# 5 - Significant digits All non-zero digits are significant...

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1 Significant digits • All non-zero digits are significant • Zeros are significant if: – Between significant figures • E.g. 5 0 4 Right of decimal an right of significant figure – Right of decimal and right of significant figures • E.g. 14.5 0 – If it does not meet both , it’s not significant • E.g. 0 . 00 147 • Zeros in this case tell magnitude and not error – E.g. 47,000,000 (number significant digits?) 1 Significant digits • For values that are ambiguous: – Clarify with scientific notation • X.YY… * 10 z • X must be digit between 1and 9 • Y,Z can be any digit • Significant figures determined by mantissa •10 Z indicates magnitude – Numbers that indicate magnitude ARE NOT significant • Any zero in the mantissa must be significant! – Right of decimal and right of significant figures 2 Calibrating volumetric glassware • Example 2-3: – A 25 mL pipet delivers 24.976 g of water weighed against steel mass at 25ºC. Use the data in Table 2-3 to calculate the volume delivered by this pipet at 25ºC and 20ºC 3

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5 - Significant digits All non-zero digits are significant...

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