Download Expressions using Letter-Numbers – NCERT Class 7 Maths Chapter 4 PDF from the new NCERT Class 7 Maths book Ganita Prakash (2026-27). Read the chapter online or download the free PDF. A letter used in place of a number is a letter-number; an expression built from letter-numbers and numbers is an algebraic expression.
Expressions using Letter-Numbers PDF – Chapter 4 of Ganita Prakash (Part I)
Read the chapter online or download the PDF.
| Chapter | Download | |
|---|---|---|
| Chapter 4 PDF | Expressions using Letter-Numbers | View PDF |
| Full book | NCERT Class 7 Maths – Ganita Prakash | View Book |
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What Is in Expressions using Letter-Numbers? (Class 7 Maths Chapter 4)
- A letter used in place of a number is a letter-number; an expression built from letter-numbers and numbers is an algebraic expression.
- The multiplication sign is dropped: 4 × n is written 4n, with the number first.
- Swapping, grouping, opening brackets and the distributive property work exactly the same for algebraic expressions as for arithmetic ones.
- Like terms (5c, 3c, 10c) can be added into one term; unlike terms (18c, 11d) cannot.
- Expressions let us describe patterns — matchstick steps, calendar squares, saree borders, traffic signals — and, more importantly, prove that the pattern always holds.
- A formula is read both ways: from a situation to an expression, and from an expression back to a situation.
Quick revision – Expressions using Letter-Numbers
| Idea | What it means | Example from the chapter | Key result |
|---|---|---|---|
| Letter-number | A letter standing for a number | A = Aftab’s age | S = a + 3 |
| Algebraic expression | Numbers + letter-numbers joined by operations | C × 35 + j × 60 | Cost of c coconuts and j kg jaggery |
| Dropping × | Write the number first, then the letter | 4 × n | 4n |
| Value of an expression | Replace the letter by a number | 5m + 3, m = 2 | 13 |
| Like terms | Same letter-numbers | 5c, 3c, 10c | 18c |
| Unlike terms | Different letter-numbers | 18c and 11d | Cannot be added |
| Distributive property | A multiple of a sum is the sum of multiples | 4v + 3v | 7v |
| Opening a bracket with – | Change the sign of every term inside | (40x + 75y) – (6x + 10y) | 34x + 65y |
| Perimeter formulas | Sides written with a letter | Square side q, rectangle l and b | 4q, 2l + 2b |
| Pattern formula | Nth step of a growing pattern | Matchstick triangles | 2y + 1 |
| Calendar 2 × 2 square | Top-left a, then a+1, a+7, a+8 | Diagonal sums | Both are 2a + 8 |
| Position formula | Which item sits at position n | Saree designs A, B, C | 3n – 2, 3n – 1, 3n |
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:
Expressions using Letter-Numbers – Overview
| Class | Class 7 |
| Subject | Maths |
| Book | Ganita Prakash – new NCERT book |
| Part | Part I |
| Chapter | 4 of 15 – Expressions using Letter-Numbers |
| Book pages | 81 – 105 |
| Edition | NCERT Reprint 2026-27 |
| Session | 2026-27 |
| Free – read online or download |
Class 7 Maths Chapter 4 – FAQs
Where can I download Expressions using Letter-Numbers 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 4 about?
A letter used in place of a number is a letter-number; an expression built from letter-numbers and numbers is an algebraic expression.
Is Expressions using Letter-Numbers from the new NCERT Class 7 Maths book?
Yes. It is chapter 4 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 4?
Open the NCERT Solutions link above for answers to the exercise questions.