Wednesday, December 5, 2012

Simple Problem Sums

Introduction for simple problem sums:

Summation is the operation of joining a series of numbers using addition; the solution is their sum or total. A provisional or current total of a summation procedure is terms the operation total. The values to be summed may be integers, rational numbers, real numbers, or complex numbers, and other kinds of values than numbers can be added as well: vectors, matrices, polynomials, and in general basics of any additive collection (or even monoid).

Properties of Simple Problem Sums:

The simple problem sums consist of two properties such as commutative and associative.

1) Commutative

2) Associative

Commutative property for simple problem:

Sum is commutative, significance that one can reverse the terms in a sum left-to-right, and the solution will be the similar as the final one. Representatively, if x and y are any two numbers, then

x + y = x + y.

Associative property for simple problem:

A somewhat subtler property of sums is associativity, which comes up while one aims to describe recurring addition.Please express your views of this topic how to find slant asymptotes by commenting on blog.

(x + y)+z = x + (y + z)

Example for Simple Problem Sums:

Simple problem 1 for sums:

1)  Calculate the solution for certain real numbers. Using the commutative property 33 and 44

Solution:

Given a= 33 and b =44

Commutative property for addition

a+ b = b + a

Using the commutative property for addition

33 + 44 = 44 + 33

77 = 77

Simple problem 2 for sums:

2) Calculate the solution for certain real numbers. Using the commutative property 12 and 14

Solution:

Given a= 12 and b =14

Commutative property for addition

a + b = b + a

Using the commutative property

12 + 14 = 14 + 12

26 = 26

Simple problem 3 for sums:

3) Use associative property of sums to calculate the product of (3 + 5) + 6.

Solution:

Associative property of Sum (a + b) + c = a + (b + c)

Consider a =3, b= 5, c =6

Find the value of (a + b + c) = (3 + 5) + 6

The sums of 3 and 5 = 8

= 8 + 6

The sums of 8 and 6 is 14

Similarly find the value for a + (b + c) = 3 + (5 + 6)

The sum of 5 + 6 is 11

= 3 + 11

= 14

(a + b)+c = a + (b + c)

14 = 14

Hence associative property was proved.

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