Apprentice path · Stage 27: Proving it · Lesson 97

Calculation habits

Four steps, every calculation: write the given values with units, pick the formula that matches the question, carry the units through, and ask whether the answer is reasonable.

Why this matters on the job

The arithmetic is rarely what goes wrong. The setup and the units are, and the fourth step catches what the first three miss.

How to think about it

  1. Write the known values and their units.
  2. Choose a formula that matches the question being asked.
  3. Check whether the answer is reasonable.

Worked through

120 volts across 60 ohms. Given: V = 120 V, R = 60 ohms. The question asks for current, so the formula is I = V / R. That gives 120 / 60 = 2, and the unit that falls out is amperes. Two amps on a 120 volt circuit is a sensible number -- and noticing that is the fourth step doing its job.

Check yourself: You calculate 120 V across 60 ohms. What is the answer and its unit?

Answer: 2 A. The answer unit is amperes.

I = V / R matches the question, so 120 / 60 = 2, and dividing volts by ohms gives amperes. The unit is part of the answer, not decoration on it.

Watch out for: Skipping the reasonableness check. An answer three orders of magnitude out looks exactly like a correct one on a calculator display -- the only thing that catches it is asking whether it could be true.
Take the free 15-question readiness check

No card. No account needed to start. Score by topic against the 70% mark.

Written from the owner's poster for this lesson. Nothing added beyond what the poster states.

Written for Texas apprentices as free study material. The Texas apprentice licence is an application, not an exam (Occupations Code 1305.161), and nothing here counts as apprenticeship hours or continuing-education credit. VoltMark is not affiliated with, endorsed by, or sponsored by NFPA, PSI, TDLR, or any state or local licensing authority. Always follow your employer's safety programme and your supervising electrician.