A physical quantity combines a number and a unit. SI has seven base units: metre, kilogram, second, ampere, kelvin, mole and candela. Derived units combine them: a newton is kg m s⁻². A named derived unit is not an eighth base unit. A unit system chooses its standards: SI mechanics uses metre, kilogram and second; CGS uses centimetre, gram and second. Measurement lets us compare a quantity with a shared standard.
Changing a unit changes the numerical value, not the physical quantity. Convert through the common base unit. Area scales with the square of a length factor; volume scales with its cube. This laboratory includes exact prefix and time conversion factors, not temperature offsets.
A ruler can only distinguish its marked divisions. Its least count is the smallest interval it can read. A finer scale reduces rounding uncertainty, but does not automatically remove calibration or reading errors.
Leading zeros locate the decimal point; they are not significant. Zeros between significant digits count, as do trailing zeros explicitly written after a decimal point. An integer such as 1200 is ambiguous without a precision statement; scientific notation removes that ambiguity.
Separate the best estimate from its uncertainty. For sums and differences, absolute worst-case bounds add. Products, quotients and powers often use first-order relative error rules when errors are small. This lab also calculates exact intervals so the approximation is visible.
Every physical equation must have matching dimensions on both sides. Force has dimensions M L T⁻². Multiplying mass by acceleration produces the same dimensions; multiplying mass by velocity does not. Dimensions describe the quantity type and do not depend on the selected unit.
Assume a pendulum period depends only on length l and gravity g through T = C lᵃ gᵇ. Matching time dimensions gives a = 1/2 and b = −1/2. It cannot determine C. The ideal small-angle pendulum has C = 2π; that result comes from its dynamics.