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Class 9th Mathematics Chapter 3 Number Systems – Notes

Class 9 Maths Chapter 3 – Real numbers, irrational numbers, number line, laws of exponents. NCERT notes.

Topics covered in Number Systems

Frequently asked questions

What topics are covered in Class 9th Mathematics Chapter 3 Number Systems notes?

This chapter covers: Natural numbers, Whole numbers, Integers, Rational numbers, Irrational numbers, Real numbers, Laws of exponents.

Are Number Systems notes free?

Yes, Notebook gives free NCERT CBSE notes for Class 9 Mathematics.

How to prepare Number Systems for Class 9 Mathematics exams?

Read the Number Systems notes first, revise the key topics (Natural numbers, Whole numbers, Integers, Rational numbers, Irrational numbers, Real numbers, Laws of exponents), then practise the important questions and previous year questions (PYQ) for this chapter.

Where can I find Class 9th Mathematics Chapter 3 Number Systems notes for quick revision?

You are on the right page: this notes page for Number Systems covers Class 9 Mathematics for the CBSE exam 2026-27. Use the tabs on this chapter for notes, important questions and PYQ.

Is Class 9th Mathematics Chapter 3 Number Systems important for the CBSE exam 2026-27?

Number Systems is part of the Class 9 Mathematics NCERT CBSE syllabus. Notebook gives notes, important questions and PYQs for it, free.

Also see: Class 9th Mathematics Chapter 3 Number Systems Important Questions · Class 9th Mathematics Chapter 3 Number Systems PYQ

Number Systems

Cartesian Plane

The Cartesian plane has two perpendicular axes: x-axis (horizontal) and y-axis (vertical), intersecting at the origin O(0,0). A point P is represented as (x, y) called an ordered pair. The plane is divided into 4 quadrants: Q1(+,+), Q2(−,+), Q3(−,−), Q4(+,−).

Plotting Points & Reading Coordinates

To plot (x, y): move x units along the x-axis and y units along the y-axis. The x-coordinate is the abscissa; y-coordinate is the ordinate. Points on x-axis have y=0; points on y-axis have x=0. The origin is (0,0).

Distance Formula (Introduction)

The distance between two points A(x₁,y₁) and B(x₂,y₂) is √[(x₂−x₁)²+(y₂−y₁)²]. For Class 9, the focus is on locating points and understanding quadrants rather than full distance/section formula derivations.

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Other chapters in Mathematics · Class 9 View all Mathematics chapters →
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