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Rational Numbers — Revision Notes

ICSE · Class 7 · Mathematics

Rational Numbers revision notes for ICSE Class 7 Mathematics: 4 topics in quick points. Part of the ICSE Class 7 Mathematics syllabus.

39 questions28 flashcards6 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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Key Topics to Revise

1

1. What Rational Numbers Are

  • A rational number is written as p/q, where p and q are co-prime integers and q is not zero.
  • p is the numerator and q is the denominator.
  • Every integer is a rational number, but not every rational number is an integer.
2

2. Number Line Representation and Comparison

  • Positive rational numbers lie to the right of 0 on the number line.
  • Negative rational numbers lie to the left of 0 on the number line.
  • A number on the left of another number is smaller.
3

3. Finding Rational Numbers Between Two Given Numbers

  • An infinite number of rational numbers can be inserted between two rational numbers.
  • A common method is to make denominators equal and then list the fractions between them.
  • Different valid methods may give different inserted numbers.
4

4. Addition and Subtraction of Rational Numbers

  • When denominators are equal, add or subtract the numerators and keep the denominator same.
  • When denominators are unequal, first make the denominators equal.
  • Always simplify the final answer if possible.

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Full Notes

Key Concepts

A rational number has the formA rational number m/n isA rational number is positive whenPositive rational numbers lie toPositive rational numbers are greater than

Frequently Asked Questions

What are the important topics in Rational Numbers for ICSE Class 7 Mathematics?
Key topics in Rational Numbers include What Rational Numbers Are, Number Line Representation and Comparison, Finding Rational Numbers Between Two Given Numbers, Addition and Subtraction of Rational Numbers. Study these first, then practise questions on each for Class 7 exams.
How should I revise Rational Numbers for Class 7 exams?
Learn the core ideas first, then work through the 39 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.

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All ICSE Class 7 Mathematics Revision Notes

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