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Conversions


QBA Miguel A. Castro Ramírez
Dimensional Analysis
   Dimensional analysis
    – the technique of
    converting between
    units

   Conversion factor –
    an equation (or
    fraction) always
    equal to 1
Examples…
               How many liters
                are in a kiloliter?

               How many
                milligrams are in a
                gram?

               How many
                centimeters are in
                a meter?
Conversion Factors
   Consist of two equal values on the
    top and bottom of a fraction.

   Example:        100 centimeters
                    ------------------
                         1 meter
Steps for Converting
1.   On the left, write
     an “x” followed by
     the unit you are
     looking for.

2.   Next to that, write
     “=” and write the
     value and unit you
     are given.
Steps for Converting
                3.   Choose a
                     conversion factor
                     that relates those
                     two units.

                4.   Place the value
                     with the unit you
                     HAVE on the
                     bottom and the
                     value with the unit
                     you ARE LOOKING
                     for on the top.
Steps for Converting
5.   Cancel units.

6.   Multiply by top
     numbers. Divide
     by bottom.

7.   Write your answer
     on the right side.

8.   CIRCLE IT!
EXAMPLE!!!!!
   Convert 56 cm to meters.

   This problem could also be written as
    “56 cm is how many meters?”
EXAMPLE!!!!!
   Convert 7 milliliters to liters.

   This problem could also be written as
    “How many liters are in 7 milliliters?”
   2.5 miles is equal to how many feet?



   Happy first “A” bell of the year! How
    many seconds long is an “A” bell?
    (It’s 45 minutes.)

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CONVERSIONS

  • 1. Conversions QBA Miguel A. Castro Ramírez
  • 2. Dimensional Analysis  Dimensional analysis – the technique of converting between units  Conversion factor – an equation (or fraction) always equal to 1
  • 3. Examples…  How many liters are in a kiloliter?  How many milligrams are in a gram?  How many centimeters are in a meter?
  • 4. Conversion Factors  Consist of two equal values on the top and bottom of a fraction.  Example: 100 centimeters ------------------ 1 meter
  • 5. Steps for Converting 1. On the left, write an “x” followed by the unit you are looking for. 2. Next to that, write “=” and write the value and unit you are given.
  • 6. Steps for Converting 3. Choose a conversion factor that relates those two units. 4. Place the value with the unit you HAVE on the bottom and the value with the unit you ARE LOOKING for on the top.
  • 7. Steps for Converting 5. Cancel units. 6. Multiply by top numbers. Divide by bottom. 7. Write your answer on the right side. 8. CIRCLE IT!
  • 8. EXAMPLE!!!!!  Convert 56 cm to meters.  This problem could also be written as “56 cm is how many meters?”
  • 9. EXAMPLE!!!!!  Convert 7 milliliters to liters.  This problem could also be written as “How many liters are in 7 milliliters?”
  • 10. 2.5 miles is equal to how many feet?  Happy first “A” bell of the year! How many seconds long is an “A” bell? (It’s 45 minutes.)