MYP 5 Mathematics · Spatial Reasoning

Metric Conversions

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What Are Metric Conversions?

Every time you measure something — the length of a pencil, the volume of water in a bottle, or the area of a football pitch — you are using units. The metric system (officially called the International System of Units, or SI) gives us a consistent, logical set of units used by scientists and most of the world.

The beauty of the metric system is that it is entirely based on powers of 10. This means converting between units is simply a matter of multiplying or dividing by 10, 100, 1000, and so on — no complicated fractions required!

Metric System (SI)

The International System of Units — a decimal-based system of measurement used globally in science. All units are related by powers of 10.

Analogy

Think of metric prefixes like zoom levels on a map. Zooming out by a factor of 1000 turns metres into kilometres. Zooming in by a factor of 100 turns metres into centimetres. The scale changes, but the underlying reality stays the same.

Metric Prefixes — The Key to Every Conversion

Prefixes are attached to a base unit to make it larger or smaller. Once you know the prefixes, you can convert any metric measurement.

PrefixSymbolMeaning (multiply base unit by…)
teraT1 000 000 000 000
gigaG1 000 000 000
megaM1 000 000
kilok1 000
hectoh100
(base unit)—1
centic0.01
millim0.001
microμ0.000 001
nanon0.000 000 001
picop0.000 000 000 001

The most commonly used prefixes in MYP Sciences are kilo- (k), centi- (c), and milli- (m).

Exam Tip

A handy memory trick for the order of common prefixes:
King Henry Died By Drinking Cold Milk
(Kilo, Hecto, Deca, Base, Deci, Centi, Milli)
Each step moves the decimal point one place.

Note

The three most important base units you need to know are:

  • Length → metre (m)
  • Mass → kilogram (kg) (note: the base unit already has the prefix "kilo"!)
  • Capacity → litre (L)
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