Reference library69 entries

Author: Tommy C. Moran

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

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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Banker’s Rounding Explained (and Why Excel and Python Disagree)

{ “title”: “Banker’s Rounding Explained (and Why Excel and Python Disagree)”, “slug”: “bankers-rounding-explained”, “excerpt”: “A comprehensive guide to banker’s rounding (round half to even),…

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Rounding Methods

Round Half Up vs Round Half Even: Which Does Your Class Use?

A comprehensive comparison of two common tie-breaking rules for rounding, including definitions, examples, standards, and software behavior.

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Rounding vs Significant Figures

Rounding vs Significant Figures: Not the Same Thing

Rounding and significant figures are often confused, but they serve different purposes. Rounding reduces digits; significant figures convey precision. Learn the rules, standards, and…

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Scientific Notation

How to Convert Any Number to Scientific Notation: Rules, Examples, and Pitfalls

A comprehensive guide to converting numbers to scientific notation, covering rules, conventions, standards, and common mistakes, with worked examples and practice problems.

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Significant Figures in Logarithms and pH: The Definitive Guide

Learn the precise rules for determining significant figures in logarithms and pH values, with worked examples, common pitfalls, and standards citations.

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Measurement Uncertainty

What Measurement Uncertainty Actually Is (and Why It Matters)

Measurement uncertainty is a quantitative expression of the doubt associated with a measured value. This guide explains its definition, evaluation per GUM, reporting conventions,…

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Measurement Uncertainty

How Many Sig Figs Should an Uncertainty Have? (Usually One or Two)

The uncertainty in a measurement should be reported with one or two significant figures, depending on the magnitude of the leading digit and the…

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Significant Figures in Google Sheets

{ “title”: “Significant Figures in Google Sheets: Precision, Rounding, and Best Practices”, “slug”: “significant-figures-google-sheets”, “excerpt”: “Learn how to handle significant figures in Google Sheets,…

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