Class 8 · Chapter 3

A Story of Numbers

Rational numbers: representation, operations, properties.

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Ganita Prakash · Class 8 Part 1 (2026-27)
Tip: NCERT updated the syllabus for 2026-27. The links above open the latest edition on the official portal — chapter titles and numbering may differ from the notes shown here.
Detailed theory
Add/subtract via common denominator. Multiply straight. Divide by multiplying by reciprocal. Simplify final answer.
Key concepts & formulas
01
**Rational**: pq\dfrac p q where p,qp, q integers, q≠0q\ne 0.
02
Closed under +,−,×,÷+, -, \times, \div (except ÷0\div 0).
03
Additive inverse of pq\tfrac p q: −pq-\tfrac p q.
04
Multiplicative inverse (reciprocal) of pq\tfrac p q: qp\tfrac q p.
05
Between any two rationals, infinitely many rationals lie.
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026