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Convert metric mass units

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.

Detailed Explanation: Convert metric mass units

Metric mass units are related by factors of 1,0001{,}000:

  • 1,0001{,}000 milligrams (mg)=1(\text{mg}) = 1 gram (g)(\text{g})
  • 1,0001{,}000 grams (g)=1(\text{g}) = 1 kilogram (kg)(\text{kg})

When changing to a smaller unit, multiply by 1,0001{,}000.
When changing to a larger unit, divide by 1,0001{,}000.

Example: Convert 2.352.35 kilograms to grams.

Since grams are smaller than kilograms, multiply by 1,0001{,}000:

2.35 kg×1,000=2,350 g2.35\ \text{kg} \times 1{,}000 = 2{,}350\ \text{g}

So,

2.35 kg=2,350 g\boxed{2.35\ \text{kg} = 2{,}350\ \text{g}}

The mass has not changed; only the unit used to describe it has changed.

Learn by doing: Convert metric mass units

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    Measurement Conversion - Metric Mass Units (Common) with Decimals

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