Reference library53 entries

Tag: significant figures

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

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

Significant Figures in Stoichiometry Problems: Precision and Rounding Reference

A comprehensive guide to applying significant figures in stoichiometric calculations, covering rules, standards, common pitfalls, and worked examples.

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Rounding Methods

Rounding Rules for Negative Numbers: A Comprehensive Guide

Learn how rounding rules apply to negative numbers across different conventions (half-up, half-down, half-even, etc.) with standards citations, worked examples, and common pitfalls.

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Addition and Subtraction

Significant Figures in Addition and Subtraction: The Decimal Place Rule

Learn the decimal place rule for significant figures in addition and subtraction, with worked examples, standards citations, and common pitfalls.

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Significant Figures

Captive Zeros: Why Zeros Between Digits Always Count

Zeros between nonzero digits are always significant. Learn the rule, see worked examples, avoid common mistakes, and understand why captive zeros are never ambiguous…

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