Focused skill
Quantities, units and prefixes
1. Explain
A physical quantity combines a numerical value with a unit. Convert prefixes by powers of ten and distinguish SI base quantities from derived quantities before substituting into equations.
2. Model
Convert 4.5 mA to amperes by multiplying by 10⁻³: 4.5 × 10⁻³ A. A bare 0.0045 is incomplete because it does not identify the quantity.
3. Practise: concept check
Is a numerical answer complete without its unit?
- No; the value and appropriate unit identify the physical quantity.
- Yes; the calculation determines the unit automatically.
Check the answer and feedback
Correct: No; the value and appropriate unit identify the physical quantity. A missing or incompatible unit can change the meaning by orders of magnitude.
Not yet: A missing or incompatible unit can change the meaning by orders of magnitude.
4. Apply: examiner-style practice
A density is 7.8 g/cm³. Convert it to kg/m³ and state whether density is a base or derived quantity.
[2 marks]
Self-mark with the mark scheme
Compare your response with each mark point. Select a point only when your response contains that evidence.
Award a mark only when the stated physics matches the mark point. Carry forward a correct method after an arithmetic slip; do not award a bare answer where reasoning is requested.
5. Check again in 7 days: return through Your Physics plan after seven days. You will get a different question and cannot complete it early.