Multiplying Variables with Exponents – Rule – Examples Multiplication of variables with exponents In this tutorial, we will learn the multiplication of variable with exponents. If the base of a term is a variable, we use the same rules of multiplication that are used for numbers. When the variable bases are same, the powers are […]

Read More →

Multiplying Exponents with Difference Base and Same Powers In this tutorial, we will learn the rule of multiplication of exponents with different bases but same powers. When we multiply exponents with different bases and same powers, we can simply multiply the bases and keep the exponent same. Mathematically it can be written as, [ an  […]

Read More →

Solve a Linear Equation by Transposition Method First let’s a review what is an equation. In mathematics, an equation is a mathematical expression where two sides of expression are connect to an “equality sign”. In this tutorial we will learn how to solve a linear equation in one variable by transposition method. This method is […]

Read More →

Exponents and Power Rules In this chapter we will learn about exponent and power. These are very large numbers, and difficult to read, and compare. To make these numbers easy to read, compare and understand we use exponents. Exponents  Definition: When a number repeatedly multiply by itself, we raise it to a power. This is known as […]

Read More →

Sets – Cartesian Product of Sets If A and B are two non empty sets, then their Cartesian Product A x B is set of all possible ordered pairs. A x B = {(x, y) : x ∈A, y ∈ B} where the elements of A are comes first and the elements of B are […]

Read More →

Rules of Addition and Subtraction of like Terms  In this lesson we will learn, how to add and subtract like terms Like Terms In an algebraic expression, like terms are terms that have same variables with same exponents and only the numerical coefficients of like terms are different. The terms must have the same variables […]

Read More →

Order of mathematical Operations The four basic operation in mathematics, as everyone knows, are addition, subtraction, multiplication and division. These basic operations are used in algebra with numbers or letters or combination of both. A number multiplied by a variable, a number or variable is called a term. An expression is combination of such terms. Example: In […]

Read More →

Theorem The perpendicular from the center of a circle to a chord bisects the chord. Given: A circle with center O, AB is chord of a circle and OC perpendicular from the center to the chord  AB. i.e.    OC ⊥ AB  therefore  ∠OCA and ∠OCB Both angles are 900.   To prove: AC = CB (C is the mid point of chord AB)    […]

Read More →

          Representation of sets There are three methods of representing a set. 1. Statement form method 2. Roster or tabular form method 3. Rule or Set builder form method                       Statement form method In this method well defined description of the […]

Read More →