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Published byAldous Gibbs Modified over 9 years ago

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SIGNIFICANT FIGURES

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What are SIG FIG’S Digits that carry meaning contributing to its precision. They help make our “precision” more accurate Precision-the degree to which repeated measurements under unchanged conditions show the same results.

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HOW DO WE KNOW? 5 Simple Rules

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Rule #1 All non-zeroes are significant Ex: 123 has 3 sig figs 4789 has 4 sig figs 2 has 1 sig fig

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RULE # 2 All zeroes between non-zeroes are significant. Examples: 70002 (5 sig figs) 7000200 (5 sig figs) 205 (3 sig figs)

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RULE # 3 All zeroes to the left of a decimal AND to the right of a non-zero are significant. Example: 7000200. (7 sig figs) 7000200 ( 5 sig figs) 120. (3 sig figs) 120 (2 sig figs)

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RULE # 4 All zeroes to the RIGHT of a decimal point AND to the right of a non-zero are significant. Examples: 7000200.0 (8 sig figs) 702.05 (5 sig figs)

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Rule 5 All zeroes to the left of a non-zero are not significant. Examples: 0.00000072 ( 2 sig figs) 10.00000072 ( 10 sig figs)

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CONFUSED? Try the following problems for practice in your notes. Tell me how many sig figs there are and which rule or rules supports your answer.

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PRACTICE PROBLEMS A.) 6.571 B.) 0.157 C.) 28.0 D.) 30.07 E.) 0.106 F.) 0.0067 G.) 26.509

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