Significant Figures and Decimal Digits

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Presentation transcript:

Significant Figures and Decimal Digits Chained Calculations

Problem: Convert 77.4 K into F First convert 77.4 K into C using the following formula: TC = TK – 273.15 TC = 77.4 – 273.15 TC = -195.75 C 1 Decimal 2 Decimals 1 Decimal Stopping here? TC = -195.8 C

Problem: Convert 77.4 K into F Next convert -195.75C (un-rounded) into F using the following formula: TF = 1.8  TC + 32 TF = 1.8  (-195.75) + 32 TF = -352.35 + 32 TF = -320.35 F

Problem: Convert 77.4 K into F Next convert -195.75C (un-rounded) into F using the following formula: TF = 1.8  TC + 32 TF = 1.8  (-195.75) + 32 TF = -352.35 + 32 TF = -320.35 F 4 Sig. Figs. Exact 4 Sig. Figs. .0000000 … 1 decimal 1 decimal TF = -320.4 F 1 decimal