Class 7 Maths (Part II) Chapter 2 : Operations with Integers | Number Puzzles, Token Model for Multiplication, Division Rules & Practical Problems
Complete Chapter 2 (Part II) guide: Rakesh's number puzzles (sum and difference), modelling integer movement on a line (carrom strikes, direction), using colored tokens (positive/negative) to understand addition, subtraction and multiplication, rules for multiplying and dividing integers (signs logic), properties like commutativity, associativity and distributivity, Collatz conjecture with integers, temperature drops, plus solved examples and practice questions for CBSE Class 7 Maths
Updated: 6 months ago
Operations with Integers
Class 7 Mathematics Chapter 2 | Complete Guide | Operations on positive and negative numbers 2025
Chapter at a Glance – Operations with Integers
This chapter recaps integers and explores operations like addition, subtraction, multiplication, and division using models like tokens and number lines.
Main Topics Covered
- Recap of integers using puzzles and carrom coin model
- Addition and subtraction with token model
- Multiplication of integers using token model for all sign combinations
- Patterns in integer multiplication
- Division of integers and rules for signs
- Properties: commutative, associative, distributive
- Expressions with integers and pick the pattern
- Applications in exams, elevators, temperature, profit/loss
- Magic grids and Terhüchü game
Key Takeaways for Exams
Sign Rules Multiplication
(+) × (+) = (+), (-) × (-) = (+), (+) × (-) = (-)
Sign Rules Division
Same as multiplication for quotient signs
Additive Inverse
-a for a, used in subtraction as addition of inverse
Commutative
a × b = b × a
Associative
(a × b) × c = a × (b × c)
Distributive
a × (b + c) = a × b + a × c
Identity
1 × a = a, -1 × a = -a
Token Model
Green +, red -, zero pairs for operations
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