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Mathematical Errors

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              Mathematical Errors (1) Inherent Errors :             Errors which are already present in the statement of a problem before its solution , are called inherent errors . Such errors arise either due to the given data being mathematical tables , calculators or the digital computer . Inherent errors can be minimized by taking better data or by using high precision computing aids . (2) Rounding Errors :                It arises from the process of rounding off the numbers during the computation . Such errors are unavoidable in most of the calculations due to the limitations of the computing aids . Rounding errors can however be reduced by retaining at least one more significant figure at each step than that given in the data and rounding off at the last step .  (3) Truncation Errors :                These are used by using approximate results or on replacing an infinite process by a finite one . If we are using a decimal computer havi