Skill: Convert metric mass units

Explanation and Free Practice Resources

Understanding metric mass conversion involves recognizing the base-ten relationships among milligrams, grams, and kilograms: 1 gram equals 1,000 milligrams, and 1 kilogram equals 1,000 grams. Quantities are converted by multiplying when expressing a larger unit in smaller units and dividing when expressing smaller units in larger units, while preserving the same mass; the scope is limited to whole-number and straightforward decimal conversions rather than compound units or more advanced unit systems.

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Detailed Explanation: Convert metric mass units

Metric mass units are related by thousands:

$1$ gram (g) $=$ $1{,}000$ milligrams (mg)
$1$ kilogram (kg) $=$ $1{,}000$ grams (g)

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

Example: Convert $3.5$ kilograms to grams.

A kilogram is larger than a gram, so change to the smaller unit by multiplying:

3.5 \times 1{,}000 = 3{,}500

Therefore,

3.5\text{ kg} = 3{,}500\text{ g}

The mass stays the same; only the unit used to describe it changes.

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Measurement Conversion - Metric Mass Units (Common) with Decimals

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