Physics Math Worksheet

 

Scientific Notation
  1. Express the following numbers in scientific notation

 

 

a. 675    _________

d. 7,520,000  ________                 

 

 

 

 

b. 0.035 _________

e. 0.00205     ________

 

 

 

 

c. 57000 _________

f.  104            ________

 

 

 
  1. Solve the following arithmetic questions using proper scientific notation.  Each answer should have only 3 digits.

 

          a. 1.5 x 102 + 4.0 x 101 =      __________    

 

          b.  2.3 x 10-1 + 3.2 x 101 =    __________   

 

          c.  7.8 x 10-6 – 4.2 x 10-7 =    __________  

 

          d.  6.7 x 10-8 – 9.0 x 10-10 =   __________ 

 

          e.  1.2 x 106 + 3.4 x 105    =   __________

 

          f.  (2.3 x 10-4)(4.5 x 106) =     __________

 

          g.  (6.3 x 109)(1.0 x 1014) =    __________

 

          h.  (5.9 x 10-3) / (4.2 x 10-8) = __________ 

 

          i.   (9.9 x 102) / (1.5 x 10-14) = __________

 

          j.   (6.5 x 104)(7.2 x 108) =       __________

 

Metric Conversions

 
  1. Complete the following conversions.  Each answer should have only 3 digits.

 

            a.  430 mm = ____________ m

e.  920 ms =  ____________ s 

 

 

            b.  35 cm =    ____________ mm

    f.   1344 nm = ___________ μm

 

 

            c.  1200 km = ____________ cm

    g.  834 ng =    ___________ g

 

 

            d.  75 μm =     ____________ m

    h.  82 nm =     ___________ cm

 

Significant Figures

 
  1. Determine the number of significant figures in each measurement

 

            a. 6.34          ______ 

e.  37008       ______

 

 

            b. 0.0045      ______

f.  2400          ______

 

 

            c.  4.5 x 10-2 ______

g.  7.6 x 103   ______

 

 

            d.  3610        ______

h.  540.00       ______

 
  1. Complete the following calculations using the correct amount of significant figures

 

           a. 34 / 4.12      ______

e.  1.4 + 12.23   ______

 

 

           b. 8.4 – 7         ______

f.   0.58 x 8.23   ______

 

 

           c. 5.86 x 0.35   ______

g.  5.76 + 0.357 ______

 

 

           d. 56.1 / 24      ______

h.  6.02 – 4.5     ______

 

Percent Error

 
  1. Complete the following percent error calculations

 

            a. Experimental Value:   12.4

                Accepted Value:         12.6      __________

 

            b. Experimental Value:   0.42

                Accepted Value:          1.2       __________

 

            c.  Experimental Value:  8.24

                 Accepted Value:        8.00      __________