subject: Division [print this page] Introduction of Division: Introduction of Division:
Division is the inverse of multiplication in the arithmetic operation. It determines the how many times one value is consist of another. It can be expressed as x/0.where x is the dividend. Depends upon the mathematical setting a well defined value can be assigned to the expression.
We write division of two numbers as a/b, where a is the dividend and b is the divisor.
The division of two rational numbers, where the divisor is not equal to zero, results in another rational number.
Having problem with how to calculate wavelength reading my articles, i will try to help you.click here to see.
When we divide two real numbers and the divisor is not equal to zero we get another real number.
The division of two complex numbers results in another complex number, but the divisor is not equal to zero. The polar form is used to express the division of complex numbers in simple form.
Dividend / Divisor = Quotient
Properties of Division
Basic properties of division:
A number which is divided by it is equal to 1.
A number which is divided by 1 is equal to the number itself.
Zero divided by anything is equal to zero. It is known as zero property.
Any number divided by 0 is undefined.
Three important properties of division:
When we multiply a number and then divide the product by the same number, it does not change. Or we can divide the number and get the same number by multiplying the quotient.
When we multiply the dividend and divisor by the same number the quotient wills not change. But the divisor should be the whole number.
If the dividend is a composed factor we can divide the any of the factors.
Division algorithm consists of integers, rational numbers, real numbers, complex numbers, polynomials, matrices, calculus etc.
Special Cases
Some other properties of division:
Division of right identity element:
This identity of an element is obvious. Here 3/1 is not equal to 1/3.
Division over addition for right distributive property.
