Converting to Scientific Notation - By tecmath
Transcript
| 00:03 | standard form and scientific notation . The two ways of | |
| 00:07 | writing exactly the same . An example of this , | |
| 00:11 | There's a number like four 100 70,000 . This number | |
| 00:18 | . And also they've written in scientific notation , There's | |
| 00:23 | 4.7 times 10 before . It's very important that you're | |
| 00:32 | able to convert when there's two ways of writing . | |
| 00:35 | No . And it is quite an easy thing to | |
| 00:38 | do . The first thing I want to have a | |
| 00:40 | look at is this number over here . 10 to | |
| 00:45 | the five . Just to make sure you're okay . | |
| 00:48 | What we're looking at there ? 10 to the five | |
| 00:50 | also means 10 by 10 . What's can point How | |
| 01:00 | much ? Which equals one with 1 34 five Zeros | |
| 01:06 | after it . Okay , so this is just another | |
| 01:11 | way of writing 4.7 time 100 doesn't Which 470,000 ? | |
| 01:26 | Yeah , That's one way you convert , you could | |
| 01:29 | work out with 10 to the whatever is . You | |
| 01:32 | get to work it out and then times about 4.7 | |
| 01:34 | or whatever your number is as you get your out | |
| 01:36 | there isn't an easier and faster way and then I'll | |
| 01:39 | show you right now . So if you want to | |
| 01:41 | convert from scientific notation of standard form , the first | |
| 01:45 | thing I generally do was here I would write down | |
| 01:48 | this four points . Okay . All right down just | |
| 01:52 | here for 0.7 . Yeah . Whenever you're multiplying by | |
| 01:57 | anything like 10 or 100 or 1000 or 100,000 , | |
| 02:02 | all you're doing is you're moving the decimal place and | |
| 02:05 | you probably realize that Example This is say at nine | |
| 02:09 | and you times it by 100 . Well the answer | |
| 02:14 | is knowing different places there , You've moved the desk | |
| 02:18 | in place two times 1 , two . So the | |
| 02:21 | answer is 900 . Okay , it's just a matter | |
| 02:24 | of moving the decimal place . Now . Here you | |
| 02:27 | have to move the decimal place . Five talk . | |
| 02:31 | Okay , so it will do that right now . | |
| 02:35 | Film this request moves one mm . Sorry ? Uh | |
| 02:40 | huh . Five times and here I just put zeros | |
| 02:49 | so there's some places down here But I just get | |
| 02:54 | rid of that one is there ? So the answer | |
| 02:56 | is 407 . Okay , pretty easy . Ever want | |
| 03:03 | to say work a standard form number and change it | |
| 03:06 | into a scientific notation number ? Well the example here | |
| 03:09 | of 470,000 what I would do ? Well oh look | |
| 03:14 | at where I would want to place a death in | |
| 03:16 | place to make it a scientific notation which would be | |
| 03:18 | just there at the moment . The decimal places just | |
| 03:21 | there . So The first thing I'd write it is | |
| 03:24 | 4.7 Times 10 times 10 to do something . But | |
| 03:29 | I need to work out what it is . And | |
| 03:31 | the amount that's going to be is how many times | |
| 03:32 | I need to move the decimal place to get from | |
| 03:35 | here . You hear ? One two read for for | |
| 03:41 | a start . Okay . Istanbul . It was the | |
| 03:45 | same as that there . Okay , pretty easy . | |
| 03:48 | I'll run through another example . Okay , so I | |
| 03:53 | have a number like 1.7 , 8 times 10 to | |
| 04:00 | the north . A nice big number . And I | |
| 04:02 | want to change into a standard form number . Okay | |
| 04:05 | , so what do I do or then it's 1.78 | |
| 04:08 | And I'm going to move the decimal place . nine | |
| 04:11 | part . Okay . Which is shown ? Okay . | |
| 04:17 | 123 456 monopoly zero . No . Okay . Yeah | |
| 04:30 | I put it . Okay , so I'll just get | |
| 04:33 | rid of that nice little decimal place there . So | |
| 04:38 | the answer here is 1780 million . Okay . What | |
| 04:47 | about evolve and change from standard form number ? Something | |
| 04:49 | silly like 20 seven million . And I want to | |
| 04:57 | change it into a standard form number . Okay , | |
| 05:00 | so what I do his first old right down This | |
| 05:06 | part just here , there's 2.27 . Drive down 2.7 | |
| 05:11 | 2010 to the power of civil war , wow . | |
| 05:19 | One 234 Well , see so 10 to the same | |
| 05:27 | . Okay , nice and easy . Should be getting | |
| 05:31 | used to this by now . We'll just go through | |
| 05:32 | one example which is a little bit different . They're | |
| 05:36 | quite often to represent very , very small numbers . | |
| 05:39 | Get things written like this 4.5 times team to the | |
| 05:47 | negative seat . Okay , this negative six here without | |
| 05:51 | getting too technical . It's like riding , it's not | |
| 05:54 | getting 10 times 10 times 10 . This time is | |
| 05:56 | actually getting 1/10 times 1/10 which is 100.1 point 1.1 | |
| 06:02 | . It's getting a very , very small number . | |
| 06:05 | So if you're trying to work this out and trying | |
| 06:07 | to change it into , I know what you're standing | |
| 06:09 | for , the really easy way to do . It | |
| 06:11 | is right down your 4.5 It's 10 . Now moving | |
| 06:14 | your decimal places that way instead you're moving this one | |
| 06:18 | so I'll move them . You probably guessed six times | |
| 06:22 | 12 three or for six . Put the zeros there | |
| 06:30 | . The decimal place now ends up there . Uh | |
| 06:34 | huh . My answer is 1000 0045 are really , | |
| 06:41 | really , really , really small . Now if you | |
| 06:46 | want to change say number like this into a scientific | |
| 06:50 | notation number , you start with the decimal place , | |
| 06:53 | they're going to want to get the decimal place there | |
| 06:54 | and you just count how many times you have to | |
| 06:56 | move up 23456 . So it would be 4.5 . | |
| 07:04 | Don't stand To the -6 . Now , a lot | |
| 07:10 | of people I've noticed occasionally confused about which way they | |
| 07:14 | have to move the decimal place , you know ? | |
| 07:16 | That's all well and good right now , so that's | |
| 07:18 | fine . Yeah , then you get something that looks | |
| 07:20 | a bit like this , okay , it's not so | |
| 07:23 | bad right now , it's fresh in your head , | |
| 07:25 | but give it a few weeks time and all of | |
| 07:27 | a sudden bit confusing the way I remember which way | |
| 07:31 | I'm going to end up having to move this decimal | |
| 07:33 | place this way or this way is like this , | |
| 07:37 | that's why the simple use of a number line now | |
| 07:40 | , all of you can probably draw one of these | |
| 07:43 | zero just here . Yeah , as you probably guess | |
| 07:47 | , Let's start putting a 123 that way , Which | |
| 07:50 | are positive and uh -1 of honest too of one | |
| 07:54 | is 3 . That way they're negative . It's actually | |
| 07:59 | with this , it's a similar way Which way you'd | |
| 08:02 | be moving the decimal place to say 10 to the | |
| 08:05 | four here , it has more clothes . 3.72 . | |
| 08:10 | The decimal place . He's going to move this way | |
| 08:15 | . Life for positive of a life for us here | |
| 08:17 | . So 1234 . Okay , the answer becomes 37,200 | |
| 08:23 | . It was a question a thing like this where | |
| 08:26 | it was 1.68 times seem to the bonus for Okay | |
| 08:35 | , One is four . You move in this direction | |
| 08:38 | on the number line , it's the same with the | |
| 08:39 | death . Will place 123 for trump . Anyway , | |
| 08:48 | I'm going to leave it now . I hope you | |
| 08:50 | go okay with those . We'll see you next time | |
| 08:53 | , right ? |
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Converting to Scientific Notation is a free educational video by tecmath.
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