classes, our reading classes, and make sure we're coming in live. And we are. Hello, hello. Good morning, everyone. This is Chichou, and welcome to another live stream. Today, today is February 15, 2021. And we're doing our math tutoring session, approximately number 70. We'll go with that. We're going to do basically making myself available for a couple hours every couple of weeks, I guess. Probably twice a month to do a little mathematics on CharterDays. How are you doing, Chichou? Hope you are well. I've been looking forward to this. Awesome. Awesome on CharterDays. Me too. Me too. I've been doing some spreadsheet work in the background, and there is a little thing, a little short segment that I do want to cover today, because I'm going to pull that, extract that out of the live stream and have it as a standalone video, so we're going to reference it. And it's relation to personal finance, investing in personal finance, and directly linked up with the stuff that we're doing regarding comic books, which we're going to do that stream in three days, right? So I'm doing a little bit of prep work for that, for that stream. And Speedo Gonzales style, just because it popped up is a reminder to me to let the word out, right? Free Assange, free Assange, free Assange. Julian Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capital's power to humanity. For more information, see our WikiLeaks and Julian. See WikiLeaks.org and our Julian Assange and WikiLeaks playlist. And we'll wait up until notifications to go out. On Charity Days, is there stuff that you really want to talk about with mathematics? I hope you're, if I remember correctly, you're going through some stuff right now. So we'll definitely, we can definitely cover some of that stuff. And again, there's a short little about 15 minutes segment that I do want to do regarding return on investment and compound interest and calculating annualized return on investment as well that we're going to need. There's basically two, three numbers that we're going to have entered in our, our spreadsheets. Basically algebra, yeah, yeah, because we did the negative numbers last time, right? And that helped you out, I'm assuming, because you mentioned that you grasped it. So that was good. And while we wait until for people to roll in, let me give my little intro, because sometimes notifications don't go out for a while. We wait about 10, 10 minutes or so. Laugh out loud, Tony. Hello, hello. How are you doing? Welcome, welcome to another live stream. Gang, if you want to follow this work, this is the core essence of what my work is about, which is mathematics. You can follow the work on Patreon, patreon.com forward slash chico, C-H-Y-C-H-O. If you want to support this work, Patreon is a great way to do so. If you want to follow this work, Patreon is a great way to do so. I don't put a thing behind paywalls. Everything's creative columns, share and share alike. And for those of you that was supporting this work on Patreon, thank you very much for the support gang. We are live streaming on twitch.tv forward slash chico live, C-H-Y-C-H-O-L-I-V-E. If you want to participate in the chat, in the discussion, while the live streams are taking place, Twitch is where you want to be at. Good morning, Gina. How are you doing? I hope you're doing well. And for those of you that was supporting this work, obviously, of course, thank you very much for the support. Thank you for coming out to these live streams. Thank you for the bits. Thank you for the subs. Thank you for the follows. Thank you for participating in the discussion and the mods when they pop in. Thank you very much for being here again. Maladras to how are you doing? Cheers, cheers.  It's just coming back online. I couldn't log on, but I should be able to soon enough. And Twitter. And you can follow the work there. We do share some additional information there, basically using those as platforms to announce what it is that we are doing. But we do have a Discord page where a lot of people are participating in the discussion. And you can come to our Twitch channel anytime you want. Type in social and all the links will pop up here to the announcement platforms. And at the bottom here is our Discord link that you can join and participate in the discussion. And we've got a lot of different folders there, right? Channels. And you can choose what it is that you want to participate in, in regards to the discussion. We do have a math folder there, science folder, technology. We haven't had a physics one yet, but I guess that goes in math. But if the need arises, we will. And for live streams where we don't have any visuals, we will today. We do upload the audio to soundcloud.com forward slash chico, chycho and it should be available. Those audio files, podcasts should be available on your favorite podcasting platform, including Spotify and iTunes. And we will be uploading this video and segments of it to SensorTube, BitShoot, Rumble. And if we have enough coins and Odyssey, we'll load up Odyssey as well. We do have a channel there as well. But for sure, they're going to go on SensorTube, BitShoot and Rumble. And for those of you that are supporting this work on those platforms, thank you very much for the support. And if you are on SensorTube, you can support this work by joining YouTube membership or SensorTube membership. And for those of you who joined SensorTube membership, thank you very much for the support. Aside from that, let's take this stuff down. Uncharted Ace, basic algebra. Let me do a little check. I think notifications are slowly going out, but let me pull this down. Uncharted Ace. Now, I sort of made this little announcement at the beginning that there's a little bit of short segment that I need to make today during our math stream that's going to be linked up with ASMR mathematics, with investing in personal finance, with investing in comic books that we're going to do in four days on Thursday, I believe. So I'm putting the spreadsheets together and there's a couple of calculations, three calculations that we're doing that I want to go over the mathematics of it, just speedy Gonzales style, right? And they are stuff that we've already talked about. I've already put out videos, extensive videos on them. One of them is compound interest. Let me link this up and I'll provide a link in the description of the video as well. This is the compound interest formula that we're going to be using for investing in comic books in four days that we're going to be talking about, formulas that we used up in the spreadsheet, as well as return on investment, which is this video here that we're going to be referencing. So those are two things that I just want to cover speedy Gonzales style. Aside from that, on charter days, you want to do basic algebra, right? We did adding and subtracting negative numbers, multiplying negative numbers. I believe we did multiply negative numbers as well, right? Sem Stover 12. Thank you very much for the follow. We did the negative numbers. Are you cool with the negative numbers? And by the way, gang, no matter what we're talking about, if you have math questions, drop the math questions in chat and we'll get to them, right? Math supersedes anything else that we are doing. Okay, so we're here to do mathematics. Yeah, I think so. Okay, so negative numbers are covered, right? Adding and subtracting, you're cool with, are you cool with adding and subtracting decimals, numbers that have decimals, and multiplying numbers that have decimals? Should we cover that as well or are you good with that? Let me know. If you're good with that, we can just go into straight up multiplication and along the vision. Okay. And then once we've covered, we've already covered adding and subtracting, right? Then we cover multiplying and dividing. We can go into how to move around an equal sign, which basically kicks you into algebra. And once you know how to move around an equal sign, you're gold, you're money. Adding, yes, but not subtracting and multiplying. Okay, let's do this one, try today's. So adding straight up, right? Let's cover the adding part, right? Just speeding on the Zalas. Adding. When you're adding two numbers, it really depends if they have decimals or not, but you're lining things up based on their tens, right? Based on their position, right? So let's say we're adding two, five, seven, six, plus seven, four, two, right? I'm covering, I know you said adding, you're okay with, but subtracting is just adding negative numbers. So we'll cover adding and then we'll flip it for the subtracting, right? If you're adding these two numbers, then what you do, this is the one positions, the tens, the hundreds, the thousands, you line them up according to their position, right? So if you're going to add these two numbers, you go to five, seven, six, and that's the two, four, seven, right? Seven, four, two, you line them up. When you're adding them, you add. Six plus two is eight, seven plus four is 11. If you get anything over nine, you've got to carry over to the next level because that's 10 plus, right? So four and seven is 11. You put the one here and the 10 goes up here, and then you got six and seven is 13. You put one here, three. So that's adding them. Now, what if you had decimals in this, right? What if this was two, five, point, seven, six, plus seven, four, point, two, right? Same digits, but a decimal at it. Then what you're really doing is you're adding based on the decimal, you're lining up the decimal because that is exactly what you were doing here, right? You're lining up based on the decimal, but the decimal is invisible because we don't have anything past the decimal, right? So the decimal for these guys is here and here and here and here, right? So we're lining up on the decimal. So if you're doing this, you line them up point seven, six, plus seven, four, point, two, right? Now anything in the decimal that you don't have numbers for, like this goes two decimal places. This only has one decimal place. So what you have here is really just a zero, okay? It's an invisible zero.  Five plus four is nine. Two plus seven is nine. Wow, cool number. 99.96. Easy peasy, right? Let's do subtracting. Subtract. So let's assume we're subtracting these two numbers again. Two, five, seven, six minus seven, four, two. Okay. So again, you line them up based on the decimal, the invisible decimal that we had here is also present here, right? Because these are the single digits. These are the tens, right? The hundreds and the thousands, right? So when you're subtracting, you want to line it up with the higher number, the bigger number up top, right? With adding, it doesn't make a difference. With subtracting it does. You want the bigger number up top. Two, five, seven, six, and you're going to subtract seven, four, two, right? And what you do is you go six minus two is four, seven minus, seven minus, six minus two is four, seven minus four is three, and then you're going to go five minus seven, but you can't take seven away from five, right? So whenever you're subtracting, when the above number, right, is smaller than the lower number, whatever you're taking away from the above number, what you end up doing, you're borrowing one, you borrow a 10 from the next number that's higher up, right? So it's not really a 10 for this one. It's a hundred because this is the hundred position, so you're bringing a thousand over, but think of it as borrowing a factor of 10, right? So seven minus, you know, seven minus five, five minus seven, you can't take seven away from five, so you borrow one from the two. So the two becomes a one and five becomes a 15. So borrowing one from the next number up means you're adding 10 to this one. So 15 minus seven is eight, and then you have a one here. So the answer is this doohickey right here, okay? Cool? So that's this one. Let's do this one by subtraction, right? Let's go four, let's go if it was two five point seven six minus seven four point two, right? Again with subtracting, you need to line up the decimals, right? I don't like the decimals bigger so you see, you gotta be pronounced, right? So you're gonna line things up with the decimal, but the rule stands when you're subtracting numbers, when you're doing them this way, you put the bigger number up top and subtract the smaller number, even though we're going against or not against but sort of manipulating our first mantra in mathematics, which is the sign in front of the number goes with the number, right? But this is sort of a mental note that you're going to make because what you're going to remember is if this was 25 minus 74, then you're subtracting a bigger number from a smaller number, your answer is going to be negative. So automatically you should remember that your answer is going to be negative because you're taking away a bigger number from a smaller number, right? But we still want to make the bigger number digit-wise anyway on the top. So you're not going to write this as 25.76 plus seven or minus 74.2, you're going to write this as 74.2 minus 25.76. Okay, now remember this is flip of what this is. So what we're going to keep a mental note of that whatever the answer is that we're going to get here is going to be negative, right? If you want smaller numbers, look at this. Let's assume we had here that's four, let's go five, or an aside, right? If you had three plus five, that's an eight, right? If you have five plus three, that's an eight, right? Now what if you had three minus five, and what if you had five minus three? Well, five minus three is just two, we know that, right? But three minus five, we should notice by now, the answer is negative two. But if you're going to do the subtraction like this, which you need to do when you're dealing with bigger numbers, you need to put the bigger number up top and subtract the bottom number and remember mental note that the bigger number was negative, so your answer is going to be negative. So what you're really doing is doing this. You're going five minus three, that's two, but two is not the answer to this because the bigger number was negative, so the answer is really negative two. Okay, you make a mental note of it. That's exactly the way you're going to treat this.  Now remember anything after the last digit, after the last decimal point, right? You can add a zero if you don't want to have an empty spot there, right? Because what you're about to do is do this. You're going to go six, take six away from zero. Well, you can't take six away from zero, right? Zero minus six doesn't work because zero is zero. Zero is a smaller number, six. So what you need to do is do exactly what we did here is go to the next number and borrow a ten value, right? So ten comes over, ten plus zero is ten. So now you're going to go ten minus six is four. And then you go to the next number. You go one minus seven. Well, you can't take seven away from one. It doesn't work. So you've got to go to the next number and borrow one.  So you're always kicking it down by one, the next number when you borrow it, and then you're adding the ten to one, which makes it eleven. So usually you're just adding a one right in front of whatever that number was there previously. So eleven minus seven is four. Put your decimal in place, and then you're going to go three minus five. Well, you can't take five away from three. Same problem, right? So what we need to do is borrow one from the seven and turn the three into thirteen. So if we take one away from seven, that becomes a six, and this becomes a thirteen. Thirteen minus five is an eight. Six minus two is four. Now the question is, is 25.76 minus 74.248.44? Well, it's not because this is the bigger number. This is negative 74.2. So we know the answer is negative. So that becomes your answer to this subtraction. I went through this pretty fast our charter days, but the foundation that the step-by-step process is there. Does this help you out? Does that make sense? Do you have any questions regarding this, or anyone else for that matter? Because what I'm going to do is we're going to go through the speed of Gonzales to a certain degree speed of Gonzales, right? We're doing the subtraction. We've done the addition. We're going to do multiplication and we're going to do division. Okay, awesome on the charter days. We're going to do division. And before we're going to talking about how to move around an equal sign, we're going to do what the little segment that we need to do, because all you need is addition, subtraction, multiplication and division to be able to do personal finance, investing, to calculate return on investment. Crazy, right? You do need exponents as well for compound, but we'll wait up on that. Okay, so I'm going to take this down. So that's subtraction. Let's talk about multiplication. Let's talk about multiplication. Now the first thing you have to understand about multiplication is multiplication is an extension of addition, right? We'll multiply the tops and bottoms with tens to remove decimals. Yes and no, right? If you have an equal sign, as long as you do it to both sides of the equation, you're okay with that, right? Because whatever you do on one side, you can do to the other side. But if you're simplifying, you can't just multiply the numbers by 10 because you're kicking up the numbers by magnitude of 10, right? So you're not going to get the final answer, right? The legit answer. By the way, gangs, apologies about a final catch-up. Thank you for your follow-ups. Thank you for the subs. If you're subbing, and thank you for the follows when I'm not catching them, technically I'm multiplied by one. Okay, it might be making it a little bit more difficult. 10 over 10, sure. But it's extra step work that you need to do. Once you start doing and adding and subtracting with decimals and whatnot, it just becomes routine, right? That extra step might help you out initially, but in the long run, you're going to eliminate it. It's like having training wheels on a bike, right?  But once you learn how to ride a bike, those training wheels really slow you down. Yeah, I just like to do things in weird ways, okay? Walls, norwards. So check this out. Let's do multiplication. Multiply. Multiply. Okay. Now, look, multiplication is an extension of addition. One thing I keep on saying is mathematicians are some of the laziest people you meet in the world because they like to simplify things. They like to make things speedy on Zala so they don't have to spend too much time processing simple information. They want to move on to the more complicated stuff, right? So they've come up with shorthand and all this jazz, right? Just like, like, how are you doing? I feel like math is in my school was more about solving the problems and not learning why I was doing all this. Yeah, it's, they weren't even teaching you how to solve problems.  And they don't even tell you to look at the final answer to say, does that even make sense, right? Which we will be doing. Which we will be doing, right? Now, take a look at this. Multiplication is an extension of addition. So just imagine if you had this two plus two plus two plus two, right? What's four twos added together? Well, four, six, eight, that's eight, right? But a simpler way to do this is take your addition symbol, rotate it, right? Take your addition symbol, rotate it four to five degrees, you get a multiplication symbol, right? That's what multiplication is. The symbol represents and what that means is you're, you're adding the same number multiple times, right? That's what the definition of multiplication is. So instead of writing two plus two plus two plus two is equal to eight, I can go two times four is equal to eight, which really means add two together four times, right? That's all it is, okay? That was my experience of that. Think of that, right? Multiplication is not something magic, something really necessarily novel that's been introduced in mathematics. It's just a faster way of doing addition, okay? As far as how to multiply, you do it this way. Let's assume what was the last number we had? Two, five. I forget what it was. It was two, five, seven, four. No, that wasn't seven, four. Seven, two, I think, or something else. Let's go three, two times seven, four, something, something. One, two. One, two, right? No, that was too big. I think it was only three numbers we had, four, two, I believe, right? I'm pretty sure about these two numbers are up. Okay. Now, if you have a three digit number multiply, sorry, four digit number multiplied by three digit number, this is what you do and this is the process that you do for any digit number multiplied by any digit number. And before we do this one, let me give you a quick little, and first of all, you need to know your 10 by 10 multiplication table. So if you don't know it, learn it. Your 10 by 10 multiplication table, learn it. One, two, three, four, and then one, two, three, four. Learn your 10 by 10 multiplication table. It will save yourself a lot of time, a lot of headache. Okay. Really essential. If we're doing this type of multiplication, I'm assuming you know your multiplication table and we have a full blown video out there, ASMR math video out there, talking about the multiplication tables like an hour long or 40 minutes long or something like this of how to, I don't even know if it's about memorization. It's basically putting it into your algorithm, your program to be able to know how to multiply, right? Seriously, I can't emphasize this enough. The first thing I tell all my students, learn your multiplication table, right? M-I-1-3-5. Thank you very much for the Twitch Prime sub. Okay. Really gang. Just go Chicho multiplication table. Okay. The video will pop up. Learn it, learn it, learn it. Okay. Now, just imagine if we're multiplying three, four digits with three digits, but before we do that, let's do two digits by one digit or two digit by two digit. So you see how the process works. All right. So here's question one, but let's do a simpler one first. Let's go, let's do question two first. All right. Let's assume we had two, five, three. Actually, let's go two digits, two digits times two digits, right? Math is good, but a plus b equals c is hard. a squared plus b squared equals c squared. Kenny, Kenny Roberts. Are you talking about Pythagore theorem? Exponents kicks it up a notch, but we'll talk about it. If not in this live stream and in another live stream, if we're going to build basic algebra as uncharted ace wants, we'll get into exponents maybe even in this one, right? So if we're multiplying, you'll line them up again on top of each other, just the same way you did addition, subtraction. But with multiplication, it really doesn't make a difference if the smaller number off the top or the bigger number up top. Ideally though, put the bigger number up top, right? 25 times 12. With multiplication, what you do, you do this. You go this multiplies all the digits there and that multiplies all the digits there. So two times five is 10. You put the zero here, you put the one up top. If you get any number above nine when you're multiplying two numbers together, the 10th value kicks up, right? Two times two is four and then you add the top number, which makes it five, right? Now think about this. What's two times 25? It's 50, right? But you're doing it piecemeal. And then you move on to the next number, one, right? Now if you're in this position, and by the way with multiplication is ridiculous, addition and subtraction, it's ridiculously important to line things up properly. Mathematics is about symmetry, really. Line things up properly. That's the way mathematics was developed to be extremely visual. Any language is very visual, right? So someone, if someone asks you to spell the word apple, right?  That way that person can read it, right?  And we come up with languages to help us to process things faster, to retain information, right? To be able to make connections. So you want to make it easier for your mind to be able to do things instead of harder for your mind to be able to do things, right? Keep this in mind. I've seen a lot of people do a lot of mathematics where they're extremely messy. It's the equivalent of writing apple in that chaotic way. It's like no, no, no, no. First order of business, learning multiplication tables. Second order of business, tighten up your work, right? Line things up properly. When you line things up properly, we've already done the two multiplication. Now we've got to go to the one. And as before, this number multiplies that number and that number. But because this is in the 10th position, when you go one times five, you don't put it here, you put it here. And that's a five. And what people usually do, you add a zero here. Okay. Just to remember that you're starting in the second position, right? So one times five is five. There is no carryover. So this one is no longer there. You have to make a mental note of that, right? And then one times two is two. And then you draw the line. And what did we say? Multiplication is really addition. And the addition does come into play in multiplication. Here, when you get down to this level, you're at these numbers. Zero plus zero, zero, five plus five is 10. You put the zero here, carry the one, and that's three. So 25 times 12 is 300. Okay. Let's do the bigger number. Two, five, three, two, times seven, four, two. Same process. Okay. Two times two is four. Two times three is six. Two times five is 10. You put a zero and carry the one. Two times two is four. Add the one you get five. Is that cool? The process is the same, right? I'm just doing it a little bit faster, right? And then you move on to the four. But this isn't really four in terms of value. It was 40. It's in the 10th position. So because we moved here, you line this up, when you multiply the four times two, the result comes here. But when you moved over one, put a zero there, put a place marker there so you know where you are, right? You don't want to, when you're doing mathematics, when you're doing algebra, you want to reduce the amount of information you have to retain in your mind. So I always say use the pen and paper as your assistant, right? Make notes on the sides of whatever it is that you're doing, if you need to remember where you are and what you need to do next, right? Putting a zero as a place marker guarantees that you don't make a mistake to go four times two is eight and put the eight there because that's already taken, right? So four times two is eight. You put the eight here. Four times three is 12. You put the two here and you carry the one. Four times five is 20. At the one, you get 21. And then you carry the two on top, right? Because the one is gone, right? Four times two is eight. You add the two, you get 10. Cool? Now, we're into the third number. Well, if we're into the third number, that lines up here. This and this are going to be zero. Then do your multiplication. Seven times two is 14. You put the four here. You carry the one. Seven times three is 21. At the one, you get 22.  Seven times five is 35. At two, you get 37. Seven and you carry a three. Seven times two is 14. At the three, you get 17. And then what do you do with these numbers? Ideally, ideally, you're lined everything up properly. Really, lined everything up properly, gang. It's visual. Mathematics is visual. People, I've seen people do this. When they're doing this part, they got five, four, here, five, zero, six, four. And then they got zero, eight, two, one, zero, one. And then they got zero, zero, four, two, seven, seven, one. How are you going to add this? Really? How are you going to add this? If you need to add these guys, it's the same numbers.  Man, that's a nasty way. Your mind just becomes confused. When you draw the lines, it's pretty straightforward, but you're not going to sit there and draw lines to line things up all the time. What you need to do is line it up right off the get-go. Four plus zero plus zero is four. Six plus eight is 14, and that's a zero. It doesn't change anything. So 14, you put the four, carry the one. One plus zero is one, plus two is three, plus four is seven. Five plus one is six, plus two is eight. Zero plus seven is seven. One plus seven is eight, and that's a one. 2,532 times 742 is, you can put a little commas here if you want to be able to read it properly, 1,878,744. Easy peasy. Now, what if this had decimals? Let me take these off so we don't get them confused as decimals. What if this had decimals? Okay, what if this had decimals? Let's assume this guy had decimals. When you're multiplying numbers, you don't have to line up the decimals the way you did when you were adding numbers. When you're adding numbers, you need to line up the decimals to be able to add them and subtract them. You need to line up the decimals when you're subtracting numbers. Remember, the bigger number always on top. Keep a mental note. Which number was negative? If the bigger number was negative, your answer is going to be negative. If the bigger number was positive, your answer is going to be positive when you're subtracting numbers. If you have decimals in your multiplication, you don't need to line up your decimals. You just add the total number of decimals at the end and place them there. For example, what if this was 2.5 times 1.2? This was 2.5 times 1.2. They'd line up, but that doesn't matter to us because we're not lining up the decimals. What we do is we add the total number of decimal places we have. Now, this confuses some people. When I say you add the total number of decimal places you have, you're starting off at this location, the position where you're right beside the ones, and you're going, okay, if the decimal was there, that's 1, that's 2 decimal spots, so you add 2 decimal spots. So 2.5 times 1.2 is 3.00, which is just 3. Let's add the decimal spot. Instead of adding it here, let's add it here and here. So how many decimal spots do we have? If it's 0.25 times 0.12, we have 1, 2, 3, 4 decimal spots. Over here, we multiply them without the decimals. We don't care if we take these decimals away. Then we have 4 decimal spots, so we start off where the decimal is. It's an invisible decimal. Then we go 1, 2, 3. We don't have any more numbers, but we do another jump. We put the decimal there. If we have any blank spots, we put 0s. Okay, so 0.25 times 0.12 is 0.03, and you don't need these two decimal spots there, because 0s after the last digit in a decimal is unnecessary. So let's add decimals here. Let's assume this was 2.532 times 7.4. So we don't need to redo our multiplication. We don't, because we didn't have to line up the decimals. If we're lining these up if we're adding, then this would have been 2.532 plus 7.42. You line them up, right? But that's not what we're doing. We're multiplying. If we're multiplying, we multiply the numbers as if there was no decimal, and then we count the number of decimal places we have. Total. Let's check it out. 1, 2, 3, 4, 5 decimal spots. Right? So we start off where the decimal place is, so we go 1, 2, 3, 4, 5. 2.532 times 7.42 is 18.78744. Is that clear? Does that work? I hope so. Does that work on charter days? And anybody else? Any questions regarding this? Yes, that is a massive help. Awesome on charter days. Thank you very much for the Follows Gang Square 1996 and those of some other Follows that pop through, but I didn't want to break the train of thought on there, so appreciate the Follows Gang. Let's go to dividing. Once we do dividing, we're going to go to return on investment in personal finance so we can set up our work that we're going to do when we talk about investing in comic books in four days. Nice. Let's do division. Let's do division. Very nice. Division is just an extension of multiplication, which is an extension of addition. So they teach you everyone. They even taught me. This is the way they taught me. They said this is addition, this is subtraction, this is multiplication, and this is division. What they didn't tell you was all of these things are really just addition. Subtraction is just adding negative numbers. Right? Multiplication is just multiplying, adding the same number multiple times, and division is the flip of multiplication. Right? Because for everything you can do in mathematics, you can undo almost. Okay? That's not the way it works in the physical world. Try to break a glass cup. Right? Very difficult to put it back together. For everything that is done in the material world, you can't necessarily undo. In mathematics, it's beautiful. You can almost undo everything that you did. I have forgotten everything in mathematics almost. Micro twist. I was good once upon a time. I'm horrible. Brother or sister or micro twist. One of the reasons I got into teaching tutoring mathematics was because I was very disappointed that I forgot a lot of mathematics that I had already learned. So I got into teaching mathematics as a hobby to relearn my high school mathematics, because I really didn't want to lose that power that I had. It's like practicing a natural language that you might know if you speak more than one or two languages. Right? You need to practice it to retain the ability to speak it. So I got into tutoring mathematics to make sure I don't forget how to do my mathematics, because I knew it was ridiculously important in the real world. Right? Craft or how are you doing? Welcome, welcome. Now, let's do division. Division, division, division, division.  I go through periods where my spelling is good and my spelling is bad. Woke, J, lad. Woke, Woke, Woke, how are you doing? Division. Let's assume we have the following. And by the way, gang, division is really just about fractions. Right? But what I'm going to do right now is I'm going to teach you long division. Okay? Because fractions, when we get into fractions, we're going to talk about prime numbers. And prime numbers we're going to do in another step. I just want to teach you the process of long division right now. And the reason I want to teach you this is because a lot of people say, oh, you don't need to learn long division. And a lot of, a lot of teachers actually, you don't need to, a lot of math, a lot of people to do what you don't need to learn math, long division. I'm like, dude, learn long division. It's an exercise for the mind. It's good for the brain. It's like doing pull-ups and chin-ups. Okay?  And my teacher said, I can't let you pass. You haven't done anything. Okay? I said, if I do the entire book and pass all the tests while I pass, yes, he said, I finished the entire mathematics, a book in one month and pass all the tests. Yeah. And if you're in school and if you've been through school, you know that they take 10 months to teach you some things in their earlier years, things that, especially in mathematics, right? That you could probably do in a month, right? In grade 12, they take you, they take about 10 months to teach you something that you could learn in about two months. Okay? So if you're bunkered out and, you know, there's pluses and minuses of going to school, there's social activity, this, that, that, that, that, that, all that jazz. But if you want to go through schooling, education, your basic education, speedy Gonzales style, just look and teach yourself, educate yourself. You can go and challenge tests and get stuff done, right? And gang, don't forget, Frisage, Frisage, Frisage. Julian Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capitalist power to humanity. For more information, see wikileaks.org or check out our Julian Assange and WikiLeaks playlist on SensorTube. Let's do long division. Let's do something we had this. Two, five, three, two, over seven, four, two. We wanted to divide these two numbers. Okay? And I'm going to do the basic long division right now. We're not going to go into the other more intricate stuff that can happen. It's because as long as you've got the basic long division down, you're money, right? You're gold. If you're going to do this, the way you lay it out, and again, mathematics is very visual, lay it out. And actually, I should do a simpler number first, by the way. Let me do a simpler number first. Let's assume, so this is one, let's do question two first. What did we have before? 12. I want to do two, five, three divided by four. Let's do that. Okay. So 253 divided by four. This is the way you lay it out.  Laying down L with the pointer sticking down. You put the four on here. You put the two, five, three here. Okay. Give yourself enough room. And when you're laying down the work, again, talking about Apple, if you're going to write the word Apple, you're going to write it like this. You're not going to go forget about the chaotic letters all over the place. You're not going to go like this. That's just hard to work with Apple, right? Be consistent in the spacing of the letters you put down. Be consistent in the spacing of the numbers you put down. So you give yourself enough room to maneuver, right? You want to be able to do things in there. You don't want your numbers to be staggering at different lengths and different spaces, right? You don't want to go two, five, three, two. You don't want to write 2,532 like this. It just doesn't, because when you're trying to even add, what are you going to do? You're going to put your seven here and four and two here. But why would you do that? Right? Be consistent. Make it easier for yourself, right? This is how you do long division. You look at this number and you're dividing this into this whole thing. So you look at the first number. You go four. Does four go into two? Does four go into two? Four is bigger than two, so it doesn't go into two. So if it doesn't go into two, you can put a zero there, but you don't need to. You just go to the next number and you put those numbers, two numbers together, and you treat that as a 25. And you ask yourself how many times does four go into 25, right? Six times. So what you do is you put your six above the five because you're using these two numbers, right? So how many times does four go into 25? Six times because six times four is 24. So what you do as soon as you put a number up top, you bring this guy and you multiply these two numbers and you put the number there, okay? And what you're going to do now is subtract this number from that number. So minus five minus four is one and two minus two is zero and you don't have to put the zero down. And then what you're going to do is you bring the three down. So as soon as you get down to this number, if this number is bigger than that number, you did something wrong. You didn't take this one high enough, right? Let me show you how that works just before we move on anymore. I'll put those numbers back up again, right? Let's assume you didn't know your multiplication table, right? And you ask yourself how many times does four go into 25?  Again, learn your multiplication table and make your life easier, right? Let's assume you didn't know your multiplication table, you ask yourself how many times does four go into 25? Five times, right? You go five. Five times four is 20, you put the 20 here, and then you subtract these. Five minus zero is five, two minus two is zero. You got a five here, but four still goes into five. So you have no need to bring down another number. So you just broke the vision, right? You don't, you can't proceed here, because that number is bigger than that. So what are you going to do? You can't go, oh, four goes into five ones, but where are you going to put the one?  You haven't gone to the next one. So now you got to go plus one here.  And then this is now six. Oh, confusing, confusing, confusing. You got to take it to the max right off the bat, right? Know your multiplication table. How many times does four go into 25? Six times. Six times four is 24, subtract. Five minus four is one, two minus two is zero. Four doesn't go into one. That means we got as close as we could go without going over 25, and you can't go over this number, right? Now you need to borrow a number. Bring the three down. Four goes into 13. How many times? Four goes into 13. Three times, right? Three times four is 12. Cool, right? You subtract these numbers. Three minus two is one. One minus one is zero. You're done. You don't have any more numbers here. So this is what you could write down right now. You could write down 253, 253 divided by four is equal to 63, and the remainder is one. Some people write it like this, with the remainder of one. That's when they're just teaching you at the beginning stages. Yo, Graham, how you doing? That's at the beginning stages of learning division. You learned this in the first few weeks, a couple of months, and then you don't do R1 again, right? Or you can go at 63, and one is left over. One divided by four. So 253 divided by four is 63 and a quarter, which basically means five. How you doing? Which basically means four goes into 253, 63, and a quarter times. Now if you want to represent this as a decimal, this is what you do.  Poop, right? There's something we can do though. We can take, we can put a decimal here, and as soon as we put a decimal there, it's sort of like putting a decimal here, right? And as soon as you got a decimal there, you can just add a zero, because a zero after a decimal really doesn't change anything, right? So there's a decimal here now, you can bring the zero down. Four goes into 10 twice. So you can put your two up there. Four times two is eight. You subtract, you get a two. Well, four doesn't go into two, but we already placed our decimal, and if we're in a decimal position, right? Then you can add one zero for every time you reach the spot, the bottom part, okay? So you can only do it once per rotation when you hit here, right? So the zero comes down, and you ask yourself, how many times does four go into 20? Well, four goes into 20 five times. Five times four is 20.  Once you get zero, that was it. This thing went out of focus. Let's see if it'll come back. It came back. If you want, here, let me do this. Let me write this clear so you see the process, right? So we're at 20. Five times four is 20. Subtract, you get zero. Once you get zero, that's as far as you've got. You've gone. You don't need to go anymore. So 253 divided by four was 63 with a remainder of one. That's where, if we stopped at this position, or 63 and one over four, or 63.25. Okay, that's what it is. Now, let's go do this. Any questions about this, by the way, on charter days or anyone else? Okay. If not, we're going to do the long division for this. Let's check this out. Seven four two, and we're going to divide that into two, five, three, two. More difficult. More difficult division, no doubt, right? But you're going to ask yourself, how many times does 742 go into two? Well, it doesn't go into 25. It doesn't go into 253. It doesn't. 742 is bigger than 253. So you've got to go all the way in, all the numbers, right? How many times does 742 go into 2,532? You can do approximations, right? Forget about the 32. Just call this 2,500. You want to get close, but without going over. You can call this 750. How many times does 750 go into 2,500? Because if you're kicking this down by 32 and kicking this up, you might go over, but at least you're going to get close. Three times. Let's check it out. So Laugh Out Loud Tony says three times. How many 742s are there in 2532? Laugh Out Loud Tony says three. So we're using all of these numbers. So the three we're going to put on top of here, and we're going to multiply three by this. Three times two is six. Three times four is 12, two and a one. Remember, this is like doing multiplication, but on top of each other, right? 742 times three. Three times two is six. Three times four is 12, one. Three times seven is 21, 22. So this is two and two, right? Now just for the exercise of it, just for the exercise. Now I'm not going to do the multiplication like this anymore. We're just going to do it here. Let's assume you went over, right? You picked too big of a number, right?  Let's assume you picked too big of a number. Let's assume you picked four. Four times two is eight. Four times four is 16.  Four times seven is 28 plus one is 29. And then you've got to subtract this, but wait a second. 2,968 is bigger than 2,532. You're not going to do that. It's too big of a number. It's like prices, right? You went over. Oops, right? So if you went over, depending on how much you went over by, you might have gone over by a lot. In this case, we only went over by one, so we're going to kick it down to three, right? And if you go down to two, right? If you thought it was twice, then the number when you subtract it was going to be bigger than this number, and then that doesn't work because we already talked about it, right? So it's three. Three times two is six. Three times four is 12 and a one. Three times seven is 21 plus one is 22. Subtract. Now you're doing subtraction. Two minus six. Well, you can't take six away from two, so you borrow one from the three. Turn the three into a two. Oops, into a two. That's another reason you're going to give yourself space, right? Because you're going to be doing things inside here. So that's a two, and a 12, two becomes a 12. 12 minus six is six. Two minus two is zero. Five minus two is three, and two minus two is zero. So we're out of numbers, right? This doesn't go into that, rightfully so. So right now we could write our answer like this. Two, five, three, two divided by seven, four, two is equal to three. And because we don't have any more numbers to bring down, 306 over 742. And you can reduce this fraction, by the way, and we could have reduced that fraction as well, but we're not dealing with reducing fractions yet until we get into fractions on prime numbers, right? So that's one answer. And again, you can reduce that fraction. Two goes into both of them, probably more. Now what if you want it as a decimal? As a decimal, we don't have any more numbers to bring down. So we're going to put a decimal here, and we're going to add a zero here, so we can bring it down. Now you ask yourself, how many times does 742 go into 3060? Well, we already multiplied it by four, so we know what that came out to 29,000, or 2900 something. So we know it's going to be four. Four times two is eight. Four times four is 16. Bring the one up. Four times seven is 28 plus two is 29. Zero minus eight, it doesn't work. Convert this to a five, make that a 10. 10 minus eight is two. Five minus six, it doesn't work. You got to borrow one from the zero, but you can borrow one from a zero. Zero doesn't have anything to give you, right? You got to go to the next one. So you're going to borrow one from the three. Three becomes a two, gives one to the zero. Zero becomes a 10. Well, now you can borrow from the 10 to kick the five and the 15. So 10 becomes a nine, and the five becomes a 15. 15 minus six is nine. Nine minus nine is zero. Two minus two is zero. But you don't need the zero and the zero. It just confuses things, right? Take it out. Take it out. Right? Well, we did it right because 742 doesn't go into the 92. Okay. We're on this side of the decimal location, right? So that means we're going to add a zero. How many times is 742 going to add the zero here? 920 once. Dolphin, how are you doing? You're going to put a one here. One times that is just 742. Again, you're subtracting. Zero minus two doesn't work. Borrow one from here. This becomes a 10. 10 minus two is eight. One minus four doesn't work. You borrow one from the nine. Nine becomes an eight. One becomes an 11. 11 minus four is seven. Eight minus seven is one. Cool. 178. What do we do? Borrow another zero. Add another zero. How many times is 742 going to 1, 7, 8, zero? Twice. We'll put a two here. Two times two is four. Two times four is eight. Two times seven is 14. Subtract. You can't take four from zero. You borrow one from the seven. This becomes a 10. 10 minus four is six. This is a seven. Seven minus eight doesn't work. You borrow one from the seven. Seven becomes a 17. 17 minus eight is nine. Six minus four is two. 296. Cool. Should we continue? You can borrow another zero. Zero. Oh, so close. Look at this. 2,960. This is 2,968. Well, we know it can't be four because four will be too high. Right? So how many times does 742 go into 2,960? Three times. Three. Let me put a barrier here. Three times. That is the same thing as this. Two, two, two, six. Subtract. Six becomes a five. That becomes a 10. Four, three, seven. Oh, so close. No cigar. Right? And so on. Right? And you can do this until you find a pattern. Right? Or if they say, hey, they want the answer to this to two decimal places. If they want the answer to this, you put a little approximation sign. You go 3.4 Two decimal places. If you're going to round to two decimal places, you go to the one afterwards. If that number is five or more, you round up round the one to two, but it's not. It's two. Four or less, that remains the same. That's the decimal version of that. Does that work? I hope that's clear. I understand it, but we'll need to practice it. Yeah. With long division, it takes practice because it incorporates everything. Right? You're doing multiplication and you're doing subtraction, which is really addition. Right? Square, 1996. The unique thing why I love math is answer is always the same, but the path is different to achieve it. That's where the fun is. Yeah. A vidic math freak. And there are multiple ways to get to the same answer and multiple ways you can manipulate numbers to give you a certain perspective and a certain situation, which shines a light on certain things. And we're going to talk about this tomorrow, by the way. Okay. This week, we're doing a lot of mathematics. We're going to do math tomorrow in a big way. Right? Where I'm going to give you a grand picture of how global economics works really in relation to geopolitics. And we're going to just look at the mathematics. Well, we're not just looking at the mathematics, but we're going to look at it from a non-judgmental point of view and just talking about profits and whatnot. And on Thursday, we're going to do something we're about to talk about right now. There are some numbers that are never meant to be divisible, like you, will be in an endless loop. Yeah. Continues on forever and ever. And if you find a pattern, right? Let's assume the next number is whatever it was. What would that be? That would be a nine. Let's assume here. Let's assume you're doing a division. You get this 3.41414141. You continue to get 414141. Well, the mathematics, you don't need to write it all that way. What you would do is whatever that was repeating, you put a line over it and say that number repeats or that pattern repeats. Right? Dolphin, the path is important in computer science because you need to use the most efficient algorithm to have the fastest software. Yeah. I mean, just think about games from Sega Genesis or NES and stuff like this. What was the bits that they were able to put so many different levels in? The memory, the small amount of memory they used up for color, for texture, for the levels, for sound, to save your thing, in sanity. They were able to do some brilliant work using so much, so small of a space. Right? Now, gang, there's something we're going to do on Thursday, which is we're going to look at, we're going to talk about investing in personal finance, and it's in relation to investing in comic books. It's a work of art. It's a work of art. Mathematics came out because people were sitting there trying to figure out how to understand the world, and all of a sudden they saw patterns and they come up with symbols to represent things.  Right? They were going, okay, add seven plus four. Right? Oh my God. Such a long way of saying seven plus four. So someone at some point came along and said, you know what? Add plus is redundant. Make that symbol right there. And the seven and four, let's just use Arabic letters, I guess. That's what they're called, I believe. Right? Now, take a look at this. I graduated last year. Ah, congrats on trying to this. Good to be out. Now, gang, there's something we're going to do on Thursday, and it's in relation to personal finance and investing, and it's going to link up with ASMR mathematics and our comic book stuff that we've been doing for the last six, seven years. Right? And what we're going to do, I've already started making the spreadsheets. We're going to take a look at the first comic book haul I did, and we're going to take the price of the comic books that I paid, and I've already created four different tables where we're looking at what the comic books are selling for on eBay right now, looking at three other websites that are guides as well as retailer that are selling comics, and we're going to take a look at return on investment. Right? Which is something you need to do. And to calculate return on investment, all you need is addition, subtraction, multiplication, and division, and really just subtraction and division. Right? So I want to make a little short segment from this. Now, since this is going to be a little short segment, I don't think I've done this in the Math Drop and Tutors essentially before. I'm going to pretend that we're just about to start the video again. I'm going to do a quick little intro, and I'm going to give you guys a quick lesson on return on investment and compound interest. I'm excited for that stream. It will be so neat. I've been looking at the numbers. So cool patterns popping up. Loving it. Loving it. I spent a little bit too long on the computer, but just so you guys know, gang, I'm going to link this up to you guys in chat. We're going to talk about compound interest, something that I've talked about. Okay. I've already put out a video, and we're going to talk about return on investment. And the compound interest video that we put out was basically maximizing revenue question. And the return on investment, ROI, that we talked about is basically us taking a look at US dollar versus Canadian dollar versus Bitcoin, the price fluctuations. And we put this out in 2018. Okay. Just so you know what it is that we're about to talk about. Aside from that, let me have a little sip. And I'm going to do, and this is going to take like 15 minutes maybe. Okay. Because we've done the basic algebra, we should be able to do this. We haven't done the exponents, but we will get to it. We've done the exponents in previous math videos we've done. Okay. Now, hi, everyone. This is Chicho. Welcome to my channel and welcome to another live stream, which is actually sort of a little segment that we're doing that we're doing this as a restart in a math tutoring session, drop in math during session number 70 that we're doing right now. And I'm just doing this little segment because we're going to need this information for videos that we're about to do regarding investing in personal finance, specifically investing in personal finance and comic books in relation to calculating return on investment and annualized return on investment and extrapolating that into the future. Okay. And just so you know, if you want to follow this work, I am on Patreon, Patreon.com, slash Chicho. If you want to know what this work is about, which is basically layered on mathematics, almost everything that we've done over the last 15 years is being linked up through the realm of mathematics. And this is one place we're taking the next step when it comes to the comic book videos that we've put out, right? So if you want to follow this work, you can follow this work on Patreon, I don't put anything beyond paywalls, everything's creative comments, share and share, like if you believe that this work deserves your support, supporting this work through Patreon is a fantastic way to make sure we continue to produce what it is that we are producing. And for those of you that was supporting this work on Patreon, thank you very much for the support. And that little zombie that just popped up, we are live streaming on Twitch, twitch.tv forward slash Chicho live, C-H-Y-C-H-O-L-I-V-E. If you want to participate in these live streams in the chat, let's go to pop up here, Twitch is where you want to be at. And for those of you who've been participating in these live streams, dropping in these live streams, subscribing, following, sharing, commenting, mods for being here, thank you very much for the support. Hi, I'm Chad, there's Dolphin mentioning where the chat shows up, okay? And aside from that, we have a whole bunch of places, platforms that we share information, mines, Gav, VK, a little parallel Gav, Twitter, we do have a Discord page, we do upload audio to SoundCloud, which should be available as a podcast on Spotify and iTunes, and we are uploading to SensorTube, BitShoot and Rumble. And if we have enough points, we do upload to Odyssey as well. Aside from that, let's get to this little, little teeny weeny bit of segment that we're about to do in this drop in math tutoring session number 70. And this video is related to a couple of other videos that we put out in a few years ago. One of them was a maximizing revenue question, which is related to compound interest, right? And I'll provide the links in the description of this video. And the other one was a return on investment sort of calculation video that we put out in ASMR Mathematics, and they were both ASMR math related and personal finance investing economics related. And that video regarding return on investment was basically us taking a look at the movement in relation to US dollars, Canadian dollar versus Canadian dollars versus Bitcoin, because there was a lot of fluctuation happening during the cryptocurrency period at the time. And people were sort of freaking out regarding the drops in the movements up and down and stuff like this. And we sort of did a little bit of calculation and showed that even in currencies of countries, specifically Canadian dollars versus US dollars, there was a certain five-year period there where US dollars lost 40% of its value relative to Canadian dollars. And that was sort of in relation to how Bitcoin was moving at that time, right? So return on investment is really relativistic depending on what time frame you're looking at, right? Now let's do this little explanation of where return on investment is. And return on investment is basically us trying to figure out how much money we've made regarding a certain type of investment that or bet we might have placed in certain markets, right? And the formula is really straightforward. The formula is the present price of something that you might have bought minus the price paid for whatever you might have invested in, right? Price paid divided by price paid. Now this formula flips depending on, you know, what people are talking about what they refer this to. And we multiply this by 100 because we want to represent it as a percentage because we want to talk about this thing as percent growth, right? Now what you could write this as price, this shouldn't be under price paid, right? There's no fraction there, right? Some people say refer to this the price paid as original price, future price, right? Present price or minus original price, however way you want to look at it. But the best way to understand how this formula works is just use it, right? So let's assume we have the following example question, right? Or example number one. Let's assume you bought, you bought, bought an item, an item at let's say $50, okay? Present price, price of item is now $125. What is your rate of return, right? Is $125. Present price of item is this much now, right? What is your rate of return, rate of return, R-O-I, rate of return, right? Rate of rate of return, R rate of investment. Well we call rate of return by rate of investment, basic investment. Present price is $125, $125. Price paid was $50, divided by price paid $50, times 100, and I usually don't include the times 100, we get the decimal and we treat that as a percentage, we convert it to a percentage, which basically means moving over the decimal place to two places. But you can put times 100 and you got to remember that you're in percentages, right? So this becomes 125 minus 50, 75, 75 over 50 times 100, right? Now we need to do this division. Now before we do this division, we can simplify this, right? What number both goes into 75 and 50, right? And we've talked a lot about simplifying fractions in series two of the language of mathematics, right? Well 25 goes into 75 and it goes into 50. How many times does 25 go into 75? It goes three times. How many times does 25 go into 50? Twice, right? So this is really three over two times 100, right? Well three divided by two is 1.5. 1.5 times 100. So when you multiply 1.5, five times, when you multiply 1.5 times 100, how about that, Tony? 1.5 times 100 is 150 and remember we're talking percentages, that's your percent, right? That's your rate of return, 150 percent, right? What does that mean? It means if you invested 50 dollars in something and sold it at 125 dollars, you had 150 percent return on your original investment, right? You made 100 percent, which is your 50 dollars plus 50 percent more. 50 percent of 50 dollars is 25 dollars, so 50 plus 25 is 75 dollars, which is what we had, 125 minus 50 is 75. So you made 150 percent return on your original investment rate of investment, right? ROI, rate of return, I guess. I call it rate of return, but they call it rate of interest, rate of investment. Is that clear? That's what ROI stands for, return on investment. So not rate of investment, return on investment. Let's call this correctly, right? Return on investment. Return, now keep this in mind. So let's assume you bought an item at 50 dollars, a year later, your item was worth 125 dollars, right? Calisthenics, hey Chico, this isn't really related to the current stream, but I wasn't able to catch one recently. A while back in the stream about movies you talked about, a history of violence. I bought it on Blu-ray, but didn't get to watch it yet. Oh dude, you're going to love it. You're going to love it. Beautiful movie. So let's assume we change this question or add a second part to it, right? I'm going to erase this part. So the answer to the first part, you bought an item at 50 dollars, present price is this. Your return on investment, question one would have been what's your return on investment, question A. So I'm going to erase the top as well. Let's erase this as well. I want to copy this up here and we already answered the first question, right? Question is you bought an item at 50 dollars. Present price, present price, I'm going to add a little caveat in there. Present price, a year later, a year later is now 125 dollars. Okay, let's modify the question a little bit. Question A was, A was, what is your return on investment? And we did the calculation, we got 150 percent because this is what we did. Return on investment was present value minus price paid divided by price paid times 100, which equals 150 percent. That's what we got, right? Here's question two, part B. What will your item be worth assuming you have the same rate of investment or return on investment, rate of return, return on investment, right? What would the price of your item be 10 years from now if you assume you're getting the same return on investment per year? What will your item be worth if your ROI stays the same? The same for 10 years, okay? And this is your compound interest formula. Compound interest formula says this, A is equal to P1 plus R over NNT, right? That's how much money you're going to have. This is how much money you started with. R is your interest or return on investment. This, N is the compounding period. That's an N, that's an N, and T is the time period in years. Now we're not going to be compounding per year. If you want to know what the compounding means, reference the video that we're going to link up in the description here. So we're just going to simplify this equation to R and T. If that's the case, then this is what we do. We start off with $50, right? And we're going to assume cumulative 10 years from the time we bought it, $50, not from 125, right? So our original investment is $50. One plus our rate of return or return on investment is 150%. Now percentages, you really don't use in equations as percentages, you need to write those as decimals, right? You got to get rid of the percent. And if you get rid of the percent, 150% is 1.5, right? Okay, let me make the decimal bigger. So this becomes 1 plus 1.5, 1.5 to the power of, and this is exponents, right? We've done a lot of work on exponents before, 10, because we're going to look 10 years into the future to the power of 10. So this is going to be 50, 2.5 to the power of 10, right? Let's see what our $50 is going to be now. It's going to be huge. Now I'm just going to bring out my calculator on my 2.5 to the power of 10. Wow, times 50. Wow, that's a lot of good hard-earned money at 150% return. You're going to have four, seven, six, eight, three, seven, thousand dollars, right? That's crazy. That's a lot. That seems a little too high for me. Is that true? Is that true? Wow, we can do a check, right? We can do a check just straight up, right? We started off with 50. We're looking 10 years down the road, so all we've got to do is multiply this by 1.5 10 times, right? So manually, you can check it. You could go 50 times 1.5. Oh, wait a second. 75, 75. Oh yeah, and then we're going to add it, right? Because your original investment is there. So it's times 1.5 plus your original investment, which was 50, which kicks it up to 125, right? So it's not just multiplying by 1.5. It's multiplied by 1.5 plus at the previous amount.  So plus 50, that's 125 times 1.5. You get 187.5 plus 125, because that's what you started off with. So now your money here would be 212.5, right? Now you've got to multiply it by 1.5 again, times 1.5, which is 31875 plus, what was it? 212, 212.5. Now you're at 531.25. 531. Do this 10 times. You get this, right? Nice. Nice. If only you could find a place where you can invest your money that is grown at 150% per year. That's pretty sweet. That's pretty sweet, right? Now that's the other calculation that we're going to be doing when we're looking at personal finance, investing, and return on investment in comic books or collectibles, how you do those calculations. Now there's another calculation that you can do. What if this return wasn't over a one-year period? What if this return was over an extended period, and you want to figure out what your annualized rate of return was? So you could actually do this calculation and look into the future, right? Let me explain to you what I mean here. Okay. Take a look at this thing. I'm going to take this guy down. Watch this. I'm going to take this whole thing down. Now what if, instead of using words, lots of words, I'm just going to draw little arrows and stuff, there are loan sharks who charge these kinds of rates. Yeah, indeed, they're credit card companies. Take a look at this thing. What if, what if you invested $50, right? And the matter of, the matter of six years, now the reason I'm using six years is because our first comic book haul that we did was in 2015, the video that we put out in February 2015, and we're in February 2021 right now. So six years have gone by and I've put the spreadsheet together and it was a six-year calculation where we had to figure out what the annualized rate of return was, right? That's the formula. This is the process that we're using in the spreadsheet. So just imagine you invested $50 into something and that $50 turned into $125 in six years. Six years. Now what we have here now is, I should write these a little nicer, right? In six years. So six years later, six years, you get $125. It's still not bad, right? You consider yourself getting good returns if you're doubling your money every seven years. In six years, we've gone up 150%. But what we want to do, because if this was 2025, this is 2021, what if you want to figure out how much money you're going to have in 2030? How much will you have? How much will you have in 2030, right? This is sort of projecting, right? If you're doing your personal finance, if you're putting your money somewhere, you're getting a certain rate of return, right? Or return on investment, what you want to do is you want to do the calculus, extrapolate that out into the future so you know how much money you might have banked or how much money you owe someone if you're not banking it, you're paying it. Ouch, right? But to do this calculation, we need the yearly return rate. We need to know the rate of return, yearly rate of return, right? Annualized rate of return, because this is over a six-year period. So we want to know what the percent, the rate percent here is into 2016, right? On average, over a six-year period. So this percent, the R, is going to be the same for 2017, 18, 19, 20 and 21. Okay, clear? This is the way we do it. We use the compound formula again. Wow, wow, wow, right? Real world math. Elder God, how are you doing? Check this out. Our compound formula was this. The amount of money you're going to have is going to be your principal, P, what you started with in our case is $50, times 1 plus R to the power of T. T is your time, R is your rate of return, right? Or return on an investment. P is what you start with, A is what you have, or what you're going to end up with. Now, in mathematics, if you have one equation, you can solve for one unknown. If you have two unknowns, you need two equations. Three unknowns, you need three equations. Four unknowns, you need four equations. Now for us, take a look at this thing. We want to figure out what the rate of return or return on investment is going to be on a yearly basis, based on this growth, right? That happened over a six-year period. So what we're going to do is, we're going to put 50 for P, because that's what we started off with. We have the data for a six-year period. We know in six years, our $50 turned into $150. So this is 125. The time frame is 6, and R is what we want to calculate, right? So if we do this calculation, we can figure out what our rate of return is, or return on investment is, or the interest that we're getting paid back is. Let's do this. It's just straight up algebra, and this is about how to move around an equal sign. And we've put a lot of videos out on this stuff, right? So what you end up doing is divide by 50, divide by 50. That gets rid of your 50 here, your first trouble spot. Basically, to solve for an unknown, you undo what's being done to it, right? And if you do anything on one side of the equation, you've got to do it to the other side of the equation. That's the definition of an equation, right? So we do this. On this side now, we've got 1 plus R to the power of 6. This we already did. Well, what does this happen? What number goes into 125, and what number goes into 50? Well, 25 goes into both. 25 goes into 50 twice. 25 goes into 125 five times, right? Okay. Makes sense? So this is just 2.5. 5 divided by 2 is 2.5 is equal to 1 plus R to the power of 6, right? We still need to undo what's being done to the R.  So you've got to take care of the exponent first. You can't take care of the one. You want to get R by itself. That's the point of solving the equation. So what you do, you take the sixth root of this, right? The sixth root of this kills off the power to the sixth, right? So this becomes 1 plus R now, and this is the sixth root of 2.5. And then what you can do is grab the one and bring it over. So this becomes R. I'm just going to write R here because it's easier. I like my variables to be on the left side. R is equal to the sixth root of 2.5 minus 1. That's your rate of return. That's your return on investment. That's the R we're looking for. That's that R. Once we calculate that, we can calculate what our return is going to be in 2030. So all you got to do is punch this in. And by the way, this sixth root of 2.5 is 2.5 to the power of 1 over 6 minus 1. That's what it is, right? Because let me write this so you see it better. 6. We've talked a lot about exponents and radicals in previous videos, right? So 2.5 to the power of a bracket 1 divided by 6. Close my bracket. Equals that minus 1. We get 16. We got 0.16499. So you get, let me write this down, 0.16499, right? Now we're not going to go that many decimal places. We're just going to go 16.165. We're going to round this up, right? So this is 0.165, which is equal to 16.5 percent annualized return on investment, or rate of return, okay? Hello, Van James Bond, right? So your return on investment would be 16.5 percent per year, which is pretty good, very good, very, very good, right? So this is annualized, annualized return on investment would be this guy, right? Now all we've got to do is go back to this formula and punch in 50 year for a principle. I insert all that elegans, that's nice. We put in 50 year, we put in 0.165 here. What's the time frame from 2015 to 2030? 15, 15 years here and we'll know how much money our investment will be in 2030. So let's do it. Let's kill all these guys down here. Now we're coming back to this. B, oh, B is not that. The first part, by the way, if you're doing this on exam at school or anything like this, you wouldn't be erasing anything, you just continue your work, right? But we're at our space we need to erase. So your money that you're going to have at 2030, how much money you're going to have in 2030. Let's write this out. How much money you're going to have in 2030 is going to be how much you started off with, which is $50, one plus. What was our R value? It was 16.5, but you can't, 16.5 percent, but you're going to punch that in as 0.165, right? 0.165 and we're doing the calculation up to 2030, which is 15 years from 2015, right? So to the power of 15. Let's figure out how much money we're going to have with a $50 investment at a rate of return, annualized rate of return of 16.5 percent, right? Let's do this. Annualized rate of return or return on investment is 16.5 percent, right? That's what we're going to punch in. That's the number we're going to use. So it's going to be, oh, I was just going to use the calculator. So this is really just 50, 1.165 to the power of 50. Let's see what comic book we bought that's going to be worth how much. So 1.165, oops that didn't work, 1.165 to the power of 15 is equal to 9.883 times 50, which is $494.15. That's how much your investment would be worth in whatever item you bought at $50, if you're getting an annualized rate of return or return on investment of 16.5 percent. It's like saying that's how much interest you're paying paid per year over a 15-year period, if you had your investment for 15 years. So you almost made 10 times your money. Okay, cool. I must say the interest sucked. No, the interest is really good. 16.5 percent weighs this appreciation. Indeed, appreciation. Now, if you had borrowed $50 and you were paying 16.5 percent interest, that's how much you owed them in 15 years, depending on what you're buying, the borrowing, the money, right? I just wanted to cover that because this is going to be the formulas, the process we're using for the comic book videos that we're doing. Okay, that the tables that we've created that we're going to talk about in four days and this is what we're going to be referencing, generating tables for some, if not all, of the comic book haul videos that we've made because we're going to generate all the data and take a look at, because I've already started creating a table and it's really cool how some of the, you know, what's going on with the return on investment regarding some of the comic books, even for the same runs. So, I found that interesting. So, it'd be really cool to share that. Okay, gang, there's chat coming up. If only savings account had that rate. Indeed, Rami De Nozaurus. Hey, so my friend gave me a problem. You start with $500 on a row. You put spending on... Okay, I'm going to read these things. Sorry, I just forgot some things. Okay, we'll take a look at it. But let me erase this. Let me do my little quick outro of this, because this segment we're going to be pulling out of this live stream. So, gang, if you're watching this as a standalone for return on investment and rate of investment, return on investment, rate of return and stuff like this compound interest, which is going to be, this is going to be the video that we're referencing with comic book stuff, which again, there's two main videos that we have that will be in the description of this video. I hope you found it useful. We're going to be adding more formulas to the spreadsheets and doing more calculations. But for now, this is pretty cool, because at some point we're going to start graphing the data and see what's going to happen over time regarding some of the comic books that we've bought and previous comic book calls. And if you want to follow this work, if you want to support this work, we are on Patreon. And if you want to be here live during these live streams, participating in discussion, Twitch is where you want to be at. We do announce these live streams 30 minutes before we go live on Mines, the LOVK Gap, Parler and others back online. And Twitter, we do have a Discord page. You can find that multiple links all over the place. Audios, we upload to SoundCloud. And this video will be uploaded to SensorTube Rumble. And if you have enough dough, we'll upload it to Odyssey as well. Aside from that, I'm going to go back to the chat. Thanks for watching this little short segment. Okay gang, so what's this problem we're dealing with? Thanks for watching that, by the way, being patient for that. It's pretty useful, very handy. It's what they should be teaching in every school, but they're not. Unfortunately. But I bought GME. I don't have six years. Oh my, we talked about GME. Hey, so my friend gave me a problem. You start with $500 on one row. You put spendings and on the other, you put remains, spend $200. Remains $300. Spend $100. Remains $200. What? Spend $50. Remains $50. Spend $50. Remains $0. Why the remain, why the remains is $550? I don't understand the problem, brother. Or sister, of course. Can you send photo? You can only post the images on our Discord page. You can't do it here. So you put $500. You put $500 on a row. You put remains $200. You spend $200. $300 remains. Spend $100. Okay, so hold on. Let's do a visual of this. Let's do a visual of this. Let's do a visual of this. So are we going to go down? Let's go down instead of up. You can post photo on Discord. Yeah, you can post photo on our Discord page. And our Discord page is here. And we do have a math folder, by the way. This. There's our Discord page. Okay. And we do have a math folder. Well, I think I understand the problem now. So you have $500 here. This is how much you're spending. Spend. Okay. So let's do it like this. So you took $500. You spend $200. You got $300 left. And then you spend $100. You have $200 left. And then you spend $50? I posted some of my art there. I drew the unmasked. Oh, I saw that, Kenny. That was a great drawing, by the way. I saw that. That was really good. Remains $200. Spend $50 remains $50. But from $200, if you spend $50, $150 remains. And then if you spend another $50, so your error in the numbers you posted occurs here. Where's my red folder? Your error is here. Because you're saying you spend $50, you have $50 left, but you don't. You have $150 left. It's not $50. Watch that. But the total remains, you get to, but we have $500 total. I don't understand. Total remains is $550. I'm not sure where you're getting the $550 from. I don't understand either. I don't understand either. You don't have $550. You have $500. You spent $2. You had $3 left. You spent another $100. You have $200 left. You spent $50. You have $150 left. So what you've done, watch this. King Canada Gaming. Thank you very much for the Twitch prize. So what you have here is you spent this. That's $200 plus $100. That's $300. This is you spent that as well. That's $350. And you have this much left, which is $550. Oh, sorry. Not $550, which is $500. So $150 plus $50 is $200 plus $300 is $500. That's your original amount. So you don't have $550. You have $500. That's what it is. Thanks. My pleasure. We had to decipher that, but it worked out. It worked out. It's just the notes at the end. The last branches you have to add up. He was adding all the left together. Oh, because he had this as $50. He thought $500. Oh, that's what he was doing. He didn't have the one there. So it was $50. So he was adding that up. No, as soon as something branches off, they don't count anymore. They're gone. They're gone. It's the ones at the ends of the branches that count. Okay. Gang, that's our session. Uncharted Ace, if you're still here, on our next math stream, if you want to continue with this stuff that we're talking about, we can go into how to move around an equal sign or anyone else, gang, by the way. So I'll probably announce another math drop-in session and the next set of streams we're going to do. So probably in about a couple of weeks, we're going to do another one. Tomorrow, Grace Stream on Trader Ace says, Chichou, you have been a big, my pleasure on Trader Ace. My pleasure. King Canada Gaming. Is it Family Day in BC too? Or is it just game on? No, it's Family Day here as well. So it's holiday. Strangely, I made 500 pounds yesterday in pub. Nice, all we got. What did you do? Flip coins for it? Was this gambling related? We got to do some gambling math, but we'll talk about that in the future. Right now, we're going to talk about investing in comic books. Oh, you opened sweet, sweet. Good stuff, Elder God. Good stuff. Did some have leave their wallet? I didn't say this. I didn't say that. Gang, tomorrow, we're going to be here again. I'm going to give you a general overview of current economic situation in the world, especially in the Western world in regards to the Petrodollar, Wall Street, stocks, monetary monetary policy, fiscal policy, M1, how much money has been. I just want to give a general overview. This is something that I went over with a student of mine because he wanted to know where math is used in the real world and we actually do return on investment or calculating how much growth has occurred and stuff like this. That's one reason I wanted to do this today. So I'm going to give you a general overview. It's going to be all over the place. I'm going to do stuff like this and that's it. That's tomorrow, I think starting at 9.30 a.m. Tomorrow, Wednesday night, we're doing occurrence events live stream and on Thursday morning at 11 a.m. By that time, hopefully I'll have all my spreadsheets set up, organized so we can talk about investing in comic books and take a look at the rate of return or return on investment regarding the first comic book haul we ever did with the 220 daredevil comics, a ton of valiant comics and some Bronze Age Marvel comics, including first appearances and whatnot. I missed the sub. Gang, my apologies. Thank you very much for the subs. You're excited to hear more. Awesome, awesome. So gang, my apologies for missing subs and I'm missing follows and stuff like this because I really want to make sure with mathematics as soon as you take your eyes off the prize, you make little silly mistakes and I do make a lot of brain farts. So I do appreciate the subs and the follows very much. 3RDI, can I get a question answered? If I have a Transformers movie comic, there was only three issues. Where would I find the value for one comic of a three comic only Transformers movie series? Go to my comic shop. Oh, Dinosaur Zoris, thank you very much for the tier. What's up? You can go to all over the place. You can go to eBay. We're going to talk about this on Thursday, by the way, but you can go to eBay and type in the name of the comic. And what you can do is go to the advanced search and do an advanced search under there's a little box. You can say sold items and you can see how much they're selling for. And the comics, it varies on the grade. You'll see this in the data that we're going to share on Thursday. The grade matters. If it's mint quality sells for a lot more, if it's poor quality and stuff like this. But go to eBay, do a search for your comics, see how much it's being sold for. You can go to my comic shop. It's pretty good. I like their website. I haven't bought anything from them, but I like the way they present the data. And there's a lot of different price guides online. I was doing spreadsheets when I was 12. Yeah, spreadsheets rock and roll. Great problem. What's a tricky one? What's a tricky one? What's a tricky one? Gang. Again, if you want to follow this work, I'm on Patreon. I've already set this multiple times today, twice at least. So we'll go through the speedy Gonzalez suite. Thank you for my pleasure. Three, 30, 30. Patreon is a good way to follow this work. We are live streaming on Twitch. So if you want to participate in these live streams, Twitch is where you want to be at. I do announce these live streams on mines, L.O.V.K. Gap, Parler and Twitter. And we do have a Discord page, audios, podcasts, go on SoundCloud and they're available on Spotify and iTunes. And we will be uploading this video to SensorTube, Bichute, Rumble. And if we add enough coins, Odyssey. Aside from that, thank you for being here. Thank you for the questions. Thank you for the patience. Thank you for the subs. Thank you for the follows. Thank you for the discussion. Mods. Thank you for having our back. Elder God. I have been logging in my comics recently. Value, age, etc. Keeping me busy. Awesome Elder God. I wish I need to go through mine. At some point, we do. At some point, I promise. When I go through my comics, I have enough space to go through a big room where we can sort everything out, we'll do it together. It'll be like a three month project. And gang, don't forget. Free Assange, Free Assange, Free Assange. Julian Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capitalist power to humanity. For more information, see WikiLeaks.org or check out our Julian Assange and WikiLeaks playlist. Bye, everyone.


What you see when you visit the Palatine Hill in Rome is only the top floor of a four or five-story structure that for the most part is still standing in an unfinished state with all the trimmings removed, but still standing. Very impressive. And there in the distance, the Dome of St. Peter.


Number one is obviously the salary. When you're working as a full-time attending, you are making a full-time doctor salary. For me, the average was anywhere from $250 to $270,000. I was a great salary compared to what I'm making as a resident and now as a fellow. Number two is the schedule. As a hospitalist, I was working anywhere from seven days on to seven days off. Now as a fellow, my schedule is very determined on what rotation I'm on for at least the next three years. Number three is definitely my hospitalist family of both the doctors as well as staff that I worked with over the past year. He's just a great crew and I'll definitely miss them because definitely feels like a family every time you show up to work. And so for that same reason, I'm excited to create those same type of bonds with my cardiology colleagues over the next few years. And then filing number four is autonomy. As an internal medicine hospitalist, you are the head honcho of that patient. Now as a cardiology fellow, I have an attending who's overlooking my decisions. The autonomy is not completely there, but it will definitely be better than when I was a med student or a resident. Now if you wanna follow me on my journey as a cardiology fellow transitioning into becoming a cardiologist, make sure you hit that like, subscribe and follow for more content just like this one.