- #1

musicgold

- 304

- 19

- Homework Statement
- This is not a homework problem. I am trying to understand why a mathematical operation need to have an identity property to be an useful operator.

- Relevant Equations
- 1. I see that we often highlight that 0 is the identity property of addition / subtraction and 1 is the identity property of multiplication and division? Why do we care so much about the identity property?

2. Are there some essential properties an operation has to have to be a successful / widely used operation?

3. Does the modulo operation have an identity property?

I am reading a lot of stuff on advanced algebra and running into these questions.

Thank you

Thank you