ELI5: Explain Like I'm 5

Identity element

Have you ever tried adding 0 to any number? What happened? It remained the same, right? That's because 0 is what we call an identity element. When we add any number to 0, the result is always that same number. It's like having a magic number that doesn't change anything.

An identity element is a number that, when combined with any other number using an operation like addition or multiplication, doesn't change that other number. It's like adding 0 to something or multiplying something by 1 - the result doesn't change.

Let's take multiplication as an example. The identity element for multiplication is 1. When we multiply any number by 1, the result is always that same number. For example, 7 x 1 = 7. No matter what number we multiply by 1, the outcome is always the original number.

Identity elements are important because they help us understand how operations work and how different numbers interact with each other. It's like having a secret code that helps us solve puzzles with numbers!