Skill: Convert metric mass units

Explanation and Free Practice Resources

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

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Your results

Practice with unlimited practice problems

Measurement Conversion - Metric Mass Units (All) with Decimals - Small to Base


    ?

    Download/Modify Free Grade 6 'Convert metric mass units' Worksheet

    Print this free 'Convert metric mass units' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.

    Units Teaching This Skill

    These adaptive units introduce, teach, or reinforce this skill (Convert metric mass units) through scaffolded problems that grow in difficulty as concepts are understood.

    Explore More Grade 6 Math