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Conversion Factor Practice

Convert the following to meters and SHOW ALL WORK and CONVERSION FACTORS:

  1. 15 centimeters
  2. 0.004 kilometers
  3. 10 feet
  4. 2745 mm

Convert the following to grams and show all work and conversion factors:

  1. 367 mg
  2. 6 kg
  3. 14 oz

 

COMMON METRIC UNITS REFERENCE CHART

Length

Mass

1 meter (m) = 100 centimeters (cm)

1 meter = 1000 millimeters (mm)

1 meter = 1,000,000 micrometers (mm)

1 meter = 1,000,000,000nanometers (nm)

1000 meter = 1 kilometers (km)

1 meter = 39.4 inches 

1 gram (g) = 1000 milligrams (mg)

1 kilogram (kg) = 1000 grams (g)

1000 kilograms = 1 metric ton (t)

1 oz = 28.4 g

Volume

Temperature

1 liter (L) = 1000 milliliters (mL)

1 liter = 1000 cubic centimeters (cm3) (cc)

0oC =freezing point of water

100oC = boiling point of water

To convert one metric measurement to another, use “conversion factors.”  Conversion factors allow you to change one unit to another by multiplying by “1”.  Multiplying by a conversion factor does not change the value of the measurement.

Here are some examples of conversion factors:

                    1 liter          (1 liter is equal to 1000 milliliters)                    60 minutes    (60 min. equals 1 hr.)
            1000 milliliters                                                                             1 hour

Both the numerator and denominator represent the same value, so multiplying by a conversion factor is actually multiplying by “1.”

Here is a sample problem:

The small intestine is 6 meters long while the large intestine is 120 centimeters long.  Which is the longest (in meters)?

Step 1:  To solve this problem you must figure out what is given and what is desired.

            Given:  120 centimeters is the length of the large intestine

            Desired:     meters

Step 2:  Find the relationship between the units and consider the possible conversion factors.

            100 centimeters                OR            1 meter
                1 meter                                    100 centimeters

Step 3:  Choose the conversion factor whose numerator has the same units as your desired value.

                  1 meter                         (We want our answers in meters)
            100 centimeters

Step 4:  Multiply your given value by the conversion factor.  Cancel like terms.

            120 centimeters      X      1 meter                 =   1.2 meters is the length of the large intestine
                                            100 centimeters

Step 5:  Answer the question…the small intestine is the longest at 6 meters!

Human Biology On-line
Instructor:  Ms. Janda
Mt. Carmel High School
9550 Carmel Mountain Road
San Diego, California  92129
(858) 484-1180
Last updated: 08/27/2008