 So one of the things that Python has available to it is this thing known as modules basically this is one of the attractive things about Python is the fact that so much of it has already been sort of pre-built for us and one of the things you can think about is you know Why reinvent the wheel since these things are already available to us? And so you can see we have a whole slew of these built-in Functions at our disposal. We've already started to mess around with these You know the string the end the float the print in the input options, but let's say for example this guy that first one Why not tackle the first one? Well ABS ABS if we kind of came in here, and we took a look at what ABS stood for You see that it's gonna give me the absolute value of an argument So something like negative four in this case will give me a positive four. Why is this important? You might remember we talked about something known as epsilon a very small number that we used in approximation So okay now we have epsilon and you might remember some of the things that I can do. Maybe I do x equals one minus zero point one minus zero point one minus zero point one Now I should get zero point five. That's logically kind of what I should be seeing But I get that zero point seven zero point seven is what I should logically be getting but as you can see I'm getting sort of this this trailing effect of Zeroes until I get a rounding off error And this is where approximation came into play what I'd be able to do is I could say oh well if I do x Minus what I was expecting zero point seven As long as that is less than my epsilon Then I get a true statement But we run into a slight Problem if you will because what happens if instead of zero point seven or x minus zero point seven I said something like zero point two zero point two is You know not really approximately zero point seven. However, based on the logic that I've applied That still follows the true kind of mentality. So how do I fix this? That's where ABS comes into play You see the reason why this works is because if we do take a look at that zero point two minus zero point seven Seven as we can see that is still kind of less than epsilon So the problem is we have to fix this in that case again ABS comes into play and come in I can say ABS As long as it's now the absolute value of this math equation is less than epsilon In this case, I'll get a false But if I come in and change this My x which is the rounding out error. I should get a true