Viral math that divided the internet SOLVED using PEMDAS BODMAS - Free Educational videos for Students in K-12

Viral math that divided the internet SOLVED using PEMDAS BODMAS - By tecmath

Transcript


00:0-1	Good day . Welcome to Tech Math channel . Today
00:01	we're gonna have a look at a very important topic
00:03	in Math , which is called the order of operations
00:06	. Then on top of that , what we're going
00:07	to do from there is we're going to have a
00:09	look at a few of these click batey type viral
00:11	math problems that you surprise , surprise the order of
00:14	operations . Some ideas miss particular video and you'll be
00:17	able to claim like you don't know you're a genius
00:19	or you're on a certain divine of the internet or
00:22	whatever like that . So the order of operations is
00:24	just a set of rules in matter will tell you
00:26	the order in which the part of an equation have
00:29	to be done . So I'm going to show you
00:30	the importance of the order operations by giving you an
00:33	equation to solve right now . This equation is as
00:36	follows , two plus three times five , nice and
00:40	easy . But depending on how you approach is you
00:43	might get one of two answers as follows . So
00:45	first off you could approach this equation and just go
00:49	left to right . You can first get to and
00:51	you can add it to three . A case of
00:52	two plus three is equal to five . Once you've
00:55	done that you can then get this entire amount ,
00:57	there's two plus two is five and multiply by five
01:00	and you would get the answer of 25 that's one
01:03	way that you might approaches particular equation . However ,
01:05	there is another way you can approach this equation and
01:07	you could say what you're doing is you're getting two
01:10	and adding it to the result of three times five
01:13	, okay ? So three times five is equal to
01:16	15 and you're getting two and adding to it .
01:18	So two plus 15 is equal to 17 . So
01:22	as you can see both methods have correct calculations but
01:24	by approaching them from a different standpoint we get two
01:27	very different answers . So obviously math wouldn't work .
01:30	We went through and just had two different answers to
01:32	occur to the same question . We'd have a big
01:35	problem . So this is why we have this thing
01:37	called order of operations and the order of operations as
01:40	simple set of rules that tell you the order and
01:43	which equation must be done so that we all approach
01:45	an equation the same way and we get common results
01:47	. So what are these rules ? There are four
01:49	of them and they can be remembered really simply using
01:52	a couple of different acronyms depending upon where you are
01:54	from . The first one I'm going to give you
01:56	is Pet Mass . Uh , and that's something you
02:00	would use if you're a say in the United States
02:02	in Australia , we use body mass . Okay ,
02:05	means the same thing . We just have different words
02:07	for the same things are in Australia . But let's
02:09	go through what each of these mean right now .
02:11	The very first thing you do would be parentheses or
02:14	brackets . That's these guys . So in an equation
02:17	, if something is occurring inside the parentheses inside the
02:20	brackets , you would do this first . The next
02:23	thing you do is you would do any exponents and
02:26	sometimes incorrectly in Australia . I've seen teachers call this
02:29	next letter of but it actually stands for orders and
02:32	that's exactly the same as exponents . These are things
02:36	like squared , squared root cube , things like this
02:39	. Okay , the next thing you do is any
02:41	division multiplication and you would also do these in the
02:45	order in which they occur . That is you would
02:48	do them left to right . The last thing you
02:50	do is you would do any addition subtraction and once
02:54	again and you would just do these left to right
02:57	and there you go . This is the order pet
02:59	mass , body mass . So let's go through a
03:02	few examples of these . And they were going to
03:03	get to those viral math questions I told you we're
03:06	going to have a look at . So let's go
03:07	through a few examples of these in this order .
03:09	We'll have a look at some involving parentheses , then
03:11	some involving exponents , then division multiplication , addition ,
03:14	subtraction . Just to get used to the little last
03:16	subtleties that can occur in this particular set of rules
03:20	. So first off , let's have a look at
03:22	this example here , let's go seven times three plus
03:25	two . You're going to notice straightaway . We have
03:27	multiplication here . We have parentheses and we have addition
03:31	. So using pet mass and body mass , you'll
03:33	see the very first thing we do is we going
03:35	to do the stuff inside the parentheses here . So
03:38	if we do that , we're going to do three
03:40	plus 23 plus two is equal to five this stage
03:42	once we've worked out the stuff in the parentheses ,
03:44	it's pretty common . Just get rid of them .
03:46	Okay , so this leaves us with seven times 57
03:49	times five is equal 2 35 . That's what brackets
03:52	and parentheses usually just work as they group things together
03:55	and it's kind of like everything sitting in a little
03:57	basket altogether . All right , so let's go through
03:59	one more example using parenthesis . Okay , what about
04:02	we do this particular one ? We go three times
04:04	five in parenthesis and we add this to two times
04:08	four , also in parenthesis . How do we go
04:10	about solving this now ? It doesn't matter which order
04:13	you do these parentheses in , but they're going to
04:15	have to be sold first three times five is equal
04:18	to 15 , 2 times four is equal to eight
04:21	. The addition stays the same here . So 15
04:23	plus eight . We get the answer of 23 .
04:26	So that's about how you go using parentheses for this
04:29	particular rule . Let's get to some more examples now
04:31	. Looking at exponents . Okay , so nice .
04:34	Easy one to start off with . Let's see what
04:36	two times four squared is equal to just a little
04:40	refresher for squared here means four times for which is
04:45	going to equal 16 . So what do we have
04:48	here ? Two times 16 . Our answer is 32
04:51	. What about one more example of these ? What
04:54	about another one where we go ? Uh in parentheses
04:57	we're going to go five times three squared and we're
05:01	going to add to that . Get a bit bigger
05:02	now . So what do we do first here ?
05:04	We have a multiplication . We have parenthesis , we
05:06	have exponents . We have addition . Okay . And
05:09	the very first thing we're going to do is going
05:10	to do the stuff in parentheses here . Okay ,
05:12	so this stuff here within the parentheses , we have
05:15	this exponents . We have also multiplication . So we're
05:17	going to do the exponents first . This is going
05:19	to leave us with five times nine remaining in parenthesis
05:23	for the minute plus eight . So , I've just
05:24	worked out that exponent part of it . All right
05:26	. Now , what we do is we finished the
05:28	stuff in the parentheses five times nine is equal to
05:31	45 plus eight and we see what this equals .
05:34	The answer is 53 . All right , So just
05:37	watch out for this parenthesis . You can sort of
05:39	treat them as an equation within an equation . All
05:41	right . And then you still have to go through
05:43	those rules once you're in the parenthesis about which or
05:46	do you do things ? So last of all ,
05:49	we're going to have a look at these Final two
05:51	rules were basically saying we do division and multiplication before
05:55	we do any addition subtraction . So let's go back
05:58	to our very first example where I asked you what
06:01	two plus three times five is . You remember we
06:05	could either have had the answer of 22 or 17
06:08	depending on whether you did it in the right way
06:11	. So let's go through and now do this particular
06:14	question here . So we have addition and multiplication .
06:17	But you're going to see according to pet mass and
06:19	body mass . We do division multiplication first . So
06:22	this part here , the multiplication will be done first
06:24	. Three times five is 15 . This leaves us
06:27	with two plus 15 . Our answer was 17 ,
06:31	so the correct answer was 17 . Okay , So
06:34	let's go through one more example here before we get
06:36	to the viral math problems and this one's gonna be
06:39	a bit harder . I reckon I'm gonna make a
06:40	bit harder now about as hard as they might get
06:43	. And it's as follows , we're going to use
06:45	all our operations in this one so I might give
06:48	myself a bit of space and get rid of everything
06:51	so far . All right , okay , let's do
06:53	this now . We have eight plus three squared .
06:56	Let's multiply that by five . Let's take six off
06:59	this times two plus one from that . We divide
07:03	by two . Okay , that's pretty big . Right
07:05	. Whole bunch of nasty stuff going on there .
07:07	But using order of operations , we can work out
07:10	what's going on . So first off , what do
07:12	we do ? Anything in the parentheses or brackets ?
07:15	That's this one over here . So two plus one
07:17	is equal to three . I'm just going to rub
07:19	this out here and I'm going to put a three
07:22	there instead . All right . Now , what do
07:25	we do ? We've got nothing else in parentheses or
07:27	brackets . So we do any exponents or orders first
07:30	. Okay , So we have exponents here , which
07:33	is three squared , three squared is equal to three
07:36	times three which is equal to nine . This part
07:40	here , I can rub out and I'm going to
07:43	put a nine there instead . Now we're going to
07:45	go through and do any division multiplication from left to
07:49	right . So we have this particular division multiplication here
07:53	. We also have six times three divided by two
07:55	. So this entire partier uses division multiplication . So
08:00	let's go through and solve those . We have eight
08:03	plus there . Nine times five is equal to 45
08:07	. We're going to keep that symbol here . The
08:08	subtraction the same and we do this particular part .
08:11	Now there's six times three divided by two , as
08:14	I've said left to right . So six times three
08:17	is 18 divided by two is equal to nine .
08:20	Just watch out for that . You don't do division
08:23	first or you'll get an incorrect answer . Now what
08:25	we do is we just do addition subtraction from left
08:29	to right . So eight plus 45 is equal to
08:33	53 . And from that we're going to take nine
08:36	, our answer will be 44 . So how did
08:39	you go with that ? Pretty good . Now we're
08:41	going to get to these good little viral math questions
08:43	. Okay , so let's give these ago , I'll
08:45	give you two or three of these ones . Okay
08:48	, The Clickbait examples . Be careful . These are
08:50	tricky . That's why they're dividing the internet . Okay
08:53	, so an example of one that I've seen fairly
08:56	recently is this one here , Eight divided by two
09:00	and in brackets two plus to give this one a
09:03	go . Don't be too surprised if you've got all
09:06	this under your belt and you still get this one
09:08	incorrect because it does have a little trick to it
09:10	as you'd expect by something like this . So first
09:13	off we're going to do anything in parentheses first ,
09:16	so two plus two is equal to four . Okay
09:20	, So what do we have now ? We have
09:21	eight divided by two when they're sitting next to each
09:24	other like this , It means they're multiplying . Okay
09:27	. So this is what we have is eight divided
09:30	by two , which is equal to 44 times four
09:33	is equal to 16 . All right , So that's
09:37	the answer to this money , but I'm going to
09:38	show you where people commonly get this one wrong .
09:40	Eight divided by 22 plus two . This is where
09:45	people commonly get this wrong , what they do is
09:49	, and that's the correct answer here , but this
09:50	will be the incorrect answer . What they commonly do
09:53	is once again they do anything in parentheses or brackets
09:56	first . So they go two times two is equal
09:58	to four . Okay , So we could almost put
10:00	that there , put it to there and we got
10:02	eight divided by 22 times fourth . What they do
10:06	then do is quite commonly people just multiply these two
10:09	together as a matter of uh , just straight away
10:12	, just do it . That's two times four is
10:13	equal to eight . So eight divided by eight .
10:16	Don't get the answer one which is incorrect . Okay
10:19	. It's just really , really important here that once
10:21	you work this out , you realize that these guys
10:23	have to multiply , and a lot of these are
10:25	so called viral , dividing the internet , sort of
10:29	math problems . Have these sort of our tricks to
10:32	them . Let's go through another one . All right
10:34	. This one here . Nine take away three divided
10:38	by a third plus one . And we'll see what
10:41	that is equal to once again be really careful .
10:44	So first off , you can see it only has
10:47	subtraction division and addition . So we're going to do
10:50	this particular part here . First three divided by a
10:53	third . What is that ? So , if you
10:55	can imagine in one , if I break it up
10:57	into thirds , Okay , I'm going to do after
11:00	three things . Okay , how many thirds do we
11:02	have ? We have 123456789 So three divided by a
11:07	third is equal to nine . So , so far
11:11	we would have this would have nine take away nine
11:14	plus one . Pretty easy now . Right . Nine
11:17	take away nine is equal to zero plus one is
11:21	equal to one . All right . How'd you go
11:23	with that ? I can guarantee you there's actually a
11:25	little chance that I get one of these guys wrong
11:28	and there'll be a whole big bunch of arguments that
11:31	occur in the comment section because because that's what the
11:34	comment section is all about . And so what I
11:36	recommend is if you don't agree with any of these
11:38	, disagree comment , get an argument . We'll pin
11:40	up the debate and we'll see how it goes .
11:42	But keep it nice . Please keep it nice because
11:44	we're all likely to make mistakes sometimes when we're doing
11:46	that's okay . What about one more of these ?
11:49	Okay . What about this particular one ? Here we
11:51	will go . Six squared divided by two in brackets
11:57	, three plus four . So you're going to see
12:00	once again it has this particular element of the two
12:03	things sitting next to each other like this . So
12:05	let's rewrite that . Let's rewrite that as six squared
12:08	divided by two times three plus four . And we'll
12:13	see what that equals . The first thing we can
12:15	do now is we are going to do the exponents
12:18	. Okay , So what ? Six times six ?
12:21	Six times six is equal to 36 . 36 divided
12:25	by two times three plus four . All right .
12:30	Now we're going to do division multiplication left , right
12:34	, 36 divided by two is 18 , 18 times
12:38	three is equal to 54 . So this whole party
12:41	here is equal to 54 54 plus four . That's
12:46	our answer is going to be 58 . Alright .
12:49	I'm sure I'm gonna get some disagreements on these guys
12:52	. All right . What about one more ? Because
12:53	I'm a bit of a massacres here and then I'll
12:56	sign off for this week . Okay . What about
12:58	this one ? Seven plus seven divided by seven plus
13:02	seven times seven . Take away seven . And we'll
13:06	see where that equals that . Have a quick look
13:08	down to remember this one . All right . So
13:09	, what are we gonna do first ? You're going
13:11	to say ? Okay , we do . There's no
13:12	parentheses . There's no exponents . We're gonna do division
13:15	moral vacation first . So , we have some here
13:18	. We have some here . Let's do those first
13:20	. Okay , So seven divided by seven is equal
13:22	to 17 times seven is 49 . All right .
13:27	So let's then go seven plus seven plus 49 take
13:32	away seven . And we can just do this left
13:34	right now . Seven plus one is eight plus 49
13:38	is equal to 57 Take away seven . Our answer
13:42	is 50 . All right . So how did you
13:44	go with that ? All right . Uh it was
13:47	a pretty big video , but hopefully you found that
13:49	informative , please , if you don't agree with any
13:52	of the answers I've got here and I'm sure there'll
13:53	be a few people who say they don't put in
13:56	the comments , but just one of the further thing
13:57	just remember it's actually not a mistake if you're looking
14:00	at this and going well , you know , it
14:01	just depends on how you interpret . That's not entirely
14:04	correct . I don't think so anyway , because realistically
14:07	the equation should be written now because we all follow
14:10	this order of operations . The equation should be written
14:13	to fit the order of operations . Medically , some
14:16	of these more viral ones are written in a confusing
14:18	manner , but that's what they're all about right there
14:20	, there to create a discussion and to uh get
14:23	people a little bit interesting amount . So I actually
14:26	don't mind them very much . Anyway , tell us
14:27	what you thought of this video . Thank you for
14:30	watching . And a big shout out to my subscribers
14:32	. All right , and stay well out there .
14:34	Take care , see you next time . Bye .

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Viral math that divided the internet SOLVED using PEMDAS BODMAS is a free educational video by tecmath.

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