Class 9 | Number System | Chapter 1 | Exercise 1.5 & 1.6 | Full Explanation | Maths Lecture

Welcome to our Class 9 Mathematics Classroom Lecture Series! In this video, we will thoroughly explain and solve Chapter 1: Number System - Exercise 1.5 & 1.6. This session will cover important concepts in a structured and easy-to-understand way. Link for previous videos of chapter: exercise 1.1 and 1.2:    • 📚 Class 9 Maths | Chapter 1: Number System...   exercise 1.3 and 1.4:    • Class 9 Maths | Number System | Exercises ...   🗓 New Videos Every Week: 📅 Monday & Thursday at 4 PM — Stay Tuned! 📚 Topics Covered in This Video: ✔ Understanding why π (pi) is considered an irrational number despite being defined as the ratio of a circle’s circumference to its diameter ✔ Laws of exponents for real numbers ✔ Step-by-step solutions for all questions in Exercise 1.5 & 1.6 📌 Questions Covered in This Video: Exercise 1.5 1️⃣ Classify the following numbers as rational or irrational: (i) 2−52−5 ​ (ii) 122 ​1​ (iii) 2π2π (iv) 43−2343 ​−23 ​ 2️⃣ Find three different irrational numbers between 1/2 and 3/4. 3️⃣ Show how 55 ​ can be represented on the number line. Exercise 1.6 1️⃣ Simplify the following expressions using the laws of exponents: (i) 23×2423×24 (ii) 57545457​ (iii) (32)3(32)3 (iv) 100100 (v) (23)−3(32​)−3 2️⃣ Evaluate the following using exponent laws: (i) 4−24−2 (ii) 5−35−55−55−3​ (iii) (2−1×3−1)−1(2−1×3−1)−1 📌 Homework: Solve the remaining questions from Exercise 1.5 & 1.6 of your NCERT textbook. 📚 Topics Covered in This Video: ✔ Understanding why π (pi) is considered an irrational number despite being defined as the ratio of a circle’s circumference to its diameter ✔ Laws of exponents for real numbers ✔ Step-by-step solutions for all questions in Exercise 1.5 & 1.6 📌 Questions Covered in This Video: Exercise 1.5 🔹 Recall that π is defined as the ratio of the circumference (c) of a circle to its diameter (d), i.e., π = c/d. This seems to contradict the fact that π is irrational. How will you resolve this contradiction? Exercise 1.6 🔹 Laws of exponents for real numbers 📌 Homework: Solve the remaining questions from Exercise 1.5 & 1.6 of your NCERT textbook. 👍 LIKE, 🔁 SHARE, and 🔔 SUBSCRIBE to stay updated with our regular classroom lectures! 👍 LIKE, 🔁 SHARE, and 🔔 SUBSCRIBE to stay updated with our regular classroom lectures! Tags: Class 9 Maths, Number System, NCERT Solutions, Class 9 Maths Lecture, CBSE Maths, Exercise 1.5, Exercise 1.6, Laws of Exponents, Pi Irrational Proof, Class 9 Maths Chapter 1, Maths Tutorial, CBSE Board Exam 2025, Class 9 Maths Important Questions, NCERT Maths Solutions, Class 9 Maths Online Classes, Monday and Thursday 4 PM