How to square any number mentally - fast vedic math trick - By tecmath
Transcript
| 00:01 | Good day . Welcome to the Tech Math channel . | |
| 00:03 | What we're going to be having a look at in | |
| 00:04 | this video is a way of squaring any two digit | |
| 00:07 | number . That is a way of multiplying any two | |
| 00:10 | digit number by itself fairly instantly . Okay , so | |
| 00:14 | sit back and enjoy , Yeah , I'll give you | |
| 00:17 | an example to start off . So how fast can | |
| 00:19 | you do ? 32 squared ? I'll give you five | |
| 00:23 | seconds . Okay . Time's pretty much up . Okay | |
| 00:29 | , hopeful . The answer that you get is 1,024 | |
| 00:33 | and if you did , if you got that , | |
| 00:35 | that's pretty cool . Right . That's that's pretty impressive | |
| 00:37 | . Congratulations . That's correct . If you didn't , | |
| 00:40 | don't worry , I'm going to show you a way | |
| 00:41 | of working this out . Okay ? So sit back | |
| 00:45 | and you'll pick this up pretty quickly . Now , | |
| 00:47 | a couple of steps involved in doing this . The | |
| 00:49 | first one , what we do is we find the | |
| 00:51 | distance . Well , look at this number here , | |
| 00:53 | the number being squared obviously . And we before the | |
| 00:58 | distance between this number and the nearest tens number . | |
| 01:02 | Okay , so the nearest tens number 2 32 is | |
| 01:05 | 30 . So the distance between 32 and 30 is | |
| 01:08 | too okay . Yeah , that's the first step . | |
| 01:11 | This is something you can do usually do pretty quickly | |
| 01:13 | . Okay , now we use this to for pretty | |
| 01:16 | much every step that we're going to be going on | |
| 01:17 | with now . Okay , the first thing we do | |
| 01:19 | is we take this to away from 32 To get | |
| 01:23 | 30 and we add this to to 32 to get | |
| 01:25 | 34 . This is all stuff you can do in | |
| 01:28 | your head pretty quickly . Okay ? We're going to | |
| 01:31 | get these numbers and multiply them . This is the | |
| 01:34 | biggest step . Okay , so this is the same | |
| 01:37 | as sort of like three times 34 with an extra | |
| 01:39 | zero on top . So we're gonna be going 30 | |
| 01:42 | times 30 which is 904 times 30 which is 1 | |
| 01:46 | 20 so 1000 and 20 . Okay , So we | |
| 01:53 | multiply this that we get 1020 . And the very | |
| 01:56 | last thing we do is we just add the square | |
| 01:58 | of this number is no , this difference number two | |
| 02:01 | . Our answer . So two squared is four . | |
| 02:04 | We're gonna add these together . And if we do | |
| 02:06 | we get our answer here , 1,024 . Okay . | |
| 02:10 | So I'll just go through the steps again . We | |
| 02:11 | find the distance between this number and the nearest tens | |
| 02:15 | number , the number being squared , which is to | |
| 02:17 | we take this number away from the number being square | |
| 02:19 | we added to the number being squared , so 30 | |
| 02:22 | times 34 and then we add this that was squared | |
| 02:27 | to our result . Okay , It's not too bad | |
| 02:29 | . Okay , give it a few guys and you | |
| 02:32 | will get really really quick at doing this . Obviously | |
| 02:34 | some are going to be a little bit harder than | |
| 02:36 | others but it works for all numbers . There are | |
| 02:39 | two digits . So what about I'd give a few | |
| 02:41 | examples here . Oh go just a little bit uh | |
| 02:44 | go a little bit harder now . What about we | |
| 02:46 | do 33 squared . So what about you pause this | |
| 02:52 | and work through this ? Or you work through this | |
| 02:54 | with me ? And then you pause if you later | |
| 02:56 | ones . So the first step we're gonna do is | |
| 02:59 | the distance between this and the nearest tens . Number | |
| 03:02 | 10 . Number 30 . So the difference is three | |
| 03:05 | We take it away we add it to okay so | |
| 03:08 | we take this away from 33 , we get 30 | |
| 03:11 | , We add this to 33 and we get the | |
| 03:14 | answer of 36 . Next step Here we multiply these | |
| 03:18 | so 30 times 36 . This is pretty much the | |
| 03:21 | same as 900 plus 180 . So 1080 . Okay | |
| 03:29 | . 30 times 30 906 times 30 uh 18 . | |
| 03:33 | So we're going to add that on which was 1 | |
| 03:35 | 80 . Okay . The last step is we add | |
| 03:41 | this number square to it , so three threes annoying | |
| 03:45 | . So what's the answer ? 1000 and IT . | |
| 03:49 | knowing hey not too bad . Right , this is | |
| 03:53 | obviously the hardest step just here . So that's something | |
| 03:56 | you'll have to get used to . Look . I | |
| 03:58 | do have a video where I look at how to | |
| 04:00 | multiply these out fairly quickly these answers . So what | |
| 04:03 | about I do a bit of a harder one will | |
| 04:06 | do 68 squared . And look I reckon a few | |
| 04:13 | people may get a tiny bit of confusion here because | |
| 04:14 | they might even start looking at the nearest tens , | |
| 04:16 | They were being 60 . No , no it's not | |
| 04:18 | . But they may the nearest tens number here is | |
| 04:21 | 70 . So we're only two away from that . | |
| 04:24 | Okay , So again , we do the same process | |
| 04:27 | , 68 take away two is 66 68 plus two | |
| 04:31 | is 70 . So we're going to multiply these . | |
| 04:34 | This is fairly easy . Right ? Because this is | |
| 04:35 | going to be all right . This is going to | |
| 04:38 | be Basically 420 plus 42 with a zero on the | |
| 04:42 | end . Okay . So if I was to do | |
| 04:44 | this , what I'd end up getting is the answer | |
| 04:48 | of 462 . Okay . 462 With a zero on | |
| 04:54 | the end . Okay , so 4620 . Okay . | |
| 04:58 | We multiply these out . The last thing we have | |
| 05:01 | to do is at this number square to a result | |
| 05:05 | . So two times 2 is four and answer 4620 | |
| 05:12 | . Okay , pretty easy . Right . Again the | |
| 05:14 | way I did that was seven . Sixes are 42 | |
| 05:17 | so 420 plus 42 because it's 66 . Okay . | |
| 05:22 | So we get 462 but with a zero on the | |
| 05:25 | end . Okay . What about one last example ? | |
| 05:30 | Hopefully doing pretty well with these and definitely write up | |
| 05:33 | your own examples and check to see that it works | |
| 05:36 | so 77 squared . Can I ? We've got a | |
| 05:42 | few lines there . Someone commented that they really like | |
| 05:45 | it . People do that . Don't worry . That's | |
| 05:46 | probably the only time I'll do it . Um Yeah | |
| 05:51 | . Mhm . How do we do this now ? | |
| 05:53 | So we look for the nearest tens number . Okay | |
| 05:56 | . In the nearest 10 numbers 80 . Where ? | |
| 05:57 | Three away okay so we take this away from 77 | |
| 06:02 | We've got 74 and if we add this to 77 | |
| 06:07 | we have Heidi . So let's multiply these numbers out | |
| 06:11 | . Okay we do this 78 to 56 48 to | |
| 06:14 | 32 . So pretty much we're going to get 560 | |
| 06:18 | plus 32 . So that's going to be +592 where | |
| 06:23 | they happy little zero on the end because of this | |
| 06:26 | . Okay , now what we're gonna do this just | |
| 06:29 | add three squared . So three squared is nine , | |
| 06:32 | answer 5929 . Anyway , how'd you go with those | |
| 06:39 | ? Hopefully you find that really really great little trick | |
| 06:42 | . I think it's a really really awesome little trick | |
| 06:44 | , that one . Um Anyway let me know , | |
| 06:48 | sending comments and a question , anything like that and | |
| 06:51 | I'll speak to you next time I see you then | |
| 06:53 | . Bye . |
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