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Converting Liters to Kiloliters and Milliliters Using Conversion Factors
Metric capacity conversions use the same dimensional-analysis technique as length and mass conversions. Because kiloliter liters and liter milliliters, the conversion factor is always a power of , so the computation reduces to moving the decimal point places.
(a) Convert L to kiloliters.
- Start with the given measurement: .
- Multiply by , written as a conversion factor relating liters to kiloliters: .
- Cancel the matching unit: The "L" labels divide out, leaving only kiloliters.
- Divide: Moving the decimal point places to the left in gives .
Therefore L kL.
(b) Convert L to milliliters.
- Start with the given measurement: .
- Multiply by , written as a conversion factor relating liters to milliliters: .
- Cancel the matching unit: The "L" labels divide out, leaving only milliliters.
- Multiply: Moving the decimal point places to the right in gives .
Therefore L mL. Part (a) converts from a smaller unit to a larger one (yielding a smaller number), while part (b) converts from a larger unit to a smaller one (yielding a larger number).
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Converting Liters to Kiloliters and Milliliters Using Conversion Factors
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