Metric mixed units

The metric system is based on powers of 10, making it easy to convert between units by multiplying or dividing.

  • Length: millimeters (mm), centimeters (cm), meters (m), kilometers (km)
  • Mass: milligrams (mg), grams (g), kilograms (kg)
  • Volume: milliliters (mL), liters (L)

  • To convert to a smaller unit โ†’ Multiply
  • To convert to a larger unit โ†’ Divide

Example:

  • 1 meter = 100 centimeters โ†’ Multiply by 100 to convert meters to centimeters.
  • 1000 grams = 1 kilogram โ†’ Divide by 1000 to convert grams to kilograms.

UnitRelationship
1 kilometer (km)1000 meters (m)
1 meter (m)100 centimeters (cm)
1 centimeter (cm)10 millimeters (mm)

Example:

  • Convert 4 kilometers to meters:
    4ร—1000=4000โ€‰m

UnitRelationship
1 kilogram (kg)1000 grams (g)
1 gram (g)1000 milligrams (mg)

Example:

  • Convert 750 grams to kilograms:
    750รท1000=0.75โ€‰kg

UnitRelationship
1 liter (L)1000 milliliters (mL)

Example:

  • Convert 2.5 liters to milliliters:
    2.5ร—1000=2500โ€‰mL

When comparing metric units:

  • Larger units โ†’ for bigger measurements (e.g., kilometers for distances between cities)
  • Smaller units โ†’ for tiny measurements (e.g., millimeters for small objects)

Example:

  • Which is larger: 3 meters or 250 centimeters?
    Convert 3 meters to centimeters:
    3ร—100=300โ€‰cm โ†’ 3 meters is larger

  • Remember the patterns: Kilo โ†’ Hecto โ†’ Deca โ†’ Base Unit โ†’ Deci โ†’ Centi โ†’ Milli
  • Multiply for smaller units, divide for larger units
  • Check your units to ensure answers make sense (e.g., a pen should weigh grams, not kilograms!)

Learn with an example

Let’s practice!๐Ÿ–Š๏ธ