Quantitative Skills · Units
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Using conversion factors
- A conversion factor is an equality written as a fraction. It equals 1, so the amount does not change.
- Each equality gives two factors: 1 min = 60 s gives (60 s / 1 min) and (1 min / 60 s).
- Put the new unit on top and the starting unit on the bottom, then cross out the units that cancel: 3.25 min × (60 s / 1 min) = 195 s.
- If nothing cancels (you get s²/min), flip the factor: 150 s × (1 min / 60 s) = 2.5 min.
- Defined equalities are exact. They never limit significant figures, so the answer keeps the measurement's: 4.25 h × (60 min / 1 h) = 255 min.
Exact equalities
- Time: 1 min = 60 s, 1 h = 60 min, 1 d = 24 h
- Length: 1 yd = 3 ft, 1 ft = 12 in, 1 in = 2.54 cm
- Symbols: s seconds, min minutes, h hours, d days, yd yards, ft feet, in inches, cm centimeters
Practice for the Unit Conversions lesson in Quantitative Skills. Original ZornScience questions.
About this activity
Choose the right conversion factor, set it up so the units cancel, and convert time and length with one exact factor. Every set has new numbers, and each answer gets feedback right away.
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