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Chapter 0 · Prep Physics — Unit Prefixes

Unit Prefixes

A ladder of powers of ten from tera down to pico: click any rung and the same physical quantity re-expresses itself in that prefix, showing exactly how many places the decimal point moved and by what factor. Six real quantities — LED current in milliamps, red light in nanometres, turbine output in megawatts — each with a note on why the conversion actually matters in a calculation. Every value on the ladder was verified in code to reconstruct the exact original quantity, and all 121 prefix-to-prefix conversions verified to round-trip. A drill section then tests conversion both directions, where every wrong option is a real student mistake: converting the wrong way, missing by a factor of a thousand, or forgetting to convert at all.

Current through an LEDclick any rung
450mA
always the same quantity: 0.45 A
quantity:
Conversion Drill0 / 0 correct
Convert 450 mA into A
Why It Matters

Meters read in milliamps; the formula I = V/R wants amps. This conversion is the single most common slip in circuit questions.

Every physics formula wants base units. Convert first, then calculate — never the other way round.

Try This

1. Click from milli straight to kilo. The decimal jumps six places at once — a prefix change is never one step unless the rungs are adjacent.

2. Notice centi is only 10⁻², not 10⁻³. It breaks the three-at-a-time pattern, which is why cm → m trips people up.

3. In the drill, look at the wrong answers before choosing — each one is a real mistake: converting the wrong way, missing by a thousand, or not converting at all.

× 10(from − to)
subtract the exponents to get the factor

The Ones You Must Know

Ggiga109
Mmega106
kkilo103
ccenti10-2
mmilli10-3
µmicro10-6
nnano10-9