Chapter-6 Operations on Algebraic Expressions
About RS Aggarwal Solutions for Class 8 Maths Chapter-6 Operations on Algebraic Expressions
Operations on algebraic expressions involve manipulating and simplifying expressions using various arithmetic operations. Here is a short description of the key operations on algebraic expressions:
Addition and Subtraction: When adding or subtracting algebraic expressions, you combine like terms. Like terms have the same variables raised to the same powers. For example, in the expression 3x + 2y - 5x + 4y, the like terms are 3x and -5x, as well as 2y and 4y. Adding or subtracting these terms gives you the simplified expression -2x + 6y. For RS Aggarwal's class 8 Maths check out the page and if you need home tuition for class 8 Maths find the right tutors
Multiplication: To multiply algebraic expressions, you use the distributive property. This property states that when multiplying a term or expression by another term or expression, you distribute the multiplication over each term. For example, in the expression 2(x + 3), you multiply 2 by each term inside the parentheses, resulting in 2x + 6.
Division: Dividing algebraic expressions involves simplifying or canceling common factors. For example, in the expression (4x^2 - 8x) / 2x, you can divide each term by 2x, resulting in 2x - 4.
Simplification: Simplifying algebraic expressions involves combining like terms, eliminating parentheses, and applying the rules of arithmetic operations. For example, in the expression 3(x + 2) - 2(x - 4), you simplify by distributing the multiplication and combining like terms to get 3x + 6 - 2x + 8, which further simplifies to x + 14.
These operations allow you to perform calculations, solve equations, and manipulate algebraic expressions to simplify them or transform them into a more convenient form for analysis and problem-solving. Practice exercises involving these operations help strengthen your understanding of algebraic expressions and their manipulation.
Exercise of RS Aggarwal Solutions for Chapter-6 Operations on Algebraic Expressions
Class 8 Maths Operations on Algebraic Expressions (Ex 6A) Exercise 6.1
Class 8 Maths Operations on Algebraic Expressions (Ex 6B) Exercise 6.2
Class 8 Maths Operations on Algebraic Expressions (Ex 6C) Exercise 6.3
Class 8 Maths Operations on Algebraic Expressions (Ex 6D) Exercise 6.4
Class 8 Maths Operations on Algebraic Expressions (Ex 6E) Exercise 6.5
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Related Links
- Chapter-1 Rational Numbers
- Chapter-2 Exponents
- Chapter-3 Squares and Square Roots
- Chapter-4 Cubes and Cube Roots
- Chapter-5 Playing with Numbers
- Chapter-6 Operations on Algebraic Expressions
- Chapter-7 Factorisation
- Chapter-8 Linear Equations
- Chapter-9 Percentage
- Chapter-10 Profit and Loss
- Chapter-11 Compound Interest
- Chapter-12 Direct and Inverse Proportions
- Chapter-13 Time and Work
- Chapter-14 Polygons
- Chapter-15 Quadrilaterals
- Chapter-16 Parallelograms
- Chapter-17 Construction of Quadrilaterals
- Chapter-18 Area of a Trapezium and a Polygon
- Chapter-19 Three-Dimensional Figures
- Chapter-20 Volume and Surface Area of Solids
- Chapter-21 Data Handling
- Chapter-22 Constructing and Interpreting Bar Graphs
- Chapter-23 Pie Charts
- Chapter-24 Probability
- Chapter-25 Graphs