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# Significant Figures

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Sections
Significant Figures
Multiplication and Division Operations
Logarithm and Anti-Logarithm Operations
Precision and Accuracy
Types of Errors
Uncertainty
Propagation of Uncertainty: Triangular Distribution

Significant figures are necessary to communicate the level of accuracy with which values are recorded.

###### Significant Figures

Concept #1: To determine the number of significant figures for a value is dependent on the presence of a demical point.

Example #1: How many sig figs does each number contain?

(1) 0.0001010 m                (2) 10030 s

(3) 2.00 x 103 m                  (4) 14 people

● Multiplication/Division: Measurement with least SIG FIGS determines final answer.

Example #2: Perform the following calculations to the right number of sig figs:

[(0.999 + 1.01) ● (15.1 - 0.815)] / (0.010)(16) + (33.3 + 7.5)

Example #3: Read the water level with the correct number of significant figures.

A) 6.80 mL      B) 7 mL      C) 7.0 mL      D) 7.00 mL      E) 7.20 mL Practice: Read the ruler measurement to the correct number of significant figures. Practice: Read the ruler measurement to the correct number of significant figures. 