Download A Peek Beyond the Point – NCERT Class 7 Maths Chapter 3 PDF from the new NCERT Class 7 Maths book Ganita Prakash (2026-27). Read the chapter online or download the free PDF. A unit can be split into 10 equal parts (one-tenths), each tenth into 10 equal parts (one-hundredths), each hundredth into 10 one-thousandths, and so on.
A Peek Beyond the Point PDF – Chapter 3 of Ganita Prakash (Part I)
Read the chapter online or download the PDF.
| Chapter | Download | |
|---|---|---|
| Chapter 3 PDF | A Peek Beyond the Point | View PDF |
| Full book | NCERT Class 7 Maths – Ganita Prakash | View Book |
Read Online
What Is in A Peek Beyond the Point? (Class 7 Maths Chapter 3)
- A unit can be split into 10 equal parts (one-tenths), each tenth into 10 equal parts (one-hundredths), each hundredth into 10 one-thousandths, and so on.
- 10 one-tenths = 1 unit, 10 one-hundredths = 1 tenth, 100 one-hundredths = 1 unit, 1000 one-thousandths = 1 unit.
- The decimal point ‘.’ separates the whole-number part from the fractional part: 70.5 means 7 × 10 + 5 × 1/10, while 7.05 means 7 × 1 + 5 × 1/100.
- Putting zeros on the right of the last decimal digit does not change the value: 0.2 = 0.20 = 0.200. But 0.2, 0.02 and 0.002 are all different.
- To compare decimals, compare digits from the highest place value downwards; the first place where they differ decides.
- Decimals are added and subtracted exactly like whole numbers — line up the decimal points, then regroup 10 hundredths as 1 tenth, 10 tenths as 1 unit.
Quick revision – A Peek Beyond the Point
| Idea | In fraction form | In decimal form | Read as |
|---|---|---|---|
| One-tenth | 1/10 | 0.1 | Zero point one |
| One-hundredth | 1/100 | 0.01 | Zero point zero one |
| One-thousandth | 1/1000 | 0.001 | Zero point zero zero one |
| Four and eight-tenths | 4 8/10 = 48/10 | 4.8 | Four point eight |
| One and fourteen-hundredths | 1 14/100 = 114/100 | 1.14 | One point one four |
| 1 mm in cm | 1/10 cm | 0.1 cm | One-tenth of a centimetre |
| 1 cm in m | 1/100 m | 0.01 m | One-hundredth of a metre |
| 1 g in kg | 1/1000 kg | 0.001 kg | One-thousandth of a kilogram |
| 1 paisa in rupees | 1/100 rupee | ₹0.01 | One-hundredth of a rupee |
| Comparing | 6.456 vs 6.465 | 6.465 is greater | 5 hundredths < 6 hundredths |
| Adding | 2.7 + 3.5 | 6.2 | 12 tenths = 1 unit + 2 tenths |
| Subtracting | 3.5 – 2.7 | 0.8 | Borrow 1 unit as 10 tenths |
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:
A Peek Beyond the Point – Overview
| Class | Class 7 |
| Subject | Maths |
| Book | Ganita Prakash – new NCERT book |
| Part | Part I |
| Chapter | 3 of 15 – A Peek Beyond the Point |
| Book pages | 46 – 80 |
| Edition | NCERT Reprint 2026-27 |
| Session | 2026-27 |
| Free – read online or download |
Class 7 Maths Chapter 3 – FAQs
Where can I download A Peek Beyond the Point 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 3 about?
A unit can be split into 10 equal parts (one-tenths), each tenth into 10 equal parts (one-hundredths), each hundredth into 10 one-thousandths, and so on.
Is A Peek Beyond the Point from the new NCERT Class 7 Maths book?
Yes. It is chapter 3 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 3?
Open the NCERT Solutions link above for answers to the exercise questions.