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Understanding Significant Figures in Calculations: Applications and Examples

Discover the importance of significant figures in mathematical calculations, including addition, subtraction, multiplication, and division. Learn how to determine significant digits based on uncertainties and minimum figures in your calculations. This guide includes practical examples such as calculating area, perimeter, and volume, while emphasizing the correct application of significant figures. Improve your accuracy in measurements with clear rules and practice problems. Ensure your answers maintain the correct significant figures for clarity and precision.

colin-vega
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Understanding Significant Figures in Calculations: Applications and Examples

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  1. Sig. Fig.’s in Calculations!

  2. Now that we know what a sig. digit is…. How do we use it in calculations?????

  3. Addition/subtraction and multiplication/division Full answers…But are these significant? 2.5cm + 2.25cm= 4.75cm 4cm x 8.332cm = 33.328cm2

  4. Addition/ subtraction: The number of significant digits can be determined by the largest uncertainty. What does this mean??

  5. Multiplication/Division: The number with the smallest amount (number) of significant figures determines the amount of significant figures in the answer of the calculation.

  6. Addition/Subtraction 2.5 2. 2 5 4.7 5 cm + cm cm 4.8 cm

  7. Multiplication/Division 4 cm x 8.332 cm 1 4 = 33.328 cm2 5 =30 cm2 1 What is the smallest number??

  8. 2.3 cm X 12 cm= • 4528 g X 15 g = • 13.258 ml + 254 ml = • 14.5 cm – 4 cm = • 5) 25 ml / 5 ml =

  9. Lets try with calculating: AreaPerimeterVolume Area: Length x width = Perimeter: length + length + width + width = Volume: Length x Width x height =

  10. You try these: Remember Units!!!!!! Perimeter & Area 15.2cm 17.882 cm 28.665 cm Find: Volume, Perimeter, Area

  11. Answers Volume:7791.330456 cm3 Remember Sig. Fig’s!! = 7.80 x103 cm3 Perimeter: 87.73 cm Remember Sig. Fig’s!! = 87.7 cm Area: 435.708 cm2 Remember Sig. Fig’s!! = 4.36 x102 cm2

  12. On your own

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