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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

Significant Figures

Rules and Applications

rules for determining significant figures
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
more rules
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
more rules1
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.
more rules2
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
more rules3
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
rule for addition and subtraction with s f
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.
example
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

rule for multiplication and division with s f
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.
example x
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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