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Significant Figures

Significant Figures. Rules A-E A: All non-zero digits are significant. For Example: 12,345 has five Sig Figs. 7.89 has three Sig Figs. Part 1- How many sig figs?. B: All zeros between non-zero digits are significant. Aka “The Sandwich Rule”. Any zero sandwiched between

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Significant Figures

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  1. Significant Figures

  2. Rules A-E A: All non-zero digits are significant. For Example: 12,345 has five Sig Figs. 7.89 has three Sig Figs. Part 1- How many sig figs?

  3. B: All zeros between non-zero digits are significant. Aka “The Sandwich Rule”. Any zero sandwiched between two non-zero digits is significant. For Example: 12,034 has five Sig Figs. 12,000.034 has eight Sig Figs. Parts B – E are all about zeros.

  4. C: Zeros to the right of a non-zero digit, but to the left of an understood decimal point are not significant. 12,000 has 2 Sig Figs. 130 has 2 Sig Figs. D: All zeros to the right of a decimal point, but to the left of a non-zero digit are not significant. 0.00084 has 2 Sig Figs. 0.01 has 1 Sig Fig.

  5. Parts C and D Parts C and D mean that any zero that is to the right of a large number or to the left of a small number is not significant. Examples: 123,000,000 has only three Sig Figs. 0.00000045678 has five Sig Figs.

  6. E: All zeros to the right of the decimal point and following a non-zero figure are significant. For Example: 3.0300 has five Sig Figs. 0.100 has three Sig Figs.

  7. On to Calculations!!

  8. When adding or subtracting, line up the decimal points and remember your answer can have no more decimal places than the number with the least number of decimal places. For Example: 12.1 3.09 + 309.103 324.293 Because 12.1 only has 1 decimal place the answer rounds to: 324.3 Part A- Addition And Subtraction

  9. When multiplying or dividing, decimal places DO NOT MATTER! Keep only as many Sig Figs in your answer as the number with the least amount of Sig Figs. For Example: 132.45 x 12.2 = 1615.89 five Sig Figs x three Sig Figs = answer with three Sig Figs. 1615.89 rounds to 1620 Part B: Multiplication And Division

  10. The numbers reported in a measurement are limited by the measuring tool Significant figures in a measurement include the known digits plus one estimated digit Units Matter! A number without a unit means nothing! Three Things to Remember!!

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