Skip to main content
Super TutorResources
Chapter 1 of 5
Syllabus

Rational Numbers — Syllabus

Gujarat Board · Class 8 · Mathematics

What Rational Numbers covers in Gujarat Board Class 8 Mathematics: 4 topics, for the 2026-27 session. Topics include What Are Rational Numbers?, Closure.

45 questions4 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Rational Numbers? Get the full interactive chapter.

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

Try Super Tutor — Free

Free trial, no card needed.

A nested Venn diagram illustrating the relationships between natural numbers (N), integers (Z), rational numbers (Q), and real numbers (R) as subsets of each other.
Super Tutor

Learn better with visuals Super Tutor pairs illustrations like this with notes and quizzes for Rational Numbers.

4 Topics · Gujarat Board Class 8 Mathematics · 2026-27

Topics in Rational Numbers

1

What Are Rational Numbers?

  • A rational number is any number that can be written as p/q where p and q are integers and q ≠ 0.
  • Examples: -2/3, 6/7, 9/-5, 0, -2, 4 are all rational numbers.
  • Every integer is a rational number (e.g., -2 = -2/1).
2

Closure Property

  • A set is CLOSED under an operation if performing that operation on any two numbers from the set always gives a result that is also in the set.
  • Rational numbers are CLOSED under addition: a + b is always a rational number.
  • Rational numbers are CLOSED under subtraction: a - b is always a rational number.
3

Commutativity Property

  • An operation is COMMUTATIVE if changing the order of the two numbers does NOT change the result.
  • Addition is commutative for rational numbers: a + b = b + a.
  • Multiplication is commutative for rational numbers: a × b = b × a.
4

Associativity Property

  • An operation is ASSOCIATIVE if grouping of numbers does NOT change the result: a * (b * c) = (a * b) * c.
  • Addition is associative for rational numbers: a + (b + c) = (a + b) + c.
  • Multiplication is associative for rational numbers: a × (b × c) = (a × b) × c.

Key Concepts

A rational number is any numberA set of numbers is closedAn operation is commutative if changingAn operation is associative ifZero is the additive identity

Work through every topic in Rational Numbers with notes and quizzes

Start This Chapter

Frequently Asked Questions

What are the important topics in Rational Numbers for Gujarat Board Class 8 Mathematics?
Key topics in Rational Numbers include What Are Rational Numbers?, Closure Property, Commutativity Property, Associativity Property. Study these first, then practise questions on each for Class 8 exams.
How should I revise Rational Numbers for Class 8 exams?
Learn the core ideas first, then work through the 45 practice questions on Rational Numbers. 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 Rational Numbers

All Gujarat Board Class 8 Mathematics Syllabus

For serious students

Get the full Rational Numbers chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for Gujarat Board Class 8 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free