Factor-Label Practice

Build the setup first. The answer box unlocks only when your units cancel to the target.

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Factor bank (click to add; flip it and set powers as needed)

Your setup

Give the number with correct sig figs and its unit (m^3, km/h, g/cm^3). Units are case-sensitive (mL, L, kg). Scientific notation is required for answers below 0.001 or when trailing zeros would make the sig figs unclear (like 1200 with 2 sig figs). Write it as 1.2e-3 or 1.2x10^-3, with exactly one nonzero digit before the decimal point.

Reference: metric prefixes and conversion factors

Prefixes

Same pattern for m, g, L, and s.

Other factors

Exact = defined (unlimited sig figs). Measured factors and densities limit your sig figs.

Factor-label method reminders

Write the starting quantity as a fraction, then multiply by factors so each unwanted unit appears once on top and once on the bottom and cancels.
Cancelled units are struck through in matching colors. Whatever is left uncancelled is the unit of your answer.
In a prefix factor, the 1 goes with the prefixed unit and the power of 10 goes with the base unit (1 km = 10³ m).
Proper scientific notation is a number from 1 up to (not including) 10 times a power of 10: 4.5 × 10^-4, not 45 × 10^-5.
Every factor is a true equality written as a fraction equal to 1.
For squared or cubed units, raise the whole fraction, number and unit, to the power (set the power on the factor).
Sig figs: limited by the starting value and by any measured factor or density. Exact factors never limit.