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Formula Sheet

Rational Number

ICSE · Class 8 · Mathematics

All formulas from Rational Number in ICSE Class 8 Mathematics. Key equations, constants, and identities for board exam preparation.

38 questions28 flashcards5 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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9 Formulas · 4 Sections

Formulas

Core definitions and sets

p/q where p, q are integers and q ≠ 0

0 = 0/1

Signs, equivalent forms, and standard form

p/q = (p × m)/(q × m) = (p ÷ m)/(q ÷ m)

a/b = c/d ⇒ a × d = b × c

Operations on rational numbers

a/b + (-a/b) = 0

a/b × b/a = 1

(a/b) × (c/d + e/f) = (a/b × c/d) + (a/b × e/f)

(a/b) × (c/d - e/f) = (a/b × c/d) - (a/b × e/f)

Division of rational numbers

a/b ÷ c/d = a/b × d/c

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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 Mind map showing the hierarchical relationship between different number systems, with rational numbers being the most inclusive, Flowchart showing the process of converting a rational number to standard form, Flowchart showing how to determine if a rational number is positive, negative, or zero based on the signs of its numerator and denominator. These are the concepts ICSE Class 8 examiners draw on most — study them first, then practise related questions.
How to score full marks in Rational Number — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 38 practice questions available for this chapter. Revise formulas and 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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All 25 chapters — ICSE Class 8 Mathematics Formula Sheet

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