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Determining Sig Figs

Determining Sig Figs. When given any number, there are rules that can be followed to determine how many digits within that number are “precision” digits, also known as Significant Figures. Determining Sig Figs. Let’s look at the 5 rules of Sig Figs: The first rule is the easiest:

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Determining Sig Figs

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  1. Determining Sig Figs • When given any number, there are rules that can be followed to determine how many digits within that number are “precision” digits, also known as Significant Figures.

  2. Determining Sig Figs • Let’s look at the 5 rules of Sig Figs: • The first rule is the easiest: • All numbers that are non-zero numbers are ALWAYS sig figs. • Underlining the digits that are significant might help you remember they are significant.

  3. Determining Sig Figs • Underline the non-zero digits: • 1492 • 101 • 200 • 0.005 • 0.750 • 102.070

  4. Determining Sig Figs • Underline the non-zero digits: • 1492 (all of these are sig figs) • 101 (both of the 1’s are sig figs) • 200 (only the 2) • 0.005 (only the 5) • 0.750 (only the 7 and the 5) • 102.070 (only the 1, 2, and 7)

  5. Determining Sig Figs • What do we do with all the zeros?? • There are 4 “zero rules” • Zero rule #1: the Sandwich rule • If a zero is anywhere between two sig figs, it is also a sig fig

  6. Determining Sig Figs • Underline the sandwich zeros: • 1492 • 101 • 200 • 0.005 • 0.750 • 102.070

  7. Underline the sig figs and sandwich zeros: • 1492 • 101 • 200 • 0.005 • 0.750 • 102.070

  8. Determining Sig Figs • Zero rule #2: the Trailing Zero rule • Zeros that fall behind a sig fig bit are in front of the understood decimal point are NOT sig figs.

  9. Underline sig figs and cross out any trailing zeros: • 1492 • 101 • 200 • 0.005 • 0.750 • 102.070

  10. Determining Sig Figs • Underline sig figs and cross out any trailing zeros: • 1492 • 101 • 200 • 0.005 • 0.750 • 102.070

  11. Determining Sig Figs • Zero rule #3: the Leading zero rule • Zeros that fall behind the decimal but are in front of a sig fig are NOT sig figs.

  12. Determining Sig Figs • Underline the sig figs and cross out the leading zeros: • 1492 • 101 • 200 • 0.005 • 0.750 • 102.070

  13. Underline sig figs and cross out any leading zeros: • 1492 • 101 • 200 • 0.005 • 0.750 • 102.070

  14. Determining Sig Figs • Zero rule #4: the Precision rule • Zeros that fall behind the decimal AND are behind a sig fig ARE sig figs.

  15. Determining Sig Figs • Underline the sig figs and precision zeros: • 1492 • 101 • 200 • 0.005 • 0.750 • 102.070

  16. Determining Sig Figs • Underline sig figs and precision zeros: • 1492 • 101 • 200 • 0.005 • 0.750 • 102.070

  17. Determining Sig Figs Tell me how many sig figs are in each example. • 1492 • 101 • 200 • 0.005 • 0.750 • 102.070

  18. Tell me how many sig figs are in each example. • 1492 (4 sig figs) • 101 (3 sig figs) • 200 (1 sig fig) • 0.005 (1 sig fig) • 0.750 (3 sig figs) • 102.070 (6 sig figs)

  19. Things to remember… • Once you call a number a sig fig, you can’t undo it by a later rule. • Always follow the rules as you determine sig figs

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