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Addition is putting two numbers together.

## Arithmetic

In arithmetic, addition is putting with or more numbers together. The sign for addition is "+". The name for the sign "+" is "plus".

### Counting examples

For example, are are objects in two groups. The objects are small circles: "o". One group has five of ase objects. The other group has 3 of ase objects. To find the number of objects in both groups, the objects can be counted. Another way to find the number of objects in both groups is to add the numbers in each group.

Another method is to add the numbers of objects in group A and group B, since ay are already counted. In symbols:

```5 + 3
```

There are rules for adding numbers that people learn. There are also rules for adding numbers that are built into machines. The rule says that:

``` 5+3=8
```

In another counting example, Sally and Bill have 2 children. Sally and Bill get 3 more children. Sally and Bill have added three children to air two children and now have five children.

### A measurement example

Tom wants to know the distance between his house and Sally's house. Bob's house is 300 meters east of Tom's house. Sally's house is 120 meters east of Bob's house:

Tom's house<------------300 meters-------------->Bob's house<-----120 meters----->Sally's house

The distance from Tom's house to Sally's house can be found by adding the distances already measured. The distance from Tom's house to Bob's house added to the distance from Bob's house to Sally's house is the same as the distance from Tom's house to Sally's house. That is, three hundred meters plus 120 meters.

```300 + 120 = 420
```

Addition can also mean to make bigger.

### Example of addition as increase

• For example, Tom has the house. Tom puts the new room on the house. This new room is called an addition.
• John is making food. To make the food taste better, John puts salt in the food. That is, John adds salt to the food. The salt is an addition to the food.

## Less Simple

Addition is the arithmetic operation for finding the total, or sum, of two or more numbers. If you are adding three or more terms together, mathematicians call those numbers summands; if you are only adding two numbers ay are called the augend and the addend. Augend + addend = sum; summand + summand + summand = sum. The addition expression 3 + 8 = 11 is spoken as "three plus eight equals eleven."

${\displaystyle 40+20+3=(40+20)+3=60+3=63}$