Decimals

JCERT · Class 7 · Chapter 3 · Decimals. 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 3 · Decimals. 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)

Keep track of place value. For multiplication, add the decimal-place counts of both factors. For division, multiply dividend and divisor by the same power of ten to make the divisor an integer.

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 3 — Decimals
Official syllabus pages 57–66. 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

Keep track of place value. For multiplication, add the decimal-place counts of both factors. For division, multiply dividend and divisor by the same power of ten to make the divisor an integer.

Check and common pitfall

Multiplying both numbers by 100 preserves the quotient.

Key Formulas, Identities & Theorems

Key relationships

0.2 × 0.2 = 0.04; 50 ÷ 1.25 = 5000 ÷ 125

Observe the stated conditions and units.

Conceptual Solved Examples & Case Studies

Example 1

How many 1.25 m pieces can be cut from 50 m?

Step-by-Step Solution:

50 ÷ 1.25 = 5000 ÷ 125 = 40

Multiplying both numbers by 100 preserves the quotient.

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