Number System
Gujarat Board · Class 9 · Mathematics
Complete topic list for Number System in Gujarat Board Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
Topics in Number System
Types of Numbers and Their Relationships
- Natural numbers (N): 1, 2, 3, 4, ... - counting numbers used in daily life
- Whole numbers (W): 0, 1, 2, 3, ... - natural numbers including zero
- Integers (Z): ..., -3, -2, -1, 0, 1, 2, 3, ... - whole numbers including negatives
Irrational Numbers and Number Line Representation
- Examples of irrational numbers: √2, √3, √5, π, 0.101100111000111...
- √2 was the first irrational number discovered by Pythagoreans around 400 BC
- Irrational numbers have non-terminating, non-recurring decimal expansions
Decimal Expansions of Real Numbers
- Rational numbers have either terminating or non-terminating recurring decimal expansions
- Terminating decimals: remainder becomes zero (e.g., 7/8 = 0.875)
- Non-terminating recurring: remainder repeats (e.g., 1/3 = 0.3̄, 1/7 = 0.142857̄)
Operations on Real Numbers
- Sum/difference of rational and irrational is always irrational
- Product/quotient of non-zero rational and irrational is always irrational
- Sum/difference/product/quotient of two irrationals may be rational or irrational
Key Concepts
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What are the important topics in Number System for Gujarat Board Class 9 Mathematics?
Number System covers several key topics that are frequently asked in Gujarat Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Number System — Gujarat Board Class 9 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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