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Number System

NIOS · Class 10 · Maths

Quick revision notes for Number System — NIOS Class 10 Maths. Key concepts, formulas, and definitions for last-minute revision.

45 questions20 flashcards5 concepts

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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,
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Key Topics to Revise

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

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Full Notes

Key Concepts

Natural numbers (1Integers (Numbers that can be expressed asRational numbers have two typesNumbers that cannot be expressed as

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.

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