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Significant Figures

Significant Figures. Rules and Applications. Rules for Determining Significant Figures. 1.) All Non-Zero digits are Significant. For example: 134.987 m = SIX Significant Figures. 2.) All Zeros between two non-zero digits are significant.

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Significant Figures

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  1. Significant Figures Rules and Applications

  2. Rules for Determining Significant Figures • 1.) All Non-Zero digits are Significant. • For example: 134.987 m = SIX Significant Figures. • 2.) All Zeros between two non-zero digits are significant. • For example: 10.006 cm = Five Significant Figures

  3. More Rules • 3.) All Zeros to the LEFT of an “Understood” decimal point but to the RIGHT of a Non-Zero Digit are NOT significant. • For example: 178,000 ml = 3 Significant Figures

  4. More Rules • 4.) All Zeros to the LEFT of an “Expressed” decimal point and to the RIGHT of a nonzero digit are Significant. • For example: 178,000. g = six significant Figures.

  5. More Rules • 5.) All Zeros to the RIGHT of a decimal point but to the LEFT of a non-Zero digit are NOT significant. • For example: 0.00023 m = Two significant Figures

  6. More Rules • 6.) All Zeros to the RIGHT of a decimal point AND to the RIGHT of a non-Zero digit are significant. • For example: 0.0140 kg =Three significant Figures

  7. Rule For Addition and Subtraction with S.F. • 1.) Line up the numbers you wish to + or – by the decimal point. • 2.) Add or Subtract the numbers then write your answer to the same placement as the LEFT most LASTSignificant DIGIT.

  8. Example: (+) Problem: 1.0521 g + 2.52 g • 1.) Line up by Decimal Point 3.57 g (NOT = 3.5721 g) • 2.) Answer to the same placement as the LEFT most LAST Significant Digit 1.0521 g +2.52g

  9. Rule For Multiplication and Division with S.F. • 1.) Multiply or Divide the numbers. • 2.) Write your Product or Quotient so it has the same amount of Significant Figures as the number that had the LEAST amount of Significant Figures.

  10. Example: (x) Problem: 32.00 m x 1.015 m x 120 m • 1.) Multiply the numbers = 3897.6 m • 2.) Answer must have same amount of Sig. Figs. as number with the Least amount of Sig. Figs. 32.00 = 4 1.015 = 4 120 = 2 Answer must have 2 Sig. Figs: = 3900 m

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