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Numeric and Unit Processing Practice

  1. Convert from standard notation to scientific notation.
    1. )   987 =
    2. )   12.88 =
    3. )   55239 =
    4. )   0.000077 =
    5. )   0.003 =
  2. Convert from scientific to standard notation.
    1. )   4.2 x 102=
    2. )   7.23 x 104=
    3. )   1.5 x 10-1=
    4. )   6.62 x 105=
    5. )   2.1 x 10-6=
  3. Use dimensional analysis to solve these problems. SHOW ALL YOUR WORK AND UNITS.
    1. )   3 ft = ____ inches
    2. )  78 in = ____ feet
    3. )  50.8 inches = ____ cm
    4. )  100 cm = ___ inches
    5. ) Your mom's SUV gets 16 miles to the gallon. Gasoline at the moment is $2.60 per gallon. If the Alderwood Mall is 65 miles away how much does it cost to drive there?
  4. Use the King Henry (KHDMDCM) method to convert the following metric measurements to the indicated units.
    1. )  8.6 km = ____ m
    2. )  12.6 m = ____ km
    3. )  12.6 m = ____ mm
    4. )  8600 mm = ____ m
    5. )  12345 g = ____ kg
 

Numeric and Unit Processing Practice Answers

  1. Convert from standard notation to scientific notation.
    1. )   987 = 9.87 x 102
    2. )   12.88 = 1.288 x 101
    3. )   55239 = 5.5239 x 104
    4. )   0.000077 = 7.7 x 10-5
    5. )   0.003 = 3 x 10-3
  2. Convert from scientific to standard notation.
    1. )   4.2 x 102= 420
    2. )   7.23 x 104= 72,300
    3. )   1.5 x 10-1= 0.15
    4. )   6.62 x 105= 662,000
    5. )   2.1 x 10-6= 0.0000021
  3. Use dimensional analysis to solve these problems. SHOW ALL YOUR WORK AND UNITS.
    1.  
      3 feet   x   12 inches   =   36 inches
          1 foot    
    2.  
      78 inches   x   1 foot   =   6.5 feet
          12 inches    
    3.  
      50.8 inches   x   2.54 cm   =   1290.32 cm
          1 inches    
    4.  
      100 cm   x   1 inch   =   39.37 inches
          2.54 cm    
    5.  
      65 miles   x   1 gallon   x   $2.60   =   $10.56
          16 miles   1 gallon    
  4. Use the King Henry method to convert the following metric measurements to the indicated units.
    1. )  8.6 km = 8600. m
    2. )  12.6 m = 0.0126 km
    3. )  12.6 m =12,600. mm
    4. )  8600 mm = 8.6 m
    5. )  12345 g = 12.345 kg