Mathematics Concept Notes for Class 7: Chapter 09 Rational Numbers
Access comprehensive revision notes for Chapter 09 Rational Numbers using the CBSE Class 7 Mathematics Rational Numbers Notes Set 10. Designed to align with the 2026-27 academic syllabus for Class 7 Mathematics, these concept summaries help students streamline their exam preparation and review complex topics efficiently.
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Rational Numbers
A rational number is a number of the form p/q where p and q are integers and q is not zero. Every integer and every fraction is rational. It is in standard form when q is positive and p and q have no common factor except 1; to reach it, divide both by their HCF. Zero is rational but neither positive nor negative.
Operations
To add or subtract, convert to a common denominator (use the LCM) and add or subtract the numerators. To multiply, multiply numerators and denominators. To divide, multiply by the reciprocal of the divisor. Addition and multiplication are commutative, associative and distributive.
Inverses and Order
The additive inverse of a is -a (their sum is 0), and the multiplicative inverse (reciprocal) of a/b is b/a (their product is 1). To compare rationals, make denominators equal. Between any two rational numbers there are infinitely many others; their mean is one of them.
Worked Example
Simplify -3/4 + 5/6. The LCM of 4 and 6 is 12, so the sum is -9/12 + 10/12 = 1/12.
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Study Material and Revision Notes for Class 7 Mathematics Chapter 09 Rational Numbers
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Review targeted chapter notes for Class 7 Mathematics Chapter 09 Rational Numbers. Built according to official CBSE guidelines, these summaries highlight high-yield topics frequently tested in school evaluations.
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You can download the teacher prepared revision notes for CBSE Class 7 Mathematics Rational Numbers Notes Set 10 from StudiesToday.com. These notes are designed as per 2026-27 academic session to help Class 7 students get the best study material for Mathematics.
Yes, our CBSE Class 7 Mathematics Rational Numbers Notes Set 10 include 50% competency-based questions with focus on core logic, keyword definitions, and the practical application of Mathematics principles which is important for getting more marks in 2026 CBSE exams.
Yes, our CBSE Class 7 Mathematics Rational Numbers Notes Set 10 provide a detailed, topic wise breakdown of the chapter. Fundamental definitions, complex numerical formulas and all topics of CBSE syllabus in Class 7 is covered.
These notes for Mathematics are organized into bullet points and easy-to-read charts. By using CBSE Class 7 Mathematics Rational Numbers Notes Set 10, Class 7 students fast revise formulas, key definitions before the exams.
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