1Cademy - Converting 3,200 Grams to Kilograms Using a Conversion Factor

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Unit Conversion Using Conversion Factors

Example

Converting 3,200 Grams to Kilograms Using a Conversion Factor

To convert a newborn baby's weight of $3{,}200$ grams into kilograms, use the conversion factor $\frac{1 \text{ kg}}{1{,}000 \text{ g}}$ , which equals $1$ because $1$ kilogram $= 1{,}000$ grams.

Start with the given measurement: $3{,}200 \text{ g}$ .
Multiply by $1$ : $3{,}200 \text{ g} \times 1$ .
Write $1$ as a conversion factor relating kilograms and grams: $3{,}200 \text{ g} \times \frac{1 \text{ kg}}{1{,}000 \text{ g}}$ .
Cancel the matching unit: The "g" labels divide out, leaving only kilograms.
Multiply: $\frac{3{,}200 \text{ kg}}{1{,}000}$ .
Divide: $3{,}200 \div 1{,}000 = 3.2 \text{ kg}$ .

The baby weighed $3.2$ kilograms. Unlike converting from a larger unit to a smaller one (which produces a bigger number), converting from a smaller unit to a larger one yields a smaller number, because fewer of the larger units are needed to express the same quantity.

Updated 2026-04-21

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OpenStax Elementary Algebra

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