This article discusses the drawbacks of decimal theory in terms of repeating and non-terminating problems that may not give complete real results. This problem of decimal theory has persisted from its discovery to the present day. For this problem a theory has been developed in this research which proves to be better for repeating and never ending problem which is called L-Sign theory. The data which does not give hundred present absolute real result by decimal division method like 10/3, 5/11, 22/7[approximation of ?(Pi)] and many more like these can be divided by this new L-Sign method to get absolute real result, the result obtained will be absolute real value of the given data. Mathematical operations can be easily performed with other numbers of the obtained results. Apart from this, the reality of these results has been checked by different methods.
In this paper, an L-Sign method has been developed to solve repeating and non-terminating problems and reach its absolute real value, which proves to be an important discovery in the history of mathematics after the failure of the decimal division method. Through this L-Sign method, we can easily solve such problems which could not reach their real value like ? and which were impossible to bring hundred percent real value in mathematical operations.
In this paper compatibility of L-Sign numbers with normal numbers has also been proved by addition, subtraction, multiplication and division.
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