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Integers — Syllabus

Gujarat Board · Class 7 · Mathematics

What Integers covers in Gujarat Board Class 7 Mathematics: 4 topics, for the 2026-27 session. Part of the Gujarat Board Class 7 Mathematics syllabus.

45 questions7 formulas & key relations5 concepts

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A number line illustrating the set of integers, including positive integers, negative integers, and zero.
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4 Topics · Gujarat Board Class 7 Mathematics · 2026-27

Topics in Integers

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.

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

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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.

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All Gujarat Board Class 7 Mathematics Syllabus

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