## The Addition Calculator Formula

$y = a + b$

## Definition of the Addition Function

Addition is a process of combining quantities to find a total or a result. When adding two numbers, the addends are combined to form a sum. For example, adding 3 and 5 results in a sum of 8 (3 + 5 = 8). Addition is commutative, meaning that changing the order of the addends does not change the sum. For instance, adding 3 and 5 yields the same result as adding 5 and 3, both resulting in a sum of 8.In addition to whole numbers, addition can be performed with fractions, decimals, and even complex numbers. The process involves adding the corresponding parts of the numbers. For example, when adding fractions, the numerators are added together while keeping the denominators the same. Addition follows specific rules and properties, such as the associative property, which states that changing the grouping of the addends does not change the sum. For example, (2 + 3) + 4 is equal to 2 + (3 + 4), both resulting in a sum of 9.In computer programming, the addition function is typically implemented as a built-in operator or as a function/method provided by the programming language, allowing for the addition of numerical values.