Significant figures
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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

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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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