To convert between two prefix units

So far all our conversions have involved root units.
This is because all our conversion factors are based on the root unit.
What if we need to convert between two prefix units ?

To convert between two prefix units:
1) convert the 1st prefix unit to the root unit
2) convert the root unit to the 2nd prefix unit.

Example 1: Convert .063 kilograms (kg) into milligrams (mg). (Use tables from previous lessons to find appropriate conversion factors)

Example 2:
(Use tables from previous lessons to find appropriate conversion factors)

Notice in examples 1 & 2, we just ended up moving the decimal point. So can't we just move the decimal and skip all the fraction garbage? Yes! There's a shortcut. That's the beauty of the metric system. Next we look at the shortcut.

Note: Why did we learn unit cancellation if there's an easier way? Because
1) this method helps you understand what you're doing (how powers of 10 and unit cancellation work), and
2) you'll need to use unit cancellation for later problems in chemistry.
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 to Convert Metric Units How Numbers Behave When Multiplied or Divided by Positive Powers of Ten The shortcut for converting metric units

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