Skip to main content
Super TutorResources
Chapter 1 of 5
Revision Notes

Integers — Revision Notes

Gujarat Board · Class 7 · Mathematics

Integers revision notes for Gujarat Board Class 7 Mathematics: 4 topics in quick points. Part of the Gujarat Board Class 7 Mathematics syllabus.

45 questions7 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Integers? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

Free trial, no card needed.

A number line illustrating the set of integers, including positive integers, negative integers, and zero.
Super Tutor

An illustration from Super Tutor's Integers chapter — alongside flashcards, concept maps and practice questions.

Key Topics to Revise

1

Properties of Addition and Subtraction of Integers

  • The sum of any two integers is always an integer (Closure under Addition).
  • The difference of any two integers is always an integer (Closure under Subtraction).
  • Integers can be added in any order and the result remains the same (Commutative Property of Addition): a + b = b + a.
2

Multiplication of Integers

  • Positive × Positive = Positive. Example: 4 × 5 = 20.
  • Positive × Negative = Negative. Example: 3 × (–5) = –15.
  • Negative × Positive = Negative. Example: (–4) × 7 = –28.
3

Properties of Multiplication of Integers

  • Integers are closed under multiplication: a × b is always an integer.
  • Multiplication is commutative for integers: a × b = b × a.
  • Multiplication is associative for integers: (a × b) × c = a × (b × c).
4

Division of Integers

  • Division is the inverse operation of multiplication.
  • Positive ÷ Negative = Negative. Example: 72 ÷ (–8) = –9.
  • Negative ÷ Positive = Negative. Example: (–20) ÷ 5 = –4.

Get complete notes with diagrams and examples

Full Notes

Key Concepts

Integers are the set of allWhen you add any two integersWhen you subtract one integer fromThe order in which you addThe order in which you subtract

Frequently Asked Questions

What are the important topics in Integers for Gujarat Board Class 7 Mathematics?
Key topics in Integers include Properties of Addition and Subtraction of Integers, Multiplication of Integers, Properties of Multiplication of Integers, Division of Integers. Study these first, then practise questions on each for Class 7 exams.
How should I revise Integers for Class 7 exams?
Learn the core ideas first, then work through the 45 practice questions on Integers. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Integers

All Gujarat Board Class 7 Mathematics Revision Notes

For serious students

Get the full Integers chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for Gujarat Board Class 7 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free