Rounding errors occur when a numerical calculation must be rounded to a certain number of digits. **Truncation** errors, on the other hand, arise when an infinite process is replaced by a finite one. The algorithm for truncation varies depending on whether the value is positive (greater than or equal to zero) or negative (less than zero). When rounding off a number, the digits after the decimal point are removed.

This means that the number is rounded to the nearest whole number. For example, if you round off the number 3.7, it will become 4.On the other hand, when truncating a number, the digits after the decimal point are not removed. Instead, they are simply ignored. For example, if you truncate the number 3.7, it will remain 3.Rounding off and truncation are both used to simplify calculations and make them easier to understand.

However, they can also lead to errors in calculations if not used correctly. For example, if you round off a number that is close to a whole number, it can lead to an incorrect result. Similarly, if you truncate a number that is close to a whole number, it can also lead to an incorrect result. In conclusion, rounding off and truncation are two different methods of simplifying numerical calculations.

Rounding off removes digits after the decimal point while truncation ignores them. Both methods can lead to errors in calculations if not used correctly.

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