Lesson · M.2.5

Converting between standard and metric units

A dimensional analysis method for converting units within the metric system, within the standard system, and between the two, using only the on-screen calculator.

ObjectiveM.2.5Read2 minExam weightMeasurement and Data ≈ 47% of Mathematics

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What you will be able to do

Convert measurements using a dimensional analysis conversion factor.
Convert between metric units by shifting the decimal point according to the prefix.
Convert between standard and metric units using a given equivalence.

What the lesson concludes

A conversion factor is a fraction equal to one, built from two equivalent measurements, so multiplying by it changes the unit, not the quantity.
Arrange the fraction so the starting unit cancels, leaving only the unit you want.
Metric conversions are a single multiplication or division by a power of ten, matching the prefix (kilo, centi, milli).
Standard-to-metric conversions need a given equivalence, which the question will supply.
Cancel units on paper (or in your head) before you touch the calculator, so you multiply or divide in the right direction.