There are more than a math term that use "order". They are:
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The way things are done, like order of operations.
Or the position objects are in, like the order of the students with so and so first, etc.
What does length mean in math
median means to find the middle number of a sequence which is in order
The "product" of two numbers is the answer you get when you multiplyone of them by the other one, in either order.
Communitive means of, or belonging to, a community. It has no meaning in math. Communative does not mean anything - in math or elsewhere.
What does > mean?