The process of cutting off or shortening a number by removing digits, typically from the right end, without rounding. Unlike rounding, truncation simply drops the unwanted digits regardless of their value.
From Latin 'truncatus' meaning 'cut off' or 'maimed', from 'truncare' meaning 'to cut short'. The mathematical usage emerged in the 17th century as mathematicians needed precise ways to describe approximation methods.
Truncation is like using mathematical scissors - it's ruthlessly precise but can be surprisingly unfair! While 3.999 truncated to one decimal becomes 3.9, it's actually much closer to 4.0, showing how truncation can introduce systematic bias in calculations.
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