If you need to do sums online, our calculator will allow you to** calculate the sum of up to four numbers** automatically. If you do not need to add four numbers, you can leave their values blank and they will not be taken into account to calculate the final result.

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## Parts of sums

The summation operation consists of a series of **elements that are always present**:

**Sign +**The sign is obviously the one that marks the type of operation we are performing. In this case, the + indicates that we are dealing with an addition.**Additions**The sum of the numbers involved in the addition is called the summands.**Sum**is the name given to the result of the operation. It can also be seen as 'total'.

## Properties of sums

The addition operation has a series of **properties you need to know** to avoid making mistakes when adding up several numbers:

### Associative property

The associative property states that **it does not matter the order in which we group the summands** since the result of the sum will not be modified. This can be seen represented below:

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

In any of the three possible cases, **the result of the operation will always be the same**. Let's see it with a practical example to make it much clearer:

(2 + 3) + 1 = 2 + (3 + 1) = (2 + 1) + 3 = 6

It does not matter the groupings of addends that we make in the sum because thanks to the associative property, the result will always be similar.

### Commutative property

The commutative property states that** in the sum of two numbers, the order of the addends does not matter.** since the result will always be the same:

x + y = y + x

If we apply it to a practical example we have that:

4 + 3 = 3 + 4 = 7

### Neutral element

**The neutral element in the sum is the number 0.**. This means that any number to which we add zero, will result in its initial value:

x + 0 = x

Applying the neutral element to a practical example we have that:

2 + 0 = 2

## Addition of fractions

**If you need to add fractions**we also have at your disposal a calculator for adding fractions in which you can write the numerator and denominator and obtain the result in irreducible or decimal format.