Converting metric mass units means representing the same mass in different units while preserving its value, using the relationships 1,000 milligrams = 1 gram and 1,000 grams = 1 kilogram. Quantities expressed as whole numbers, decimals, or fractions are multiplied or divided by powers of 1,000 according to the direction of conversion; changing the unit does not change the mass. This scope excludes compound rates, scientific notation, and less commonly used metric prefixes.
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Metric mass units are related by factors of :
When changing to a smaller unit, multiply by .
When changing to a larger unit, divide by .
Since grams are smaller than kilograms, multiply by :
So,
The mass has not changed; only the unit used to describe it has changed.
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