Class 7 Maths Part 2 Chapter 2 Operations with Integers brings negative numbers into multiplication. These class 7 maths handwritten notes chapter 2 Operations with Integers follow the 2026-27 NCERT and cover the integer recap and the sign rules for multiplying.
- Sign rules boxed: what happens to the sign when you multiply two integers
- What the notes cover: a recap of integers, the number line, and multiplication of positive and negative integers
- Best for: the sign question, where most Class 7 marks are lost
You can read the complete class 7 maths handwritten notes for Operations with Integers, with boxed definitions and quick recall points, in the PDF below.
These handwritten notes are written by Maths teachers, mapped to the 2026-27 NCERT Ganita Prakash book, and checked against Class 7 school question papers.
How Collegedunia's Handwritten Notes Help You Revise Operations with Integers
Collegedunia writes its class 7 maths handwritten notes as one clean pass through the chapter. The sign rule is drawn as a small grid, so it can be checked at a glance during practice.
- Sign grid: the four sign combinations and their results in one small table
- Number line strip: integers marked with movement arrows for addition
- Solved examples: each written with the sign step shown separately
- Colour-coded sub-headings: sub-topics in red so the recap and the new work stay apart
What the Operations with Integers Handwritten Notes Cover
The chapter opens with a guessing puzzle about two numbers whose sum is 25 and difference is 11. From there it recaps integers and moves to multiplication.
- A quick recap of integers
- Positive and negative numbers on a number line
- Adding and subtracting integers
- Rakesh's number puzzle
- Multiplication of integers
- Positive times positive
- Positive times negative
- Negative times negative
- Word problems with integers
Operations with Integers Topic-wise Weightage for CBSE Class 7 Maths
Sign errors are where the marks go. Practise the rule until it is automatic.
| Sub-topic | Weightage | How often asked |
|---|---|---|
| Sign rules in multiplication | High | asked often |
| Adding and subtracting integers | High | asked often |
| Word problems with integers | Medium | asked sometimes |
| Integers on a number line | Medium | asked sometimes |
| Comparing integers | Medium | asked sometimes |
| Number puzzles | Low | asked rarely |
Why Operations with Integers Is Worth Revising Carefully
Integers appear in every later chapter and in every later class. A sign mistake here costs marks everywhere else.
- Sign errors are the single most common mistake in Class 7 papers
- A multiplication of integers question is set in every test
- Word problems use integers for temperature, depth and money
- The same rules are extended in Class 8 to rational numbers
Last 24-Hour Revision Card for Operations with Integers
The final card for integers.
- Integers are whole numbers, positive, negative or zero
- Negatives sit to the left of zero on the number line
- Same signs multiply to a positive answer
- Different signs multiply to a negative answer
- Two minus signs together become a plus
Operations with Integers Self-Assessment Quiz
Five integer questions. Tap to reveal each answer.
What is minus 3 multiplied by minus 5?
(a) minus 15 (b) 15 (c) minus 8 (d) 8
Answer: (b) 15, because two negatives give a positive
What is 4 multiplied by minus 6?
(a) 24 (b) minus 24 (c) minus 2 (d) 10
Answer: (b) minus 24, because the signs are different
Which of these is an integer?
(a) 0.5 (b) minus 7 (c) 3/4 (d) 2.25
Answer: (b) minus 7
On a number line, negative numbers lie
(a) to the right of zero (b) to the left of zero (c) above zero (d) nowhere
Answer: (b) to the left of zero
What is minus 3 minus minus 5?
(a) minus 8 (b) 2 (c) minus 2 (d) 8
Answer: (b) 2, since minus minus becomes plus
Key Terms and Ideas in Operations with Integers
A short vocabulary, but each word appears in the question stems.
| Term / Idea | What it means |
|---|---|
| Integer | any whole number, positive, negative or zero |
| Positive integer | an integer greater than zero |
| Negative integer | an integer less than zero |
| Number line | a line with numbers marked in order, negatives to the left of zero |
| Sum | the result of adding |
| Difference | the result of subtracting |
| Product | the result of multiplying |
Diagrams Drawn by Hand in the Operations with Integers Notes
The number line does most of the explaining in this chapter.
| Figure drawn by hand | What it shows |
|---|---|
| Number line | integers from minus ten to ten with zero marked |
| Sign grid | the four sign combinations with their results |
| Addition arrows | moves left and right along the line for adding integers |
| Temperature scale | a thermometer used as a vertical number line |
| Puzzle working | Rakesh's sum and difference puzzle solved on a table |
How to Use These Handwritten Notes for Maths Revision
Use these class 7 maths handwritten notes in two passes. Do the sign first, then the numbers. Splitting the two halves stops most errors.
- Draw the sign grid from memory
- Solve twenty integer multiplications, writing the sign step separately
- Place ten integers on a number line in order
- Before the test, revise the sign grid and the number line strip
Other Maths Resources for Operations with Integers
Use the notes with the solved exercises and the Ganita Prakash chapter itself.
Class 7 Maths Handwritten Notes for All Chapters
Ganita Prakash Part 1 has eight chapters and Part 2 has seven. The table below links the class 7 maths handwritten notes for every chapter.
| Chapter | Resource |
|---|---|
| Part 1 Chapter 1 | Large Numbers Around Us Handwritten Notes |
| Part 1 Chapter 2 | Arithmetic Expressions Handwritten Notes |
| Part 1 Chapter 3 | A Peek Beyond the Point Handwritten Notes |
| Part 1 Chapter 4 | Expressions using Letter-Numbers Handwritten Notes |
| Part 1 Chapter 5 | Parallel and Intersecting Lines Handwritten Notes |
| Part 1 Chapter 6 | Number Play Handwritten Notes |
| Part 1 Chapter 7 | A Tale of Three Intersecting Lines Handwritten Notes |
| Part 1 Chapter 8 | Working with Fractions Handwritten Notes |
| Part 2 Chapter 1 | Geometric Twins Handwritten Notes |
| Part 2 Chapter 2 | Operations with Integers Handwritten Notes |
| Part 2 Chapter 3 | Finding Common Ground Handwritten Notes |
| Part 2 Chapter 4 | Another Peek Beyond the Point Handwritten Notes |
| Part 2 Chapter 5 | Connecting the Dots... Handwritten Notes |
| Part 2 Chapter 6 | Constructions and Tilings Handwritten Notes |
| Part 2 Chapter 7 | Finding the Unknown Handwritten Notes |
Operations with Integers Class 7 Maths Handwritten Notes FAQs
Ques. Where can I download the Operations with Integers Class 7 Handwritten Notes PDF?
Ans. The PDF is free on this page in both the normal and the HD version.
Ques. What is the sign rule for multiplying integers?
Ans. If the two signs are the same, the product is positive. If the two signs are different, the product is negative. So negative times negative gives a positive answer.
Ques. How many pages is the Part 2 Chapter 2 handwritten notes PDF?
Ans. It runs 20 pages and covers both sections of the chapter plus a quiz.
Ques. What is an integer?
Ans. Any whole number, whether positive, negative or zero. Fractions and decimals are not integers.
Ques. Why is negative times negative positive?
Ans. Because multiplying by a negative reverses direction on the number line. Reversing twice brings you back to the original direction, so the result is positive.
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