Okay kiddo, have you ever had to do a big math problem, but you didn't have enough time or resources to get the exact answer? Well, sometimes, even grown-ups have to solve math problems like that too. That's where approximation algorithms come in.
An approximation algorithm is like a shortcut for solving complicated math problems. It won't give you the exact answer, but it will give you a really good guess or estimate that's pretty close.
Think of it like trying to count a whole bunch of candies in a jar. You could try to count them all by hand, but that might take a really long time. Instead, you could take a few handfuls of candies and count those, then use that information to make a good guess at how many candies are in the whole jar. That's kind of like what an approximation algorithm does - it takes a smaller problem and uses it to make an educated guess at the solution to the bigger problem.
People use approximation algorithms in all kinds of fields, like computer science, finance, and even science! It's a really handy tool to have when you don't have the time or resources to find the exact answer, but you still need to come up with a good guess.