Okay kiddo, imagine you have two strings of colorful beads. Let's call one string "A" and the other string "B". The zig-zag product is a way of combining the two strings in a special way.
First, you take the first bead from string A and the first bead from string B and put them together. Then, you take the second bead from string A and the first bead from string B and put them together. You keep doing this, alternating between taking a bead from string A and a bead from string B, until you have made a new string that is a combination of both.
Here's an example:
String A: "red, green, blue"
String B: "yellow, purple"
The zig-zag product would be: "red, yellow, green, purple, blue".
See how we took the first bead from string A (red) and the first bead from string B (yellow) and put them together? Then we took the second bead from string A (green) and the first bead from string B (purple) and put them together. Finally, we took the last bead from string A (blue) and didn't have any more beads from string B to add, so we just ended the new string with blue.
I hope that helps you understand what the zig-zag product is, kiddo!