Integers Class 7 | Chapter 1 Full Explanation + NCERT Solutions | Class 7 Maths | Study 21A

Class 7 Maths Chapter 1 – Integers | Full Chapter Explanation + NCERT Exercise Solutions | Study 21A** Welcome to *Study 21A**, your go-to channel for **easy and clear Maths explanations**. In this video, we bring you the complete guide to **Class 7 Mathematics Chapter 1 – Integers**. Whether you are a CBSE student, UP Board student, or from any other state board, this chapter is the **foundation of number systems* and is very important for understanding higher classes. In this video, we will cover: Complete concept of Integers Real-life applications of integers NCERT textbook explanation Exercise-wise solutions with step-by-step explanation Practice questions for self-assessment Important tips and tricks for solving integer problems easily --- *What are Integers? – Chapter Introduction* The word *Integer* comes from the Latin word “*integer*” which means **whole or complete**. Integers are a set of numbers that include: *Positive numbers* (like 1, 2, 3, ...) *Negative numbers* (like –1, –2, –3, ...) *Zero (0)* So, *Integers = {... –3, –2, –1, 0, 1, 2, 3, ...}* This chapter will teach you how to: Compare integers Represent them on a number line Perform basic operations like addition, subtraction, multiplication, and division Understanding integers is very useful in: Real-life situations like measuring temperature, profits/losses Algebra and coordinate geometry in higher classes Competitive exams where quick calculations are needed --- *NCERT Class 7 Chapter 1 – Topics Covered* This video follows the *NCERT textbook pattern* and explains all concepts in a **step-by-step and logical manner**. The topics covered include: 1. *Understanding Integers* What are integers? How are they different from natural and whole numbers? Real-life examples: Temperature, sea level, bank balance 2. *Representation of Integers on a Number Line* Placing positive and negative numbers Understanding direction and distance Number line tricks to visualize operations 3. *Ordering of Integers* How to compare two integers? Greater than, less than, equal to Practice with real-world contexts 4. *Addition of Integers* Same sign → Add and keep the sign Different sign → Subtract and take the sign of bigger number Using number line for visual understanding *Example:* –5 + (–3) = –8 –7 + 4 = –3 5. *Subtraction of Integers* Convert subtraction to addition of additive inverse Solve using number line and rules *Example:* –5 – (–3) = –5 + 3 = –2 7 – (–4) = 7 + 4 = 11 6. *Multiplication of Integers* Sign rules: (+) × (+) = + (–) × (–) = + (+) × (–) = – (–) × (+) = – *Example:* –3 × –4 = 12 –5 × 2 = –10 7. *Division of Integers* Same sign = Positive Different sign = Negative Always divide absolute values and then apply sign rule *Example:* –12 ÷ 4 = –3 –18 ÷ (–6) = 3 --- *Exercise-Wise NCERT Solutions Included in This Video* This video includes *detailed solutions* to the following NCERT exercises: *Exercise 1.1* Number line practice Comparing and ordering integers True/false questions Word problems *Exercise 1.2* Rules of addition and subtraction Word problems *Board Exam Relevance* Even though Class 7 doesn't have board exams, this chapter is important for: *Class 8 Algebra & Rational Numbers* *Class 9 Real Numbers & Linear Equations* *Class 10 Polynomials and Equations* Competitive exams like NTSE, Olympiads Building a strong concept here ensures that students never fear negative numbers and calculations in future classes. --- *Next Videos Coming Up in This Series:* Class 7 Maths Chapter 2 – Fractions and Decimals Chapter-wise short tricks for quick answers Live sessions for doubt solving Sample question paper discussions Make sure to *SUBSCRIBE* and *turn on the bell icon* so you never miss an update! --- *Support & Connect with Study 21A* If you found this video helpful: *LIKE* the video to support us *COMMENT* your doubts – we’ll reply to each *SHARE* it with your classmates *SUBSCRIBE* for full Class 7 Maths coverage --- *Final Note from Study 21A* Dear students, **Class 7 is your base-building year**, and this chapter is the root of your understanding of negative numbers. Take your time, practice regularly, and ask questions freely. We at *Study 21A* are here to help you every step of the way in your learning journey. *Stay curious, stay consistent – and Maths will become your favorite subject!* Thanks for watching, *Team Study 21A* ---