🔢 MathGrade 4Lesson 31
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Convert Metric Units

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Learning Objectives

  • 1Identify and use metric units for length, mass, and capacity
  • 2Convert between metric units using multiplication and division
  • 3Apply metric conversions to real-life measurement problems
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Mini Lesson

Metric units are based on powers of 10. The prefix kilo- means multiply by 1000, centi- means divide by 100, and milli- means divide by 1000. Knowing the prefixes lets you convert any metric measurement quickly.

Length: km, m, cm, mm

  • 1 km = 1000 m — multiply by 1000 to go from km to m.
  • 1 m = 100 cm — multiply by 100 to go from m to cm.
  • 1 cm = 10 mm — multiply by 10 to go from cm to mm.
  • To convert the other way, divide: 500 cm = 500 ÷ 100 = 5 m.

Mass: kg and g

  • 1 kg = 1000 g — multiply by 1000 to go from kg to g.
  • To convert g to kg, divide by 1000: 3000 g = 3 kg.

Capacity: L and mL

  • 1 L = 1000 mL — multiply by 1000 to go from L to mL.
  • To convert mL to L, divide by 1000: 4000 mL = 4 L.
Metric Length ConversionsMetric Length Conversionskmx1000/1000mx100/100cmx10/10mmmultiply (x) going rightdivide (/) going leftExample: 3 km = 3 x 1000 = 3000 mExample: 500 cm = 500 / 100 = 5 m
Metric Conversion Reference TableMetric Conversion ReferenceMeasurementUnitsConversionLengthkm, m1 km = 1000 mLengthm, cm1 m = 100 cmMasskg, g1 kg = 1000 gCapacityL, mL1 L = 1000 mLKilo- prefix always means x 1000
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Tip: to convert to a smaller unit, multiply. To convert to a larger unit, divide. Ask yourself: "Am I going to a smaller or larger unit?"

Vocabulary
metric system
A measurement system based on powers of 10.e.g. Most of the world uses the metric system.
kilo-
A prefix that means one thousand (×1000).e.g. 1 kilometer = 1000 meters.
centi-
A prefix that means one hundredth (÷100 of the base unit).e.g. 1 meter = 100 centimeters.
milli-
A prefix that means one thousandth (÷1000 of the base unit).e.g. 1 liter = 1000 milliliters.
mass
How much matter is in an object, measured in grams or kilograms.e.g. A bag of sugar has a mass of 1 kg.
capacity
How much liquid a container can hold, measured in liters or milliliters.e.g. A water bottle has a capacity of 500 mL.
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