends. These three types of decimals are often discussed together because they are closely related. Repeating, non-terminating, and terminating decimals expressed as a decimal is 0.1818., or 0.expressed as a decimal is 0.3333., or 0.The other method is to write a bar, referred to as a vinculum, over the repetend. ![]() One method is to write the repeating portion of the decimal, referred to as the repetend, followed by an ellipsis (.). There are two commonly used methods for indicating a repeating decimal. ![]() 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. Home / primary math / decimal / repeating decimal Repeating decimalĪ 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. ![]()
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