Significant Figures Worksheet - Answer Key

 

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  1. Why are significant figures important?

    Significant figures indicate the degree of certainty that a value has. 
  2.  

     

  3. How many significant figures are in the following numbers
    1.  

    2. 30,100 - Three
    3.  

    4. 30,000. – Five
    5.  

    6. 50,000 – One
    7.  

    8. 0.00030 – Two
    9.  

    10. 2.54 exactly – Infinite
    11.  

    12. 5.82 x 103Three

     

     

  4. Rules for carrying over significant figures
    1.  

    2. Addition/Subtraction

      Based on number that has fewest decimal places.
      1.  

      2. How many significant figures would the answer have for
        5.42 +13.159 = 18.58
    3. Multiplication/Division

      Based on the value that has the smallest number of digits.
      1.  

      2. How many significant figures would the answer have for
        (53298) x (432) = 2.30 x 107

       

  5. What is dimensional analysis?

    Conversion from one set of units to another.
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  7. Perform the following calculation
    1.  

    2. 32 cm3 = 0.032 L
    3.  

    4. 100.0 yards = 9144 cm
    5.  

    6. 5 m3 = 5,000,000  cm3
    7.  

    8. 455 seconds =  7.58  minutes
    9.  

    10. 25.6oC = 298.7 K