Concept in Definition ABC
Miscellanea / / July 04, 2021
By Florencia Ucha, in Jan. 2009
The sum or for some others the addition, is that mathematical operation of composition which consists of combining or, failing that, adding two or more numbers to obtain a specific final or total amount of something. For example, in a restaurant, the value of each of the things that a certain table consumed: a portion of French fries, a Milanese, a pizza and the pertinent drinks that each one has had, will be added so that the owner of the same or the person in charge of the box, just like him client that he consumed them, know how much is the final and total amount that the client must pay for having consumed them.
The sum has five properties, the commutative one that states that even altering the order of the addends, it will not change the result, therefore, 2 + 1 = 3 is the same as saying or putting 1 + 2 = 3. The associative one that we can explain graphically in this way: a + (b + c) = (a + b) + c. Element neutral which says that any sum that contains the number 0 between the elements to be added will not be modified by this, since 2 + 0 = 2. The opposite element that states that for any number
rational, integer, real or complex there is an opposite number. And finally, the property Distributive, which holds that the sum of two numbers multiplied by a third will be equal to the sum of each addend multiplied by the third number, for example: 4 * (6 + 3) = 4 * 6 + 4 * 3.As a condition without equanom and as a rule also, whenever we write a sum, either for someone else to do it or that we have done it ourselves to obtain some calculation In particular, this sign + must appear among the various numbers or figures to be added, which is the sign that implies the plus or the sum.
When sums of more than one figure are made, for example 2333 + 300 + 20 + 5, they must be ordered and arranged in columns starting from the right with the units figure, continuing through the tens, then the hundreds and then the thousands, so on example:
2.333
+ 300
20
5
But the term sum does not only refer to the mathematical operation that we explained in the preceding paragraphs, but it also applies to other contexts or situations. Because the term is used very frequently to talk about the set of many things and especially money, that is why it is common hear say such he received a large sum of money as inheritance from his uncle.
And finally, the word sum is also applied when you want to talk about the compendium or the compilation of a certain science, for example, Juan prepared a sum of math for the rest of her companions.
Topics in Sum