1. PRESENTATION 8 Metric Measurement Units

2. METRIC UNITS OF LINEAR MEASURE
Based on powers of 10
Most frequently used units of length:
kilometer
meter
centimeter
millimeter

3. METRIC LINEAR UNITS
The following list shows several units of linear measure and their lengths in meters:
1 kilometer (km) = 1,000 meters (m)
1 hectometer (hm) = 100 meters (m)
1 dekameter (dam) = 10 meters (m)
1 meter (m) = 1 meter (m)
1 decimeter (dm) = 0.1 meter (m)
1 centimeter (cm) = 0.01 meter (m)
1 millimeter (mm) = meter (m)

4. CONVERTING METRIC LENGTHS
Since the metric system is based on powers of 10, the easiest method of converting between metric units is by moving the decimal point
To express a given unit as a larger unit, move the decimal point to left the number of places between the two units
To express a given unit as a smaller unit, move the decimal point to right the number of places between the two units

5. CONVERTING METRIC LENGTHS
Example: Express 65 decimeters as meters
Move the decimal 1 place to the left since a meter is the next larger unit to a decimeter
65 dm = 6.5 m
Example: Express 0.28 decimeters as centimeters
Move the decimal 1 place to the right since a centimeter is the next smaller unit to a decimeter
0.28 dm = 2.8 cm

6. METRIC SURFACE AREA
As with linear measure, the easiest method of converting between metric units of surface area is by moving the decimal point
To express a given unit as the next larger unit, move the decimal point two places to the left. Move two places because surface area is two- dimensional
To express a given unit as the next smaller unit, move the decimal point two places to the right

7. METRIC AREA CONVERSIONS
The table below reviews some common metric units, listing them from larger to smaller in order from left to right

8. METRIC AREA CONVERSIONS
Example: Express square decimeters (dm2) as square meters (m2)
Since a square meter is the next largest unit to a square decimeter, move the decimal point 2 places to the left
840.5 dm2 = m2
In moving the decimal point 2 places to the left, you are actually dividing by 100

9. METRIC AREA CONVERSIONS
Example: Express 46 square centimeters (cm2) as square millimeters (mm2)
Since a square millimeter is the next smallest unit to a square centimeter, move the decimal point 2 places to the right
46 cm2 = 4,600 mm2
In moving the decimal point 2 places to the right, you are actually multiplying by 100

10. METRIC VOLUME UNITS
As with linear and area measure, the easiest method of converting between metric units of volume is by moving the decimal point
For volume, the decimal will be moved three places because volume is three- dimensional

11. METRIC VOLUME UNITS
Example: Express 27,000 cubic centimeters (cm3) as cubic meters (m3)
Since a cubic meter is 2 units larger than a cubic centimeter, the decimal point is moved 2 x 3 or 6 places to the left
27,000 cm3 = m3
In moving the decimal point 6 places to the left, you are actually dividing by 1,000  1,000 or 1,000,000

12. METRIC UNITS Commonly used capacity-cubic measure equivalents:
1 milliliter (mL) = 1 cubic centimeter (cm3)
1 liter (L) = 1 cubic decimeter (dm3)
1 liter (L) = 1,000 cubic centimeters (cm3)
1,000 liters (L) = 1 cubic meter (m3)
Commonly used weight (mass) measure equivalents:
1,000 milligrams (mg) = 1 gram (g)
1,000 grams (g) = 1 kilogram (kg)
1,000 kilograms (kg) = 1 metric ton (t)

13. COMPOUND UNITS Products or quotients of two different units
Converted to smaller or larger equivalent compound unit measures, use the unity fractions
Expressed using per, such as kilometers per hour, which indicates division
Kilometers per hour can be written:

14. COMPOUND UNIT EQUIVALENTS
Simple compound needs only one unit to be converted
Complex compound needs more than one unit to be converted

15. COMPOUND UNIT EQUIVALENTS
Example: Express kilometers per hour as meters per minute
Multiply km/hr by the unity fractions
= 1,039.1 ≈ 1,039 m/min

16. METRIC-CUSTOMARY CONVERSIONS
Length
1 in = 2.54 cm
1 ft = cm
1 yd = m
1 mi = km
Weight
1 oz = g
1 lb = kg
1 (short) ton = kg
Volume
1 cu in (in3) = cm3
1 fl oz = cm3
1 tsp = mL
1 tbsp = mL
1 qt = L
1 gal = L

17. METRIC-CUSTOMARY CONVERSIONS
Example: Convert 7.36 in to millimeters
This requires two unity fractions

18. METRIC-CUSTOMARY CONVERSIONS
Example: Convert ft2 to square centimeters
This requires two unity fractions

19. PRACTICAL PROBLEMS An assembly consists of 5 metal plates
The respective plates are 650 cm2, 800 cm2, 16.3 dm2, 12 dm2, and 0.12 m2
Determine the total surface measure, in square meters, of the 5 plates

20. PRACTICAL PROBLEMS
Convert each measure to square meters

21. PRACTICAL PROBLEMS Sum the measures
m m m m m2 = m2 ≈ 0.55 m2
The sum of the measures of the 5 plates is about 0.55 m2