Conversions Converting From One System of Units to Another You will need a conversion factor like ( 1 meter = 3.28 ft). It can be used two ways: (1m/3.21ft) or ( 3.21ft/1m) Multiply your given dimension by the conversion factor to obtain the desired dimension. How many feet in 2 meters? 2m (3.21ft/m) = 6.42 feet How many meters in 10 feet? 10ft(1m/3.21ft) = 3.11 meters

Converting Areas To convert areas, you must square the conversion factor. Conversion factor: 1 inch = 2.54cm A page is 8.5 inches by 11 inches. What is the area in square centimeters? The area in square inches is 95 in2. So…… 95 in2 = __________cm2 95 in2(2.54cm/1 in)2 = 95(6.45 cm2) / (1 in2) = 613 cm2

Converting Volumes To convert volumes, you must cube the conversion factor. A cubic foot is how many cubic inches? Conversion factor: 1 foot = 12 inches 1 ft 3 ( 12 in/ 1 ft)3 = 1 ft 3 ( 123 in3/ 13 ft3) = 288in3

Using S.I. Prefixes

Examples 12nm = 12 x 10-9 m Finished. Change 12nm to meters. n = x 10-9 so replace it: 12nm = 12 x 10-9 m Finished.

Examples 250g ( 1 kg/1x103 g) = .250 kg Change 250 grams to kilograms. 1 kg = 1x103 gram 250g ( 1 kg/1x103 g) = .250 kg

Application – Student Heights Get the Data : 1. Break into groups of 4 or 5. 2. Obtain a meter stick. 3. Measure and record on a sheet of paper, the height of each group member in centimeters (cm). 4. Write you measurements on the board. Each group will do this so when each group is finished, the heights of the entire class will be on the board.

Application – Student Heights Analys Application – Student Heights Each student will complete the following: 1. Make a table of the heights of all of the students. Show the units at the top. 2. Find the average height in centimeters. 3. Find the range in centimeters. 4. Convert the average height and range to meters. 5. Convert the average height and range to feet. 6. Convert the average height and range to inches. Conversion factors: 1 inch = 2.54cm 12 inches = 1 foot 1 meter = 100cm

What To Turn In Sample Table Your table of the heights in cm. Average Height = _______cm Range = _______cm C. Average Height = _______m Range = _______m D. Average Height = _______ft. Range = _______ft. Average Height = _______in. Range = _______in.   Student Height (cm) 1 2 3 4 5 6 …