Complex numbers help us understand math all the better. They change how we think about numbers and how we write them down.

1. How They're Written: A complex number looks like this: $a + bi$. Here, $a$ and $b$ are regular numbers, and $i$ stands for the imaginary unit. In this case, $a$ is called the real part, and $b$ is known as the imaginary part.

2. How We Show Them: Think of the complex plane like a graph. The x-axis shows the real part ($a$), while the y-axis shows the imaginary part ($b$). This way of showing them helps us see how complex numbers work together, not just when solving problems.

3. Understanding More: When we solve equations like $x^2 + 1 = 0$, we find solutions like $x = i$ or $x = -i$. This might sound strange, but these ideas are important in real-life fields like engineering and physics. Exploring the complex plane can be really exciting!