Chapter 1 of 15
Syllabus
Real Numbers — Syllabus
Telangana Board · Class 9 · Mathematics
What Real Numbers covers in Telangana Board Class 9 Mathematics: 4 topics, for the 2026-27 session. Topics include Number System Classification, Decimal.
41 questions20 flashcards3 formulas & key relations5 concepts
Interactive on Super Tutor
Studying Real Numbers? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.
Free trial, no card needed.
4 Topics · Telangana Board Class 9 Mathematics · 2026-27
Topics in Real Numbers
1
1. Number System Classification
- Natural Numbers (N): {1, 2, 3, 4, ...} - counting numbers
- Whole Numbers (W): {0, 1, 2, 3, ...} - natural numbers including zero
- Integers (Z): {..., -3, -2, -1, 0, 1, 2, 3, ...} - positive and negative whole numbers
2
2. Decimal Representation
- Terminating decimals: Rational numbers with finite decimal places
- Non-terminating recurring decimals: Rational numbers with repeating patterns
- Non-terminating non-recurring decimals: Irrational numbers
3
3. Representation on Number Line
- Every real number corresponds to a unique point on number line
- Rational numbers can be located by division method
- Irrational numbers require geometric construction
4
4. 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/product of two irrationals may or may not be irrational
Key Concepts
Numbers that can be expressedNumbers that cannot be expressedThe complete set formed by combiningStepProcess of eliminating irrational numbers from
Work through every topic in Real Numbers with notes and quizzes
Start This ChapterFrequently Asked Questions
What are the important topics in Real Numbers for Telangana Board Class 9 Mathematics?
Key topics in Real Numbers include Number System Classification, Decimal Representation, Representation on Number Line, Operations on Real Numbers. Study these first, then practise questions on each for Class 9 exams.
How should I revise Real Numbers for Class 9 exams?
Learn the core ideas first, then work through the 41 practice questions on Real Numbers. 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 Real Numbers
For serious students
Get the full Real Numbers chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Telangana Board Class 9 Mathematics. Free to start, no card needed.