Number System
Uttarakhand Board · Class 9 · Mathematics
Summary of Number System for Uttarakhand Board Class 9 Mathematics. Key concepts, important points, and chapter overview.
Overview
The Number System chapter introduces students to different types of numbers and their properties. This chapter builds upon your understanding of natural numbers, whole numbers, and integers to explore rational and irrational numbers. You will learn how to represent these numbers on the number line,
Key Concepts
Natural numbers (1
Natural numbers (1, 2, 3, ...), Whole numbers (0, 1, 2, 3, ...), Integers (..., -2, -1, 0, 1, 2, ...), Rational numbers (numbers that can be expressed
Every integer is a rational number
Every integer is a rational number (can be written as m/1). Rational numbers have either terminating decimal expansions (like 3/4 = 0.75) or non-termi
Numbers like √2
Numbers like √2, √3, π that cannot be expressed as p/q form. They have non-terminating non-recurring decimal expansions. Example: √2 = 1.41421356... (
Using Pythagoras theorem and compass construction
Using Pythagoras theorem and compass construction, we can locate irrational numbers like √2, √3 on the number line. For √2, construct a right triangle
Terminating decimals (finite digits after decimal
Terminating decimals (finite digits after decimal point), Non-terminating recurring decimals (infinite digits with repeating pattern), Non-terminating
Learning Objectives
- Understand and classify different types of numbers: natural, whole, integers, rational, and irrational numbers
- Learn to express rational numbers in p/q form and understand their decimal representations
- Master the technique of representing irrational numbers like √2, √3 on the number line
- Develop skills to convert decimal expansions to fractional form
- Learn operations on real numbers and rationalization of denominators
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What are the important topics in Number System for Uttarakhand Board Class 9 Mathematics?
Number System covers several key topics that are frequently asked in Uttarakhand 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 — Uttarakhand 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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Formula Sheet
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