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← Rational and Irrational Numbers

Main Notes · Grade 10-11 · 15 pages · PDF

Rational and Irrational NumbersMain Notes

The full notes: one idea per page, a worked example beside every rule.

A concise 14-page IGCSE guide to rational and irrational numbers. It starts with the real number system and how natural numbers, integers, rational numbers and irrational numbers fit together. It then explains what makes a number rational, with a step-by-step method for converting recurring decimals to fractions (including those where only part of the decimal recurs). It also covers how to identify irrational numbers such as surds and π, and what happens when you add or multiply rational and irrational numbers. Every method comes with worked examples and common mistakes to avoid. It ends with a summary table, a quick classification test and exam tips.

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