Class 8 Math E-Learn Punjab Textbook Board PTB. Mathematics is a subject that deals with numbers, shapes, patterns, logic, and reasoning. Mathematics helps you to develop skills such as calculation, measurement, analysis, and problem-solving. If you are a student of 8th class and want to learn mathematics in an interactive and engaging way, you should check out the 8th Class Math E Learn Textbook Board.

This is a PDF version of the official textbook of mathematics for 8th class students of E Learn Board. The textbook covers all the topics and concepts that are included in the 8th class mathematics syllabus. You can find chapters on topics such as algebra, geometry, trigonometry, statistics, probability, and more.

The textbook is not just a collection of text and images, but also a multimedia resource that includes animations, videos, simulations, games, and quizzes to help you understand the concepts better. The textbook also has exercises, examples, solutions, and self-assessments that you can do to practice and test your knowledge. The textbook also has summaries, key points, glossary, and review questions at the end of each chapter to help you revise and prepare for your exams.

**Table of Content**

Operations on Sets

Real Numbers

Number Systems

**More About the PDF**

Title: Math E Learn

Filetype: PDF

Size: 2 MB

Pages: 133

Board: Punjab Text Book

Class: 8th Class

Publisher: Punjab Text Book Board Lahore

**Download PDF Links for the Book Class **8th** (Punjab Board)**

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**Here is a brief explanation of the mathematics topics FOR CLASS 08**:

**Operations on Sets:** Operations on sets are ways of combining or manipulating sets to create new sets. Some common operations on sets are union, intersection, difference, and complement. Union of two sets A and B is the set of all elements that are in either A or B or both. Intersection of two sets A and B is the set of all elements that are in both A and B. Difference of two sets A and B is the set of all elements that are in A but not in B. Complement of a set A is the set of all elements that are not in A. These operations can be represented using Venn diagrams and symbols such as ∪, ∩, −, and c.

**Real Numbers: **Real numbers are numbers that can be used to measure continuous quantities, such as length, time, or temperature. Real numbers can be represented by infinite decimal expansions, such as 3.1415… or 0.333… Real numbers include rational numbers and irrational numbers. Rational numbers are numbers that can be written as fractions of integers, such as 1/2 or 5/4. Irrational numbers are numbers that cannot be written as fractions of integers, such as √2 or π. Real numbers can be shown on a number line, where each point corresponds to a unique real number.

**Number Systems:** Number systems are systems of writing or representing numbers using symbols or digits. Different number systems have different bases, which determine how many symbols or digits are used and how they are arranged. The most common number system is the decimal number system, which has a base of 10 and uses 10 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Other number systems include the binary number system, which has a base of 2 and uses 2 symbols: 0 and 1; the octal number system, which has a base of 8 and uses 8 symbols: 0, 1, 2, 3, 4, 5, 6, and 7; and the hexadecimal number system, which has a base of 16 and uses 16 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. Number systems can be converted from one to another using various methods.

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