◀ ▲ ▶Branches / Number-systems-arithmetics / Proposition: Addition Of Real Numbers Is Associative

Proposition: Addition Of Real Numbers Is Associative

Addition of real numbers is associative, i.e. the law \[(x+y)+z=x+(y+z)\] is valid for all \(x,y,z\in\mathbb R\).

Applying this law repeatedly, we can conclude that the sum does not depend of the order, in which we add real numbers.

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2 3 4 5 6 7 8 9

Thank you to the contributors under CC BY-SA 4.0!

Github:

References

Bibliography

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983
2. Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013