Reference library53 entries

Tag: significant figures

Practical explanations, worked examples, and reference notes for reporting numbers correctly.

Significant Figures

Significant Figures: The Definitive Guide for GCSE and A-Level Sciences

Master the rules, conventions, and standards of significant figures with this comprehensive reference, designed for GCSE, A-Level, and university science students.

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Truncation vs Rounding: When Cutting Digits Is Correct

Truncation and rounding are distinct digit-reduction methods. Truncation simply cuts off excess digits, while rounding adjusts the retained digits based on the discarded portion.…

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Error Propagation

Propagating Uncertainty Through Addition and Multiplication: Rules, Examples, and Standards

Learn how to propagate uncertainty when adding, subtracting, multiplying, and dividing measured values. Understand the significant figure rules, the GUM approach, and common pitfalls.

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Significant Figures

Significant Figures in Multi-Step Calculations: When to Round

Learn the correct rounding strategy for multi-step calculations to preserve precision and avoid error propagation.

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Significant Figures

Why 1200 Can Have 2, 3, or 4 Significant Figures

The number 1200 is ambiguous because trailing zeros without a decimal point are not significant. Depending on context, it can have 2, 3, or…

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Double Rounding Error

The Double Rounding Error That Changes Your Final Answer

Double rounding—rounding an intermediate value and then rounding again—can produce a different final result than a single direct rounding. Learn the rules, standards, and…

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How to Round to Significant Figures in Excel (ROUND + LOG10 Method)

Learn the exact Excel formula to round any number to a specified number of significant figures using ROUND and LOG10, with worked examples, standards…

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pH and Sig Figs: Why Only the Decimals Count

In pH measurements, only the digits after the decimal point are significant. This article explains the logarithmic basis, the rules, and common pitfalls.

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Ambiguous Trailing Zeros

The Overline (Bar) Notation for Ambiguous Trailing Zeros

Learn how the overline (bar) notation resolves ambiguity in trailing zeros, with rules, examples, standards citations, and common pitfalls.

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How Unit Conversion Factors Affect Significant Figures

Learn how unit conversion factors influence the number of significant figures in your results. Understand exact vs. inexact conversions, rounding rules, and standards.

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