Unit 9

1
Unit 9

• 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) 1000 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) 0.001 meter (m)
• There are a lot of these conversions on your
  conversion sheet with the back covering the
  prefixes and some of the conversions covered on
  the front. In metric, the unit is not as
  important as the prefix.

4
CONVERTING METRIC LENGTHS

• Express 75 decimeters as meters

• Express 1.95 centimeters as millimeters

Notice I converted to meters and back to
millimeters. This is not required, you can slide
the decimals but most non-metric using people
have trouble sliding the decimal. Especially when
we get to other dimensions. The conversions used
above are on your conversion sheet and keep you
from sliding the wrong direction.
5
METRIC AREA CONVERSIONS

• Express 84.5 square centimeters as square
  decimeters
• These conversions are not all on your sheet but
  to go from first to second dimension you are
  squaring measurements from the first.so 10dm in
  a meter in linear (first) so 100dm2 1m2

• Express 5.6 square hectometers as square
  Dekameters
• Capital D to show Deka instead of deci
• Dam is also used for Dekameters

6
METRIC VOLUME UNITS

• Express 38,500 cubic millimeters as cubic
  decimeters
• Convert 2.5 km3 as cm3 (also called cc)

7
METRIC UNITS

• Commonly used capacity-cubic measure equivalents
• 1 milliliter (mL) 1cubic centimeter (cm3)
• 1 liter (L) 1cubic decimeter
  (cm3)
• 1 liter (L) 1000 cubic
  centimeters (cm3)
• 1000 liters (L) 1 cubic meter (m3)
• Commonly used weight (mass) measure equivalents
• 1000 milligrams (mg) 1gram (g)
• 1000 grams (g) 1kilogram (kg)
• 1000 kilograms (kg) 1 metric ton (t)

8
COMPOUND UNITS

• Products or quotients of two different units
• Converted to smaller or larger equivalent
  compound unit measures using unity fractions
• Expressed using per such as kilometers per hour
  which indicates division

• Kilometers per hour can be written

9
COMPOUND UNIT EQUIVALENTS

• Simple needs only one unit to be converted
• Complex needs more than one unit to be converted

Express 78.36 kilometers per hour as meters per
minute
10
Extremely large and small measures

• Top and bottom of chart on conversion sheet
• Tera, Giga, Mega are very large (heard in
  computer world and astrology)
• micro, nano, pico are very small (heard in
  biology)
• They work the same in unity fraction method just
  more conversions. With these you will use
  scientific notation in most cases.
• It is 2.4x1020 m to the sun. How far is that in
  Terameters?
• A cell is 5.7 micrometers thick. How many
  picometers is that?

11
METRIC-CUSTOMARY CONVERSIONS

• Length
• 1 in 2.54 cm
• 1 ft 30.48 cm
• 1 yd 0.9144 m
• 1 mi 1.6093 km
• Weight
• 1 oz 28.35 g
• 1 lb 0.4536 kg
• 1 (short) ton 907.2 kg

• Volume
• 1 cu in. (in3) 16.387 cm3
• 1 fl oz 29.574 cm3
• 1 tsp 4.929 mL
• 1 tbsp 14.787 mL
• 1 qt 0.9464 L
• 1 gal 3.785 L

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EXAMPLES

• Convert 8.24 in to millimeters

• Convert 9.25 ft2 to square centimeters

13
PRACTICE PROBLEMS

• Express 63 meters as centimeters
• Express 4.75 Dekameters as kilometers
• Express 0.0076 hectometers as millimeters
• Express 49.3 decimeters as Dekameters
• Express 0.084 square decimeters as square
  centimeters
• Express 1.09 square Dekameters as square
  hectometers
• Express 2.5 cubic feet as cubic meters

14
PRACTICE PROBLEMS (Cont)

• Express 123,500 cubic inches as cubic centimeters
• Express 1,260 cm3 as dm3
• Express 1.268 cubic meters as cubic centimeters
• Express 13.5 liters as gallons
• Express 4.6 cubic meters as cubic inches
• Express 18.2 ft/min as km/hr
• Express 1.2 short tons/cubic foot as pounds/cubic
  inch

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PRACTICE PROBLEMS (Cont)

• A bullet travels at 1500 miles per hour. How many
  meters per second is that?
• You receive measurements that specify a 2.5
  square meter area for a new machine. How many
  square inches do you need to clear out?
• A map in Canada says it is 350 kilometers to the
  next city. How many miles is the trip?
• A cell has a thickness of 3.2 nanometers. In
  scientific notation, how many meters is that?
• If a circuit needs 0.5 Megawatts, how many
  deciwatts are needed?
• If I have a tank that holds 350 gallons, how many
  milliliters does it hold?

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PROBLEM ANSWER KEY

• 6300 cm
• 0.0475 km
• 760 mm
• 0.493 dam
• 8.4 cm2
• 0.0109 hm2
• 0.07079 m3
• 2.024 m3
• 1.26 dm3
• 1268000 cm3

• 3.57 gal
• 280710 cu in
• 19.97 km/hr
• 1.389 lb/ cu in
• 670.57m/sec
• 3875.04 in2
• 217.49 mi
• 3.2x10-9 m
• 5.0x106 dw
• 1324750 mL