MyMaths MyLife

Addition and Multiplication are said to be commutative, because
A+B = B+A
A*B = B*A

Addition and Multiplication are said to be Associative, because
(A+B)+C = A+(B+C)
(A*B)*C = A*(B*C)

Multiplication is Distributive over Addition, because
A*(B+C) = (A*B)+(A*C)

here A, B, C represent any Real Number

Factorial is defined for any positive integer. It is denoted by !. Thus “Factorial n” is written as n!. n! is defined as the product of all the integers from 1 to n.

Thus n! = 1.2.3.. ... (n-1),n.

Example 5! = 1*2*3*4*5 = 120

0! is defined to be equal to 1.
Therefore 0! = 1 and 1! = 1

n!=n*(n-1)!
eg: 10!=10*(10-1)!=10*(9)!

A decimal in which a digit is repeated continuously is called a Recurring decimal. Recurring decimals are written in a shortened form, the digits which are repeated being marked by dots placed over the first and the last of them, thus




The digit, or set of digits, which is repeated is called the period of the decimal. In the decimal equivalent to 8/3, the period is 6. In 21/22 it is 54.
behaves

In the previous post we have discussed little bit about algebra. Here take a look about variables and constants.

In arithmetic, the numbers used have definite values. These values do not change. But the letters used in algebra have no particular value and may have any value assigned to them.

Consider,
The perimeter 'p' of a rectangle of length 'l' and breadth 'b' is p = 2(l+b). Here '2' is a fixed number. The letters p, l and b have no fixed value. They can take any positive value depending upon the size of the rectangle.

So, a letter symbol which can take any value of a certain set is called a variable. Above p, l and b are variables. Quantities which have only one fixed value are called constants. Above 2 is a constant.

Algebra is my favorite part in maths because it is easy. You will not find any difficulty when comparing with other parts.

Algebra is the part of the maths. In algebra, letters are used to represent numbers. The letters which are used to represent numbers are called literal numbers or literals. Using of literals in place of numerals helps us to think in more general terms and obtain a rule.

Consider 5*6 = 6*5 , -2*3 = 3*-2 , (1/2)*(3/4) = (3/4)*(1/2)
We can generalize the fact by the statement that the product of two rational numbers remains same in whichever order they are multiplied.
This can further be simplified by using symbols as, a*b = b*a , where a and b are any two rational numbers.