When we combine two or more numbers along with the usage of a mathematical operator known as + (plus) sign, this mathematical expression is called arithmetic addition. For example, 9 + 2 + 5 + 4 = 20.

Summation is defined as using this arithmetic addition operation to combine various numbers to figure out the end result. The individual terms are known as addends and summands.

The symbol for summation is ∑. This symbol is used to represent the addition of a series of numbers. The term sum can also be interchangeably used instead of addition because it denotes the same operation.

## Understanding the addition table

To better understand how to use the addition table, we should keep in mind the following process. If we want to add 8 and 4, i.e. 8 + 4, all we need to do is go down the row which contains the number 8 written on it and then along the column that has 4 written on it to obtain the answer. The answer is 12. The mathematical operation of arithmetic addition is commutative. So we can also do vice versa to get the same result, going down the row that has 4 on it and along the column that has 8 on it. Both (8 + 4 = 4 + 8 = 12) give the same answer.

 + 0 1 2 3 4 5 6 7 8 9 10 0 0 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 11 2 2 3 4 5 6 7 8 9 10 11 12 3 3 4 5 6 7 8 9 10 11 12 13 4 4 5 6 7 8 9 10 11 12 13 14 5 5 6 7 8 9 10 11 12 13 14 15 6 6 7 8 9 10 11 12 13 14 15 16 7 7 8 9 10 11 12 13 14 15 16 17 8 8 9 10 11 12 13 14 15 16 17 18 9 9 10 11 12 13 14 15 16 17 18 19 10 10 11 12 13 14 15 16 17 18 19 20

There is a basic method of addition of numbers, and then there is the method of addition table used to add numbers. The above-given table is the most commonly used addition table.

## Explanation of addition table chart

The chart below is a simple explanation of using the addition table for numbers 1, 2, 3, and 4. First, pick a number and slide down to its row on the addition table, now to get the addition results for every number added to it, you can slide to the column of that number.

 Addition Table for 1 Addition Table for 2 Addition Table for 3 Addition Table for 4 1 + 1 = 2 1 + 2 = 3 1 + 3 = 4 1 + 4 = 5 2 + 1 = 3 2 + 2 = 4 2 + 3 = 5 2 + 4 = 6 3 + 1 = 4 3 + 2 = 5 3 + 3 = 6 3 + 4 = 7 4 + 1 = 5 4 + 2 = 6 4 + 3 = 7 4 + 4 = 8 5 + 1 = 6 5 + 2 = 7 5 + 3 = 8 5 + 4 = 9 6 + 1 = 7 6 + 2 = 8 6 + 3 = 9 6 + 4 = 10 7 + 1 = 8 7 + 2 = 9 7 + 3 = 10 7 + 4 = 11 8 + 1 =9 8 + 2 =10 8 + 3 =11 8 + 4 =12 9 + 1 =10 9 + 2 =11 9 + 3 =12 9 + 4 =13 10 + 1 = 11 10 + 2 = 12 10 + 3 = 13 10 + 4 = 14
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