 Hi everyone, this is Chih-chou. Welcome to my channel and welcome to another live stream. And just a heads up before we get started. It is stormy here. It's very windy. So we might lose power. If we end up losing power, we end up losing the stream. I'll try to set one up again for the weekend, a math stream for the weekend. Aside from that, fingers crossed, we stay hooked up. And today is a drop in math tutoring session. It's the 8th one we've been doing for this school year anyway. And it's basically an open discussion, mathematics. If you have questions regarding high school math, if I can help you out, I'm here to help you out. I'm just popping out the chat, so I see what's going on. And we're just going to do, you know, wait until people show up to the stream, if they have any questions or whatnot. And it is an open discussion. If people don't want to talk about mathematics, we can talk about almost anything related to education. What politics and stuff we're going to leave until the politics streams. As far as Julian Assange is concerned, I think that's an open discussion at any time. Just because how important it is. But mathematics, first and foremost, it usually takes a few minutes for people to pop in. Tea. Always have some drinks with you when you're doing math. Snacks are good too. Nice, delicious snacks. Little mandarins. How are you doing? Can we do math of growing? One of the first things that I set to do that I announced that I would do for the math content that we've been creating is the mathematics of prohibition. I announced that I think back in 2009 or 2010, when I formed 420 Math, put that together. At some point we will. We have Thanksgiving tomorrow. So excited. Oh yeah, you guys have Thanksgiving tomorrow. That's right. In Canada, we had it earlier. We had it, I forget what the date is, like three weeks ago. Touching Jason. How are you doing? Hello, hello, everyone as well. Dante, how are you doing brother? How's life? Now we have no more prohibition. In Canada, no. In Canada, legalization has its own problems, for sure. Quality control, prices have gone up. Not enough product available for a lot of people that are using medicinal marijuana, medicinal cannabis. I'm going to talk up right now before I stuff my face so the turkey tastes even better. Do you guys have your turkey dinner tonight? Or tomorrow night? Thanksgiving, isn't it tomorrow night? You guys have turkey? And then the next day is like insane day. Tenpo, how are you doing? Welcome to another live stream. You're here for a good stream. Mathematics, dinner tomorrow. Cool, cool, cool. And Friday too. And Saturday. And Sunday leftover. I ate a pomegranate for the first time ever this week. Had to watch one of your videos on how to eat them. My kitchen looks like a murder scene with all the juices splattered everywhere. That's what pomegranates do. Hopefully you didn't get it on your clothes. They stain. They stain the clothes. Pomegranate juice stains. The best way, twitching Jason, the best way to do pomegranates, what you can do is take a rag when you're cutting the pomegranates in half and don't cut them where it's hanging and where the fluff is. Cut it sideways as if you would cut sideways. But put a napkin on top of it or a piece of rag and then cut it. And then turn the pomegranates upside down, the open part down into a bowl and preferably in the sink. And grab a wooden spoon or a metal spoon and just go... And then the seeds start popping out. We do have a video on that. But yeah, if you go at it like crazy, it's like... everywhere. I made purchase a MacBook this week. Yeah, I personally, I'm staying away from Apple products. I've stayed away from Apple products for 30 years or something. I find them to have too short term of a planned obsolescence and with their upgrades, you have to upgrade the hardware as well and their overpriced and stuff. That being said, one of the first computers we had, the home computers we had, was an Apple II at our house. Lonely Piggy, hello chichou and chap. Glad to have made it to a math stream. I have the entrance exam for the RCMP book in two weeks. Cool. And doing some practice of realize just how rusty I am with my mathematics, especially averages with decimal numbers and such. Any tips? Like taking averages and stuff? Averages is just you add them all up and divide by the number of items you had, right? So, you know, the average of something. Are you supposed to do it all by hand, by the way? Or are you guys using a calculator? I did that. It wasn't so much the cutting that splattered, but the tapping with the wooden spoon. I think next time I'll do it in the sink. Yeah, in the sink is ideal, right? One of the reasons I did it with the video is all, no actually I think we did them in the sink too. That was probably my only mistake. The effort was totally worth it though. I'm addicted. Yeah, they're so good. I'm waiting for the major batch to come in so I can load up on it. It's too expensive right now where we are. They're like three bucks a pop. That's too expensive. No calculators allowed, which is why I've come to realize that my basic math... Oh, no calculators allowed. Okay, let's do... Like what type of numbers you're talking about on the piggy? Like here, 7.8, 9.2, 11.5, 4.25, 5.01, and let's go 0.03. Like numbers like this? Is that what we're talking about? Let's find a darker pen. It comes out a little bit better. Like these types of numbers are the bigger. If they're bigger, it doesn't really make a difference, right? All you have to do, yeah, similar numbers to that. Sometimes it's big numbers. It seems to be an equal mix. Okay, so let's do one of these. Now, when it comes to adding decimals, here, we'll do... I mean, I doubt it if you're going to get crazy numbers. Like you're not going to get 9.2005, I doubt it. But if you do, all you have to do is line everything up based on the decimal, right? So for example, when you put... Let's do this one first. So 7.8. And if you're taking the averages, you have to add them all up, right? So all the numbers, you're going to line up based on where the decimal is. So this is 9.2005, right? And give yourself plenty of space between the numbers. Don't crunch things up, right? Good evening, Chichou. Good evening. Good evening. How are you doing? And 11 would be 11.5. 4 would be 4.25, 5.01, and then 0.03, right? And then you add them all up accordingly. So the way I line this up sucks, by the way, just to let you know. Look at this one. They're lining up with the second number. So I want to move these guys over. I'm going to move them over so they're a little bit better, right? Placement is really important. And that was a 5.25, right? That way, visually, they line up for you. What is the mode, Chichou? What is the mode? Mode is the number that appears the most in a data set, okay? So we wouldn't have a mode here, because all the numbers are different. But if you add a number, let's say you add a number set like this. 2, 5, 7, 8, 2, 6, 0, 5, 0, 5, 7, 4. The mode for this would be the number that appears the most. So how many numbers do we have? We've got 1, 2, 3, 4. 4 times 3. We've got 12 numbers. The number 5 appears 3 times. The number 2 appears twice. The number 7 appears twice. The number 0 appears twice. All the other numbers appear once. So the mode of this thing would be 5. 5 is the number that appears the most. And mode is statistics, right? Something you use in statistics. So for these ones, you just add them up, right? So this one doesn't have any other numbers. If you want to make sure your eye is placed correctly, there. You can put them all in columns. Any numbers to the right of the decimal, as long as they're the last number, you can add as many zeros as you want. So instead of having blanks, you can have zeros to line up. So this one is going to be 5. This one is 0. This one is 5, 1, 6, 9. This one is 10, 15, 17. And you carry the 1 over, right? So if you go above any 10s, they go up to the next number. And then you've got 8, 17. Actually, I usually do it like this. I group them together. 9 and 1 is 10. 4 and 5 is 9. Plus 1 is another 10. So that's 20 plus 7 is 27. 7 and you put the 2 up top. And these ones, 2 plus 1 is 3. So all of these numbers added up is 37.7905. And if you want to find the average, what you've got to do is divide it by the total number of numbers you had, which is 6. So we're going to do long division on this. So let's do long division on this. Let's erase a little bit here. Here, I'm just going to erase the addition part. And if you need me to pause, if you want to take notes or whatever, let me know. Maybe hopefully I'll catch it. If not, you can just pause the video or on the re-watch. Pause the video and just take a snapshot, right? So 37.7905, right? So 37.7905. And we want to divide this by 6, right? So if you're going to divide it, you could present it like this. 6, right? But that's if we're dealing with it with other numbers or whatnot. If we're going to do long division, you draw this guy, okay? And what you usually end up doing, or what I usually end up doing is, I move the decimal place over so it doesn't exist, right? So I put the 6 here. And I'm going to move the decimal place over four times. 1, 2, 3, 4. So I don't want to deal with decimals in the core number here, right? So we moved over 1, 2, 3, 4. That means we really multiplied it by 10,000. So we're going to add four zeros to this because the decimal place is here. So we're going to go 1, 2, 3, 4. 1, 2, 3, or sorry, 1,000, right? 1,000? 10,000, right? So we moved our decimal place. Now you're going to ask yourself, what do you multiply 60,000 by? This is 300,000 so we can do it into this. What do you multiply 60,000 by to give you 37,790, right? It's not even. So basically 6 into 37. How many 6s are there in 37? Six of them, right? 6 times 6 is 36. So you're going to put the 6. 1, 2, 1, 2, 3, 4, 5. 1, 2, 3, 4, 5. You're going to put it up here. And then the 6 multiplies this, which is 36,000. And you subtract this from this. So if you subtract this from this, 0 from 0, 0, 9, 7, 1. We've got 1,790 left. Now 60,000 doesn't go into that. So what you can do is bring the 5 down, right? What do you multiply? Did we move it over? It was 37. Did I mess it up somewhere? I'm thinking I messed it up somewhere, but I don't think I did, right? And then you ask yourself, what do you multiply this to give you this? Wait a second. What was the original number? 37, right? 37, 6. There should be a decimal coming up. Hold on a second. 2, 2, right? So we're going to go, hold on, this was 37.7905. We went 1, 2, 3, 1, 2, 3, 4, right? Yeah, we did 4. That's right. So we're going to do 2 here, which is really wacko because it shouldn't be. There should be a decimal right here, right? There should be 6.2. Oh, because I missed a 0. Check this out. Knock at this. Don't make this mistake. Did you catch it? Did you guys catch it? How many zeros do we have here? 1, 2, 3, 4. I only put 3 here. Bad, bad, bad. There should be a 0 there, right? So this guy is really on top of this. Okay. Bad mistake. The reason I knew it was a mistake. Nice. I'm not sure you found it. The reason I knew it was a mistake, because the original number was 37.7905. And if we're going to divide it by 6, 6 goes into 37 6 times. So the next number has to be a decimal, right? It should be in the decimal part of it. Okay. That's what happens when you look away from the page when you're doing mathematics. Actually, your question, by the way, lonely petty. If I have any advice, when you're doing a problem, don't look away too much. Because when you look away, you might forget to put down a 0. You might forget a decimal place, right? So whenever you're doing mathematics, it's really important to keep focused on the problem. Do the problem. Once you're finished with the problem, then relax your shoulders and look up. And then attack the next problem, right? When you're doing a problem, don't push yourself to a level where you've been really tight for like 6 or 7 problems and you're getting fidgety and you have to look away during a problem and then in the middle of it, then come back to it, right? Unfortunately for me, what I'm doing this, because I'm looking this way and looking this way, sometimes I forget stuff, right? So there should be a 0 here. There should be a 5 here as well, right? Okay. Now, you look at this thing, note it. But no promises because this is stressing me out quite a bit. Plus the exam is timed. So there's also that. The thought of taking too long on a problem and whatnot. Okay. Yeah, I personally don't like the timed stuff, but I can see why they're timed. And then if your job requires, there's a time factor to be a police officer. Evening, Chicho. So basically what we do now is we ask ourselves how many times a 60,000 going to 17,000? It doesn't, right? Once you reach this level where this number doesn't go into this, what you end up doing is you put a decimal place here. And I usually put a decimal here too. Because what that means, as soon as you add the decimal, you could start adding zeros and bring down zeros. I was a mix. MCK Silva changed my name. Okay, nice. Hopefully it was a good reason you changed it, right? So as soon as you add a decimal, you can add a zero here and bring a zero down. Right? Now you ask yourself how many times the 60,000 going to 179,000? If this was 180,000, it'd be three times. We're done, right? But it goes in there twice, as Anouche said, right? So we put a two up here. Two multiplies that. That becomes 000012, right? So 000012. And you subtract these guys. 05095, right? Look at this. So close, but no cigar. Right? 60,000, 50,000, and 50. So this doesn't go into this. So we can add another zero and bring this guy down. You ask yourself, how many times does this go into that? If it was 60,000 originally, it would have been one, which is 10. So we know it's going to be a nine. Nine times six is 54, right? So you put a nine here. So it becomes 000054. 000054. 00505. Okay. Have you ever eaten jug fish? I don't think so. How many times does... And you don't care about these numbers here. You care about this guy. You ask yourself, basically, how many times does six go into well, it can't be into 50,000, right? 60,000, it doesn't. So you grab another zero from here. Add a zero. Now take a look at this. This is four digits. This is four digits. So you can sort of avoid those. You don't care. So you ask yourself, how many times does six go into 50? Okay. And that's eight times. Mathematics stream. The most beautiful universal language. Love this. Awesome. So you're going to put an eight here. So you're going to go 0000 because eight times 0000, right? 0000. Eight times six is 48. Eight. So this is 00006. You can't take six away from five. So you've got to come to this guy. You can't borrow anything from this. So you borrow from this. This becomes a four. Okay. This becomes a 10. Now you can borrow one from this. That becomes a nine and that becomes 15. Six from 15 is nine. Eight from nine is one, right? Now, right now, we had four decimal places in this one, right? We've got our solution to eight to three decimal places. If you're doing stats, you would only take this down to two decimal or one decimal place, right? Because that would be two sick figs. Okay. I'm assuming they'd be satisfied with that answer. But if they want more, you just add another zero, bring it down, and then you ask yourself how many times, there's the four you can knock off. There's the four you can knock off. So you ask yourself how many times is six going to nine and, sorry, 19? It's three times. So you put a three here. All right. So the average of these guys, average, would be 6.2983. Sorry about the mistake earlier, but it does, you know, emphasize, stay focused on the question. Stay focused on the question. I think you can do this problem in another way. First, divide that by six and then divide the answer. Yeah. Yeah, you could do that as well, I think. Nice. Right? You could go six into 37, six. So just start off. Forget about the zeros and just work your way down here. And then divide the original by, as Anuj says, that's a big number though. I don't think you divide it by that many. You divide it by 10,000, not 10 million. Right? The exam is entirely multiple choice, which I guess is a bit better. It could be a bit better. It depends on the multiple choice. I'm a pretty visual guy myself, so I like to write down what I'm working with. So this definitely helps. Cool. And by the way, Lonely Piggy, just because the exam is multiple choice, it doesn't mean you're not supposed to do any work. They should have a scrap piece of paper besides your lots of space between questions where you can do your work. Yeah, it was 30, I forget what it was. It was 37.7905. Yeah. Yeah, that's what it was. So you don't divide it by, what is that? That's 100 million. Right? That'd be too big. Yeah. And by the way, Lonely Piggy, with multiple choice exams, here's one trick. Okay. Go through it. Right? Any questions you don't know, just circle them. For example, if these are the questions. One, actually, I won't circle it because you want to circle it to know. So you've got question one, two, three, four, five, et cetera. Right? Let's say you're doing this. You've got question one. You've got question two. Question three, you're not 100% sure. Move on. Just circle it. So on the scan back, you know which ones you haven't answered yet. Right? And it might be a scantron. If it's a scantron, be really careful transferring your answers to the scantron. Right? Don't transfer your answers if you've got any gaps in there yet. Right? So let's assume you didn't know what the answer was, question three. You did question four. You didn't know what the answer was for question five. Let's say you continue to do this and there's like 50 questions. Right? Let's say in the 50 questions, you have five questions that you didn't know the answer for. I moved the decimal, what I did was move the decimal place. So if it was here, I moved it there because I don't like dealing with the decimal place in the division itself. Does that make sense? Right? So you're right. We could have just not dealt with the decimal place. Put 10,000 on the side. That's four decimal places. And then whatever we got as the answer, which would have been here, it would have been 6, 2, 9, 8, 3. And then divided that answer by 10,000 would have put us there. Right? So just to go back here to answer and do multiple choice, you do all 50 questions. You have five questions you don't know the answer for. You go back to them, you still don't know the answer for. If you're going to guess on them, guess the letter that appears the most and all the other ones you answered. So in all the other questions you've answered, which is there's 45 questions that you've answered, right? If B is the one that appears the most, answer the five B. Okay? I plan on doing just that actually. Just need to work smoothly enough to have time to come back to a question. I could not complete right away. I could not complete right away. Because once the timer ends, the exam blocks. Oh, it's on the computer. It's on the computer. What about zeros? Well, it wasn't 60,000. This was, we were dividing, let's do this. We were dividing 37.7905 by 6, right? On a computer, harder on a computer, harder on a computer. So if you're doing that, what you could do is go 6. And then 37.7905, do this division. And then whatever you got here, divide it by 10,000. Which basically means move the decimal place over four places this way. Right? And if we did this division, it would have been the same thing. It would have been 6, 2, 9, 8, 3. And then divide by 10,000, which means take the decimal place and go 1, 2, 3, 4. 6.298, right? Sometimes these simple things are the ones where people make the most mistakes, right? Like, I made a mistake. I forgot a zero. Disaster really, right? If you didn't know what was going on. If you didn't have an idea of what the numbers are supposed to be. And then do you guys have graphs as well? Are you guys going to be graphing things and stuff? Or trigonometry? They might have some Sokotoa stuff. I think my board needs a new wash. I passed a multiple choice mathematics exam by 2%. I had three questions I didn't know. So I wrote down the choices, scrapled up a bit of paper, closed my eyes and dropped it. Whichever it landed closer to I picked. I still often wonder whether that actually helped. But I'd like to think it did. That's funny. I don't think so. The math goes up to high school 3, essentially from what I said. So I wonder, so you wouldn't have any graphs. High school 3 would be, is that like grade 10 mathematics? That's as high as they're going to go. If it's grade 10, you might have graphs. But you should have some kind of sample test that they're going to give you, yeah? I hope so. Is this third grade? No, I don't think so. I think maybe it's third year in high school. High school 3. It used to drive me insane seeing people finish early and close their papers. I just want to scream at them to use their time to double check. Possibly. Sometimes, like at university and stuff, and even high school, what happens is you might have multiple tests in a day, right? So if you have multiple tests in a day, you might want to, if you're finished, if you're confident enough with it, you might want to leave early and go prep for your next test, right? But yeah, I agree. If you have the time, check your answers. It's worthwhile. It's worthwhile. Some people are just quick. Yeah. Yeah. If you know your material, you could do it fast, really. But if it's a really important exam, you know, take your time. Take your time. It doesn't hurt. Just consider it to be more practice. Third year in high school, yeah. So that would be grade 10 mathematics. And you will have some kind of graphs as well. Check your exam. Sorry. Being in Quebec, our high school levels go by different names in French. Oh, wow, okay. I learned this when I was in third grade in India, which means I was 9 at that time. Yeah. And this stuff is, the long division is in Canada, they teach it in grade 7, grade 6, I think. Most kids, when they come into high school, they don't know how to do long division. I have to teach it to them. Even kids in grade 11 and 12 and 10, most kids that I work with, most students that I've had in high school, most of them don't know how to do long division. They've forgotten it because they use a calculator. Yeah. Well, these were eight levels in the UK. So you can't leave until the hour is finished. So I always saw it useful to use as much time as possible. Yeah. The math in the test will go up to third year high school, high school level essentially. Okay. Grade 7 division? I think so. I think we do, I forget when they teach it. I think it's grade 6, it's long division. Maybe grade 5, I don't know. I don't think it's grade 5. I think it's either grade 6 or grade 7. I wish I wasn't kidding. Dude, for what reason, Anuj? You guys have no idea what we had in 10th grade integration in differential mathematics. Yeah. Anuj, in Iran as well, like you could do, some schools were introduced calculus in grade 8. It's like grade 8, you're doing calculus. And this is like four decades ago. I have the practice exam in front of me right now. Most of the math related questions I've had trouble with because of a serious lack of practice after high school I've been out of that place for five years now. So it feels like ages ago and I've forgotten a lot of the basics. Yeah. And Lonely Piggy, welcome to Mathematics. Tang Bo, thank you for the bits. Thank you for the bits. You're just sitting there quietly watching everything. Less pressure on students than can a good thing. Anuj, I wouldn't say less pressure. Different type of pressure. Different type of pressure. Academically there's less material covered. There's no doubt about it. High school here is horrendous. It really is. Elementary school is just pure, in general, pure garbage. And high school is in general pure garbage. What they're teaching you is so dumbed down it's ridiculous. So on an academic front, it's easier compared to other parts of the world. Some other parts of the world. However, the societal, social pressures on people here are extremely heavy. Extremely heavy. Really. People don't appreciate how much pressure kids are in. I can't speak for Europe, but I can speak for Canada and the United States. It's unbelievable. It breaks a lot of people. And the people that break, it has nothing to do with how well they're doing, how well they understand the content or not. I've seen kids that have very poor academic background really struggle socially and just the whole bureaucracy and the centralization of education system. And I've seen kids that they do better than me in the exams or they would because they're way more focused sometimes. And I've seen the school system break them as well. So it's a different piece. It's a different game. Both require a certain amount of resilience. Common core math is bad. Voyager, I have yet in Canada and the United States see a centralized education program being passed down through the centralized education system, which has improved the education overall. Every decade is getting worse and worse. Every five years is getting worse and worse. Wow, I had no idea about that. Yeah, Anuj, the social pressures here are unbelievable for kids. I tell most of my students, you can pay me enough to go back into the school system. No, thank you. I'm not into that. I can speak for Europe pretty much the same. Is it all of? Okay. Yeah, the pressures in the Western world on kids is wow. And the reasons for it are multifaceted. There's multiple reasons for it. Anuj, just imagine this. You've been going to a centralized education from grade 1 all the way to grade 12 and you graduate high school with barely being able to read and write and barely being able to do mathematics. Just imagine how lost you will be. Just imagine how much pressure you're under, right? Because there's a whole stigma attached here about you must, I'm pretty sure it's most places in the world, but you must succeed. You must make money. You must be able to buy these expensive things and all this jazz. But they've gone to 12 years of school under the assumption that when they finish high school, they're going to be ready for life and they're not. And the weight of the world just comes crashing down on them. The serious problems. Norway, yeah. If you want to learn math, you have to understand the basics first. That's why a lot of people struggle. Voyager agreed 100% and that's the reason that I say that the elementary school education grade 1 to 7 in Canada, specifically in the United States, is just pure garbage. Pure garbage. I have, I work with students. I've gone as young as elementary school. I've had elementary school students that I work with, right? We cover their material within a couple of weeks. We're done. And I start teaching them high school and try to get them ready for high school and beyond, right? I have students that I start working with at the beginning of high school and a lot of them don't even know how to add negative numbers. Really, it's unbelievable. They have no idea how to deal with fractions, most of them. That's, they're starting off way behind. That's a serious struggle, right? And they think they're stupid, they're dumb. First order of business for me, just to let you know, first order of business for me when I work with students is to explain to them that mathematics is not hard and they are not stupid. Those are the ones that are trying to improve their marks. They're not stupid. I try to build up their self-confidence. And then they open up a little bit and once they realize that they have the ability to do mathematics, they learn much faster, right? Really, my first certain amount of social work that's involved with teaching, huge. It was rough here in England. I was luckily in the final year where high-level mathematics got an upgrade, essentially making it harder, for instance. I got my grade by 2%, whereas if I was in the year below after the change, I would have missed my mark by 15%. The pressure was enough. I can only imagine what it's like now for them. One thing, by the way, here's the thing, Mike or Mick. The reason the centralized education system is so flawed, it doesn't work, is because when they change a program, they say, okay, for grade 10, we're introducing these things. The problem is, the previous year, they didn't prepare them for what's being introduced, so these kids come into this year, or grade 8, or grade 9, or whatever the grade is, not being prepared, not having the prerequisites to learn this material, and they fall apart. It's very weird. There's a question, still keeping in mind that this is all multiple choice. Okay, let's do one lonely piggy. Where we are asked for the percentage between numbers. Cool. Example. From this practice exam, we're given a board with years and numbers of money. Plus kids are already diagnosed with age. Yeah, it's pharmaceuticals play a huge part in education, which is insane. So let's check this out. We're given a board with years and numbers of dollars gathered in that year. Say 1999 is 7,500, so I'm just going to transfer these numbers over. 1999, 7,500 dollars. This is dollars, this is years. Here, let's do this. We'll do it officially math way, I guess. Let's erase this. Let's create a table. This is your X, this is your Y, and this is dollars. Oh, is this not a table format? Oh, it's not a table format. And 22,500 dollars. The question asked us, I thought you were going to give me a list of tables, so it was going to be 2,000 is 8,500. Okay, that's not the one. So we're going to do what you wrote down. I shouldn't jump ahead. So 1999 was 7,500. And this is one thing you should do. Here, don't do as I do, do as I say. Whenever you're reading a math problem, read the whole problem first. And then when you're transferring the data over to a piece of paper, let's get this focused, when you're transferring the data over to a piece of paper, and then on the second read, transfer the stuff over. Again, you're on a time crunch, so see how it works. Say 1999 is 7,500 dollars, Canadian, $22,500 USD. The question asked us to find what percentage given is right for the Canadian dollar gathered that year between... I don't understand the question. I know for a fact that it's pretty simple, but man, I'm rusty. So how come there are different currencies? Number of dollars gathered in that year. Say 1999 is 7,500 dollars Canadian. Oh, so that's how much you made, I guess, okay. The question asked us to find what percentage given is right for the Canadian dollars gathered that year. So you've got to do a conversion from Canadian. Inkblot, it's not because that's Canadian dollars, that's US dollars. So what they're doing is doing this. Tricky questions, right? So 1999, I'm assuming this is the question. So you've got 7,500 dollars Canadian. That's the Canadian symbol. C-N-D, C-N-D, C-N-D. And $22,500 USD, right? And they want to find out what percent is this out of 22,500? Read every question full twice before you start, don't they? That's good advice. He's on a time crunch, though. So at least once, read it once, transfer over the data and read it again. Or read it once and then on the second read transfer of data and read it again. The question is not complete, I think. Yeah, I don't understand that question. I think this is the question that's being asked. It's asking you how much is 7,500 dollars out of the total amount of money you collected? I'm pretty sure that's the type of question it's asking. Keeping in mind from the exam that both currencies are worth... Oh, they're both worth the same. Pooper, scooper. If they're both worth the same, then it's easy. I thought what you had to do was this. Convert this to US dollars. US dollars, right? So right now, and let's say the question was this, right now the exchange rate is US dollars, 0.75 US dollars equals $1 Canadian. C and D, right? So what you would do is multiply this by 0.75 and that would give you how much this is worth in US dollars. And then you would add that to this and then take this and subtract it from the total. Or sorry, divide it by the total. Okay. Read the question twice. Before you start, my teacher kept telling me this. I kept not doing this. Yeah, why would they give you two different currencies than say they're the same? Yeah, that's the thing. Like really, for those of you that aren't in Canada, I really can't explain to you how horrendous the math education is here, right? The way they word the problems is ridiculous. It's more of an English test than a mathematics test because they throw in words to throw you off, right? It's a trick. Okay, damn. They're just trying to mess with your head at that point. One trick for mathematics is practice every day. Yeah, for sure. From the total between both currencies, which percentage from the ones I've listed is correct for the Canadian amount accumulated for that year? So that plus that, I guess. What's the exact wording of the question? I love trick questions. I don't like trick questions. So let's assume the question was this. It depends how they word it, right? But this would be the legitimate way. So we're going to take off Canadian and US. We're going to assume they're both the same currency, right? So you want to find out how much this, what percent of your total income, if you collected this and this, what percent of your total income was this, right? It could be, you know, job one, job two. Your first job and your second job. So what you would do, you would add these two guys. Zero, zero, zero, put the one up. Eight, ten, zero, one, and thirty. So you collected $30,000 total that year. And you want to find out what 7,500 was from 30,000. Then you go 7,500 divided by 30,000, okay? And if you want to do the long division for this, let's do the long division for this. Because we didn't have any, maybe that's why we loved it. Oh, you guys don't get any trick questions. Correct percent is between the multiple choices listed. So this is what you would do. So we want to do this long division. So let's do this long division. Now if you notice, this is 7,500 divided by 30,000. Now 30,000 doesn't go into this, right? You can create trick questions through mathematics itself. Problem solving is such. Yeah, agreed, Mick. But when they word it to fumble you, it's kind of shitty. Because then you're having to incorporate English and mathematics. Crazy. Eight to 100%. And some of the wording is wrong. It's really wrong. I always have trouble doing the bigger divisions. Give me a proof that one plus one is two. How many fingers am I holding up? Is that proof? It's an example. It's not proof. So how do you divide 30,000 into 7,500? It doesn't. So you go, okay, this goes into this zero times. If you want to think about it that way, right? So zero times, this is zero. And you got 7,500. You don't have to do this step. I'm just showing you what the process is, right? Now what you got to do is, you got the same thing. So it's not zero again, but what you can do is add your decimal place, right? As soon as you add your decimal place, you can add a zero here and bring a zero down. Now you ask yourself how many times is 30,000 going to 75,000? And it goes twice. So you put a two here. So that goes 60,000, right? Subtract this, 0,0,0,5,1. How many times does 30,000 go into 15,000? It doesn't. So you borrow zero. Because you're after a decimal place, you can borrow one zero at a time, right? How many times does 30,000 go into 150,000? Five times. So this becomes 0,0,0,0,15. Subtract, you get zero. So the answer is 25%, right? Because 0.25 is equal to bring it over two decimal places, 25%. So 25% of your income was from job A. If you have one apple, then get one more apple if you have two now. Unless you eat one. How small. But the fingers aren't identical. Identical. You didn't say identical. No one said identical, right? Are the ones identical? Maybe it's one red apple plus one brown apple. Or no, you don't want a brown apple. A green apple, right? Yeah, it's math, not creative writing. Yeah, 0.25. Don't eat apples. That's the moral of the story. Don't eat apples. Eat oranges. Eat oranges. Eat oranges. Do you guys have munchies? When you're doing math homework, eat munchies. It's good for you, right? You need sugar. You need protein to be able to function properly. The mind needs it. I want creative math. Amazon sucks, Amazon does suck. If you have the apple by hiding, then it is both. It exists and it doesn't exist. It's got schnordiger's apple. I can't remember. I was unable to pronounce his name correctly. Don't eat the brown apples. You'll get sick. I don't know if you'll get sick. When they're browning, they're basically a foreman thing. They're becoming alcoholic a little bit. There's a video I remember watching when I was a kid. I used to watch a lot of animal documentaries. Plant and animal documentaries. I saw a documentary where a herd of elephants was eating, I forget what type of fruit it was, that had formanted, that had fallen on the ground. They were eating it and they ate so much, they got drunk and they were getting tipsy and falling over. It was super funny. Awesome, thanks. That definitely helps me. Seeing the entire process, I'm not too worried about the numbers, but being on a timer and preferring writing things down as I work might make things more intense. Lonely piggy, here's a kicker. Take your time. If you know, let's say you only finished 75% of the exam. But if you know, you got that 75%, right? Who cares about the 25% if you needed 70% to get into the program? Do it right the first time you do it, through the first wave, right? Is that a Woodstock Brown asset reference? Is it? I have been behind in math all my life. Eraser 1x, all my life. Last school year, we had our finals in math. Till that time in my life, I was passing math class barely. Every year, I was so close to failing it, that my teacher had to pull the grade up so I could finish the year and not be expelled or held up. Last year, before finals, I went to a private teacher and studied with her for two months, three to four times a week. When the finals came, I got 12% which, oh no, which funny enough is exactly what you need in the path. 12%? You need 12% to pass? That's it? My biggest problem was, no matter how much I'd learned, I could not remember formulas or anything of that matter for more than a week. After a week, it's all gone for me. But on the other hand, I could remember scripts, I guess, for movies. I'm an actor, or I can easily remember anything about tech or text wise. Eraser, here's the one thing about mathematics. In mathematics, you're not memorizing formulas. That's like physics and chemistry and biology. When you're applying mathematics to a certain discipline. Personally, I'm not a fan of memorizing formulas. Some of the formulas I don't even know. As far as I'm concerned, the formulas should always be given to you. When you're learning mathematics, what you need to do is understand the process, understand the language. You don't memorize how to put a sentence together because mathematics is just a language. You don't memorize that whenever you're ending a sentence, you put a period at the end of the sentence. Maybe at the beginning, when you were learning how to read and write, you have to keep that in memory. But when you do it enough, you just know you've ended a point and the sentence. If you're breaking things up, you use commas. If you're quoting someone, you use quotation marks. So mathematics, what you have to think about it is it's just the syntax of a language. It's just a language you've come up with where logic, the rules, the axioms we've come up with to try to understand the world, such as 1 plus 1 equals 2, they work. And then you just build it from there. But that being said, some people are more wired towards the mathematics side. Some people are more wired towards the natural languages side. Appreciate what your strengths are. Try to increase what your weak eyes as weak and as wild, right? Don't know about that. I finished my chemistry extraction with mimosa, hostels earlier today in my kitchen. I don't know what that is. Tested a new method using lie and boy. I'm glad I had the correct equipment for protection. Came to the conclusion using lie is way more effective with significantly increased the danger. I don't know what that stuff is. You don't remember formulas. As Voyager says, you don't need to memorize formulas and mathematics. You just have to know the process, the syntax of the language. There was an incident at Woodstock where someone grabbed the mic and told people not to take the breath because people were having bad stress. Oh really? I didn't know that. There's amazing Woodstock documentary out there. It's like a four hour documentary or something. It's really good. At least we're not getting points off or wrong answers per se. Oh yeah, some multiple choice or like that. Just need to meet the required 3.2 out of 5 which is 64% for the entire exam. Grammar, vocabulary, syntax and mathematics counts for 60% of the exam. While another part is mostly psychological questions which counts for 40%. I'm not worried about the psychological questions personally because I'm an honest guy. Cool. That's good. My math teacher until 7th class was a type of teacher who went to my mother's work and told her that I would skip school for 3 weeks. You shouldn't skip school for 3 weeks, Booker. That's a long time. And then it turned out she messed up me and my classmate. Oh no! And we had four boys in class and she taught us and she taught us six years so I didn't have the best teacher to build my base. Oh no, that's not good. Oh, brown acid doesn't sound appealing. I must say, yeah. And yes, in Latvia you need only 12% to pass finals. No, you're kidding. 12%? How's that possible? Year you needed 5% to pass. It's crazy to know. What? College? Oh, finals in college. Last year you only needed 5% to pass? What? A hundred. I wish I lived there. No, Voyager. You don't wish to live some place where they're dumbing people down. And I don't know if that's the case. Maybe the questions are extremely hard. Right? So if you can get 12%, you're a genius. Right? But I don't wish to live somewhere where life is extremely easy. You don't grow thick skin. You don't appreciate the importance of life and friends and working hard. Just imagine living somewhere where everything's given to you. It's not a good life. It's not a good experience. I'd rather eat apples on the day of my last one. Oh, your last one. All I know about life is that it's used in soap and it burns. Thanks to Fight Club for that. Ah, it's Fight Club. I don't remember the live part, but Fight Club I've seen a few times. Mimosa hostels is the root bark from a dreamer preta plant used to extract N. N-dimethatryptamine. Oh, wow. The psychedelic DMT. Done it four times. Oh, Mick. Failed the first time, but now I'm getting better where I can experiment with everything else. Pretty interesting. Okay, Mick. Be careful. Well, that must be graded on a very heavy curve. Yeah, it must be graded on a very heavy curve. 12% of the curve must be or how would it be? Right? Maybe that's added with homework and other credits. Maybe a 5% to make the grade positive if everything else is perfect. But it sounds insane. And it could be, maybe the final is only worth 12% of the final mark. You know, homework was worth 20%. Each test was worth 10%. Midterm was worth, you know, 15%. The final is worth 12 maybe? I don't know. By the way, Chicho, that metal movie is either Norwegian nor Swedish. It's Finnish. Is it Finnish? IMDB said it was Norwegian. But it's about a Finnish band going to Norway, so it's okay. Is that what it was? Finnish. Did you watch the whole thing? It had subtitles and stuff. Right? I thought it was one of the funniest movies I've ever seen. Laugh out loud. Like busting a gut laughing. I would laugh so hard. I would read. My eyes were watery. I think it was some of the parts. And it was so funny. Finnish, Swedish, Norwegians. What's the difference? Oh, Amazon. Amazon. You got... Those are fighting words as far as all of is concerned. I... Scandinavian. It's like saying, is there a difference between Canadian and American? Yeah. Is there a difference between Southern Europeans? Yes. Is there a difference between the African countries? 100%. Right? A problem a lot of people have is they don't see use of math, but you use it everywhere and that is about problem-solving. A 100% manager. And that is the key. Mathematics is the language we use to problem-solve, to quantify the world where we can understand systems better and solve problems. Problem-solving on more than a rudimentary level requires mathematics. Like, without a doubt. Without a doubt. Like, just a simplest problem. Just imagine if you're making a car or some kind of wheeled vehicle where you need more than one wheel. Right? Problem-solving. You need to make both wheels or four wheels or three wheels the same size. How are you going to do that? Trial and error? That's not going to work. You need to do measurements. Well, thanks for the help, Chichu. Took down some notes and we'll do more practice before the exam day comes. Wish me luck. Good luck, Lonely Piggy. Good luck. I hope it goes well. Okay. And definitely if you've got more problems and stuff we can deal with it. But if it's basic mathematics, division, long division is one of the hardest ones. Right? You probably might have adding and subtracting fractions, multiplying fractions as well. Right? So if you do, let me know. I'll show you a trick for multiplying fractions to make your life easier. Yeah, I got some funny looks buying it. I must admit, I must have looked a bit suspicious. Cashier seeing a basket full of groceries and then a tub of lye. I was also like, watch it. I think it's fighting words with most Scandinavians, which is why I love saying it. Ah, you know this. I was on Sykes. You know it. We are Vikings, you know. There's just one test, 10 pages, two parts, three hours are given with everything that you have learned up until that point in your life. Basically, after you have learned for 12 years, everything is put in a single math test. You know what? If you're finishing doing math 12, finishing in math 12, you better know everything. All the math before that, almost all the math before that. There's some mathematics that you might not require, you might not need, it might not interest you. So let's say 10%, you might say, okay, I'm not interested in going down this branch of mathematics. So I don't care about those problems. But here's the kicker with mathematics. Mathematics is builds from previous years. Right? It's not like history or geography or a lot of the other disciplines, a lot of the other classes you take in school. Maths should be the easiest course you take in school, in high school. Okay? Because it just builds, adds a little more from previous years. So if you're doing, if you understood everything well in the grade eight, just put a little bit of effort in grade nine. Grade 10, just a little bit more, just a little bit more. A phraser formula has the same meaning, regardless of another language that accompanies it. In this way, math helps people learn and communicate. Even if other communication barriers exist, which is why it's theorized if we ever manage correct contact from other space, it's possible we use that as a way of communication. 100% there. Like the whole, what Mike is talking about, and this is one of the recurring themes in science fiction, right? That the only way that we'll ever communicate or have our first communication with any other entities out there in this universe is through mathematics. Because mathematics is the core language of the universe that we've been able to decipher so far. And it is within the earth within our just little pale blue dot that we live on is the most used language between humans and humans, humans and machines and machines and machines. It is the most used language in the world. Are you going to teach about differential equations anytime? U-sur-per-zant. U-zant. U-sur-per-zant. U-sur-per-zant. I don't know how to pronounce that. I hope one of those is correct. Calculus I'm not going to get into yet. I would have to review a lot of my material that I've learned in the past that I've forgotten because I haven't been focusing on teaching high school math. I haven't done calculus for 25 years, right? So I would have to review all the calculus and stuff like that. At some point we will get into it. I'll create a series on calculus through language and mathematics or some more math and definitely do pronounced right there. Okay, cool. Through... and definitely do live streams of calculus but I'm a few years away from that. I have to do a fair bit of other math content before we can get into it. I just noticed a hand of chaos in the bottom, right? Yeah. This is brilliant. This whole series. Have you read the whole Deathgate cycle, Nick? Have you read the whole Deathgate cycle? Amazing. One of my favorite science or fantasy novel series. I think it's phenomenal. If you guys have never read it's called... Do they have the Deathgate cycle here? Here. This series a Deathgate novel which is called the Deathgate cycle. There's seven books to it and they are amazing. They are amazing, right? Here's another book. Beautiful. I love this series. Yes. Phenomenal. Phenomenal. Here's another one. And these are the hard covers. I only have three of the hard covers. I wish we grabbed... I wish we had all seven in hard cover. We don't. And then here's the rest of them. Here, let me show you. Hand of chaos. Serpent Mage. This was... Here's a volume of one. This is the one you want to start with. Margaret Wise and Tracy Hickman. Genius, indeed. And by the way, I have... I had a friend that I haven't talked to for a long time. He was... He was friends with Margaret Wise and Tracy Hickman. And he got me... He saw these that I had. I've had these for a long time. He saw that I had these. And he went and got a couple of the books signed. And he got me their signatures on sort of a scrap thing for this stuff. So I have signed versions of these too. Calculus was where I decided math wasn't for me. Calculus, you know what? I failed. The first time I took calculus, I failed it. And then I did okay. I took it again and dialed into it and all of a sudden I clicked. It's just introduction of rate of change. It's an introduction of time into mathematics. Calculus is fun if you know all previous algebra geometry. I love calculations, but I don't calculate as everyone. Like everyone, yeah. Everybody does it different. I think calculus gets easier and more understandable when you connect it to physics. Yeah. I agree with that as well. That's the first level of it anyway. Right? That's the first level of it. After that, I'm pretty sure calculus goes a lot deeper into different disciplines. I didn't go there with it. I thought all math was calculus. No. As if they were synonyms. So math is an umbrella term. What are the other kinds of math? Topology, which is surfaces. Steady of surface, I believe so anyway. There is statistics. It's a huge branch of mathematics. There's number theory. There is permutations and combinations, which is statistics, sort of branch, but it could go down a totally different rabbit hole. There's an amazing documentary called N is the Number, which is basically, I think that's what it's called. There's different levels of mathematics, different branches of math. I want to do terrible things to my mobile operator provider. I have had the patches of unlimited data package in Nordic countries outside Estonia for two years without ever visiting Nordic countries and using it. Now I'm in Stockholm and they cut off my internet saying that I am outside of Nordic countries and used up my data limit in general EU countries. Oh man. And this hotel has terrible Wi-Fi. Yeah, the ISPs? Man. I wish we could control. I wish it wasn't so monopolized. What should we expect going into the Death Gate series? The Contra? A wonderment. Amazing. It's... I don't want to give it away, right? The first book. Okay, this is the first book, Volume 1. It's... anything I say will give it away. It's fantasy, okay? There's magic. There's lots of magic. It's very magic centric, okay? But it's got a lot of lore in it. There are dragons in it, obviously. And there's different realms of existence or realms, let's say. And the whole story is... What this world is about and how it came to be. Highly recommended. And if you're going to pick it up and start reading it, I wish someone mentioned this to me once and I really understood what they meant. One of my best friends, he was a very dear friend. He's not around anymore. Unfortunately, he passed away. But he turned to me one day and said, I wish I could watch Blade Runner for the first time again. Right? I wish... I'm very glad that I have read this series. But I wish... At some point, I'll read all these seven books again. I wish I was reading this for the first time again because it's brilliant. The characters are amazing. I loved it. Just read the synopsis for Death Cycle series. It's getting added to my reading list. Awesome Amazon. Well, no. I'm just jealous. I'm not a huge, by the way, I'm not a huge signature collector or anything. I have Chomsky signature and some other people's signature and stuff like this. But I'm not a huge signature collector per se. But it was a gift to me and I appreciated it very much. I like math because it's very pure. But physics can trip up on thinking about the physical world a lot. It's kind of hard. Yeah, I find different disciplines in physics difficult, the units and stuff like this. I prefer just straight-up mathematics. Even though my background, my degree, my major was physics, geophysics. By the way, Latvia isn't dumbing anyone down. It's just how it always has been. Either way, if you do research on Latvia, you will be surprised what a country with 1.2 million people has given to the world. Awesome. That's a really good eraser. In Canada, they've been dumbing it down in a big, big way. Huge. Just dumbing it down, dumbing it down. Where they're passing people that they shouldn't be passing where people are getting into higher levels of high school and they don't know anything. All of calculus is, for me the way I look at it, is the introduction of time into mathematics and rate of change. How things change. Your functions change over time. You're looking at the, trying to understand the functions and zoom into specific points on the function. That, to me, is what calculus was. I could be off, right? But I agree that the percent for passing finals should be higher, yeah. Margaret Wise. They wrote Dragonlands, right? I believe so. I have Dragonlands here, too. Where's my Dragonlands? Where's the Terry Moore? Dragonlands. No, Richard, Dragonlands is Richard A. Knack. But I think there's a few different authors that wrote Dragonlands. It's like Dune, some people took it on, right? This is a Dragonlands series? This is Dragonlands, too. Yeah, so Margaret Wise or Whis. Right? Soul Forge. I haven't read this one. Shouldn't expect much going into Sweden. That was awesome. I wouldn't even want to tell you anything, honestly. You create your own wonders through reading it. Takes you on one amazing journey you'll never forget. Yeah, I agree with Mick. It's one of the fantasy novels, one of the novels that I've read. Seven books, really, that the story is still very vivid in my memory. And I read this 20 years ago. Oh, longer than 20 years ago. Like, late 1990s to early 2000s, I believe. No, late 1990s. I forget when these came out. Oh, God, no. I needed to watch Blade Runner like four times. Oh, I love Blade Runner. I'll check it out. Thanks. Awesome. I also hated Blade Runner 2049 until I slept on it a couple of days. Yeah, I liked it. 2049 was really good. It has been a nice country since I have been here. Some of my distant roots also come from here. But I have to leave because the Wi-Fi won't pull through the stream. See you around, guys. See you around, Booker. Thanks for popping in. Sorry to hear about your internet connection. Yeah, I'm just kidding about screen because I'm Norwegian. Calculus 3 made me realize how much the world relies on calculus. Almost everything is calculus. Almost everything is calculus. I only... I guess I won't have to calculate. I can't remember what level I went. I got my math minor, so I took calculus. I took systems of differential equations. The second tier one blew me away. Wow, wow, wow. It was insane. I'm getting my dune soon, I think. Can't wait. I have no idea what I'm getting into. Olive. I wish I could read dune for the first time again. Fantastic. Are you a math teacher by trade? By trade. Yeah, I guess I've been doing it for like 20 years. I do private. Expired sandwich. I do private. I don't... I didn't go through the system to get a teaching degree or whatever it is. I went into it by circumstance, by life circumstance, and I'm very good at it. Apparently, Tracy Hickman and Margaret Wees started writing fantasy after playing D&D together. That's awesome. That's great, man. I didn't know that. And the friend that I know knew them because he was the one that came up with Magic the Gathering. That was his company. He created Magic the Gathering and he knew Tracy Hickman and Margaret Wees. And they were good friends and he went on to great things and whatnot. Dungeons and Dragons, Olive. Chichu, are you ever going to see a... Are we ever going to see a physics stream? Possibly. I've started tutoring physics a little bit more. I used to tutor physics a fair bit. I used to actually tutor chemistry as well like 15 years ago. But for some reason, it's just the math that started coming my way a lot. Peter. With Peter. Contra. Our paths crossed. Is his name... Is it Richard Garfield? I don't know. I don't want to throw names. I know him as Peter. I don't know if it's him, the same person or not. He runs the Comic-Con or Game-Con in... Is it Chicago now? I don't know where it is now. We lost track. We lost touch with each other like 20 years ago. No, 15 years ago. You can tackle some probability. That's what my exam will concern. Peter. I shouldn't even be dropping names. Should I even be dropping names? He's a really nice guy, man. He's a really nice guy. Yeah, really nice guy. Super nice guy. Super nice guy. Stats. What kind of stats are you interested in? What's your exam on? I hope I have lived a fulfilled life as you when I'm your age. It comes with time, brother. Contra, it comes with time. It comes with time. And you know what the other part of it is? Be open. Be kind. Be giving. Really. If people need help, you help them out. If people need to talk, you listen. Just treat others the way you want to be treated and don't treat them the way you do not want to be treated. Haven't paid attention. Hold on. I'll find my book. Find your book. Computer of studying math is knowing what you're supposed to study. You're interested in computer science? That and math have a lot of similarities. Like functions or rays and whatnot. Yeah. Computer science does math heavy, heavy, heavy, heavy. P versus no-P problems. Where's my bottle? I was scrolling through some of your old videos a few weeks ago, Chicho. Enjoy the deceitig of pomegranates. I believe. And then I was blown away. Away. Releasing. Realizing you went to sound waves to 07 and 08. The absolute glory they make. What? And I went to 07, 08, 09 and 010. I went the last four years. Wow. Amazing. What? That was so sweet. Found it, Olive. Yay. Okay, Olive, what you guys doing? Is it a concert? It was a music event, festival. It started on Friday evening and it went until Monday morning. Electronic music festival. They had three different stages going. Two of them, basically 24-7. One of them really 24-7. The other one's 22-7. 22 hours a day or 20 hours a day. Lots of music going on in the forest, on the waterfront. What an amazing experience. And my notebook. This is my lucky day. Nice. You found your notebook. I was listening to it and oh, even though the quality isn't great, I could picture it so clearly. Yeah. I recorded that stuff. It was a brand new camera I bought. It was a mini-DV camera. And the reason I bought that was because I realized I was going to start making... I was making some math videos but the camera I had that I was using was someone else's. And it was an older one so it broke on me. So I bought that brand new camera, the first for the 2007. And I hopped on the ferry to go to Soundwave, right? And on the ferry I was reading the instructions of how to do this and I brought a whole bunch of mini-DV tapes. And I recorded all that stuff on a brand new camera on a mini-DV tape. And I was surprised the sound quality was considering what it was recording on. The sound quality came out really good. The picture quality was pretty good too, as far as I'm concerned. But it was fun. It was enjoyable. That was so good. It was very good. On a scale of 1 to 10, how rough were you? For the days after Soundwave. Rough is not the correct word. I was... What is the correct word? I was very distressed. It was very enjoyable. I was pretty loose, pretty relaxed. It was pretty relaxed. I made some really good friends during that festival. One people I made really good friends with were Thuckfucker, Thomas and Homer and Greg. They're a DJ band from New York. One of them was Icelandic and he lives in New York. One of them was Italian, they live in New York, they had a band together. Some of the other DJs as well. Just kicking it with our own stuff and a lot of just locals. It was good. Were you ever there by the way, Mick? Which years were you there? So Olive, what's in your book? What kind of stats are you guys doing? I love festivals like that. There's no race, no religion, no gender, no judgement. Just pure wow. 100% Mick. And Soundwave? I haven't found anything as amazing as Soundwave yet. And I've never been to anything as amazing as Soundwave before that. Binomial coefficient. Does this say you tell you anything? Translating math terms into easy. Binomial? Yeah. So check this out, binomial. Let me know if I'm going too far with this. Olive, I don't know where you are with that. No, I wasn't. But I've been smashing techno festivals and such here in the UK. Nice, nice, Mick. I haven't been to a festival in the UK or in Europe. Just the West Coast and US a little bit. So West Coast and whatnot. I have to confess that I just bought 5GB more of general EU internet from my ISP while writing an angry letter to my ISP by asking them proper compensation for that up or I'll take my business phone numbers to other ISPs. Cool. Hey Chico, I'm a metal bender. I wish I improved my profession in math. Okay. Not the mainstream festivals though. The underground types where it's a certain type of groups that head there wouldn't change it for the... Yeah, either with me. I like the closed net feel of the underground stuff. Your money speaks more than your letter. But I get the struggle. Yeah, not with Dante too. We barely have a choice in Canada, right? Binomial theorem. Is it the binomial theorem? Binomial coefficients. Coefficients. Are you talking about the binomial theorem? Where the binomial theorem is this. Like are we talking about all of Pascal's triangle? Right? Are we talking about this? One, one, one, one, two, one, one, three, three, one, one, four, six, four, one. Olive, let me know if this is on the books and we have the Pascal's triangle. Okay, cool. Awesome. So, here's the thing with the binomial theorem. Right? Okay, it's a... Okay, awesome. Watch this. Okay. Now, let's do an expansion of a binomial. Let's say we have... Is this coming out okay? Let me try to find one that's darker. I might have to get new pens again. Let's say we have... Nice. Let's say we have 2x plus y squared. Let's say we want to expand this. Wow. I just posted it when you said it. Nice. Hold on. Need pen. Okay, go get your pen, Olive. I'm going to read the other comments. Yeah, this is a good introduction to combinatorics, yeah. I haven't been on 5 megabit internet for like 18 years. It felt weird. It's fast or slow. I just took... For me, I tried to livestream initially when we got on Twitch and I found out that I needed the maximum internet that I could get to be able to livestream this stuff. So I upgraded my internet to the highest speed they have. That's what I had to do. Olive, I hope you're back. Are you back? Let me know as soon as you're back. We'll do this because you need to be here to get the flow of this thing. Got that? Shoot, shoot, shoot. Awesome. Check this out. So you've done binomial expansion. Let's say you have this squared, right? So what you've got to do, squared means this times itself. So you're going to go 2x plus y times 2x plus y, right? So this guy goes there, this guy goes there, this guy goes there, this guy goes there. 2x times 2x is 4x squared, right? 4x squared. 2x times y is plus 2xy. y times 2x is plus 2xy. y times y is plus y squared. And then you combine your like terms, right? So this guy asked this guy. So this is 4x squared plus 2x... Sorry, 4 2xy plus 2xy is 4xy plus y squared. Right? Easily done. Easy peasy. Right? Okay. Now, what if this was cubed? What if this was cubed? Right? If this was cubed, it means three of these things multiply together. So you've got to get this. 2x plus y. And you can't just go this times, this, this times, this, and then this times, this times, this time. It's too much, right? So what you have to do is multiply this together. Combine it, right? 2x plus y. And then you've got 2x plus y. So those two multiply together, give you this. And then you combine your like terms to get this. And you still have this guy. And then what you've got to do is you've got to multiply this by this, right? So this multiplies this and this. This multiplies this and this. And then this multiplies this and this. I'm not going to do it. It's going to be long, right? What happens? It's way more work than just two, right? What happens if this was a four? Oh, crazy. You've got another one. You've got four of these things multiply together. 2x plus y. So you're going to do two of these guys, right? You would do this guy. You would do this guy. Now they're both the same thing. So what you would end up here is, you would end up having this multiply itself. 4x squared plus 4. And then you would go this times this. This times this times this times this. This times this times this times this. Oh, no, too much, right? Mind blown. Mind blown. What if you had five? Oh, no, no, no, no, no, no. Like, oh, too much, too much, too much. There's an easy way to do it. It's called Pascal's Triangle. It's called a binomial theorem. Oh, isn't that nice? Let's do. Oh, what was it? It was 2x plus y. So let's keep this here. We'll keep this blank, right? Let's see how this works. Let's see how this works. Check this out. Now, Pascal's Triangle does this. You start off with a 1. And then you go 1 and 1. The ends of this thing are all 1. It goes like this, triangle. To get this guy, you add this plus this. You get 2. So 1, 2, 1. And then 1, add this and this. You get 3. Add this and this. You get 3. And then 1. And then 1, add this and this. You get 4. Add this and this. You get 6. Add that and that. You get 4. And you get 1. Right? And so on and so forth. You could build this. Here. Let's build it one more level. Should we build it one more? Let's build it one more level. 2x plus y. Here, I'm going to write that thing over here. 2x plus y. And we're going to have a question mark here. You could do it again. 1, 5, 10, 10, 5, 1. Right? Does it go on further then? Oh, okay. Yeah. You could take it forever. Right? And this is a cheat, simple way of doing what we just talked about. Oh, I was getting too much. Right? And then there's another simpler version of this that is about a formula that makes it general that you could use for anything. Right? Mathematicians, as I mentioned before, I've dropped this. Now, if anybody's a mathematician here, don't get angry. But mathematicians are the laziest creatures on this planet, laziest people there are. Because they're trying to simplify things as much as they can. Right? They try to make it easier and easier and easier and easier. Right? Always good to calm oneself with some math after getting angry to your USB. Yeah. That formula is complicated. It's not, to a certain degree. We'll talk about the formula. Let me see what time is it. Okay. We'll try to get this done. Lazy out of necessity. That's true. So, lazy out of necessity, contra, very true. Right? They're just trying to simplify things. It's long. It is long. Don't worry about the formula yet, Olive. Watch this guy. What these numbers are, are the numbers that are in front of this expansion for each term. Right? And the way you can think about it is this. This is the power. No, that's not the power. But if the power is zero, the answer is one. If the power here, this is the power. Okay. If this guy is zero, this becomes one. Because two x plus one, oh, sorry, plus y to the power of zero is equal to one. Anything to the power of zero is one. Right? If the power is one, you got two x plus y to the power of one, then it's going to be one times the first term and one times the second term. So it's going to be one times two x plus one times y. Which is the same thing, right? It's just two x plus y. Okay. If the power is two, okay, what you're going to have is two x plus y to the power of two. It's going to be, there's another part to it as well. It's the formula part, right? But it's going to be the numbers. We're going to get three terms out of it. Right? As we did before, if you expand it, you get three terms out of it. So the first term is going to have one times whatever goes here, plus two times whatever goes here, plus one times whatever goes here. Okay. If the power is three, three x plus y, if the power is three, right, there's going to be one, two, three, four terms in it. Okay. And what it's going to be is going to be one times the first term, whatever it is. I'll tell you what these terms are by the way. I lost you. Did you? Okay. Just keep this in mind. I'll show this and then we're going to do an example for you to see. Okay. Because there's one more layer to this. Okay. One times whatever goes in here. I haven't covered what goes in here yet. Okay. Whatever goes in here, three times whatever goes in here, plus three times whatever goes in here, plus one, whatever goes in there. Now, let's take a look at what goes in here. Okay. I'm going to erase this. I just wanted to show you what these numbers represent. And I'm going to erase these guys. Oh, that's okay. They come out okay. I'm not going to erase these guys. It's just telling you what's what, right? Actually, let's erase it. That way, there's less things coming at you. So it doesn't look as confusing. Right. And then this would be the power of four. How many terms is to the power of four going to have? If it's to the power of four, if this was to the power of four, it would have one, two, three, four, five terms. Okay. Now, what goes in here? What goes in here? This is what goes in here. Let's erase this. What goes in there is the following. Let's simplify this. Let's call this A plus B to the power of whatever. A plus B is just generic as placeholders. You could say square or you could say diamond and triangle. Right. It doesn't make a difference. We use letters because it's easier. Right. So I'm just going to convert these to letters. But the letter doesn't just have to be A and B. Right. A right now is 2x and B is y. A could be 2x squared plus five. It could be a huge term. Right. But for us, we're just going to keep things simple. We're going to use A and B. Okay. And the binomial expansion says this. The power up here goes with this guy. So if you're expanding it, you're going to go A, the first term. Now, it really depends what power you have. Right. So we're going to keep it. Actually, let's do a specific one instead of a generic one. Right. Let's assume this was to the power of, better this way. Let's say this was to the power of four. Okay. So if we're going to expand this, this is what we have. We got a one plus a four plus a six plus a four and then plus a one. Right. Now we have to figure out what goes in here. Now what goes in here is the following. You take this guy to this power. Okay. That's what goes in there. Times this guy to the power of zero. Okay. The next one is this guy to the power of one less than four to the power of three and this guy to the power of one. Now what you have to keep in mind is this. The powers up here, they add up to four because they have to total four. This is, you don't even need this term. I'm putting it in just for the mechanics of it. What's anything to the power of zero? It's just one. So you really don't need this. I'm adding this in because I'm going to try to make the point that these two added up have to equal to four. So four plus zero is four. Three plus one is four. This guy has going to have an A. This guy's going to be a B. It's just to understand better. Yeah. I know it throws people off, but once you see the whole picture, you go, oh, that's what it is. Right. Well, mass stream, mass stream. Every term needs to have a total power of four. Right. So for example, so the, and by the way, the first term starts up with this number and goes down. And this term starts off with zero and goes up. Right. So we were at four, three. What's the power going to be on A and B? Well, this is going to be three minus one, which is two. One plus one is two. Right. This guy, A and B. What's A going to be and what's B going to be? Do you do mass streams often? Yeah, Atlas Brute. I've been doing them probably once every week, once every two weeks. We do about anywhere between two to four a month. Also, do you cover anything like that? Oh, Atlas Brute. Man, so many people are asking for calculus. I'm not covering calculus yet. I'm focusing on specifically high school mathematics. Less calculus. One and three. Perfect. One and three. What's this one going to be the last term? A and B. It's going to be zero and four. Right. Zero and four. You're good with that? What's about half like, what's about stuff like trig? Yeah, trig for sure. By the way, I have a perfect olive. By the way, if you do chico trigonometry, I have a playlist on trig, which is a phenomenal playlist here. I'm just going to take a little break from this. I'm olive. Keep this in mind. Okay. Let me show this person our trig playlist. Oh, actually, we can just go add YouTube GPS. Where is that command? YouTube. Go to this channel. Okay. And if you go to the playlist, there's a trigonometry playlist. Trig, trig, trig, trig, trig. Where is our trig? Full playlist. Oh, no. I don't want to like videos, but no. Creative playlist. Trigonometry, trigonometry, trigonometry, trigonometry, trigonometry, there we go. Here's our trigonometry playlist. Hope you enjoy it. Okay. Now, olive, we should be good up to this point, right? Hopefully we're still streaming. Uh-oh. I see my thingamajiggy buffering. Whoa. I actually have seen. Okay. Awesome. A few of your videos in the past. Awesome. Good stuff. Check this out. We were to the power of four, so it's one, four, six, four, one. One, four, six, four, one. And it's A to the power of four, B to the power of zero and all that jazz. So all you do now is, let's assume it was this guy we're taking to the power of four. This is your A and that is your B, right? And always remember the sign in front of the number goes with the number. So if this was minus Y, it would be negative Y goes in for B. So let's do one. Let's make it a little bit more complicated. Let's stick with that. No. Should we make it a minus? My pleasure. That was rude. Let's make it a minus. Let's assume we had two X minus Y to the power of four. If that's the case, then what you do is you go one, two X to the power of four, negative Y to the power of zero, plus four, two X to the power of three, negative Y to the power of one. Plus six, two X to the power of two, negative Y to the power of two. Plus four, two X to the power of one, 1, negative y to the power of 3, plus 1, 2x to the power of 0, negative y to the power of 4. Is that clear? I hope that's clear. Now some teachers, some exams, they don't want you to waste time to simplify this. For us, we got time. We got time. We're going to simplify this. So let's see if we can combine like terms, see what's going on here. So let me, I'm going to erase all this by the way. So let's do the expansion. That was 1, 1, yeah, we got that. So this guy, 1 times 2x to the power of 4, 2 to the power of 4 is 2 times 2, 4816. So 16x to the power of 4, negative y to the power of 0 is just 1, so we don't need to put it down, plus 2x to the power of 3, 2 to the power of 3 is 8. Negative y to the power of 1, it's a negative 1 to the power of 1, so it's negative 1. Negative 1 times 8 is negative 8 times 4 is negative 32. So this is not a plus, but minus 32, and it's x to the power of 3, y to the power of 1, x to the power of 3, y to the power of 1, and you don't need to the power of 1, so we can take it out. The next one, 2 squared is 4, why do you keep the 4? Why do we keep the 4, 4, 4, 4, 4, this guy, which 4, this guy, or that guy? Let's deal with your question first, because I want you to know, don't have any questions if you want to build this up. 4 times 16, this is 2 to the power of 4, you already multiplied it, did I multiply it? This term here, that's a 1, that's 16x to the power of 4, it's not, because x to the power of 4 is x to the power, yeah, so all of what you're thinking about is, here check this out, keep this in mind, this is your base number, and you have a power. The power never directly interacts with the base number, the power does things to the base number. So if you have 2 to the power of 4, that's 2 times 2 times 2 times 2, which is 16. If you have 2x to the power of 4, that means 2x times 2x times 2x times 2x, 2222 is 16, xxxx is x to the power of 4, okay, does that make sense? Cool, let's erase this, now where were we? We did this guy, now we gotta do this guy, 2x squared, well 2 squared is 4 and x squared is just x squared, right? So 2 squared is 4, negative y squared, negative 1 squared is positive 1, so 1 times 4 is 4, times 6 is 24, so it's going to be positive 24, and it's x squared and y squared, x squared, y squared, right? Let's do this one, plus, now we don't know if it's a plus, it's going to be a minus because that's a minus, so I shouldn't even really put a plus sign, thanks. No, no apologies about slowing down or taking a pause and explaining something, always keep in mind whenever you're in class, if you have a question, the odds are someone else has the same question, really, there is never the wrong time to ask a question to clarify something in mathematics, because mathematics builds on previous concepts, previous things you've done, you need to understand that process because before you can build on top of it, if you're missing this little gap, always try to find out what that little gap is, right? Over here, 2x to the power of 1 is just 2x, negative y to the power of 3 is negative 1 because negative 1 times negative 1 times negative 1 is a negative, so negative 1 y cubed, so this is negative 1 times 2, which is negative 2 times 4, which is negative 8, minus 8, and if it was x and y cubed, plus 2x to the power of 0 is just 1, you don't need it, that's a 1, 1, negative y to the power of 4 is plus, again I put the plus in before, but it is a plus now, so don't put it in until you know what it is, I usually end up putting it in, I don't know, it's just a habit, so negative y to the power of 4 is plus y to the power of 4, right? So this guy taken to the power of 4 is this guy, right? And you could put it here, minus 8x y cubed plus y to the power of 4, right? This took less work than it would have if you do the foil method, right? It takes a lot of effort to do that. Now, this is a lot, it is, all of it, it is a lot, you need to practice, you do this correctly once, you're going to go, oh, you do it correctly twice, you're going to, what, you do it correctly three times, you're like, oh, this is easy, right? Just imagine if this was to the power of 7, this method would be so much easier than the previous method, all you would have to do is expand your Pascal's Triangle, because this guy here, this row here is to the power of 5, right? Now there's another formula which gets into combatorics, which gives you a general formula for the thing, but we're not going to get into that right now, okay? So that negative y will carry to the whole expression, negative y carries to the whole expression. One of the most important things you got to learn in mathematics, the sign in front of the number goes with the number, okay? This isn't, we erased it, now this was negative, the one we did, right? This isn't y, this is negative y, okay? By the way, gang, thank you for the vallos, thank you for the subs, I'm sorry if I'm missing out, but when we do the stuff, I look over, sometimes I see a name popping up and I can't see it, right? I did not know that there was a strain like this on Twitch, protein the great, protein the great, awesome. Glad to have you here, protein the great. Oh Lord, 7, what about 20,000, what about 20,000? There's a formula for it, right? Voyager. The formula is, I would have to look it up just to get the correct terminology in, right? It's c, n choose r, I don't know what what they use, I think it's x or we'll call it a to the power of n, b to the power of n minus r, sum of from n to 1, right? I don't know if all lives there yet with this formula, binomial theorem, that's a big triangle, that's a big triangle, that's when the formula that Chico was talking about comes in handy, that is this guy, comes in super handy, right? Oh, with the sigma, yeah, sigma, got to love sigma, yeah, the sum of your formula is correct, is it correct? Yeah, I think it's correct. I think they use n and r from n to 1, I believe. And what is going to really blow your mind is this can be expanded to three plus terms like yeah, yeah, yeah. In high school mathematics, we don't do that, we don't do the triple terms, right? I actually don't know what the formula is for the triple terms, I can't remember. Maybe another example for Olive, yes it is, maybe another oh, we're running out of time, I have a student I got a Skype with, we've got two minutes, we won't be able to do it for two minutes. But Olive, for sure, if you need more of this, send a post a little message on our Discord page and maybe we'll set up another math stream for the weekend to do more of this if you like, okay. And for sure, I'll look up the formula or we'll look it up together and make sure we're using the right terms. I don't know what they're using in Norway, what the symbols are, but it's all the same, really. Some places change it to i's and x's or whatever it is. Thanks for the help, my pleasure Olive, my pleasure Olive. I hope it helped and the trick to learning math, we just went over it, it's fresh in your head, I see it more clear now, awesome. It's fresh in your head, the best thing you can do right now is sit down and do at least one of these and do one that doesn't have any fractions in it, okay. The fractions become a little trickier, it's the same process, but people get confused with the fractions a little bit, like do one that's simple to do, something like this or even just x plus y, right. If you want add numbers, which is sort of better because it gives you a more handle on how large these numbers can get. Yeah, in France we don't use C much for combinations, we do parentheses with N on top and K on top. Oh, you guys do it like this. N and K, oops, N and K. Yeah, they do that a little bit here as well. I prefer this, that's what I learned on, that's what I've been teaching on a lot. It's 1 a.m. go to sleep, have have have combatoric dreams, so maybe some math in the morning instead. Okay, I'll have math in the morning and you could always look at this video again. I'll have this video up on Bichoud and YouTube probably in about four days, okay. I want to get the Julian Assange streams up, I don't want to break that rhythm and then load up the math ones. We're already getting killed on YouTube, like people are downloading the Julian Assange stuff hardcore and YouTube's relegating it, right. So we got to get that out of our system, right. It has to be done, truth has to be spoken, right. Do you ever get into more proof-based math? Ah, some voyager. I'm not a, as you know, hopefully you know, I like doing problems. Proofs confuse me a little bit. There's some proofs that I can do for sure. The harder proofs I'm not very good at. I'm not very good at. It's a lot different from algebra, calculus, what not, yeah. We do this, then N and K stuff. Okay, cool. Wait, what Julian Assange streams? Did I hear correctly? Yeah, put in the grid. I've been doing Julian Assange streams. We did Julian Assange yesterday. I did, here, let me give you my Julian Assange, WikiLeaks and Julian Assange playlist. Here. Oops. Hey, come on. Here's the full playlist we have on Julian Assange. We did one stream yesterday that I haven't uploaded yet. This is the playlist on YouTube that we're putting on. Yeah, it is confusing, but it's important, I think. Yeah. Yeah, it is important. It is. I just was never taught it correctly and it's just the way that we do assumptions for proofs, it was insane. I did a lot of proofs at university. For one geophysics proof we're doing, it was four pages. First year geophysics course I took. Four pages that they would give you this formula and say proof this. So you have to, it was four pages of proofs where you're bringing in other formulas and stuff. It was insane. It was super cool though. Wow. Good for the brain. Good for the brain. They are great streams, put in the grid. You should drop by next one. Jeez. Okay gang, let's call the stream. Thank you very much for being here by the way. I enjoyed it very much. This is, it's great doing these after the politics, Assange streams and stuff like that because those are pretty heavy, pretty intense and these are just pure joy to do. Really, just teaching math is, for me it's one of the great pleasures in life that I have and I really appreciate doing this. So thank you very much for being here gang. Thanks for the questions, Olive. Thank you for this. I love this. This is great. I hope it helped. I hope it helped. Everybody else, thank you for the subs. Thank you for the follows. Thank you for the comments. Thank you for helping out other people, right? If they needed a quick answer or if they needed a little direction and stuff like this, right? And all of you guys that have here for the first time you're like we're doing math. We're doing math. We're going to do this on a regular basis for as long as I'm around anyway. Okay. It did help indeed. Awesome all that. This stream is great. Definitely will check in from time to time. Awesome put in the great. I hope you enjoy. Thank you for the stream Chicho. Though I don't understand math the best it somehow calms me. Awesome. Awesome broker. Cool. I enjoy the math stuff. I hate politics. I'm not a fan of politics either but it's something that I need to need to do. I don't like bullies and I if I see people situations where the underdog is being beaten to a pulp with mobs cheering on I need to step in. It's just the way I was made. Okay. Bye everyone and I'll announce the next streams probably in a couple of days. We might end up doing one over the weekend. We'll see. I need to catch up with some stuff. If we don't do one on the weekend we're going into next week late next week. Okay. If you don't do politics politics happens to you. Yeah. Everything is politics. Even mathematics unfortunately. Thank you Dante for taking care of business brother. Thank you for sticking around. Thank you for coming on a regular basis man. Very much appreciate it. Bye everyone. Hope you guys have a fantastic Wednesday and Thursday for all of those of you in Europe. Ciao.