Course Content
Chapter 1 Rational Numbers
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Introduction
Properties of Rational Numbers
Role of 0 and 1
Distributivity of multiplication over addition for rational numbers
Additive Inverse and Multiplicative Inverse
Chapter 2 Linear Equations in one variable
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Algebraic Expressions and Equations
Solving Equations having the Variable on both Sides
Reducing Equations to Simpler Form
Chapter 3 Understanding Quadrilaterals
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Plane Surface and Plane Curve
Polygons and Their Types
Sum of the Measures of the Exterior Angles of a Polygon
Kinds of Quadrilaterals
Parallelogram: Element & its Property
Some Special Parallelograms
Application based questions
Chapter 4 Data Handling
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Introduction to Data
Types of Data Representation
Drawing PI Chart
Chance and Probability
Chance and Probability in Real Life
Chapter 5 Squares and Square Number
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Concept of Square Numbers and Perfect Squares
Properties of Square Numbers
Interesting Patterns in Square Numbers
Finding the Square of a Number
Pythagorean triplets
Concept of Square Root
Different Methods to Find Square Roots
Chapter 6 Cubes and Cube Roots
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Introduction of cubes and its properties
Intresting Pattern in Cubes
cube roots and its finding way
Chapter 7 Comparing quantities
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Introduction of Ratio & Percentage
Concept of Discount
Sales Tax/Value Added Tax/Goods and Ser vices Tax
Compound Interest: Concept, Formula, and Applications
formulas summary
Chapter 8 Algebraic Expressions and Identities
0/2
introduction
Addition, substraction & Multiplication of algebric expressions
Chapter 9 Mensuration
0/7
What we are going to learn in this chapter
Area of Polygon
Introduction of Solid Shape
Surface Area of Cubical, Cuboid and Cylinder
Volume of Cube, Cuboid and Cylinder
Understanding Capacity and its Relation to Volume
Complete List of Formulas
Chapter 10 Exponents and Powers
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Introduction to Exponents
Rules for Exponent Rules
Express Large and Small Numbers in Standard Form
Chapter 11 Direct and Inverse Proportions
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Direct Proportion
Inverse Proportions
Real-Life Examples & Uses
Chapter 12 Factorization
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Introduction to Factorization
Methods of Factorization
Common Factor Method of Factorization
Regrouping Method of Factorization
Factorization Using Identities
Factorization by Splitting the Middle Term
Division of Algebraic Expressions
Introduction to Graphs
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Introduction to Graphs
Applications of Graphs
CBSE Class 8 Maths
About Lesson

Introduction to Exponents

Exponents are a mathematical way to express repeated multiplication of a number by itself. They help simplify large numbers and make calculations easier.

What is an Exponent?

An exponent consists of two parts:

– Base: The number being multiplied.

– Exponent (Power): The number of times the base is multiplied by itself.

Example

2³ = 2 × 2 × 2 = 8

Here, 2 is the base, and 3 is the exponent, meaning 2 is multiplied by itself 3 times.

Terminology

– aⁿ → Read as ‘a raised to the power of n’

– 2² = 4 → ‘2 squared’ (because it represents a square)

– 2³ = 8 → ‘2 cubed’ (because it represents a cube)

Why Learn Exponents?

– Used in scientific notation, physics, and engineering

– Helps in computing large numbers efficiently

– Forms the basis of algebra and higher mathematics

Conclusion

Exponents are not just a mathematical concept but a real-world tool used in multiple fields. Whether you’re studying science, engineering, economics, or computing, understanding exponents will help you solve complex problems and make better predictions.

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