The chief difficulty in solving an algebraic problem lies in expressing correctly the condition of the problem by means of symbols.
Rational and Irrational Numbers
In this article we shall extend our discussion of Rational and Irrational Numbers and explain in detail properties of Rational and Irrational Numbers.
Simple Formulae and their Application
In the article Simple Formula and their Applications I we dealt with algebraic formulas in the second degree, i.e., formulas related to perfect squares and the sum and difference of two squares. In this article we will be covering the algebraic formulas in the third degree, i.e., formulas related to perfect cubes and the sum […]
Simple Equations in One Variable
When one expression is equal to another, the equality of these expressions may hold either for all values of the unknown variables involved or for some particular values of the variables involved. In the former case it is called an identity and in latter case it is called an equation.
Algebraic Multiplication and Division
In the chapter Positive and Negative Quantities we explained algebraic addition and subtraction. In this chapter we shall cover simple algebraic multiplication and division.
Basic Number Properties – Commutative, Associative and Distributive
Basic number properties like commutative, associative, and the distributive properties are explored here. However, we can extend them to include the properties of zero and one. We also called these properties rules of arithmetic
An Introduction to Fundamental Algebra
Algebra like Arithmetic is a science of numbers, with this distinction that the numbers in algebra are generally denoted by letters instead of figure. Hence whenever concrete quantities come under the domain of Algebra, it is only their measures with which we must concern ourselves.
Linear Inequalities
The mathematical statement which says that one quantity is not equal to another quantity is called inequation.
Integers
Integers often referred to as the positive and negative numbers. Integers are -4, -3, -2, -1, 0, 1, 2, 3, 4 and so on. All natural numbers, negatives of natural numbers and 0, together form the set of all integers.
Understanding Simple Algebraic Formulas With Examples
Definition: Any general result expressed in symbols is called formula. In other words, a formula is the most general expression for any theorem respecting quantities. Formula: That is, the square of any two quantities is equal to the sum of their squares plus twice their product. Corrollary: Example: Find the square of Example: Simplify: Example: […]