I literally have a Maths exam tomorrow and I had no clue on how I am supposed to estimate the value of square roots before watching this video. Thank you so much for making this video! You are a life saver!
It’s really a ballpark skill. Identify the 2 numbers your square root is in between, decide less than halfway so do your best guess, exactly halfway gets you .5 and more than halfway means another best guess. It’s tenths of a whole, so no biggie. Really this is something that you can almost do in your head. I realize I had the numberline and all that, but that’s to show my thinking process - how I get to my estimate. Any question on this is an exam should be quick - don’t spend a lot of thought on it. For example estimate the square root of 46. Write down thinking 6x6=36 7x7= 49 Estimated square root 6.8 Then move on to the next question. 😉😃🤗😎🤩
Thank you very much! Did you click the bell to get notified of new uploads? I’m slogging away in something at the moment but I have decided to rework the last minute, so I have to re-record the audio. Yesterday I couldn’t get it done - tons of people were mowing their grass and I could hear it in my closet, where I record my stuff, then it chucked it down really heavily and I could hear rain noise! 😩 Talk about stuff holding you up! 🤗😉💕
That’s great! Thanks so much for your note. You could try her out with a few numbers to see how she does. When she has her estimate, she can go to the calculator and see how close she is. It builds so much confidence in a student to know they have really understood square root. 😃🤩🤗
thank you so so much i am not even kidding i started this topic today and thought i wont be getting it and making my teacher go crazy hahahaha but i got it now all thanks to you:)
thanks mam ...we use the same way here to for teaching estimating the square root ,,,but for the 8th grade we use the inequality method to find the two whole numbers that the value of the root is located between ....have a nice day mam
I teach to the 'rest of us', not the one or two kids in a class who get it straight away. 😉 By the way, if you scan through the comments on this video, you'll find bang-up instructions on what you can do to help yourself when your teacher goes, "ok then, estimate the cube root of this number!" It's actually quite manageable. You just have to think about it logically (as in the note I wrote about this idea) and not panic. You can get it... ALL of it! 😉😃😎💕
I’m sorry - I saw this when I’d just woken up. I was pretty bleary eyed and not wearing specs. The test is tomorrow!i see that now. Best of luck for tomorrow then. 🤗😉💕
@@Foolish_Hooman I don't, but I've been thinking about it. That's one of those things that can throw a person, but is not really that bad, once you get into it.
You know what... I'm cool with just kind of eyeballing it, given that we are dealing with tenths. As long as it's the correct side of .5, it'll kind of do. To be honest, that film took such a long time to make, by the time I got near enough, I was kind of done. Maybe I should have taken the time to put in another sentence about that, but I had put such a lot in at that point, with audio re-recordings, I'd kind of had enough. Sorry. Just look to get it in the right side of .5, and just - kind of guess. As long as it's a decent guess that you can defend, then it's ok.
We don’t have to be super-exact when we make an estimation, but we want to be close. The ideas in this video will also give you a quick check guide for your calculator, or if you have a multiple choice question.
Your numberline is not right. Think if it like this... start at zero and count up by ones to the right (just like the scale on a ruler. So you have a bunch of space 0. 1 2 3 And now from zero we’re going to count DOWN by ones, to the left. It reads like this -3. -2. -1. 0 1 2 3 You don’t technically have to put a + in front of the positive numbers. If a number had no sign in front of it we know it is positive. The practical example of a numberline that will probably come up in your exam is the scale on a thermometer. They will probably give some temperatures and ask at what point in the year these readings could have been taken.
It's not too bad, when you think of it like this. And somewhere in the notes, I think back end of last week, you can read an exchange between a student and myself, about estimate the cube root. I gave this person a really easy strategy for how to go about thinking it through. I think it solved their problem. Sometimes, you just need a way to think about things to get you started.
Thanks for subbing! Glad it helps. When we get into the decimal part it's really about is it a bit over half (.6), nearly the next whole (.8 or .9) or somewhere in between. It's tenths, so any reasonable guess will do.
Hi. I came across the video and thought of suggesting this to the students to help them understand estimating square roots. I would like to ask your permission if I can use this as an additional reference on the module I am writing on. Dont worry I will give credits. Thank you!
Hi Nallie, This is a super idea! Absolutely, please go ahead and quote the RUclips URL to this video. That's a great way to give your students a demo they can access in their own time. My plan with the whole process in this video is to move students away from CCD syndrome. That's Complete Calculator Dependency! I don't know if CCD is really a Thing, but I certainly see it happening in classes around the city! I want students to understand what mathematics is about, and gauge a problem using brainpower. We should feel free to use a calculator, but know what we're looking at, and be ready to say 'well that sounds wrong!' and try again.
@@LetsDoMath I totally agree on that. Understanding the concepts and thinking critically are some skills that students need to develop to appreciate Math. Thank you for sharing your videos with us. This will greatly help the students, and teachers as well. More power!
Example: 41 First identify the numbers our root is between (6 and 7) 6x6=36, 7x7=49 41 is 5 more than 36 and 8 less than 49. Root is less than 6.5. My guess: 6.3 Calculator says: 6.403... is the root of 41. 6.4 is a BETTER estimate, but mine is a tenth away. It's just an estimate, it's good enough. Example from video: 34 Root is between 5 and 6 5x5=25 and 6x6=36 34 is 9 more than 25 and 2 less than 36 Estimate is MUCH closer to 6 than 5. Really, you can gauge it on halfway (.5), less than halfway (just give your best guess) and more than halfway (again, just your best guess). 5.8 is my best guess. If it was 35 I'd have guessed 5.9. Calc says: square root of 34 = 5.830... If I'd have guessed 5.7 that would also have been pretty close. Calc says: 5.7 x 5.7 = 32.49 Really the idea is that we can spot roughly where it should be. The point of this exercise is to develop some independence from the calculator. Many people are slavishly calculcator-dependent. Whatever it says MUST be right, right? And the calculator responds to what we put in, so if we enter something incorrectly, you get an answer that's way off. We need to think about a problem for ourselves. That's what this video is about. I just want us to think about the likely answer so we can predict roughly what the calc is going to deliver. And if it doesn't, we know something is off. I hope that makes sense. I don't want anyone to stress over a tenth, but get into the habit of thinking and predicting, if we're using a calculator.
Ohhhh, alright, thank you so much! I have a test tomorrow so I’ll probably just try to do some exercises. If I have a question, do you mind answering it later on?
Hi, I got an A- for my test today and thanks to your help, I passed! I’m starting a new topic now and it’s about rounding and estimating? It would be great if you help me out.. Thanks
@@strawberrylemmon5812 Well good for you! Way to go! As for rounding and estimating, I never actually completed the vid I was working on. It was getting a bit long. I kind of abandoned it. If I asked you to round 24 to the closest 10, what would be your answer? How about 36? And 45? This tells me where you're up to, roughly, right now.
Why do we estimate a square root? Why don't we factor down to each number and rewrite the product of its square root factors to check by simplifying all the prime factors and get a whole number answer and the root can't and can simplifying using the whole number times a root(a whole number and a root)?
This thinking gives students just a quick gauge. I know the video is lengthy, especially considering the essence of the thinking is “what squares is it between?”, but when you realise this video is meant for a little development in our thinking about square roots. That means elementary school so I think it takes things as far as needed. What’s your feeling, concerning ages 10-12 take-up of these concepts?
We have to find the square root of 34. I know that's not a number in our times tables, so I think what square numbers does that come between? 25 is a square number, and so is 36. 5 squared = 25, and 6 squared = 36. That tells me that the number I need to square (multiply by itself is between 5 and 6). I hope that written explanation helps you, though I think it's clearer using the working and notes on the screen in the video. Did you take down notes on what I do in the video? That will help you, I think. :o)
@@soreal_steven Great. Remember, when you're estimating the square root, it's just that, an approximate. That number line lets us see is it a bit below halfway or a bit above. Above and you can guess .6 or .7, nearly at the next square number suggests .8 or .9. A bit below halfway suggests .4 or .3. Only a bit more than your lowest square number in the pair suggests .1 or .2. Don't sweat it on an approximating question though. Have a go at this one. Approximate square root of 18? So think: which two square numbers is 18 between? Now give me a guess. I'm here for 5 minutes then I have to hit the hay, I'm beat after more than a full day in the air.
We know that a cube root is a number, x itself, x itself. We can learn SQUARE numbers easily, because the first 12 of them are IN our multiplication tables knowledge. When it comes to doing a module on cube roots, and estimating them, I think a useful strategy would be to set yourself up a dedicated page in your math notebook and show cube roots 1x1x1=1 2x2x2=8 3x3x3= 27 4x4x4= 64 5x5x5=125... Keep going all the way to 12x12x12 Then if you have to estimate a cube root, at least you have a base of knowledge from which to start. It is likely that a teacher giving such a problem is only looking to see are you between the right two numbers. For example if they say 'estimate the cube root of 40. You'll know right away that it's between 3 and 4. It's a bit less than halfway between 27 and 64, so you're looking at some value a bit less than 3.5. I will try 3.4... And that comes out on the calculator as 39.304. This strategy will work for you too. Set up the page so you can cross-reference numbers they give you. Think: halfway, less than that or more than that. Then ballpark a guess. You GOT this!
Sure, though it gets a bit trickier past 144, since that's 12x12, and that's as far as we know off the tops of our heads. Or off the printed multiplication chart. You'd have to give it your best guess to find the square numbers your target number sits in between. Hopefully if your teacher gives you this, they at least let you use a calculator to find what 14x14 is and 15x15 is. Otherwise, I'm afraid you're in for a few multiplications, longhand, in whatever method you prefer. 😃😉🤗🤔
The most important thing we can acquire is confidence with the 4 operations, including mental math addition and subtraction, multiplication facts 2-12x tables. When you’ve got that stuff into permanent memory you will see those pattern relationships , for example in algebra, and that’s going to give you such a lot of confidence. 😃🤗🤩😉
So you know how we find the two numbers we are between? Determine whether we are halfway between,below half or above half. Then just make your best guess. It’s an estimate. We’re dealing with tenths of a number. To be a couple of tenths out is not an issue BECAUSE it’s an estimate. The goal is to be in the right ballpark. Relax about it, you can totally do it. 😃😎🤗🤗
Are you asking me what is the estimated product of these numbers? 13 x49? I’m going to assume you are, because 49 is a square number, and it’s root is 7. If you have learned your tables you will know this. When we estimate, we are rounding. When you start rounding numbers, you round to the closest ten. So which ten is closest to 13? Is it closer to 10 or 20, the two numbers it sits between on the number line? And what ten does 49 round to? Next step: multiply those two rounded numbers together to get your estimated answer. I won’t do your homework for you, but I am happy to help you so you can do it for yourself. 😃😉💕
thank you so much now i undersand i was tell my brother to give me an problem and he was give 48 and i get 6.9 and he say it was correst tmr i have quiz i hope i take good thanks for your help again
You got it! 48 is between the squares of 6 and 7 (36 and 49). It's VERY close to 49, so its root is very close to 7. 6.9 is exactly how I would answer, too!
Im back with another question this is our lesson but we use numberline to answer do u have a video with the same subject but using numberline to answer
I use a numberline here, and show you the difference between the square numbers. That’s how you determine is at halfway between (.5), less than half, or more than half. Did you not watch the whole vid?
@@Foolish_Hooman So you have to think really in terms of that difference between the 2 square numbers either side of the target number. That's key to the estimate you come up with. If I had to estimate the square root of 55... That's between the square numbers of 49 (7x7) and 64 (8x8). It's going to be 7.something. 55 is 6 away from 49 and 9 away from 64. Less than half. So the estimate must be under 7.5. I might go with 7.4. And then checking that just now on the calc, I see that generates 54.76. Good estimate then. So... halfway (.5), less than half (best guess) or more than half (best guess). If you get the wrong whole number you're in trouble (cos you don't know your tables)! The decimal part is tenths of a whole one, it's in the noise, but being able to give a decent estimate is a useful skill. It means you will know if an answer has gone badly squirrelly on you, and you won't end up just copying down any old craziness your calculator throws out at you, if you accidentally put your problem in wrongly. We want to avoid CCD (Complete Calculator Dependency).
I'm glad to help out. If you're ever stuck in maths, just click on the playlists tab to see what I've covered. Can't find what you want? Send me a note and I'll check and send you a link if I've done a video to help. (o:
At 2:11 the square root of 25 = 5, because 5x5=25 The square root of 36 is 6, because 6x6=36 The square root of 34 is going to be 5.something because 34 is between the square numbers 25 and 36. It has to be 5.something because 34 is less than 36, so the root is less than 6. I hope this helps you, BTS fan! ;o)
Please take a look in the comments over the last week or so. Someone asked me how did I settle on my estimate and I boiled it right down for her. I think that will help you too.
@@Foolish_Hooman LACHIMOLALA Here's the note I sent that got the Ohhh! moment from her. Example: 41 First identify the numbers our root is between (6 and 7) 6x6=36, 7x7=49 41 is 5 more than 36 and 8 less than 49. Root is less than 6.5. My guess: 6.3 Calculator says: 6.403... is the root of 41. 6.4 is a BETTER estimate, but mine is a tenth away. It's just an estimate, it's good enough. Example from video: 34 Root is between 5 and 6 5x5=25 and 6x6=36 34 is 9 more than 25 and 2 less than 36 Estimate is MUCH closer to 6 than 5. Really, you can gauge it on halfway (.5), less than halfway (just give your best guess) and more than halfway (again, just your best guess). 5.8 is my best guess. If it was 35 I'd have guessed 5.9. Calc says: square root of 34 = 5.830... If I'd have guessed 5.7 that would also have been pretty close. Calc says: 5.7 x 5.7 = 32.49 Really the idea is that we can spot roughly where it should be. The point of this exercise is to develop some independence from the calculator. Many people are slavishly calculcator-dependent. Whatever it says MUST be right, right? And the calculator responds to what we put in, so if we enter something incorrectly, you get an answer that's way off. We need to think about a problem for ourselves. That's what this video is about. I just want us to think about the likely answer so we can predict roughly what the calc is going to deliver. And if it doesn't, we know something is off. I hope that makes sense. I don't want anyone to stress over a tenth, but get into the habit of thinking and predicting, if we're using a calculator.
Hiya. We're estimating the root of 34. We know 5x5=25 and 6x6=36. So the root of 34 must be between 5 and 6. It's much closer to 6 though, right? Because there's only 2 difference between 34 and 36, and there's 9 between 25 and 34. We know our root must be higher than 5.5 (halfway), so as we're now into the tenths, I'm not that bothered about high degree of accuracy, so I just take a hipshot for 5.8. It's good enough, it'll be about right. And if you plug it into a calculator you'll see you get 5.8309... 5.8 is a great estimate. 5.7 would have been fine too. 5.6 a bit low and 5.9 a bit high. Remember, it's the tenths, and it's an estimate. It's not a big deal if you're a bit out. It WOULD be a big deal if you estimated the square root of 34 at 6.5 though. Do you see? Don't stress it, look for the 2 numbers it's going to sit between, determine whether it's halfway, less than that or more than that, and take a hipshot, like me. It'll be fine if you just stick with that. An estimate is a guess, a ballpark, nobody's expecting you to hit it exactly on the head. We do this so we can get a quick check in our heads of what we think the square root should be. That way, if our calculator has a little slip (or we do, entering the numbers), we THINK before we take its answer. That's all this is for, really. Engage your brain as well as the technology. :o)
Of course. Most of our square root work later on will be on a calculator, but from the get-go students need to be able to gauge whether an answer is sensible, to be really thinking about what it's likely to be. That's why estimating a root is important. And that's why I don't really care too much about a close estimate, just in the 'reasonable' range is perfectly fine.
I have a few videos about square roots. Firstly Square Root for Beginners: How to find the sidelength of a square when you know its area: ruclips.net/user/edit?o=U&video_id=IwUdY_2d_2Q Then there's Introducing Square Root(using the sign, writing the sign correctly, some examples) ruclips.net/user/edit?o=U&video_id=KhkS0BqHmB0 And then there's How to Estimate Square Root (to 1 decimal place): ruclips.net/user/edit?o=U&video_id=dKC7r2BNjTg I hope those help you. :o) edit: 'couple of videos' became 'few videos'. I thought I'd done 2, but it's actually 3, when I went to get the URLs for you. :o)
Lets do math why don't you make an discord server where we can ask sime question it cause we can send pictures of our question in discord i would love to send you my lesson and have you teach me cause im really having a hard time on math thank you for your help i got better:)
This is an excellent idea. The one difficulty I can see though, is the potential for people asking a question and hoping/expecting a quick reply. And I'm just one person, I'm concerned that I might not answer fast enough for people. At least this way with the dialogue on the actual vid in YT, other people can read the thread and may find their own question here, along with the help I've already given someone else. I may have to keep it to the YT forum on each video, just thinking this through as I write my reply to you now. I do like that discussion space idea though.
It's an estimate - it's close enough. I'm showing a thinking method that helps students work through a problem using logic. I showed 5.5 on the line, then worked out its approximate square value, I showed that clearly the square root lies somewhere between 5.5 and 5.9. Then I just took my best guess. That's all you do. Nobody will mark you wrong on an estimate if your guess 5.7 and they are expecting 5.8. But if you said 5.2, that would be too low. I hope this makes sense, Zainab.
Dude! 12.8 is awesome. 12.81... seriously? It's an ESTIMATE! They want an extra 1/100 in the answer?!?!? I need a moment to go outside and cool off, cos that's making me a bit cross! I'll say it again... it's an estimate. You are golden with 12.8, don't let someone try and badger you into an extra hundredth. If you are finding it and then showing it correct to 2 decimal places on a calculator, then that's a different story, but for an estimate, 1 dp is all I'd expect, for sure!
you can use this code in case your computer (somehow) unable to perform square root operation that results in decimal number (not whole number). edit: grammar
You have a number, let's say it's 22, and we have to estimate the square root. An estimate is called for because 22 is not a square number (no whole number multiplied by itself is 22). So we say what square numbers does it sit between? 5x5=25 and 4x4=16. The square root of 22 is therefore going to be somewhere between 4 and 5. 4.something then. Consider how close to the two different square numbers 22 is. 16 and 25... it's much closer to 25. So the square root must be higher than 4.5 (halfway). We're dealing in tenths, so it's just a guess. I'm going to guess 4.7. When I compare that with actual calculator findings... I discover that the square root of 22 is actually 4.69. Very nearly 4.7 I could have guessed 4.8. If I square 4.8, it's 23.04. A bit high. I could have guessed 4.6. If I square 4.6, it's 21.16. A bit low. But even if I had gone with 4.8 or 4.6, it still would have been pretty darn close, and therefore good enough. An estimate is a guess. Use logic to get your best guess. Like I did in the vid, like I did here in this extra example. And to help you a bit further, if my number had been 24, I would have gone with an estimated root of 4.9 If it had been 23, I'd have gone with 4.8. 21: I'd have estimated 4.6 20: I'd also have estimated 4.5 - it's 4 more than 16 (the square of 4) and 5 less than 25 (the square of 5) 19: I'd have estimated 4.3 18: I'd have estimated 4.2 17: 4.1
Sorry if ‘math’ bugs you. It’s a big world and in some locations it’s ‘maths’ and in others, ‘math’. I am happy with either term, we all know what we’re on about. The fact is, ‘math’ is quicker to say, by about a second per utterance. 😉 Every second counts, and all that... 🤗😊
Im trying to estimate the value of 38 to the nearest integer and to the nearest tenth I figured out the first part = 36/6---or 25/5 Which is 6 but I don't know what to do with the nearest tenth....😅
Okay so I counted backwards with the 6.9 on the numberline because 36 is behind the 38. Then I got 6.2! I think that's at least correct. Not sure if I did the method right though.
The number we’re investigating is 34. The square of 5 is 25 and the square of 6 is 36. 34 is less than 36, so the square root of 34 is less than the square root of 36. The square root of 36 is 6, so we are looking at LESS THAN 6, but more than 5. That’s why it’s 5.something. 😉
@@zainabfaisal5750 I'm just finishing the final video on Fractions to Decimals, and then I'm doing a series on Multiplication. It happens all the time that this is a sticking point for kids. There's always one or two kids who have learned their tables independently, and they are miles ahead of the others in the class because of it. I think it's time to change that. I want kids to learn their tables so everyone feels they CAN do it, and no-one feels they are not good enough. So if you're not that good at multiplication, get ready for the Multiplication playlist. It's on its way!
what is the meaning of table knowledge....is it important to find the decimal value of the non perfect square numbers i think its confusing for the 6th grade
Hi Mohamad. 'Table knowledge' is multiplication fact recall. That 2x2=4, 3x3=9, 4x4=16 and so on. You'd be amazed how many kids don't know their tables and it causes so much upset for them as they struggle with it. The reason why I want kids to be able to gauge a square root of a non-perfect square number is to avoid calculator dependency. I don't like seeing kids grind to a halt when presented with a non-perfect square and have to find its root. When that happens, they are just lacking this simple thinking tool, and I want them to have it onboard. When people have that culture of 'can't do it instantly, so grab a calculator', they can end up with silly mistakes because... garbage in, garbage out. It's easy to make a mistake entering values into a calculator, and if you haven't THOUGHT about the probable answer, you'll believe any old rubbish the calculator tells you. BECAUSE the calculator tells you. That's what I'm trying to help kids avoid. I want them to build their understanding and numeracy skills, and to me, being independent of a calculator, then using it to check their work is a strong step. When I made this film, first I had used the concept of 'finding the sidelength of a square from its area', but when almost finished, I changed my mind and reworked it, deciding to use a numberline and square numbers only, simply considering square numbers and their roots, THEN apply that thinking to area of a square and finding its sidelength at the end. For me, estimating to 1 decimal place makes perfect sense because when you measure for area, you can go down to mm, so 1 decimal place is all you need. I hope that makes sense. Thanks for your question.
Ah yes. Well, we're both very English. She's from the south though, and I'm from the north. She would have a long 'a' in grass: (grahss). I have a short 'a': grass.
Don’t panic. Eg: 18 Step 1: find the 2 numbers it must be between. 4x4= 16 5x5=25 The answer is going to be 4.something 18 is only 2 more, so I’m going to go with 4.1 I’m inspecting the number and making a guess to that decimal part. It doesn’t have to be accurate - as long as you have the right whole number part, the estimate is in tenths. So you’re going to first identify the whole number. Then you think about the given value: is it halfway between the two squares? If yes, you put .5. If less than halfway you’re best guess on .1,2,3 or .4. If more, your best guess on .6,7,8 or .9. You’re doing an estimate, it’s a guess. As long as you can give a reason why you picked it, you’re all good. You CAN do this. 😃🤗🥰
Jonah, the main point of this is that we can gauge between which two whole numbers our square root is going to lie. The decimal part, you can just ballpark. You need this because it's a mental check against a calculator brainfart. You ever seen one of those? You need to know if your answer is crazy. When that happens, it's usually that we put something weird in, but of course, we always tend to believe the calc, because... it's a CALC. This skill is about putting ourselves in the power position, not the calculator. Bottom line: don't sweat the decimal value too much: halfway, less than half, more than half. Just guess! It's only an estimate. 🤩😃😎🤗
![Noob To Max With DRAGON REWORK In Blox Fruits [FULL MOVIE]](http://i.ytimg.com/vi/LnBMOinoOvA/mqdefault.jpg)
Who else here because of the online schooling ✌️
yup
Yup
I wanted to watch anime, however my teacher made us do this
me
Ye
when ur teacher sends u here for e school
Same lol
@@GojosSpeed me too.
Same
But I am here for myself
I literally have a Maths exam tomorrow and I had no clue on how I am supposed to estimate the value of square roots before watching this video. Thank you so much for making this video! You are a life saver!
It’s really a ballpark skill. Identify the 2 numbers your square root is in between, decide less than halfway so do your best guess, exactly halfway gets you .5 and more than halfway means another best guess. It’s tenths of a whole, so no biggie. Really this is something that you can almost do in your head. I realize I had the numberline and all that, but that’s to show my thinking process - how I get to my estimate. Any question on this is an exam should be quick - don’t spend a lot of thought on it.
For example estimate the square root of 46.
Write down thinking
6x6=36
7x7= 49
Estimated square root 6.8
Then move on to the next question. 😉😃🤗😎🤩
@@LetsDoMath Wow! Thank you so much for the tip. I didn't expect you to respond. Cheers!
I like to answer comments, and I want you to be confident for your exam and do your best on the paper so you get a great result. 😉🤗😎🤩
@@LetsDoMath 👍You just got a new subscriber!
Thank you very much! Did you click the bell to get notified of new uploads? I’m slogging away in something at the moment but I have decided to rework the last minute, so I have to re-record the audio. Yesterday I couldn’t get it done - tons of people were mowing their grass and I could hear it in my closet, where I record my stuff, then it chucked it down really heavily and I could hear rain noise! 😩 Talk about stuff holding you up! 🤗😉💕
I have test in advance math I hope this helps me for tomorrow
Me too. Best of luck! 😉😎🤗
Bro im in a test rn
@David Enatoh shhhhh
@David Enatoh thank you!
Tried and still confused guys, really recommend 😃👍
I am also still confused
still confused😀👍
wtf😂🤣
Sme
she made me 1000 more time confused wtf
SAME MY ANSWER IS 5.9
Same
When your teachers make you watch videos from over 2 years ago and expect you to understand
Read the comments this past week on this one. I think it might help you get what’s going on.
When you think thè youtuber has forgot about the video but, the RUclips comes herself
i got a 95 on my test thanks to this :)
Well done Samuel! You learned it, you EARNED it! Way to go!! 🤩🤗😃😎
@@LetsDoMath me too i want youre video cause im a loser in math but now iam a 1st honer in math hehehe
@@LetsDoMath what is approximate?
Nearly, it close to😃
@@manuelfranciscoguerrero8818 Now you understand it, that's great.
Thank you so much! My child is a fifth grader and wants to get ahead before she learns this. This helped greatly!!
That’s great! Thanks so much for your note. You could try her out with a few numbers to see how she does. When she has her estimate, she can go to the calculator and see how close she is. It builds so much confidence in a student to know they have really understood square root. 😃🤩🤗
Thank you very much! You are a great teacher who teaches with logic and concepts.
thank you so so much i am not even kidding i started this topic today and thought i wont be getting it and making my teacher go crazy hahahaha but i got it now all thanks to you:)
Well done indeed! I am LOVING the self confidence I’m hearing in your note! What a great way to start a Monday! 😃🤩🤗💕
Thank you so much for explaining to us. Keep up good work.
Thanks Samuel. Glad to help. 🤗😎
thanks mam ...we use the same way here to for teaching estimating the square root ,,,but for the 8th grade we use the inequality method to find the two whole numbers that the value of the root is located between ....have a nice day mam
Thanks for helping I got an A on my test thanks alot.🧠😃😄
ABSOLUTELY FABULOUS!!! I'm proud of you, way to GO!!!
Today I was in a test I hope I did good🤣🤣💀
absaahwootway fabewghus
Thank you, this video was very helpful
Good to know 😃🤗🤩
THANK YOU VERY MUCH, this helped me understand square root
Glad it helped!
thank god this exist my math teacher teaches very quickly and I dont get a single thing thanks
I teach to the 'rest of us', not the one or two kids in a class who get it straight away. 😉
By the way, if you scan through the comments on this video, you'll find bang-up instructions on what you can do to help yourself when your teacher goes, "ok then, estimate the cube root of this number!" It's actually quite manageable. You just have to think about it logically (as in the note I wrote about this idea) and not panic. You can get it... ALL of it! 😉😃😎💕
Thank you for saving me from my math test tmrw!😄👍📚📑📄
Did you do Ok in the test?
I’m sorry - I saw this when I’d just woken up. I was pretty bleary eyed and not wearing specs. The test is tomorrow!i see that now. Best of luck for tomorrow then. 🤗😉💕
In thumbnail: impress teacher
Lol
Ikr?! But let’s face it, who doesn’t get a kick out of surprising the teacher with your mathematical prowess? 🤔😆
Me here a couple hours before testing be like:
Best of luck on that test 😉🤩😎🤗
THANK YOU SO SO SO MUCH I AM AN 8TH GRADER AND THIS IS A LIFE SAVER
here from online school
this just saved my 8th grade math i have a test tomorrow and i was so confused. Thank you!!
Fab, glad to help! 😉🤩😃
Thank you i can answer this lesson easily now :)
Fabulous! Well done. You put some real thought and effort in here. 😃🤗😎🤩
@@LetsDoMath do u have a video about scientific notation cause thats our subject right now :)
@@Foolish_Hooman I don't, but I've been thinking about it. That's one of those things that can throw a person, but is not really that bad, once you get into it.
This is so straight forward thanks
Great! Glad we're on the same page. 🤗😃😉
How did you get 5.5, 5.6, etc?
I understand the rest but that part. Great video ❤
You should learn decimals and you will understand
You know what... I'm cool with just kind of eyeballing it, given that we are dealing with tenths. As long as it's the correct side of .5, it'll kind of do.
To be honest, that film took such a long time to make, by the time I got near enough, I was kind of done. Maybe I should have taken the time to put in another sentence about that, but I had put such a lot in at that point, with audio re-recordings, I'd kind of had enough. Sorry. Just look to get it in the right side of .5, and just - kind of guess. As long as it's a decent guess that you can defend, then it's ok.
Thank u very much this video really helps me for understanding the estimation method
We don’t have to be super-exact when we make an estimation, but we want to be close. The ideas in this video will also give you a quick check guide for your calculator, or if you have a multiple choice question.
Can you make a video about estimating the value of (n) to the nearest integer and to the the nearest tenth?
What the
This helped a lot!!!!!!!😊
Great stuff! 🤩🤗😃😎
Ah now I understand thank you very much I only needed that table
Glad I could help!
Umm.. I have a question
When the number is a negative when you do it in a number line do you do this
-1 -2 -3 0 1 2 3 4 5
Its for my exam because I don't get it pls answer
Your numberline is not right. Think if it like this... start at zero and count up by ones to the right (just like the scale on a ruler.
So you have a bunch of space
0. 1 2 3
And now from zero we’re going to count DOWN by ones, to the left. It reads like this
-3. -2. -1. 0 1 2 3
You don’t technically have to put a + in front of the positive numbers. If a number had no sign in front of it we know it is positive.
The practical example of a numberline that will probably come up in your exam is the scale on a thermometer. They will probably give some temperatures and ask at what point in the year these readings could have been taken.
I need to kmow how to use numberline on squaroots so i can answer my exam ang activity
This saved my life
It's not too bad, when you think of it like this. And somewhere in the notes, I think back end of last week, you can read an exchange between a student and myself, about estimate the cube root. I gave this person a really easy strategy for how to go about thinking it through. I think it solved their problem. Sometimes, you just need a way to think about things to get you started.
Great animation!
Thanks. I get a kick out of it.
So helpful thanks for posting this video I subbed. XD :D
Thanks for subbing! Glad it helps. When we get into the decimal part it's really about is it a bit over half (.6), nearly the next whole (.8 or .9) or somewhere in between. It's tenths, so any reasonable guess will do.
@@LetsDoMath thank you so much 😊
Hi. I came across the video and thought of suggesting this to the students to help them understand estimating square roots. I would like to ask your permission if I can use this as an additional reference on the module I am writing on. Dont worry I will give credits. Thank you!
Hi Nallie,
This is a super idea! Absolutely, please go ahead and quote the RUclips URL to this video. That's a great way to give your students a demo they can access in their own time.
My plan with the whole process in this video is to move students away from CCD syndrome. That's Complete Calculator Dependency! I don't know if CCD is really a Thing, but I certainly see it happening in classes around the city! I want students to understand what mathematics is about, and gauge a problem using brainpower. We should feel free to use a calculator, but know what we're looking at, and be ready to say 'well that sounds wrong!' and try again.
@@LetsDoMath I totally agree on that. Understanding the concepts and thinking critically are some skills that students need to develop to appreciate Math. Thank you for sharing your videos with us. This will greatly help the students, and teachers as well. More power!
this is a very good video!
Thanks. Glad it's helpful.
I have test tmr the estimate part helps
Glad to help.
Very helpful
Nice 👍
I’m sorry but I still don’t understand how you got a 5.8? Please help me
Example: 41
First identify the numbers our root is between (6 and 7)
6x6=36, 7x7=49
41 is 5 more than 36 and 8 less than 49. Root is less than 6.5. My guess: 6.3
Calculator says: 6.403... is the root of 41.
6.4 is a BETTER estimate, but mine is a tenth away. It's just an estimate, it's good enough.
Example from video: 34
Root is between 5 and 6
5x5=25 and 6x6=36
34 is 9 more than 25 and 2 less than 36
Estimate is MUCH closer to 6 than 5.
Really, you can gauge it on halfway (.5), less than halfway (just give your best guess) and more than halfway (again, just your best guess). 5.8 is my best guess. If it was 35 I'd have guessed 5.9.
Calc says: square root of 34 = 5.830...
If I'd have guessed 5.7 that would also have been pretty close.
Calc says: 5.7 x 5.7 = 32.49
Really the idea is that we can spot roughly where it should be.
The point of this exercise is to develop some independence from the calculator. Many people are slavishly calculcator-dependent. Whatever it says MUST be right, right? And the calculator responds to what we put in, so if we enter something incorrectly, you get an answer that's way off. We need to think about a problem for ourselves. That's what this video is about. I just want us to think about the likely answer so we can predict roughly what the calc is going to deliver. And if it doesn't, we know something is off. I hope that makes sense. I don't want anyone to stress over a tenth, but get into the habit of thinking and predicting, if we're using a calculator.
Ohhhh, alright, thank you so much! I have a test tomorrow so I’ll probably just try to do some exercises. If I have a question, do you mind answering it later on?
Not at all! Go ahead and ask questions, it’s how we set our heads straight and know we’re on the right path. I’ll be happy to answer questions.
Hi, I got an A- for my test today and thanks to your help, I passed! I’m starting a new topic now and it’s about rounding and estimating? It would be great if you help me out.. Thanks
@@strawberrylemmon5812 Well good for you! Way to go!
As for rounding and estimating, I never actually completed the vid I was working on. It was getting a bit long. I kind of abandoned it.
If I asked you to round 24 to the closest 10, what would be your answer?
How about 36? And 45?
This tells me where you're up to, roughly, right now.
Thank you so very much🙆🏻♀️❤
My pleasure! 😃😎🤩💕🤗
Why do we estimate a square root? Why don't we factor down to each number and rewrite the product of its square root factors to check by simplifying all the prime factors and get a whole number answer and the root can't and can simplifying using the whole number times a root(a whole number and a root)?
This thinking gives students just a quick gauge. I know the video is lengthy, especially considering the essence of the thinking is “what squares is it between?”, but when you realise this video is meant for a little development in our thinking about square roots. That means elementary school so I think it takes things as far as needed. What’s your feeling, concerning ages 10-12 take-up of these concepts?
Why did you choose 25 and 36 on the table
We have to find the square root of 34. I know that's not a number in our times tables, so I think what square numbers does that come between? 25 is a square number, and so is 36. 5 squared = 25, and 6 squared = 36. That tells me that the number I need to square (multiply by itself is between 5 and 6). I hope that written explanation helps you, though I think it's clearer using the working and notes on the screen in the video. Did you take down notes on what I do in the video? That will help you, I think. :o)
I did take the notes, I was watching this video so that way I could study for my test coming up on the 30
I understand now
@@soreal_steven Great. Remember, when you're estimating the square root, it's just that, an approximate. That number line lets us see is it a bit below halfway or a bit above. Above and you can guess .6 or .7, nearly at the next square number suggests .8 or .9. A bit below halfway suggests .4 or .3. Only a bit more than your lowest square number in the pair suggests .1 or .2. Don't sweat it on an approximating question though.
Have a go at this one. Approximate square root of 18?
So think: which two square numbers is 18 between? Now give me a guess. I'm here for 5 minutes then I have to hit the hay, I'm beat after more than a full day in the air.
4.3
How do you estimate cube roots? I’m struggling with this in math right now.
We know that a cube root is a number, x itself, x itself.
We can learn SQUARE numbers easily, because the first 12 of them are IN our multiplication tables knowledge.
When it comes to doing a module on cube roots, and estimating them, I think a useful strategy would be to set yourself up a dedicated page in your math notebook and show cube roots
1x1x1=1
2x2x2=8
3x3x3= 27
4x4x4= 64
5x5x5=125...
Keep going all the way to 12x12x12
Then if you have to estimate a cube root, at least you have a base of knowledge from which to start. It is likely that a teacher giving such a problem is only looking to see are you between the right two numbers. For example if they say 'estimate the cube root of 40. You'll know right away that it's between 3 and 4. It's a bit less than halfway between 27 and 64, so you're looking at some value a bit less than 3.5. I will try 3.4... And that comes out on the calculator as 39.304.
This strategy will work for you too.
Set up the page so you can cross-reference numbers they give you. Think: halfway, less than that or more than that. Then ballpark a guess. You GOT this!
Thank you!!
I have a test tomorrow and I’m the book they ask about multiple decimals like 4 and 3 how do I do that can u please tell me
Sorry, I can’t quite picture this. Please give me the full written problem so I can fully understand. 🤗
@@LetsDoMath nvm I asked my friend and I figured out
what If your dealing with numbers over 100 would you still use the same method?
Sure, though it gets a bit trickier past 144, since that's 12x12, and that's as far as we know off the tops of our heads. Or off the printed multiplication chart.
You'd have to give it your best guess to find the square numbers your target number sits in between. Hopefully if your teacher gives you this, they at least let you use a calculator to find what 14x14 is and 15x15 is. Otherwise, I'm afraid you're in for a few multiplications, longhand, in whatever method you prefer. 😃😉🤗🤔
thank you it help me with my exam
Great! That's super news.
Me secretly using my calculator on a zoom test
Uh-oh. Best to be honest and do it the way you're supposed to. That way your teacher can see, and if you don't get it, s/he can help you some more.
When you're in g7 and still can't figure out math
The most important thing we can acquire is confidence with the 4 operations, including mental math addition and subtraction, multiplication facts 2-12x tables. When you’ve got that stuff into permanent memory you will see those pattern relationships , for example in algebra, and that’s going to give you such a lot of confidence. 😃🤗🤩😉
hi @Lets Do Math i can not solve this problem (5+root10) estimate please help me
Estimate the root of 10, then add it to 5.
@@LetsDoMath so if we estimate root 10 it will be 3 after we add5+3=8 is that correct?
Close. I would not estimate root of 10 as 3, because I know that 3x3=9.
I would go decimal on this one.
But yes, then you add it to 5.
@@LetsDoMath ok thank you very much I understand
@@halaamin9781 great stuff!
how did you get 5.8 answer, i didnt see how you solve it
So you know how we find the two numbers we are between? Determine whether we are halfway between,below half or above half. Then just make your best guess. It’s an estimate. We’re dealing with tenths of a number. To be a couple of tenths out is not an issue BECAUSE it’s an estimate. The goal is to be in the right ballpark. Relax about it, you can totally do it. 😃😎🤗🤗
What’s the answer of 13 and 49 in estimated
I don’t understand pls tell me today or I will fail so pls reply and tell answer and tech me
Are you asking me what is the estimated product of these numbers? 13 x49?
I’m going to assume you are, because 49 is a square number, and it’s root is 7. If you have learned your tables you will know this.
When we estimate, we are rounding. When you start rounding numbers, you round to the closest ten.
So which ten is closest to 13? Is it closer to 10 or 20, the two numbers it sits between on the number line?
And what ten does 49 round to?
Next step: multiply those two rounded numbers together to get your estimated answer.
I won’t do your homework for you, but I am happy to help you so you can do it for yourself.
😃😉💕
thank you so much now i undersand i was tell my brother to give me an problem and he was give 48 and i get 6.9 and he say it was correst tmr i have quiz i hope i take good thanks for your help again
You got it! 48 is between the squares of 6 and 7 (36 and 49). It's VERY close to 49, so its root is very close to 7. 6.9 is exactly how I would answer, too!
@@LetsDoMath thank you I take 100 from my yest
Im back with another question this is our lesson but we use numberline to answer do u have a video with the same subject but using numberline to answer
I use a numberline here, and show you the difference between the square numbers. That’s how you determine is at halfway between (.5), less than half, or more than half. Did you not watch the whole vid?
I did watch it for 4times now im kinda getting into it
@@Foolish_Hooman So you have to think really in terms of that difference between the 2 square numbers either side of the target number. That's key to the estimate you come up with.
If I had to estimate the square root of 55... That's between the square numbers of 49 (7x7) and 64 (8x8). It's going to be 7.something.
55 is 6 away from 49 and 9 away from 64. Less than half. So the estimate must be under 7.5. I might go with 7.4. And then checking that just now on the calc, I see that generates 54.76. Good estimate then.
So... halfway (.5), less than half (best guess) or more than half (best guess). If you get the wrong whole number you're in trouble (cos you don't know your tables)! The decimal part is tenths of a whole one, it's in the noise, but being able to give a decent estimate is a useful skill. It means you will know if an answer has gone badly squirrelly on you, and you won't end up just copying down any old craziness your calculator throws out at you, if you accidentally put your problem in wrongly.
We want to avoid CCD (Complete Calculator Dependency).
Ok i understand but what if the requested number is 10 what should i do
@@Foolish_Hooman Start off by asking yourself: what square numbers is 10 in between?
IT WAS SO TAHT EASIER OMGOSHH THANK YOIU BECAUSE IAM SOO STUPED AN D NOW IAM KNOW OMGOSHHH IAM HATEDDD GRADE 6 MATHS😭😭😭
I'm glad to help out. If you're ever stuck in maths, just click on the playlists tab to see what I've covered. Can't find what you want? Send me a note and I'll check and send you a link if I've done a video to help. (o:
@@LetsDoMath okaii
I live in Poland .
And they said english won't help me in math lol
Glad to help with math AND English! 😉😃🤗
Thank you
How did you get 5?
At 2:11 the square root of 25 = 5, because 5x5=25
The square root of 36 is 6, because 6x6=36
The square root of 34 is going to be 5.something because 34 is between the square numbers 25 and 36.
It has to be 5.something because 34 is less than 36, so the root is less than 6.
I hope this helps you, BTS fan! ;o)
If you are confused, rewatch that video.
How can we do with large number
Honestly, I’d expect any question about estimating square root to fall inside our tables knowledge of 4 to 144. Then this thinking is easy to apply.
Im having difficulties on dis lesson maybe if i watch dis vid over and over again i will finally get it
Please take a look in the comments over the last week or so. Someone asked me how did I settle on my estimate and I boiled it right down for her. I think that will help you too.
@@LetsDoMath do u remember her usrrname
@@LetsDoMath can i ask something if the number i will be solving is 128 for an example how do i do it its 3 numbers not 2 can u please teach me
@@Foolish_Hooman LACHIMOLALA
Here's the note I sent that got the Ohhh! moment from her.
Example: 41
First identify the numbers our root is between (6 and 7)
6x6=36, 7x7=49
41 is 5 more than 36 and 8 less than 49. Root is less than 6.5. My guess: 6.3
Calculator says: 6.403... is the root of 41.
6.4 is a BETTER estimate, but mine is a tenth away. It's just an estimate, it's good enough.
Example from video: 34
Root is between 5 and 6
5x5=25 and 6x6=36
34 is 9 more than 25 and 2 less than 36
Estimate is MUCH closer to 6 than 5.
Really, you can gauge it on halfway (.5), less than halfway (just give your best guess) and more than halfway (again, just your best guess). 5.8 is my best guess. If it was 35 I'd have guessed 5.9.
Calc says: square root of 34 = 5.830...
If I'd have guessed 5.7 that would also have been pretty close.
Calc says: 5.7 x 5.7 = 32.49
Really the idea is that we can spot roughly where it should be.
The point of this exercise is to develop some independence from the calculator. Many people are slavishly calculcator-dependent. Whatever it says MUST be right, right? And the calculator responds to what we put in, so if we enter something incorrectly, you get an answer that's way off. We need to think about a problem for ourselves. That's what this video is about. I just want us to think about the likely answer so we can predict roughly what the calc is going to deliver. And if it doesn't, we know something is off. I hope that makes sense. I don't want anyone to stress over a tenth, but get into the habit of thinking and predicting, if we're using a calculator.
Due to covid, I never tackled this
Thx bro
Any time!
I dont understand how you got 5.8
Hiya. We're estimating the root of 34. We know 5x5=25 and 6x6=36. So the root of 34 must be between 5 and 6.
It's much closer to 6 though, right? Because there's only 2 difference between 34 and 36, and there's 9 between 25 and 34. We know our root must be higher than 5.5 (halfway), so as we're now into the tenths, I'm not that bothered about high degree of accuracy, so I just take a hipshot for 5.8. It's good enough, it'll be about right. And if you plug it into a calculator you'll see you get 5.8309... 5.8 is a great estimate. 5.7 would have been fine too. 5.6 a bit low and 5.9 a bit high. Remember, it's the tenths, and it's an estimate. It's not a big deal if you're a bit out. It WOULD be a big deal if you estimated the square root of 34 at 6.5 though. Do you see?
Don't stress it, look for the 2 numbers it's going to sit between, determine whether it's halfway, less than that or more than that, and take a hipshot, like me. It'll be fine if you just stick with that. An estimate is a guess, a ballpark, nobody's expecting you to hit it exactly on the head. We do this so we can get a quick check in our heads of what we think the square root should be. That way, if our calculator has a little slip (or we do, entering the numbers), we THINK before we take its answer. That's all this is for, really. Engage your brain as well as the technology. :o)
@@LetsDoMath ok
THX for saying not to use a calculator
Of course. Most of our square root work later on will be on a calculator, but from the get-go students need to be able to gauge whether an answer is sensible, to be really thinking about what it's likely to be. That's why estimating a root is important. And that's why I don't really care too much about a close estimate, just in the 'reasonable' range is perfectly fine.
Do you have a video about estimating square roots with squares?
I have a few videos about square roots.
Firstly Square Root for Beginners: How to find the sidelength of a square when you know its area: ruclips.net/user/edit?o=U&video_id=IwUdY_2d_2Q
Then there's Introducing Square Root(using the sign, writing the sign correctly, some examples)
ruclips.net/user/edit?o=U&video_id=KhkS0BqHmB0
And then there's How to Estimate Square Root (to 1 decimal place): ruclips.net/user/edit?o=U&video_id=dKC7r2BNjTg
I hope those help you. :o)
edit: 'couple of videos' became 'few videos'. I thought I'd done 2, but it's actually 3, when I went to get the URLs for you. :o)
who’s here from mrs. dobson?
Lets do math why don't you make an discord server where we can ask sime question it cause we can send pictures of our question in discord i would love to send you my lesson and have you teach me cause im really having a hard time on math thank you for your help i got better:)
This is an excellent idea. The one difficulty I can see though, is the potential for people asking a question and hoping/expecting a quick reply. And I'm just one person, I'm concerned that I might not answer fast enough for people. At least this way with the dialogue on the actual vid in YT, other people can read the thread and may find their own question here, along with the help I've already given someone else.
I may have to keep it to the YT forum on each video, just thinking this through as I write my reply to you now. I do like that discussion space idea though.
I'm glad you got better at this today. Glad to help you out.
What's the answer of the square root of 37?
Think about it... you know the square root of 36. What do you think the square root of 37 might be.?
6.1
lol here from online school 😥
Uh-oh. I see you're upset about it... sorry about that.
Guys doing 2021 GCSEs good luck.
I echo that sentiment! Best of luck to EVERYONE sitting an exam this time around!
How it is 5.8 it is on 9 line please tell
It's an estimate - it's close enough. I'm showing a thinking method that helps students work through a problem using logic. I showed 5.5 on the line, then worked out its approximate square value, I showed that clearly the square root lies somewhere between 5.5 and 5.9. Then I just took my best guess. That's all you do. Nobody will mark you wrong on an estimate if your guess 5.7 and they are expecting 5.8. But if you said 5.2, that would be too low.
I hope this makes sense, Zainab.
Who here from Google search!
I'm tryna find the estimate sq root of 164, so this is already pain because my answer is 12.8, but others say it's 12.81
Dude! 12.8 is awesome. 12.81... seriously? It's an ESTIMATE! They want an extra 1/100 in the answer?!?!? I need a moment to go outside and cool off, cos that's making me a bit cross! I'll say it again... it's an estimate. You are golden with 12.8, don't let someone try and badger you into an extra hundredth. If you are finding it and then showing it correct to 2 decimal places on a calculator, then that's a different story, but for an estimate, 1 dp is all I'd expect, for sure!
@@LetsDoMath thanks!
😃🤗😉
Shit I'm failing maths next year lol
Uh-oh. Let me know how I can help. First port of call though... playlists. Check 'em out, fill in knowledge gaps, drop me a note. :o)
It's hard to predict or guess that something
woah thanks :)
You’re welcome! 😃
What-
So, basically:
starting_number = 25
total_distance_between_25 _and_36 = 11
trial 1:
is (starting_number + half of total_distance= 34)?
is (25 + 5.5 == 34)?
30.5 == 34 --> is False, not even close to 34...
trial 2:
starting_number + 3/4 of total_distance = 33.25
33.25 == 34 --> Quite close...
trial 3:
starting_number + 8/10 of total_distance = 33.8
33.8 == 34 --> Pretty darn close...
Answer:
distance_traveled = 0.8 aka 8/10 of total_distance
starting_number = 5
total_distance_between_6_and_5 = 1
√34 ≈ starting_number + distance_traveled * total_distance
√34 ≈ 5 + 0.8 * 1
√34 ≈ 5.8
you can use this code in case your computer (somehow) unable to perform square root operation that results in decimal number (not whole number).
edit: grammar
Still confused wtf :)
You have a number, let's say it's 22, and we have to estimate the square root. An estimate is called for because 22 is not a square number (no whole number multiplied by itself is 22).
So we say what square numbers does it sit between? 5x5=25 and 4x4=16.
The square root of 22 is therefore going to be somewhere between 4 and 5. 4.something then.
Consider how close to the two different square numbers 22 is. 16 and 25... it's much closer to 25. So the square root must be higher than 4.5 (halfway). We're dealing in tenths, so it's just a guess. I'm going to guess 4.7.
When I compare that with actual calculator findings... I discover that the square root of 22 is actually 4.69. Very nearly 4.7
I could have guessed 4.8. If I square 4.8, it's 23.04. A bit high.
I could have guessed 4.6. If I square 4.6, it's 21.16. A bit low.
But even if I had gone with 4.8 or 4.6, it still would have been pretty darn close, and therefore good enough.
An estimate is a guess. Use logic to get your best guess. Like I did in the vid, like I did here in this extra example.
And to help you a bit further, if my number had been 24, I would have gone with an estimated root of 4.9
If it had been 23, I'd have gone with 4.8.
21: I'd have estimated 4.6
20: I'd also have estimated 4.5 - it's 4 more than 16 (the square of 4) and 5 less than 25 (the square of 5)
19: I'd have estimated 4.3
18: I'd have estimated 4.2
17: 4.1
I’m dumb
Thank
No problem
@@LetsDoMath please make more kid
Don't relpy
Why do I actually get this...
Because you get square root! Good for you.
Great we'll done for teaching learning but it's "maths" not American "Math" it has to be plural! :)
Sorry if ‘math’ bugs you. It’s a big world and in some locations it’s ‘maths’ and in others, ‘math’. I am happy with either term, we all know what we’re on about. The fact is, ‘math’ is quicker to say, by about a second per utterance. 😉 Every second counts, and all that... 🤗😊
use calculator👍
Ah😫I am confused and tomorrow is my test😫
What level/grade is the test? Knowing this will help me guide you in my answer.
Im trying to estimate the value of 38 to the nearest integer and to the nearest tenth
I figured out the first part = 36/6---or 25/5
Which is 6 but I don't know what to do with the nearest tenth....😅
Try and follow the method. It’s between 6 and 7 because 6x6=36 and 7x7=49, but it’s very close to 36....
For the nearest tenth you just give it your best guess. 38 is very close to 36... hint hint, very small decimal in there....
Then give it a go on your calculator. See if it’s a decent guess. It’s just an estimate, it’s not expected to be bang on.
Okay so I counted backwards with the 6.9 on the numberline because 36 is behind the 38. Then I got 6.2! I think that's at least correct. Not sure if I did the method right though.
Also thanks so much for replying to me, your comments did make everything more clearer to me!!! 😁
Okay for beginners...
And that’s who it’s aimed at. 😉
Why 5 point smth not 6
The number we’re investigating is 34. The square of 5 is 25 and the square of 6 is 36. 34 is less than 36, so the square root of 34 is less than the square root of 36. The square root of 36 is 6, so we are looking at LESS THAN 6, but more than 5. That’s why it’s 5.something. 😉
Thank you so much keep going
@@zainabfaisal5750 I'm just finishing the final video on Fractions to Decimals, and then I'm doing a series on Multiplication. It happens all the time that this is a sticking point for kids. There's always one or two kids who have learned their tables independently, and they are miles ahead of the others in the class because of it. I think it's time to change that. I want kids to learn their tables so everyone feels they CAN do it, and no-one feels they are not good enough.
So if you're not that good at multiplication, get ready for the Multiplication playlist. It's on its way!
Omg😱😱 thanks to you that I got a A+🤯🤯
Awesome! Guess what?! Now you’ve done this once, you know you can score A+ again!!’ 🤩🤩🤩
what is the meaning of table knowledge....is it important to find the decimal value of the
non perfect square numbers i think its confusing for the 6th grade
Hi Mohamad.
'Table knowledge' is multiplication fact recall. That 2x2=4, 3x3=9, 4x4=16 and so on. You'd be amazed how many kids don't know their tables and it causes so much upset for them as they struggle with it.
The reason why I want kids to be able to gauge a square root of a non-perfect square number is to avoid calculator dependency.
I don't like seeing kids grind to a halt when presented with a non-perfect square and have to find its root. When that happens, they are just lacking this simple thinking tool, and I want them to have it onboard.
When people have that culture of 'can't do it instantly, so grab a calculator', they can end up with silly mistakes because... garbage in, garbage out.
It's easy to make a mistake entering values into a calculator, and if you haven't THOUGHT about the probable answer, you'll believe any old rubbish the calculator tells you. BECAUSE the calculator tells you.
That's what I'm trying to help kids avoid. I want them to build their understanding and numeracy skills, and to me, being independent of a calculator, then using it to check their work is a strong step.
When I made this film, first I had used the concept of 'finding the sidelength of a square from its area', but when almost finished, I changed my mind and reworked it, deciding to use a numberline and square numbers only, simply considering square numbers and their roots, THEN apply that thinking to area of a square and finding its sidelength at the end. For me, estimating to 1 decimal place makes perfect sense because when you measure for area, you can go down to mm, so 1 decimal place is all you need.
I hope that makes sense. Thanks for your question.
yes
you kind of sound like emily from friends
Ah yes. Well, we're both very English. She's from the south though, and I'm from the north. She would have a long 'a' in grass: (grahss). I have a short 'a': grass.
Use heron's method
Root n=(n+ root Q)÷2Q
Still confused
Don’t panic. Eg: 18
Step 1: find the 2 numbers it must be between.
4x4= 16
5x5=25
The answer is going to be 4.something
18 is only 2 more, so I’m going to go with 4.1
I’m inspecting the number and making a guess to that decimal part. It doesn’t have to be accurate - as long as you have the right whole number part, the estimate is in tenths.
So you’re going to first identify the whole number. Then you think about the given value: is it halfway between the two squares? If yes, you put .5. If less than halfway you’re best guess on .1,2,3 or .4. If more, your best guess on .6,7,8 or .9.
You’re doing an estimate, it’s a guess. As long as you can give a reason why you picked it, you’re all good. You CAN do this. 😃🤗🥰
it is confusing ,try a much more simple way of teaching
It hinges on you being able to spot the square numbers between which your number sits. I've made it as simple as I can, sorry you were confused.
@@LetsDoMath thank u I got the point🌷
@@zahraalaali2886 If you can do it now, that's fab! Way to GO!! 🤩💕
not much .... help ful :/
Hlo
👋👋👋
uuuuuuuuuuugh
Jonah, the main point of this is that we can gauge between which two whole numbers our square root is going to lie. The decimal part, you can just ballpark. You need this because it's a mental check against a calculator brainfart. You ever seen one of those? You need to know if your answer is crazy. When that happens, it's usually that we put something weird in, but of course, we always tend to believe the calc, because... it's a CALC. This skill is about putting ourselves in the power position, not the calculator. Bottom line: don't sweat the decimal value too much: halfway, less than half, more than half. Just guess! It's only an estimate. 🤩😃😎🤗