Akribeia is a very big word that means being very careful and accurate. It's like when you draw a picture and you try really hard to stay inside the lines and make all the things look just right.
When people talk about akribeia, they are usually talking about being very precise and making sure everything is exactly how it should be. It's like when you measure how much flour you need to make cookies, you have to be in akribeia to make sure you get the right amount to make them taste yummy.
People who are very good at akribeia can use it in all sorts of things, like building things or doing math problems. It's important to be careful and get things right so that we can do the best job we can!