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Skill: Convert metric capacity units

Explanation and Free Practice Resources

Metric capacity is understood as one quantity expressed in related units, including millilitres, litres, and kilolitres, with each adjacent unit differing by a factor of 1,000 (1 L = 1,000 mL and 1 kL = 1,000 L). Conversions use multiplication or division by powers of ten, including terminating decimals, while preserving the quantity; this level does not include compound dimensional conversions or more advanced unit systems and supports proportional reasoning and measurement estimation.

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Detailed Explanation: Convert metric capacity units

Metric capacity units measure how much a container can hold:

  • 1 L=1,000 mL1\text{ L}=1{,}000\text{ mL}
  • 1 kL=1,000 L1\text{ kL}=1{,}000\text{ L}

To convert between adjacent units, multiply or divide by 1,0001{,}000.

Example: Convert 3.75 L3.75\text{ L} to millilitres.

Since litres are larger than millilitres, multiply by 1,0001{,}000:

3.75 L×1,000=3,750 mL3.75\text{ L}\times 1{,}000=3{,}750\text{ mL}

Multiplying by 1,0001{,}000 moves the decimal point three places to the right:

3.75⟶37503.75\longrightarrow 3750

So,

3.75 L=3,750 mL\boxed{3.75\text{ L}=3{,}750\text{ mL}}

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

Learn by doing: Convert metric capacity units

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    Measurement Conversion - Metric Volume Units (Common) with Decimals

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