#yeah if you solve it arithmetically its 9

[berylian]

Yeah it literally just depends on how you interpret what the parentheses implies

[survey--s]

620.

Do you ever have days where you just don’t do anything? I always do something even if it's just housework, having a shower or walking the dog. I used to have days where I never even got out of bed but looking back that was a symptom of some serious MH issues so I'm glad life is no longer like that. Have you ever been extremely tired but refused to go to sleep? It's not that I've refused to go sleep, it's that my mind has been too active to let me sleep. What is your favorite episode of True Life, if you have one at all? I've never heard of that show. Well, I have on here but I don't know what it's about or anything. Have you ever experienced something paranormal? No. I don't really believe in that kind of thing. What’s the longest amount of time you’ve been stuck in traffic? About 4-5 hours on the motorway once when there was a serious accident. Luckily we'd just stopped for food/drink so we just sat and ate McDonald's lol. Everyone was leaving their cars to go and pee on the hard shoulder hah. Best field trip experience? Going to Paris in sixth form. Have you ever been to New York City? I have not. If so, is it all its cracked up to be? ... What is the most amount of money you’ve spent on a meal before? Personally, around £30 a head but I've attended meals where it cost over £300 per person before. What museums have you visited, if any? Hundreds of them. I honestly couldn't list them all. My childhood holidays were spent traipsing round museums and churches lol. Have you ever had a group project and one of your partners bailed on you? Sure. That's why I much prefer to work alone. What’s your worst traveling experience? Probably flying to Australia and the turbulence being so bad that you could feel the plane drop and all the lights were flickering constantly. It felt like it lasted forever but in reality it was probably only 15 minutes. Sims 1, 2, or 3? Why? I never played the third one, but the 1st and 2nd were both good.

Have you ever dealt with noisy neighbors or roommates? How did that go? Yeah, when I lived with Chris out downstairs neighbours were always arguing lol. We mostly just ignored it. Who was (or is) the teacher that gave you the hardest time in school? I have no idea - possibly my tutor in year...9 I think it was? Best muffin you’ve ever had? I love the raspberry and peach ones from Starbucks though I don't even know if they sell them anymore. Otherwise I tend to go for blueberry ones. Have you ever taken a woodshop class? Yeah. If so, was it required? Yeah, it was just part of our Design Technology. How much time do you spend on Facebook, if you have one? I'm logged in pretty much all the time. What area of math are you best at? Worst? I'm not really good at any kind of maths, lol. I mean, I can do basic arithmetic but nothing more complex than that. How do you feel when you meet someone with the same music taste as you? It's great. How often do you “half-ass” things (put little effort in)? Christ, all the time lol. Most people don't care how much effort you put into something as long as it gets done to a decent standard. Do you ever feel self-conscious when you eat around other people? Yeah, with messy foods. Has a teacher ever made you hate yourself/your work? Nope. How reliable is your internet connection? It's been fine since the engineer came out to sort it on Friday. He's moved the connection onto a better wall so hopefully it solves the issue we've been having with damp. Have you ever missed a meeting/event that was required/necessary? Sure. What’s something that makes you incredibly nervous? Driving in new places. What’s the latest you’ve ever stayed up to finish homework/a project? I pulled plenty of all-nighters in university. If you don’t have glasses, how would you feel if you had to get them? .... If you do have glasses, how would you feel if you didn’t need them anymore? My life would be much easier if I didn't need to wear them lol. I've kind of resigned myself to a life with glasses though. My prescription is too complex for surgery and I can't cope with contacts. How many vegetarians do you know? Not very many. I live in farming country and pretty much everyone likes to eat good quality, local meat. Have you ever considered going to art school? Nope. Is there anyone in your life who consistently angers you? Dog owners who let their dogs run up to mine even when they're very clearly fucking terrified. How quickly can you write an essay? It depends on the length and the topic, and how formal it has to be. Have you ever had problems falling asleep in class? No. Have you ever been on the barrier or front row at a concert? Just small local ones. What bug frightens you most? Cockroaches. Are your parents supportive of you? Yes. How often do you take the train to go places? Never. Our local trains are awful - they're always cancelled or delayed and it's just so much more convenient to drive. Do you play with your phone in awkward situations? If I'm alone, sure, but I try not to do it with others. Have you ever participated in a mock trial, or a real trial? No, neither.

[airoasis]

The magic of Fibonacci numbers | Arthur Benjamin

New Post has been published on https://hititem.kr/the-magic-of-fibonacci-numbers-arthur-benjamin-3/

The magic of Fibonacci numbers | Arthur Benjamin

So why will we study mathematics? Practically, for 3 motives: calculation, software, and final, and lamentably least in terms of the time we provide it, suggestion. Arithmetic is the science of patterns, and we be taught it to study methods to believe logically, significantly and creatively, however an excessive amount of of the mathematics that we be taught in institution is not easily influenced, and when our pupils ask, "Why are we learning this?" then they customarily hear that they are going to need it in an upcoming math class or on a future test. However would it not be fine if every once in a while we did mathematics with ease because it used to be enjoyable or stunning or considering it excited the intellect? Now, i do know many humans have not had the possibility to peer how this can happen, so let me provide you with a fast example with my favourite assortment of numbers, the Fibonacci numbers. (Applause) Yeah! I have already got Fibonacci fanatics right here.That’s high-quality. Now these numbers can be liked in lots of extraordinary methods. From the standpoint of calculation, they’re as effortless to realize as one plus one, which is two. Then one plus two is three, two plus three is five, three plus 5 is eight, and so forth. Indeed, the character we call Fibonacci was definitely named Leonardo of Pisa, and these numbers appear in his guide "Liber Abaci," which taught the Western world the methods of arithmetic that we use at present. In terms of functions, Fibonacci numbers show up in nature quite traditionally.The number of petals on a flower is customarily a Fibonacci quantity, or the quantity of spirals on a sunflower or a pineapple tends to be a Fibonacci number as well. In fact, there are lots of more purposes of Fibonacci numbers, but what I in finding most inspirational about them are the attractive number patterns they display. Let me exhibit you one of my favorites. Suppose you wish to rectangular numbers, and frankly, who would not? (Laughter) Let’s appear at the squares of the first few Fibonacci numbers. So one squared is one, two squared is four, three squared is 9, five squared is 25, and many others.Now, it can be no surprise that while you add consecutive Fibonacci numbers, you get the next Fibonacci quantity. Right? That is how they are created. But you wouldn’t expect some thing targeted to happen whilst you add the squares together. However determine this out. One plus one gives us two, and one plus four gives us 5. And four plus 9 is thirteen, 9 plus 25 is 34, and yes, the sample continues. Actually, here is a further one. Feel you desired to appear at adding the squares of the primary few Fibonacci numbers. Let’s see what we get there. So one plus one plus four is six. Add 9 to that, we get 15. Add 25, we get 40. Add 64, we get 104. Now appear at those numbers. Those aren’t Fibonacci numbers, but when you appear at them intently, you’ll see the Fibonacci numbers buried within them. Do you see it? I’ll show it to you. Six is two occasions three, 15 is thrice 5, forty is 5 occasions eight, two, three, 5, eight, who can we appreciate? (Laughter) Fibonacci! Of course. Now, as much fun as it is to detect these patterns, it is much more pleasing to have an understanding of why they’re actual.Let’s appear at that final equation. Why should the squares of one, one, two, three, five and eight add as much as eight instances 13? I’ll show you by drawing a simple picture. We’ll start with a one-with the aid of-one rectangular and subsequent to that put an additional one-through-one square. Collectively, they form a one-by way of-two rectangle. Under that, i’ll put a two-through-two square, and subsequent to that, a 3-by means of-three rectangular, beneath that, a 5-by using-5 rectangular, after which an eight-through-eight square, growing one enormous rectangle, correct? Now let me ask you a easy question: what’s the subject of the rectangle? Well, on the one hand, it’s the sum of the areas of the squares within it, right? Simply as we created it. It’s one squared plus one squared plus two squared plus three squared plus five squared plus eight squared. Proper? That is the subject. On the other hand, given that it can be a rectangle, the subject is equal to its peak instances its base, and the height is clearly eight, and the bottom is 5 plus eight, which is the subsequent Fibonacci quantity, 13.Proper? So the area can also be eight instances 13. Since we’ve accurately calculated the subject two special approaches, they must be the identical number, and that’s why the squares of one, one, two, three, 5 and eight add up to eight instances 13. Now, if we proceed this procedure, we are going to generate rectangles of the shape 13 by way of 21, 21 via 34, and many others. Now determine this out. For those who divide thirteen by eight, you get 1.625. And if you divide the larger number by means of the smaller quantity, then these ratios get nearer and towards about 1.618, known to many humans because the Golden Ratio, a number which has fascinated mathematicians, scientists and artists for hundreds of years. Now, I show all this to you given that, like so much of arithmetic, there may be a attractive aspect to it that I worry does no longer get sufficient concentration in our faculties. We spend lots of time finding out about calculation, however let’s no longer omit about software, including, possibly, the essential software of all, studying how you can feel.If I might summarize this in one sentence, it might be this: arithmetic is not just solving for x, it is also deciding why. Thanks very a lot. (Applause) .

[batterymonster2021]

The magic of Fibonacci numbers | Arthur Benjamin

New Post has been published on https://hititem.kr/the-magic-of-fibonacci-numbers-arthur-benjamin-3/

The magic of Fibonacci numbers | Arthur Benjamin

So why will we study mathematics? Practically, for 3 motives: calculation, software, and final, and lamentably least in terms of the time we provide it, suggestion. Arithmetic is the science of patterns, and we be taught it to study methods to believe logically, significantly and creatively, however an excessive amount of of the mathematics that we be taught in institution is not easily influenced, and when our pupils ask, "Why are we learning this?" then they customarily hear that they are going to need it in an upcoming math class or on a future test. However would it not be fine if every once in a while we did mathematics with ease because it used to be enjoyable or stunning or considering it excited the intellect? Now, i do know many humans have not had the possibility to peer how this can happen, so let me provide you with a fast example with my favourite assortment of numbers, the Fibonacci numbers. (Applause) Yeah! I have already got Fibonacci fanatics right here.That’s high-quality. Now these numbers can be liked in lots of extraordinary methods. From the standpoint of calculation, they’re as effortless to realize as one plus one, which is two. Then one plus two is three, two plus three is five, three plus 5 is eight, and so forth. Indeed, the character we call Fibonacci was definitely named Leonardo of Pisa, and these numbers appear in his guide "Liber Abaci," which taught the Western world the methods of arithmetic that we use at present. In terms of functions, Fibonacci numbers show up in nature quite traditionally.The number of petals on a flower is customarily a Fibonacci quantity, or the quantity of spirals on a sunflower or a pineapple tends to be a Fibonacci number as well. In fact, there are lots of more purposes of Fibonacci numbers, but what I in finding most inspirational about them are the attractive number patterns they display. Let me exhibit you one of my favorites. Suppose you wish to rectangular numbers, and frankly, who would not? (Laughter) Let’s appear at the squares of the first few Fibonacci numbers. So one squared is one, two squared is four, three squared is 9, five squared is 25, and many others.Now, it can be no surprise that while you add consecutive Fibonacci numbers, you get the next Fibonacci quantity. Right? That is how they are created. But you wouldn’t expect some thing targeted to happen whilst you add the squares together. However determine this out. One plus one gives us two, and one plus four gives us 5. And four plus 9 is thirteen, 9 plus 25 is 34, and yes, the sample continues. Actually, here is a further one. Feel you desired to appear at adding the squares of the primary few Fibonacci numbers. Let’s see what we get there. So one plus one plus four is six. Add 9 to that, we get 15. Add 25, we get 40. Add 64, we get 104. Now appear at those numbers. Those aren’t Fibonacci numbers, but when you appear at them intently, you’ll see the Fibonacci numbers buried within them. Do you see it? I’ll show it to you. Six is two occasions three, 15 is thrice 5, forty is 5 occasions eight, two, three, 5, eight, who can we appreciate? (Laughter) Fibonacci! Of course. Now, as much fun as it is to detect these patterns, it is much more pleasing to have an understanding of why they’re actual.Let’s appear at that final equation. Why should the squares of one, one, two, three, five and eight add as much as eight instances 13? I’ll show you by drawing a simple picture. We’ll start with a one-with the aid of-one rectangular and subsequent to that put an additional one-through-one square. Collectively, they form a one-by way of-two rectangle. Under that, i’ll put a two-through-two square, and subsequent to that, a 3-by means of-three rectangular, beneath that, a 5-by using-5 rectangular, after which an eight-through-eight square, growing one enormous rectangle, correct? Now let me ask you a easy question: what’s the subject of the rectangle? Well, on the one hand, it’s the sum of the areas of the squares within it, right? Simply as we created it. It’s one squared plus one squared plus two squared plus three squared plus five squared plus eight squared. Proper? That is the subject. On the other hand, given that it can be a rectangle, the subject is equal to its peak instances its base, and the height is clearly eight, and the bottom is 5 plus eight, which is the subsequent Fibonacci quantity, 13.Proper? So the area can also be eight instances 13. Since we’ve accurately calculated the subject two special approaches, they must be the identical number, and that’s why the squares of one, one, two, three, 5 and eight add up to eight instances 13. Now, if we proceed this procedure, we are going to generate rectangles of the shape 13 by way of 21, 21 via 34, and many others. Now determine this out. For those who divide thirteen by eight, you get 1.625. And if you divide the larger number by means of the smaller quantity, then these ratios get nearer and towards about 1.618, known to many humans because the Golden Ratio, a number which has fascinated mathematicians, scientists and artists for hundreds of years. Now, I show all this to you given that, like so much of arithmetic, there may be a attractive aspect to it that I worry does no longer get sufficient concentration in our faculties. We spend lots of time finding out about calculation, however let’s no longer omit about software, including, possibly, the essential software of all, studying how you can feel.If I might summarize this in one sentence, it might be this: arithmetic is not just solving for x, it is also deciding why. Thanks very a lot. (Applause) .

[airoasis]

The magic of Fibonacci numbers | Arthur Benjamin

New Post has been published on https://hititem.kr/the-magic-of-fibonacci-numbers-arthur-benjamin/

The magic of Fibonacci numbers | Arthur Benjamin

So why can we gain knowledge of arithmetic? Well-nigh, for three causes: calculation, utility, and last, and sadly least in terms of the time we provide it, concept. Arithmetic is the science of patterns, and we study it to learn the right way to suppose logically, seriously and creatively, however an excessive amount of of the mathematics that we gain knowledge of in university will not be effortlessly influenced, and when our scholars ask, "Why are we finding out this?" then they ordinarily hear that they’ll need it in an upcoming math class or on a future scan. However wouldn’t it be excellent if every once in a at the same time we did arithmetic readily seeing that it was once fun or stunning or in view that it excited the intellect? Now, i know many humans have no longer had the opportunity to see how this will happen, so let me provide you with a fast example with my favourite collection of numbers, the Fibonacci numbers.(Applause) Yeah! I already have Fibonacci fans right here. That is excellent. Now these numbers may also be appreciated in many one of a kind approaches. From the standpoint of calculation, they’re as convenient to recognize as one plus one, which is 2. Then one plus two is three, two plus three is 5, three plus 5 is eight, and so on. Certainly, the individual we name Fibonacci was truly named Leonardo of Pisa, and these numbers appear in his book "Liber Abaci," which taught the Western world the ways of arithmetic that we use today. In terms of purposes, Fibonacci numbers appear in nature highly most often. The number of petals on a flower is quite often a Fibonacci number, or the number of spirals on a sunflower or a pineapple tends to be a Fibonacci quantity as good. Correctly, there are many more purposes of Fibonacci numbers, but what I find most inspirational about them are the attractive quantity patterns they display. Let me exhibit you one in all my favorites. Believe you prefer to rectangular numbers, and albeit, who would not? (Laughter) Let’s appear on the squares of the first few Fibonacci numbers.So one squared is one, two squared is four, three squared is 9, 5 squared is 25, and so on. Now, it is no shock that whilst you add consecutive Fibonacci numbers, you get the next Fibonacci number. Right? That’s how they are created. But you would not anticipate whatever specified to happen whilst you add the squares together. But examine this out. One plus one gives us two, and one plus four gives us 5. And four plus nine is thirteen, 9 plus 25 is 34, and yes, the sample continues. Correctly, here’s yet another one. Believe you wanted to seem at including the squares of the first few Fibonacci numbers. Let’s examine what we get there.So one plus one plus four is six. Add nine to that, we get 15. Add 25, we get forty. Add sixty four, we get 104. Now appear at those numbers. Those should not Fibonacci numbers, however in case you seem at them closely, you can see the Fibonacci numbers buried within them. Do you see it? I’m going to exhibit it to you. Six is two times three, 15 is 3 times five, forty is five instances eight, two, three, 5, eight, who will we appreciate? (Laughter) Fibonacci! Of path. Now, as a lot enjoyable as it is to observe these patterns, it is much more pleasing to appreciate why they are actual.Let’s seem at that last equation. Why will have to the squares of 1, one, two, three, 5 and eight add up to eight instances 13? I’ll exhibit you by means of drawing a easy picture. We’ll begin with a one-by-one square and next to that put one more one-by-one square. Together, they type a one-by way of-two rectangle. Below that, i will put a two-by using-two rectangular, and subsequent to that, a three-by using-three rectangular, underneath that, a five-by using-five square, after which an eight-by-eight rectangular, developing one large rectangle, proper? Now let me ask you a simple query: what is the discipline of the rectangle? Well, on the one hand, it’s the sum of the areas of the squares inside it, correct? Simply as we created it. It can be one squared plus one squared plus two squared plus three squared plus five squared plus eight squared. Right? That is the field. On the other hand, for the reason that it can be a rectangle, the area is equal to its top instances its base, and the height is evidently eight, and the base is five plus eight, which is the next Fibonacci quantity, 13.Proper? So the field can be eight times thirteen. Since we have competently calculated the subject two distinctive ways, they ought to be the same quantity, and that’s why the squares of 1, one, two, three, 5 and eight add up to eight instances 13. Now, if we proceed this procedure, we will generate rectangles of the shape 13 with the aid of 21, 21 by using 34, and so forth. Now check this out. If you happen to divide 13 with the aid of eight, you get 1.625. And if you happen to divide the better quantity by means of the smaller number, then these ratios get nearer and towards about 1.618, identified to many individuals as the Golden Ratio, a number which has fascinated mathematicians, scientists and artists for hundreds of years. Now, I show all this to you since, like so much of arithmetic, there is a stunning facet to it that I fear does no longer get enough attention in our schools. We spend lots of time studying about calculation, however let’s now not forget about software, including, perhaps, the principal utility of all, studying tips on how to consider.If I might summarize this in a single sentence, it might be this: mathematics is not only solving for x, additionally it is determining why. Thanks very so much. (Applause) .

[batterymonster2021]

The magic of Fibonacci numbers | Arthur Benjamin

New Post has been published on https://hititem.kr/the-magic-of-fibonacci-numbers-arthur-benjamin/

The magic of Fibonacci numbers | Arthur Benjamin

So why can we gain knowledge of arithmetic? Well-nigh, for three causes: calculation, utility, and last, and sadly least in terms of the time we provide it, concept. Arithmetic is the science of patterns, and we study it to learn the right way to suppose logically, seriously and creatively, however an excessive amount of of the mathematics that we gain knowledge of in university will not be effortlessly influenced, and when our scholars ask, "Why are we finding out this?" then they ordinarily hear that they’ll need it in an upcoming math class or on a future scan. However wouldn’t it be excellent if every once in a at the same time we did arithmetic readily seeing that it was once fun or stunning or in view that it excited the intellect? Now, i know many humans have no longer had the opportunity to see how this will happen, so let me provide you with a fast example with my favourite collection of numbers, the Fibonacci numbers.(Applause) Yeah! I already have Fibonacci fans right here. That is excellent. Now these numbers may also be appreciated in many one of a kind approaches. From the standpoint of calculation, they’re as convenient to recognize as one plus one, which is 2. Then one plus two is three, two plus three is 5, three plus 5 is eight, and so on. Certainly, the individual we name Fibonacci was truly named Leonardo of Pisa, and these numbers appear in his book "Liber Abaci," which taught the Western world the ways of arithmetic that we use today. In terms of purposes, Fibonacci numbers appear in nature highly most often. The number of petals on a flower is quite often a Fibonacci number, or the number of spirals on a sunflower or a pineapple tends to be a Fibonacci quantity as good. Correctly, there are many more purposes of Fibonacci numbers, but what I find most inspirational about them are the attractive quantity patterns they display. Let me exhibit you one in all my favorites. Believe you prefer to rectangular numbers, and albeit, who would not? (Laughter) Let’s appear on the squares of the first few Fibonacci numbers.So one squared is one, two squared is four, three squared is 9, 5 squared is 25, and so on. Now, it is no shock that whilst you add consecutive Fibonacci numbers, you get the next Fibonacci number. Right? That’s how they are created. But you would not anticipate whatever specified to happen whilst you add the squares together. But examine this out. One plus one gives us two, and one plus four gives us 5. And four plus nine is thirteen, 9 plus 25 is 34, and yes, the sample continues. Correctly, here’s yet another one. Believe you wanted to seem at including the squares of the first few Fibonacci numbers. Let’s examine what we get there.So one plus one plus four is six. Add nine to that, we get 15. Add 25, we get forty. Add sixty four, we get 104. Now appear at those numbers. Those should not Fibonacci numbers, however in case you seem at them closely, you can see the Fibonacci numbers buried within them. Do you see it? I’m going to exhibit it to you. Six is two times three, 15 is 3 times five, forty is five instances eight, two, three, 5, eight, who will we appreciate? (Laughter) Fibonacci! Of path. Now, as a lot enjoyable as it is to observe these patterns, it is much more pleasing to appreciate why they are actual.Let’s seem at that last equation. Why will have to the squares of 1, one, two, three, 5 and eight add up to eight instances 13? I’ll exhibit you by means of drawing a easy picture. We’ll begin with a one-by-one square and next to that put one more one-by-one square. Together, they type a one-by way of-two rectangle. Below that, i will put a two-by using-two rectangular, and subsequent to that, a three-by using-three rectangular, underneath that, a five-by using-five square, after which an eight-by-eight rectangular, developing one large rectangle, proper? Now let me ask you a simple query: what is the discipline of the rectangle? Well, on the one hand, it’s the sum of the areas of the squares inside it, correct? Simply as we created it. It can be one squared plus one squared plus two squared plus three squared plus five squared plus eight squared. Right? That is the field. On the other hand, for the reason that it can be a rectangle, the area is equal to its top instances its base, and the height is evidently eight, and the base is five plus eight, which is the next Fibonacci quantity, 13.Proper? So the field can be eight times thirteen. Since we have competently calculated the subject two distinctive ways, they ought to be the same quantity, and that’s why the squares of 1, one, two, three, 5 and eight add up to eight instances 13. Now, if we proceed this procedure, we will generate rectangles of the shape 13 with the aid of 21, 21 by using 34, and so forth. Now check this out. If you happen to divide 13 with the aid of eight, you get 1.625. And if you happen to divide the better quantity by means of the smaller number, then these ratios get nearer and towards about 1.618, identified to many individuals as the Golden Ratio, a number which has fascinated mathematicians, scientists and artists for hundreds of years. Now, I show all this to you since, like so much of arithmetic, there is a stunning facet to it that I fear does no longer get enough attention in our schools. We spend lots of time studying about calculation, however let’s now not forget about software, including, perhaps, the principal utility of all, studying tips on how to consider.If I might summarize this in a single sentence, it might be this: mathematics is not only solving for x, additionally it is determining why. Thanks very so much. (Applause) .