In simplest way Algebra is a generalized form of Arithmetic.
In Arithmetic we only deal with numbers. There we include different operations on numbers which have one single definite value.
But in the algebra we not only deal with numbers, we deal with some letters also which represent different numbers. These letters may have any value we choose to assign to them. There is no restriction to the numerical values a letter may represent.
Suppose for example, let 'x = 1', that does not mean that x must always have the value 1, but only for this example we can consider x = 1.
For Example:
5x, 2x + 5, 2a + 2, y - 2x, x + 10y, x + 2y - 3z, etc.
Suppose, we consider three circles of radii 7 cm, 8 cm and 9 cm.
We can say here that are three circles of radius r cm, where, ‘r’ represents different numbers.
The letters used in Algebra are called Variables or literal number or simply literals.
Generally in algebra we operate letters or symbols without assigning any particular numerical value at all.
According to the definition of algebra, premising that the signs +, -, × and ÷ are used with the same meaning as in Arithmetic.
Also, the following sign and symbols are frequently used in algebra and have the same meanings as they have in any other branch of Mathematics.
= means, "is equal to"
≠ means, "is not equal to"
< means, "is less than"
> means, "is greater than"
≮ means, "is not less than"
≯ means, "is not greater than"
∴ means, "therefore"
∵ means, "because" or "since"
~ means, "difference between"
⇒ means, "implies that"
Algebra
Properties of Multiplication of Literals
● Literal Numbers - Worksheets
Worksheet on Addition of Literals
Worksheet on Subtraction of Literals
Worksheet on Multiplication of Literals
Worksheet on Division of Literals
Worksheet on Powers of Literal Numbers
● Constants and Variables - Worksheet
Worksheet on Constants and Variables
● Terms
Adding and Subtracting Like Terms
● Terms - Worksheets
Worksheet on Like and Unlike Terms
● Terms of an Algebraic Expression
Types of Algebraic Expressions
Multiplication of Two Monomials
Multiplication of Polynomial by Monomial
Multiplication of two Binomials
Division of Polynomial by MonomialDidn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
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