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How to Convert Metric Units
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Remember that to convert units, you
1) find the correct equivalent.
2) look at the two conversion factors that go with it.
3) choose the one that cancels the old unit and leaves the new unit remaining on top.
Now do this with metric units, referring to previous lessons tables.

Example 1: Convert 235 centimeters (cm) into meters (m).
Step 1:
Find the easiest equivalent relating "cm" to "m." (see previous lessons table).
The equivalent is 1 m = 102 cm. (Remember 102 = 100)

Step 2:
Choose the appropriate conversion factor (see previous lessons table) so that when you multiply it by 235 cm, the "cm" cancel and the "m" remain.
The appropriate conversion factor is (1 m/102 cm)

Step 3:
Multiply the original measurement by the conversion factor:
235 cm x (1 m / 102 cm) = (235 cm / 1) x (1m / 102 cm)
(235 cm cancelled / 1) x (1 m / 102 cm cancelled)
= (235 x 1 m) / (1 x 102) = 235 m / (1 x 100) = 235 m / 100 = (235 / 100) m = 2.35 m

So, 235 cm = 2.35 m

Example 2: Convert .7091 kilograms (kg) into grams (g).
Step 1:
Find the easiest equivalent relating "kg" to "g." (see previous lessons tables).
The equivalent is 1 kg = 103 g. (Remember 103 = 1000)

Step 2:
Choose the appropriate conversion factor so that when you multiply it by .7091 kg, the "kg" cancel and the "g" remain on top (see Tables in the previous lessons).
The appropriate conversion factor is 103 g / 1 kg

Step 3:
Multiply the original measurement by the conversion factor:
.7091 kg x 103 g / 1 kg = 103 g
= (.7091 kg / 1 kg) x (103 g / 1 kg)
= (.7091 kg cancelled / 1) x (103 g / 1kg cancelled)
= (.7091 x 103 g) / (1 x 1)
= (.7091 x 1,000 g) / 1
= 709.1 g / 1
= (709.1 / 1) g = 709.1 g
So: .7091 kg = 709.1 g

Note that, just like in example 1, we just ended up moving the decimal point.
This is because we divided by a power of 10.
People who saw this lesson also found the following lessons useful:
Converting Metric Units into Another Metric Units
Writing Equivalents
Writing Equivalents with Whole Numbers
Creating Conversion Factor from Equivalent
Master Metric Equivalent and Conversion Factor
How Numbers Behave When Multiplied or Divided by Positive Powers of Ten
To Convert Between Two Prefix Units
The shortcut for converting metric units
 
   
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