

That, plus two times x, and then finally this Width is gonna be two times x, and we can just add What's the area going to be here? Well the height is two and the width is x, so multiply height times The area of this yellow region, and then we can move on Over here, that's the area of this purple region, plus We're summing up the area of the entire thing, Height as right over here, its height is x and its width is three, so it's gonna be x times three, or 3x. What's the area of this yellow rectangle? Well it's height is x, same Purple rectangle right over here? Well the purple rectangle, its height is x and its width is x, so Well to do that, we canīreak down the larger area into the areas of each of


So just like that, I'veĮxpressed the area of the entire rectangle, and it's Two, and what's the width? Well the width is, we goįrom there to there is x, and then from there to there is three, so the entire width is x plus three. We see that that distance is x, and then from here to here it's two, so the entire height right over here, the entire height right over The height of this larger rectangle from here to here, Then I wanna express it as a trinomial, so let's The first way I wannaĮxpress it as the product of two binomials and Rectangles, and what I wanna do is I wanna express theĪrea of this larger rectangle and I wanna do it two ways. But you'll get through it :)īig rectangle here that's divided into four smaller Math is fun, but it can get REALLY annoying sometimes, especially when you're trying to learn this thing, and the thing makes no sense, and the thing is stupid an you're like "I DON'T WANT TO LEARN THIS THING." I've been there. If you don't want to stick with it, and just want some simple math awesomeness, there's a youtuber I really like, ViHart, that explains some really fun mathematical concepts without using numbers! If you're interested, I highly recommend checking it out.Īnyway, that answer was really cheesy, and you've probably heard it a million times already, but yeah. As Galileo said, "The universe is a book, and math is the language it's written in." Now admittedly, the math you're learning right now is kind of boring, but if you stick with it, you'll be able to learn some really cool concepts! Every tree, flower, bookcase, speck of dust, it has math woven into it's being. Calculations are boring :P) Everything around you. Math helps you understand the world! This is why I really like math (note: I like math as a concept. Even just going to the grocery store and shopping smart takes basic arithmetic (and basic algebra if you want to be meticulously thorough). When you become an adult, you'll have to manage money. Math is good for your brain! It makes you smarter ( insert sarcasm: wow really? I didn't know that), and improves your problem solving abilities. I had to use google to get some adequate answers: Was already in the order that we needed it to be, but it's good that we checked on that.That's an interesting question. And so we would expect this expression to be close to 4000, and indeed, that's what this choice is. So five times 800, that would be around, that would be 4000. 5.2, well let's just say that's roughly 5. And so I'm already feeling good that this last choice sits down here. And so this should be about half of 800, so it should be around 400. Roughly equal to 1/2, and so, and 762, weĬould say hey, you know, that's, if we wanna be really rough, really, really approximate it, we could say, hey, it's roughly 800. Roughly equal to 50/100, roughly equal to 5/10, Now the second expression, 0.52 times 762. And so which of these is close to 38? Well this first one is 39.624, so that's actually the closest to 38. And so this first expression, this first product shouldīe roughly half of 76. It is 0.52, that's close to 50/100, that's close to a half, and so 76.2, that's close to 76. So this first expression, 0.52 times 76.2, the way I think about And then we can estimate what these expressions should be equal to, what the products should be equal to, to think about the decimal. These have the digits three, nine, six, two, four, in that order. The digits three, nine, six, two, four, in that order. Is, we can say, hey look, the answer is going to have Might have realized is all of these expressionsĭeal with the same digits as 52 times 762.

And these products, this is an exercise on Khan Academy, you can move them around so the product can be matched Told to match each expression to its product. That 52 times 762 is equal to 39,624, and then we're
