Download Large Numbers Around Us – NCERT Class 7 Maths Chapter 1 PDF from the new NCERT Class 7 Maths book Ganita Prakash (2026-27). Read the chapter online or download the free PDF. 1 lakh = 1,00,000 (1 followed by 5 zeroes); 1 crore = 1,00,00,000 (7 zeroes); 1 arab = 1,00,00,00,000 (9 zeroes).
Large Numbers Around Us PDF – Chapter 1 of Ganita Prakash (Part I)
Read the chapter online or download the PDF.
| Chapter | Download | |
|---|---|---|
| Chapter 1 PDF | Large Numbers Around Us | View PDF |
| Full book | NCERT Class 7 Maths – Ganita Prakash | View Book |
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What Is in Large Numbers Around Us? (Class 7 Maths Chapter 1)
- 1 lakh = 1,00,000 (1 followed by 5 zeroes); 1 crore = 1,00,00,000 (7 zeroes); 1 arab = 1,00,00,00,000 (9 zeroes).
- Indian system groups digits 3-2-2-2 from the right (thousand, lakh, crore); the American/International system groups them 3-3-3 (thousand, million, billion).
- 1 million = 10 lakh, 1 billion = 100 crore = 1 arab, and 10,000 lakh make one billion.
- Big numbers become meaningful when you compare them with something familiar — Somu’s 40 m building, a 100-year lifetime, the seats in a stadium.
- Rounding up, rounding down and the five ‘nearest neighbours’ (nearest thousand, ten thousand, lakh, ten lakh, crore) let you answer questions quickly without exact arithmetic.
- Regrouping factors makes multiplication easy: ×5 is ÷2 then ×10, ×25 is ×100 then ÷4, ×125 is ×1000 then ÷8.
- An m-digit number times an n-digit number always has either (m + n − 1) or (m + n) digits.
Quick revision – Large Numbers Around Us
| Zeroes after the 1 | Indian system | In words (Indian) | American system |
|---|---|---|---|
| 3 | 1,000 | One thousand | 1,000 — one thousand |
| 4 | 10,000 | Ten thousand | 10,000 — ten thousand |
| 5 | 1,00,000 | One lakh | 100,000 — hundred thousand |
| 6 | 10,00,000 | Ten lakh | 1,000,000 — one million |
| 7 | 1,00,00,000 | One crore | 10,000,000 — ten million |
| 8 | 10,00,00,000 | Ten crore | 100,000,000 — hundred million |
| 9 | 1,00,00,00,000 | One arab (hundred crore) | 1,000,000,000 — one billion |
| Shortcut | × 5 | = ÷ 2, then × 10 | 116 × 5 = 58 × 10 = 580 |
| Shortcut | × 25 | = × 100, then ÷ 4 | 824 × 25 = 82400 ÷ 4 = 20,600 |
| Shortcut | × 125 | = × 1000, then ÷ 8 | 72 × 125 = 72000 ÷ 8 = 9,000 |
| Digits rule | M-digit × n-digit | (m + n − 1) or (m + n) digits | 3-digit × 3-digit = 5 or 6 digits |
| Least clicks | +1, +10, +100 … buttons | Smallest number of clicks = digit sum | 5072 → 5 + 0 + 7 + 2 = 14 clicks |
Old NCERT vs New – Class 7 Maths
This chapter is from Ganita Prakash, the new NCERT Class 7 Maths book (NCF-SE 2023, used from 2025-26). It replaced the old book “Mathematics”, so chapter numbers and names differ from older PDFs.
Solutions and All Chapters
Answers to the exercises and the full chapter list of Ganita Prakash:
Large Numbers Around Us – Overview
| Class | Class 7 |
| Subject | Maths |
| Book | Ganita Prakash – new NCERT book |
| Part | Part I |
| Chapter | 1 of 15 – Large Numbers Around Us |
| Book pages | 1 – 22 |
| Edition | NCERT Reprint 2026-27 |
| Session | 2026-27 |
| Free – read online or download |
Class 7 Maths Chapter 1 – FAQs
Where can I download Large Numbers Around Us Class 7 PDF?
From the download table on this page – the chapter PDF is free, and the full book is linked too.
What is Class 7 Maths Chapter 1 about?
1 lakh = 1,00,000 (1 followed by 5 zeroes); 1 crore = 1,00,00,000 (7 zeroes); 1 arab = 1,00,00,00,000 (9 zeroes).
Is Large Numbers Around Us from the new NCERT Class 7 Maths book?
Yes. It is chapter 1 of ganita prakash (part i), the new NCERT Class 7 Maths book for 2026-27.
Is this the latest NCERT edition for 2026-27?
Yes – the PDF is NCERT’s latest edition for the 2026-27 session.
Where are the NCERT Solutions for Class 7 Maths Chapter 1?
Open the NCERT Solutions link above for answers to the exercise questions.