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Chapter Summary

Number System

NIOS · Class 10 · Maths

Summary of Number System for NIOS Class 10 Maths. Key concepts, important points, and chapter overview.

39 questions35 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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Overview

The number system grew from counting numbers to whole numbers, integers, rational numbers, irrational numbers, and finally real numbers. Natural numbers begin with 1 and are used for counting. Whole numbers add 0. Integers extend further to include negative numbers. Rational numbers are numbers of t

Key Concepts

Natural numbers are the counting numbers

Natural numbers are the counting numbers 1, 2, 3, ... . There is no greatest natural number. Addition and multiplication of natural numbers always giv

Whole numbers are natural numbers extended

Whole numbers are natural numbers extended by 0, so they are 0, 1, 2, 3, ... . There is no greatest whole number. Division by zero is not defined.

Integers extend whole numbers by including

Integers extend whole numbers by including negative numbers such as -1, -2, -3, ... . They are ..., -3, -2, -1, 0, 1, 2, 3, ... . Integers make subtra

A rational number is any number

A rational number is any number that can be written in the form p/q, where p and q are integers and q ≠ 0. Every natural number, whole number, and int

A rational number is in standard

A rational number is in standard form when its denominator is positive and the numerator and denominator are co-prime. Standard form is also called lo

Learning Objectives

  • Identify natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers
  • Write rational numbers in standard form or lowest form
  • Compare rational numbers using common denominators and the number line
  • Perform addition, subtraction, multiplication, and division of rational numbers
  • Convert rational numbers between fraction form and decimal form

Frequently Asked Questions

What are the important topics in Number System for NIOS Class 10 Maths?
Key topics in Number System include Number System Hierarchy, Complete Number System Overview, Number System Hierarchy. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Number System — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 39 practice questions available for this chapter. Revise formulas and 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 26 chapters — NIOS Class 10 Maths Chapter Summary

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