Class 7 Maths Part 2 Chapter 2, Operations with Integers, builds on integer addition and subtraction using token/carrom models and number-line patterns to establish the rules for multiplying and dividing positive and negative integers, magic integer grids, and multi-term integer expressions.
What Class 7 Mathematics Chapter 2 Covers
2.1 A Quick Recap of Integers reviews positive and negative integers through number-sum/difference challenges, carrom coin scoring and elevator movement models.
2.2 Multiplication & Division of Integers uses patterns and token models to show why $(+) \times (-) = (-)$, $(-) \times (+) = (-)$ and $(-) \times (-) = (+)$, extends the sign rules to division of integers, and evaluates bracketed integer expressions and magic grids.
Exercises in Chapter 2
- Figure it Out exercise sets and Summary with geometric and algebraic puzzles.
Read Class 7 Mathematics Chapter 2 Online
More Chapters
- Previous: Chapter 1: Geometric Twins
- Next: Chapter 3: Finding Common Ground
- All Mathematics chapters and the other Class 7 books: Class 7 NCERT books 2026-27
FAQ
What are the sign rules for multiplying and dividing two integers?
The product or quotient of two integers with the same sign (both positive or both negative) is always positive; the product or quotient of two integers with opposite signs (one positive and one negative) is always negative.
Why is the product of two negative integers positive?
Following the distributive property and pattern consistency—for example, $(-3) \times 2 = -6$, $(-3) \times 1 = -3$, $(-3) \times 0 = 0$—each decrease of 1 in the multiplier increases the product by 3, so $(-3) \times (-1) = +3$ and $(-3) \times (-2) = +6$.