TECMath - Order of Operations - By tecmath
Transcript
00:01 | Hello . Welcome to the next video show you how | |
00:03 | to do things . This one is on body mass | |
00:05 | , uh the order in which you do equations . | |
00:07 | So we're gonna start out with a good example three | |
00:10 | plus two times seven . And I want you to | |
00:12 | quickly work that out . I'll give you a few | |
00:13 | seconds . Okay ? Now which answer did you get | |
00:22 | ? Did you get the answer of 35 or perhaps | |
00:25 | 17 ? Well , I'm here to tell you right | |
00:28 | now that if you've got the answer of 35 , | |
00:30 | you are in fact incorrect . The correct answer with | |
00:32 | 17 . So we're gonna be looking at why this | |
00:35 | is the case . First off , we'll have a | |
00:37 | look at the different ways that you might have got | |
00:39 | your answer . We'll look at the wrong way of | |
00:40 | doing it . First you got the answer 35 . | |
00:43 | So the way I'm guessing you probably did this if | |
00:45 | you've got the answer of 35 is like this first | |
00:49 | you went three plus two and you've got five And | |
00:52 | that left you with five times 7 And then five | |
00:56 | times 7 Gave you the answer of 35 . Yeah | |
01:00 | . Well incorrect . If you've done it that way | |
01:03 | , I'm sorry to break it to you , The | |
01:05 | good news , is that right now ? I'm going | |
01:07 | to show you the right way of doing it . | |
01:08 | So we'll have a look now if you got the | |
01:10 | answer is 17 , this is probably the way you | |
01:13 | would have done it and this would have been the | |
01:14 | right way of doing it . First off , you | |
01:17 | have gone two times seven , two times 7 gives | |
01:21 | you 14 , this leaves you with three plus 14 | |
01:24 | , 3 plus 14 gives you 17 and 17 , | |
01:27 | like I said , is the right answer . Now | |
01:31 | the reason one of these is right and one of | |
01:32 | these is wrong is because in maths there's a particular | |
01:35 | way that you have to do equations of particular order | |
01:38 | and as you can see and as you have seen | |
01:41 | affects your answer . Okay , This can be easily | |
01:45 | remembered . You probably remember from high school is the | |
01:47 | idea of biomass or possibly bombed us . What this | |
01:50 | means is this is the order in which you do | |
01:53 | an equation . First off , you do anything with | |
01:55 | brackets . The next thing you do is anything which | |
01:59 | is orders . This means things like squared , cubed | |
02:02 | or even the square root . The next thing you | |
02:06 | do or any division multiplication and you just these left | |
02:09 | to right . Like you're reading ascends next thing you | |
02:12 | do is any addition or subtraction again , left or | |
02:15 | right . So we use this to answer a few | |
02:18 | questions and to get the right answers . So first | |
02:21 | off we'll have a quick look applying this with the | |
02:24 | question we just did three plus two times seven is | |
02:27 | two operations here , there is addition and multiplication . | |
02:30 | Now we use the word body mass . There's nothing | |
02:32 | in brackets . There's no orders . The division multiplication | |
02:35 | has one there . That's the two times seven . | |
02:37 | So this is one we do first , two times | |
02:39 | 7 is four day . Last of all , we | |
02:43 | do the addition . So three plus 14 Gives us | |
02:47 | the answer of 7 , 8 . Okay , nice | |
02:50 | and easy using body mass . We'll have a look | |
02:54 | at another question . This one here , five plus | |
02:57 | four squared times three . Now we go through body | |
03:00 | mass . There's nothing in brackets but there is some | |
03:02 | orders . That's the four squared . four squared means | |
03:05 | four times 4 44 16 . So We get the | |
03:11 | question 5-plus 16 times three . So what part of | |
03:18 | the question do we do now ? Now looking at | |
03:20 | body mass ? What we do is the multiplication 16 | |
03:24 | times 3 , 16 times three gives us 48 . | |
03:28 | So this leaves us with the question five plus 48 | |
03:32 | . To which the answer now can easily be worked | |
03:34 | out is 53 . We'll have a look at one | |
03:39 | more example . Okay , this one is gonna be | |
03:41 | a little bit harder . So right now going to | |
03:44 | get you to work out three open bracket six plus | |
03:48 | two over the square root of 16 , just give | |
03:51 | you a little hint If your number live this three | |
03:54 | , six Plus 2 parts . What it actually means | |
03:56 | is three times six plus two brackets . So we | |
04:00 | have a quick look about body mass . First . | |
04:03 | You want to see there is there something in brackets | |
04:05 | ? So this is the part we do first six | |
04:07 | plus two because this leaves us with the question Three | |
04:11 | times a day over the square root of 16 . | |
04:15 | Going along next with body mass , there's something in | |
04:17 | order . So we do that part next . That's | |
04:19 | the square of 16 . So the square root of | |
04:21 | 16 , It's four . This leaves us with the | |
04:24 | question three times over four . What do we do | |
04:29 | now ? Well girl across , We do the times | |
04:33 | part . So three times a 24/4 And then 24/4 | |
04:40 | gives us the answer of six . So if you | |
04:44 | can remember all these things with body mass , they | |
04:46 | should do something with brackets . The next part you're | |
04:48 | going to do is anything with orders ? The next | |
04:51 | part you're gonna do is any divide multiply ? The | |
04:54 | next part you do is any addition subtraction . You'll | |
04:56 | be fine working these out . Okay , good luck | |
04:59 | with that . |
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