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Article: Difficulties of Junior Students in India Junior students in India face several challenges that affect their academic performance and overall development. These young learners often struggle with the pressure of high academic expectations. From an early age, they are burdened with heavy school bags, long homework assignments, and regular examinations. This can lead to stress and anxiety, which hinders their natural curiosity and love for learning. Another major difficulty is the lack of personalized attention. Many schools in India have overcrowded classrooms, making it hard for teachers to address the individual needs of students. As a result, some children fall behind and lose interest in studies. Language barriers are also a concern. India is a multilingual country, and students may face problems if they are taught in a language that is not their mother tongue. This affects their understanding and confidence. Additionally, not all students have access to proper resources...

NCERT Class 8 Maths Chapter 1: Rational Numbers - Explanation 1. What are Rational Numbers? A rational number is a number that can be expressed in the form p/q , where: p and q are integers. q ≠ 0 (denominator cannot be zero). Examples: 5, 5/1, 7/2 (All these are rational numbers.) 2. Properties of Rational Numbers Rational numbers follow several mathematical properties: (i) Closure Property Rational numbers are closed under addition, subtraction, and multiplication. Example: (which is also a rational number). 1/2 + 3/4 = 1 2/3 - 1/3 = 1/3 2/3 x 3/4 = 6/12 = 1/6 Not closed under division (as division by zero is not defined). 5 ÷ 3 = 2.666... (ii) Commutative Property Addition and multiplication of rational numbers are commutative . 2 + 3 = 3 + 2 2 x 3 = 3 x 2 (iii) Associative Property Addition and multiplication are associative . (2 + 3) + 4 = 2 + (3 + 4) (2 x 3) x 4 = 2 x (3 x 4) (iv) Distributive Property Multiplication distributes ove...