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Significant Figures

Significant Figures. What are Significant Figures (Sig Figs)?. The places in the number that are important. This will tell you how accurate a measurement is. There are a few rules to help you figure out how many sig figs there are in a number. Activity.

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Significant Figures

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  1. Significant Figures

  2. What are Significant Figures (Sig Figs)? • The places in the number that are important. • This will tell you how accurate a measurement is. • There are a few rules to help you figure out how many sig figs there are in a number.

  3. Activity • You and your partner will make up your own rules for determining sig figs. • The steps are as follows • read all of the numbers through • brainstorm (no discussion/ critique) • discuss/ critique • write a concise rule

  4. Example • Red 3 • Fire House 9 • Teach 5 • July 4 • Frisbee 7

  5. Example • Red 3 letters • Fire House 9 letters • Teach 5 letters • July 4 letters • Frisbee 7 letters

  6. Example Rule • The number of letters in the word is the number.

  7. First Rule 5426 4 sig figs 8.235 4 sig fig 19 2 sig figs 7 1 sig fig 333 3 sig figs 1983 4 sig figs 19564.78 7 sig figs 8354367 7 sig figs

  8. Rule • All real numbers (1-9) count as a significant number, the decimal does not matter

  9. 2nd Rule • 102 3 sig figs • 20003 5 sig figs • 34509 5 sig figs • 7089 4 sig figs • 78900098 8 sig figs • 5.0235 5 sig figs • 259.03 5 sig figs

  10. 2nd Rule • All zeros that are in between two significant figures are significant.

  11. 3rd Rule • 0.00045 2 sig figs • 0.0123 3 sig figs • 0.00123 3 sig figs • 0.000009 1 sig fig • 0.06 1 sig fig

  12. 3rd rule • Leading zeros that are placeholders are not significant

  13. 4th rule • 7600 2 sig figs • 1000000 1 sig figs • 560 2 sig figs • 10 1 sig fig • 165800 4 sig figs • 15840 4 sig figs

  14. 4th rule • All zeros following a number are not significant if they are a placeholder.

  15. 5th rule • 7600. 4 sig figs • 1250. 4 sig figs • 1000. 4 sig figs • 230000. 6 sig figs

  16. 5th rule • Zeros are significant if they are between a number an a decimal place (i.e. not a placeholder)

  17. 6th rule • 0.0090 2 sig figs • 0.0001200 4 sig figs • 0.120 3 sig figs • 0.8540 4 sig figs • 0.20 2 sig figs • 1251.20 6 sig figs • 5262.23000 9 sig figs

  18. 6th rule • Final (ending) zeros after a decimal are significant

  19. Applying your rules • 520.36 ? sig figs • 1.00250 ? sig figs • 60 ? sig figs • 458200000 ? sig figs • 0.250000 ? sig figs • 0.0063000 ? sig figs

  20. Applying your rules • 520.36 5 sig figs • 1.00250 6 sig figs • 60 1 sig figs • 458200000 4 sig figs • 0.250000 6 sig figs • 0.0063000 5 sig figs

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