Rational Number Explained !! Number System !! Class 9th CBSE : NCERT BY Renu Maam

. #RationalNumbers 2. #Class9Maths 3. #CBSEMaths 4. #MathsClass9 5. #Mathematics 6. #CBSEBoard 7. #FractionalNumbers 8. #NumberSystem 9. #MathsTutorial 10. #MathsConcepts 11. #CBSESyllabus 12. #AlgebraBasics 13. #MathsEducation 14. #MathHelp 15. #StudyMaths 16. #MathsForKids 17. #MathsLessons 18. #OnlineLearning 19. #MathsPractice 20. #MathsTeacher #RationalNumber #cbse #cbseclass9math #Numbersystem #mathsclass In the 9th grade CBSE curriculum, a rational number is described as any number that can be expressed in the form of \(\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q \neq 0\). Rational numbers include integers, fractions, and terminating or repeating decimals. They can be positive, negative, or zero. Here are some key points about rational numbers: 1. **Representation**: Rational numbers are written as \(\frac{p}{q}\) (e.g., \(\frac{3}{4}\), \(-\frac{5}{2}\)). 2. **Properties**: **Closure**: The sum, difference, product, and quotient (except division by zero) of two rational numbers are also rational numbers. **Commutativity**: Rational numbers follow the commutative property for addition and multiplication (e.g., \(a + b = b + a\)). **Associativity**: They follow the associative property for addition and multiplication (e.g., \((a + b) + c = a + (b + c)\)). **Distributivity**: They follow the distributive property of multiplication over addition (e.g., \(a(b + c) = ab + ac\)). 3. **Decimal Representation**: A rational number can have a terminating decimal representation (e.g., \(\frac{1}{2} = 0.5\)). It can also have a repeating decimal representation (e.g., \(\frac{1}{3} = 0.333...\)). 4. **Comparison and Ordering**: Rational numbers can be compared and ordered on the number line. For example, \(\frac{2}{3}\) is greater than \(\frac{1}{3}\). 5. **Standard Form**: A rational number \(\frac{p}{q}\) is said to be in its standard form if \(p\) and \(q\) have no common factors other than 1, and \(q\) is positive. Understanding rational numbers lays the foundation for more advanced topics in mathematics, such as real numbers, algebra, and number theory.