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Syllabus

Rational Number — Syllabus

ICSE · Class 8 · Mathematics

What Rational Number covers in ICSE Class 8 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 8 Mathematics syllabus.

38 questions28 flashcards9 formulas & key relations5 concepts

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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.
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4 Topics · ICSE Class 8 Mathematics · 2026-27

Topics in Rational Number

1

1. Meaning of Rational Numbers

  • A rational number is a number of the form p/q where p and q are integers and q is not zero.
  • In p/q, p is called the numerator and q is called the denominator.
  • Natural numbers are counting numbers 1, 2, 3, 4, 5, ...
2

2. Standard Form and Equivalent Rational Numbers

  • A rational number is in standard form when the numerator and denominator have no common factor other than 1 and the denominator is positive.
  • 3/-5 is not in standard form; its standard form is -3/5.
  • -21/36 is not in standard form because 21 and 36 have a common factor 3.
3

3. Addition and Subtraction of Rational Numbers

  • Addition of rational numbers is closed, commutative, and associative.
  • The additive identity for rational numbers is 0.
  • The additive inverse of a rational number is its negative.
4

4. Multiplication and Division of Rational Numbers

  • Multiplication of rational numbers is closed, commutative, and associative.
  • Multiplication is distributive over addition and subtraction.
  • The multiplicative identity for rational numbers is 1.

Key Concepts

Central concept: Rational numbers and their operations

Number systemDefinition of rational numberEquivalent rational numbersStandard formAddition of rational numbersSubtraction of rational numbersMultiplication of rational numbersDivision of rational numbers

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Frequently Asked Questions

What are the important topics in Rational Number for ICSE Class 8 Mathematics?
Key topics in Rational Number include Meaning of Rational Numbers, Standard Form and Equivalent Rational Numbers, Addition and Subtraction of Rational Numbers, Multiplication and Division of Rational Numbers. Study these first, then practise questions on each for Class 8 exams.
How should I revise Rational Number for Class 8 exams?
Learn the core ideas first, then work through the 38 practice questions on Rational Number. 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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