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Significant Figures

Significant Figures. Agenda Review elements Notes on Significant Figures Practice. Significant Figures. December 17, 2007. Types of Numbers . Counting Numbers without units (whole numbers) Ex: there are 6 chairs in the front row Measured Numbers WITH units (actually measured)

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Significant Figures

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  1. Significant Figures Agenda Review elements Notes on Significant Figures Practice

  2. Significant Figures December 17, 2007

  3. Types of Numbers • Counting • Numbers without units (whole numbers) • Ex: there are 6 chairs in the front row • Measured • Numbers WITH units (actually measured) • Ex: 58.35 g • Defined • Fractions or conversion factors • Ex: 12 inches = 1 foot, 2.54 cm = 1 inch

  4. 12 people 5.34 g 16 Tbsp in a cup 6 cans 16 oz in a pound 2.54 cm in an inch 40.75 in 2.25 cm Determine the type of #Discuss with table partner

  5. SF in numbers • Counting – infinite, ∞ • Defined – infinite, ∞ • Measured – where the fun begins! • Digits 1 – 9 ALWAYS count

  6. 12 people 5.34 g 16 Tbsp in a cup 6 cans 16 oz in a pound 2.54 cm in an inch 40.75 in 2.25 cm Determine the # of SFDiscuss with table partner

  7. SF for measured # • Zeros SOMETIMES count • LEADING zeros NEVER COUNT • 0234 • 0.034 • MIDDLE zeros ALWAYS COUNT • 101 • 5.001 3 SF 2 SF 3 SF 4 SF

  8. SF for measured # CONT • TRAILING zeros count if a decimal is present • 100.0 • 0.900 • 100 4 SF 3 SF 1 SF

  9. 0.031 or 3.1*10-2cm 6.00 cm 107.05 cm 2.35*10-3g 12.05 mL 0.14 cm 3.01 cm 5.790 g Determine type of ZERO, then # SFDiscuss with table partner

  10. 12.0 cm +2.45 cm 14.45 cm Round to tenth 14.5 cm 5.79 g -3.2 g 2.59 g Round to tenth 2.6 g SF in Calculations • Addition and subtraction • -Round to least number of decimal places

  11. SF in Calculations CONT • Multiplication and division • Round to least number of SF 6 cm *6 cm 36 cm2 Round to 1 SF 40 cm2 122.5 g/mL 2.0 mL = 61.25 g Round to 2 SF 61 g

  12. Homework • Complete SF worksheet • Work on elements

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