Integers

JCERT · Class 7 · Chapter 1 · Integers. Topic notes aligned to the official chapter; these are not solutions to every textbook exercise.

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Why This Chapter Matters

JCERT · Class 7 · Chapter 1 · Integers. Topic notes aligned to the official chapter; these are not solutions to every textbook exercise.

Before You Begin (Prerequisites)

Revise relevant arithmetic and ideas from the previous grade.

What You Will Learn (Core Objectives)

Integers include negative integers, zero and positive integers. Numbers increase to the right on a number line. Addition and multiplication are closed, commutative and associative; subtraction is closed but neither commutative nor associative. Division need not give an integer; division by zero is undefined.

Chapter Roadmap & Progression

1 Syllabus, textbook and notes alignm...

2 Concept and method

3 Check and common pitfall

Complete Concept Guide (100% Curriculum Coverage)

Syllabus, textbook and notes alignment

JCERT · Regular schools (Non-SOE) · Class 7 · Chapter 1 — Integers
Official syllabus pages 1–39. Official syllabus · Prescribed Hindi book (22 chapters) · Separate supplementary reference.

These topic notes and teaching examples are not a complete answer key to every textbook question. English notes use this same JCERT chapter order; a matching English textbook PDF has not been verified.

Official Hindi PDF for this exact chapter

Concept and method

Integers include negative integers, zero and positive integers. Numbers increase to the right on a number line. Addition and multiplication are closed, commutative and associative; subtraction is closed but neither commutative nor associative. Division need not give an integer; division by zero is undefined.

Check and common pitfall

Subtracting a negative number means adding its positive opposite.

Key Formulas, Identities & Theorems

Key relationships

a − b = a + (−b); a × (b + c) = ab + ac

Observe the stated conditions and units.

Conceptual Solved Examples & Case Studies

Example 1

Evaluate (-8) + 5 − (-4).

Step-by-Step Solution:

−8 + 5 + 4 = 1

Subtracting a negative number means adding its positive opposite.

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Timed CBT Practice Tests (Exam Simulator)

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