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Formula Sheet

Number System — Formula Sheet

Gujarat Board · Class 9 · Mathematics

5 formulas from Number System (Gujarat Board Class 9 Mathematics) on one page, grouped by topic. Part of the Gujarat Board Class 9 Mathematics syllabus.

45 questions28 flashcards5 formulas & key relations5 concepts

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A nested Venn diagram illustrating the relationships between natural numbers (N), integers (Z), rational numbers (Q), and real numbers (R) as subsets of each other.
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5 Entries · 3 Sections

Formulas and Key Relations

Irrational Numbers and Their Properties

√2 was the first irrational number proved to be irrational

Examples of irrational numbers

√2, √3, √5, √7, π, 0.10110111011110...

Decimal Expansions of Real Numbers

Terminating decimal

remainder becomes zero after some steps. Example: 7/8 = 0.875

Operations on Real Numbers

Irrational + Irrational = Can be rational OR irrational. Example: √2 + (-√2) = 0 (rational); √2 + √3 (irrational)

Rational + Irrational = Always Irrational. Example: 2 + √3 is always irrational

Full sheet with units and worked examples

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Frequently Asked Questions

What are the important topics in Number System for Gujarat Board Class 9 Mathematics?
Key topics in Number System include Types of Numbers – The Complete Picture, Irrational Numbers and Their Properties, Decimal Expansions of Real Numbers, Operations on Real Numbers. Study these first, then practise questions on each for Class 9 exams.
How many formulas are in Number System?
This sheet lists 5 formulas from Number System, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Number System for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Number System. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Number System

All Gujarat Board Class 9 Mathematics Formula Sheet

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