Skip to main content
Super TutorResources
Chapter 1 of 26
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Syllabus

Number System

NIOS · Class 10 · Maths

Complete topic list for Number System in NIOS Class 10 Maths. Key concepts, sub-topics, and what to focus on for board exams.

45 questions20 flashcards5 concepts

Interactive on Super Tutor

Studying Number System? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.

Try Super Tutor — Free

1,000+ Class 10 students started this chapter today

An infographic showing the nested relationship between Natural Numbers, Whole Numbers, Integers, Rational Numbers, and Real Numbers. Irrational Numbers are shown as a separate set within Real Numbers,
Super Tutor

This is just one of 8+ visuals inside Super Tutor's Number System chapter

Explore the full set
4 Topics · NIOS Class 10 Maths

Topics in Number System

1

Classification of Numbers

  • Natural Numbers (N): 1, 2, 3, 4, ... (counting numbers used in daily life)
  • Whole Numbers (W): 0, 1, 2, 3, ... (natural numbers + zero)
  • Integers (Z): ..., -3, -2, -1, 0, 1, 2, 3, ... (positive and negative whole numbers)
2

Operations on Rational Numbers

  • Addition: For same denominator: p/q + r/q = (p+r)/q
  • Addition: For different denominators: p/q + r/s = (ps+qr)/(qs)
  • Subtraction follows same rules as addition with opposite operation
3

Decimal Representation

  • Every rational number has either terminating or non-terminating repeating decimal
  • Terminating decimals: denominators have only 2^m × 5^n form
  • Non-terminating repeating: denominators have prime factors other than 2, 5
4

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 like √2, √3 can be constructed geometrically

Key Concepts

Central concept: Real Numbers

Natural NumbersWhole NumbersIntegersRational NumbersIrrational NumbersNumber Line OperationsDecimal Representations

Frequently Asked Questions

What are the important topics in Number System for NIOS Class 10 Maths?
Number System covers several key topics that are frequently asked in NIOS Class 10 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 — NIOS Class 10 Maths?
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.

More resources for Number System

All 26 chapters — NIOS Class 10 Maths Syllabus

For serious students

Get the full Number System chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for NIOS Class 10 Maths.

Try Super Tutor Free
Try the full chapter — Free