Additionssumme

Additionssumme is a term used in German-language mathematics to denote the sum of numbers that are added together in an addition problem. It corresponds to the result of the addition operation, commonly referred to simply as the sum. In elementary arithmetic, the Additionssumme is obtained by combining the addends: for example, the Additionssumme of 7 and 4 is 11, and the Additionssumme of 2, 5, and 9 is 16. The concept emphasizes the total result rather than the individual terms, and it applies to any finite set of addends, including negative numbers.

The Additionssumme has the familiar properties of addition, namely commutativity and associativity. The value does not depend on the order of the addends, and multiple terms can be grouped in any way without changing the result. In expressions, the Additionssumme is simply the value obtained after evaluating the addition.

In educational contexts, the term is used to help students focus on the outcome of addition rather than the step-by-step process. It appears in worksheets, word problems, and explanations of how to combine several numbers to reach a total. While widely understood in didactic settings, the concept is usually described with established terms such as Summe der Addenden or Summe, with Additionssumme serving as a descriptive synonym.

See also: Addition, Sum (mathematics), Addend.