In numerical analysis, significant figures record how many meaningful digits are retained in a written numerical value. Leading zeros locate the decimal point rather than adding precision: and each have two significant figures. Trailing zeros may require an explicit convention to distinguish measured precision from positional notation.
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Significant figures (or significant digits) are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and any trailing zeros in the decimal portion. Understanding significant figures is important in scientific measurements and calculations, as they indicate the precision of the numbers involved. ### Rules for Identifying Significant Figures: 1. **Non-Zero Digits**: All non-zero digits (1-9) are always significant.