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Significant Figures

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Significant Figures

Rules and Applications

- 1.) All Non-Zero digits are Significant.
- For example: 134.987 m = SIX Significant Figures.

- For example: 10.006 cm = Five Significant Figures

- 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.) 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.) 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.) 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

- 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.

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

- 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.

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