The World of Numbers Class 9 Maths Handwritten Notes

These The World of Numbers handwritten notes are a topper's clear revision of the third chapter of the new Ganita Manjari book. The Class 9 Maths Handwritten Notes Chapter 3 The World of Numbers pull every number family, rule, and solved example onto a few pages, written by hand the way you would set it out in the exam.

• What you get: rational and irrational numbers, decimals, surds, and exponent laws, all in clear handwriting.
• Colour-coded: new sub-topics in red, key rules in hand-drawn boxes, and examples in blue.
• Why by hand: writing each rule out by hand helps the ideas stay in your memory before a test.

These are a topper's own handwritten revision notes for the 2026-27 Ganita Manjari book, matched line by line to the current NCERT chapter.

Why Use Handwritten Notes for Class 9 Maths The World of Numbers?

This chapter has many small rules, so a clear layout helps. The Class 9 Maths Handwritten Notes Chapter 3 The World of Numbers show one idea per line, so rational, irrational, and real numbers stay clear. You revise the full chapter in one sitting without turning many textbook pages.

• Each rule, like rationalising a denominator, sits in its own hand-drawn box.
• The number line is sketched so each family sits in the right place.
• Red sub-headings split the chapter into short, easy parts.
• The wording is plain, like a senior walking you through the steps.

Video Walkthrough

Source: Vedantu CBSE 10th on YouTube

What's Inside the The World of Numbers Handwritten Notes PDF

The PDF runs to 25 pages of neat, hand-written revision. It moves from rational numbers to irrationals, decimals, surds, and exponents, with a solved example after each idea. The colour code below tells you what each mark means.

• Red: new sub-topic headings, like Irrational Numbers or Rationalising the Denominator.
• Boxes: key rules, such as the surd laws and exponent laws, drawn by hand.
• Blue: solved examples and the numbers worked out in them.

The World of Numbers Diagrams and Formula Boxes Drawn by Hand

This chapter builds on the number line, so the notes lean on clear hand-drawn figures. You will find these drawn out step by step:

• The number line with the rational and real families marked on it.
• A sketch that builds the length √2 and places it on the line.
• A boxed proof idea for why √2 is irrational.
• The surd rules and the steps to rationalise a denominator in a box.
• The laws of exponents listed neatly for quick recall.

Last-Minute Revision with These The World of Numbers Notes

The night before your exam, the Class 9 Maths Handwritten Notes Chapter 3 The World of Numbers work as a quick skim. Every boxed rule and red heading is a checkpoint, so you can cover the whole chapter in well under an hour.

• Name the difference between a rational and an irrational number.
• Recall which decimals terminate and which repeat.
• Turn one repeating decimal into a fraction on rough paper.
• Rationalise one denominator using the boxed steps.
• Say the laws of exponents out loud.
• Glance at the common-mistake note before you close the notes.

How will Collegedunia's Handwritten Notes Help You with The World of Numbers?

Collegedunia brings you the Class 9 Maths Handwritten Notes Chapter 3 The World of Numbers as a free, clear PDF you can open on any phone. It saves you the time of making your own notes and matches the new Ganita Manjari book.

• 2026-27 match: the notes follow the new book, not the old chapter order.
• Clean handwriting: a topper's neat writing makes each rule easy to read.
• Exam-ready: boxes and colour cues let you revise fast before the annual exam.
• Free download: keep the PDF offline and revise any time.

More The World of Numbers Maths Class 9 Resources

Use the box below to open the other resources for this chapter of the new Class 9 Maths book.

NCERT Handwritten Notes for Class 9 Maths: All Chapters

Use the table below to open the handwritten notes for any other chapter of the new Class 9 Maths book.