2METRIC UNITS OF LINEAR MEASURE Based on powers of 10Most frequently used units of length:kilometermetercentimetermillimeter
3METRIC LINEAR UNITSThe following list shows several units of linear measure and their lengths in meters:1 kilometer (km) = meters (m)1 hectometer (hm) = meters (m)1 dekameter (dam) = meters (m)1 meter (m) = meter (m)1 decimeter (dm) = meter (m)1 centimeter (cm) = meter (m)1 millimeter (mm) = 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.
4CONVERTING METRIC LENGTHS Express 75 decimeters as metersExpress 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.
5METRIC AREA CONVERSIONS Express 84.5 square centimeters as square decimetersThese 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 = 1m2Express 5.6 square hectometers as square DekametersCapital D to show Deka instead of deciDam is also used for Dekameters
6METRIC VOLUME UNITSExpress 38,500 cubic millimeters as cubic decimetersConvert 2.5 km3 as cm3 (also called cc)
8COMPOUND UNITS Kilometers per hour can be written: Products or quotients of two different unitsConverted to smaller or larger equivalent compound unit measures using unity fractionsExpressed using per such as kilometers per hour which indicates divisionKilometers per hour can be written:
9COMPOUND UNIT EQUIVALENTS Simple needs only one unit to be convertedComplex needs more than one unit to be convertedExpress kilometers per hour as meters per minute
10Extremely large and small measures Top and bottom of chart on conversion sheetTera, 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?
11METRIC-CUSTOMARY CONVERSIONS Length1 in = cm1 ft = cm1 yd = m1 mi = kmWeight1 oz = g1 lb = kg1 (short) ton = kgVolume1 cu in. (in3) = cm31 fl oz = cm31 tsp = mL1 tbsp = mL1 qt = L1 gal = L
12EXAMPLES Convert 8.24 in to millimeters Convert 9.25 ft2 to square centimeters
13PRACTICE PROBLEMS Express 63 meters as centimeters Express 4.75 Dekameters as kilometersExpress hectometers as millimetersExpress 49.3 decimeters as DekametersExpress square decimeters as square centimetersExpress 1.09 square Dekameters as square hectometersExpress 2.5 cubic feet as cubic meters
14PRACTICE PROBLEMS (Cont) Express 123,500 cubic inches as cubic centimetersExpress 1,260 cm3 as dm3Express cubic meters as cubic centimetersExpress 13.5 liters as gallonsExpress 4.6 cubic meters as cubic inchesExpress 18.2 ft/min as km/hrExpress 1.2 short tons/cubic foot as pounds/cubic inch
15PRACTICE 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?
16PROBLEM ANSWER KEY 6300 cm 0.0475 km 760 mm 0.493 dam 8.4 cm2 hm2m32.024 m31.26 dm3cm33.57 galcu in19.97 km/hr1.389 lb/ cu in670.57m/secin2mi3.2x10-9 m5.0x106 dwmL