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Converting Units
Why do we need to convert? ,[object Object],[object Object],[object Object]
Conversion Factors ,[object Object],[object Object],12 inches = 1 foot 1 minute = 60 seconds 16 ounces = 1 lb 24 hours = 1 day
Steps to converting units: ,[object Object],[object Object],[object Object],[object Object]
Example Problem ,[object Object],1) Write the number (with units) that you want to convert. 2) Multiply it by a conversion factor, written as a fraction. Make sure the unit that you want to convert  from  is on the bottom and the unit you want to convert  to  is on the top. 3) Make sure the old units cancel. 4) Multiply all of the numbers on the top and divide by all of the numbers on the bottom to find your answer. 4.3 ft 4.3 ft  X  12 in 1 ft 4.3 ft  X  12 in 1 ft 4.3 ft  X  12 in 1 ft = 51.6 in
Another Example 1) Write the number (with units) that you want to convert. 2) Multiply it by a conversion factor, written as a fraction. Make sure the unit that you want to convert  from  is on the bottom and the unit you want to convert  to  is on the top. 3) Make sure the old units cancel. 4) Multiply all of the numbers on the top and divide by all of the numbers on the bottom to find your answer. Convert 52.8 hours to days. 52.8 hrs 52.8 hrs X 1 day 24 hrs 52.8 hrs X 1 day 24 hrs 52.8 hrs X 1 day 24 hrs = 2.2 days
What if there are two units to change? ,[object Object],We need to change meters to feet. (1 meter = 3.281 feet) We also need to change minutes to seconds. (1 minute = 60 seconds) Choose one unit to change first.  Then, multiply by a second fraction to change the other. Notice: The original number was written with minutes on the bottom.  The only units which didn’t cancel were the units we wanted to convert to. We arrived at the answer by multiplying 3.45 X 3.281 and dividing by 60. 3.45 m  min X 3.281 ft  1 m X 1 min 60 s =  0.189 ft/s
What if one or more of the units is squared or cubed? ,[object Object],[object Object],2 ,[object Object],[object Object],[object Object],45 cm  X 2 1 in 2.54 cm 45 cm  X 2 1 in 2.54 cm ( ) 2 45 cm  X 2 1 in 2.54 cm ( ) 2 = 6.98 in 2

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Converting units powerpoints

  • 2.
  • 3.
  • 4.
  • 5.
  • 6. Another Example 1) Write the number (with units) that you want to convert. 2) Multiply it by a conversion factor, written as a fraction. Make sure the unit that you want to convert from is on the bottom and the unit you want to convert to is on the top. 3) Make sure the old units cancel. 4) Multiply all of the numbers on the top and divide by all of the numbers on the bottom to find your answer. Convert 52.8 hours to days. 52.8 hrs 52.8 hrs X 1 day 24 hrs 52.8 hrs X 1 day 24 hrs 52.8 hrs X 1 day 24 hrs = 2.2 days
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  • 8.