PROOF 186
Prove.
Significant figures do not increase under multiplication
On the real numbers ℝ.
Definition D1
A measured value is written x̃ = x(1 + δ). Here x is the true value and δ the relative error. What the measurement guarantees is |δ| ≤ ε, and this ε ≥ 0 is called the relative error bound.
Proof.
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