Up | Japanese Laws of commutativity and associativity  


As for the addition, the following relation called the law of commutativity holds.



Let's see the reason why this relation holds.



In this way, the process of getting 3+5 shifts to the process of getting 5+3.
Thus, 3+5 = 5+3.

As for the addition, the following relation called the law of associativity also holds.