@@thenetsurferboybecause the teacher never explains it correctly. BODMAS usually appears when children are in primary so has to be very simple. Also primary teachers are not maths teachers. They just need to get pupils to do 2 + 3 x 4 = 14 and not 20.
I have seen many pupils come into secondary who would work strictly to BODMAS order. Takes time to retrain them. Even seen pupils do stuff like this. 10 - 2 + 6 = 10 - 8 as they were doing addition before subtraction. I went to the primary feeder school to correct a teacher who thought this was correct.
I was taught to go strictly by PEMDAS, meaning I’d do the M(ultiplication) before the D(ivision). Maybe it was a public school thing and the “math teacher” didn’t really know math. In college some professors would have different opinions on this equation.
I was taught BODMAS. Which puts Division before Multiplication, I see PEMDAS mentioned a lot which seems to suggest Multiplication first. How's this work?
@geoffroberts1126 Just because D and M change places does not change their precedence. Division and multiplication have the same precedence and are operated on when seen first. If division is seen first, you divide the first number by the second then move to the right. If multiplication is seen first, you multiply the first by the second and move right.
It is called BODMAS in Australia and taught to students from about the age of 10. The only "tricky" part is that, both within brackets, and in simpler forms such as this, you work from left to right.
It's BODMAS in all the British Commonwealth nations (I'm not sure about Canada though). For example, I met an Indian prostitute who also used BODMAS. This is similar to "math." We Americans say, "math," while the Commonwealth nations say, "maths." Since it's the shortening of "mathematicS," it would make sense to use "mathS." But the "ths" sound is very unpleasant so I prefer the American version.
US schools, when I was still in them, through college level did PEMDAS in that order only…so that answer would be 2. Not that you can do either multiplication or division first, you only do them in order of the acronym or it is wrong. Proof that this is ambiguous, is the fact that people disagree on the answer because different people were taught different acronyms based on time and geographic location.
I rewrote the problem as 40 x 1/10 x 2; in this form, you are multiplying three numbers, and it doesn't matter in what order you do it. The answer will be the same in any case.
I am an old git of 80 years old needed maths for about 55 years when working in science . What annoys me is why would anyone write a formula like that? In my day no one would write a formula like that. Kids must be totally confused these days. Or is this the difference between me in the UK and the US. That formula could easily be written as (40/10)x2 = to give 8.
Does not the division sign not mean numbers to left (above) are divide by the numbers on the right (below) when inline and therefore shouldn't 40 / 10 be in brackets to produce 8 otherwise I would argue 2
Wouldn't putting parens aournd the 40 and 10 have simplified things? What would be the reason for adding them or leaving these off when doing complex math therories or formulas?
first of all, that is not a complex mathematical formula. That is a grade school formula. Second, higher level mathematics does not use those symbols. Those are non standard grade school symbols. Third, yes, brackets are used when necessary, but when there is no need for them there is no need to do unnecessary work. Fourth, higher level mathematics does not write equations on one line. Especially when division is involved. Equations are written as fractions so it is very clear what is being divided by what.
@@graememaxwell3113 first of all there is no division in your equation, so its not really pertinent to the point. What I mean by that is that we don't use a division sign. If things are being divided by other things we don't write them on the same line. For example if we were to divide your equation by 2c we would write it like this. 3a+4b ---------- 2c
I’m one of these maths dummies. I failed maths throughout school. I only just understood order of operations in the last year, and I’m 62. So why would the order of operations change if there is no parentheses or exponent? I’m still confused.
The order of operations doesn’t change. You take each letter of pemdas in order (as you read them) going left to right. ie: no parentheses? Ok move on to the E. No exponent? Ok, move on to the M or D still going left to right. Since division (in the problem) comes first you do the division first then move on to the multiplication. Then multiply to finish.
It is 40x(1/10)x2. In this case the order is indifferent. You can go 40x2x1/10. Division is really multiplication with the reciprocal value. Should you bother young school kids with this no not at all. Go left to right as the main rule
8. Easiest one yet. I'm blown away by the comments. People insisting parentheses are necessary and people insisting 2 is correct. Imagine needing 40 widgets for 10 people at $2 each and insisting you'll only pay $2 for your share.
I used to think the maths questions involved luck until the PEMDAS penny dropped that the MD only applies when reading from Left to Right and prioritizing the first one.
People are incredibly confused when they see the acronyms "PEMDAS" or "BODMAS" because it leads some people to strictly believe, because of the order of the letters, that multiplication precedes division or vice versa. Instead, people should be taught that division is just inverse multiplication, so the expression 40 ÷ 10 * 2 should be interpreted as 40 * 1/10 * 2 It just becomes multplication of fractions. Since they are all multiplication it can be done in any order (40 * 1/10) * 2 = 40 * (1/10 * 2) = 8
I don't get why you present such ambiguous problems when it is not necessary. The correct use of brackets during construction of such problems eliminate such ambiguities. I have never experienced such a problem during tests due to lack of brackets. Proper presentation would be either 40 divided by (10 X 2) = 2 or (40 divided by10) X 2 = 8. No ambiguity to worry about.
Lol because life doesn't always present problems or questions in the simplest, easiest form. This question is to help teach the order of operations. There is an order of operations and pupils need to know what it is: forming questions which do not test their knowledge of the order of operations would be pretty pointless.
Thank you! I had a good math teacher in middle school in Bakersfield who made the difference in my going to logic class later at U of Chicago. Pat yourself on the back, please! (I got 8 btw)
I was and still am lousy at maths, but got the answer right by tackling the problem logically, and working it out from left to right. All this stuff about pemdas or bodmas only confuses me, and seems an unnecessary complication. No wonder lots of people get it wrong!
Yes, me too. In Australia in the 70s it was BODMAS. Both can't be right as it reverses the op order of multiplication and division. My math teacher refused to go into why BODMAS was correct, just that it was 'something mathematicians agreed on' which really didn't help. I failed math because I couldn't get my head past how to figure out if the answer was right or not.
@@geoffroberts1126 No, no, no. Pemdas, bodmas, or whatever are NOT the rule. They are simple acronyms to remember the rule. As for why this is correct? It just is. It is NOT something that mathematicians arbitrarily agreed upon. It is the fundamental nature of the universe. It's like asking why 1+1=2. Because it is.
@@tchevrier Um, ok, not what I was taught. So... what is the rule, if Bodmas et al are just the acronyms. I'm not sure how this is the 'fundamental nature' of anything. Why is it the right way? I accept what you say but I don't understand how or why it must be done that way. Depending how you juggle the op order, many equation will give wildly different answers, it's not clear to me how it's known which answer is right, since none of them seem to relate to anything physical, it's just numbers. Maybe I'm just stupid.
@@tchevrier I can see that '1+1=2' because I can physically do it as well as visualize it. Visualising equations in relation to the physical universe is not. At least not to me.
The result is correct, but i don not really understand the reason you want to tell us ... The reason for this result is the evaluation order, which is "from left to right" in this case: first division (because it is located left from the multiplication), than multiplication.
The problem is the division sign that’s causing the confusion. the symbol ➗ != / . Anything that comes after that first sign is the denominator, the 2nd is a fraction. Answer is 2! Edit: I could argue ➗ 10 can also be written as x 1/10. Hmm maybe it is 8 after all!
8, if division takes priority, but 2 if multiplication takes priority. PEMDAS would dictate mult first, but the this presenter seems to think the opposite is true. Therefore the rule should be PEDMAS! If this problem were presented in a practical computation it would be in fractional notation erasing the conflict!
Probably showing my age but I was taught “PPMDAS” or Pretty Please My Dear Aunt Sally. Same order, the P’s came in alphabetical order. That was long before common core crap math.
There was a time when equations were written without ambiguity! Ok, I got it right! I know the silly PEMDAS rule but brackets and parentheses are not expensive.
This is NOT an equation. This is an arithmetic problem. Equations require both sides of the equals sign to have a value. For example, ' 3a + 4b = 22 ' is an equation. Simply asking for a calculation to be completed, as in this video, is not an equation.
@@graememaxwell3113 I beg your pardon. There is an equal sign. Doesn't that make it an equation? Is 1+1=2 an equation? Am I so stupid and dense that I should reattend the first grade or can you please help me out?
honestly it only looks ambiguous because people are taught with these order acronyms "pemdas" or "bodmas" which leads some people to believe that multiplication STRICTLY precedes division or vice versa. instead, people should be taught division is inverse multiplication and are basically the same operations, so it can be done associatively in any order. but otherwise it is as straightforward as it gets
Where does it say that? There's a well known ambiguity with implied multiplication after inline division, but this expression uses explicit multiplication.
It really seems, that many mn people donot know about the rules of evaluationorder of mathematical expessions. Todayi tried to explain, thhat thhe result of 60/5(7-2) is 24 and not 6.But i did not succeed.The person still was convinced, thhat the result must be 6... In your excercise, the result is 8. The evaluation order has to be from left to right here, because the 2 operations,division and multiplication have the same precedence and both are "left associative", so the evaluation order is "from left to right". You have first to divide 40 by 10 and than the result has to be multiplied by 2. Btw. your "memory aid"may be misunderstood, if one thinks of "p" for "power" ,"e" for "enclosed in brackets" and the rest as explained in the video ...
@@gbhxu The rules for the evaluation in mathematics are really clear. So thhere is no room for different interpretation: 60/5(7-2)is a shortcut for 60/5*(7-2), and 60/5*(7-2) *must* be evaluated to: (60/5)*(7-2)and so the result is 24. Thhere is no other possibility in mathematics.
@@gbhxu it doesn't need to, but it is correct too. The thing is that you don't need parenthesis to indicate sixty fifths, or twelve if you make it a decimal.
I got it right, but as I've said in other videos, these vids remind me of why I hated math in school. What's the point? When would one encounter this in real life?
We are at the store and need 40 bags of chips for our Jamboree. There's 10 of us and I'd like to know how much each person must pay. They cost $2 each.
Imagine having a math channel and getting the wrong answer......I mean instead of accepting that the answer was 2, they make up a new way to do math to change the answer.
I thought multiplication ruled over division so I got it wrong. These rules about pemdas change all the time so I did in fact get it right .I'm not watching anymore.ridiculous.
In Australia in the 70s I was taught BODMAS. Division then Multiplication. Now I see this PEMDAS, which switches the order. And the outcome. Is this a US thing?
Answer = 2 Ugh...I thought it goes in the order of PEMDAS? First being multiplication. Oh...you forgot to mention "or" yesterday - now it makes sense. Thank-you.
That is just a poorly written equation with no purpose but to teach tedious mundane rules of order which are useful only when faced with poorly written equations - which really should be sent back to the writer for correction. You perhaps might consider teaching viewers why that is such a poorly written equation and how to write out equations in ways that do not produce confusion merely for the sake of generating confusion and then doing YT videos to show how to avoid said confusion.
That's a common and understandable misconception, but PEMDAS is a 4 step process not a 6 step process. Even a simple example like 3-2+1 will show you that treating PEMDAS as 6 separate steps is an error. Now that other common versions of the acronym, like BODMAS and BEDMAS and BIDMAS, have D before M. Indeed you will sometimes see people using the acronym PEDMAS (and also BOMDAS). That's because DM vs MD in the acronym doesn't make any difference to the calculations. This misunderstanding is probably the biggest problem with these silly 6 letter acronyms. If you want to use an acronym for this stuff the 4 letter variations like PEMA and BOPS are better for exactly this reason.
@@gavindeane3670 I was told by someone that BEMA is the modern acronym. Personally I prefer Gems as a teacher told me how his kids drew little pictures of them which helps them to remember. The problem with them is whatever acronym is used less people understand and remember them than just using brackets. So, in effect, everyone is taught an inferior method of doing mathematics just because mathematicians are lazy.
@@proffessorcluelessYes, there are lots of variations in 4 letters too. Arguably the G acronyms (e.g. GEMS or GEMA in 4 letters, or GEMDAS in 6 letters) are better because G for Groupings covers more than just brackets/parentheses. There are other grouping symbols in mathematics too. I'm not sure what you think is inferior or lazy. Once you get past the misconception that 6 letters in the acronym means 6 steps in the process, the next biggest problem is probably the rigidity in the calculation sequence, and just making this stuff seem more complicated than it is. Whatever acronym you use, the process dictates a very specific calculation sequence. That sequence will get you the right answer (that's the entire point of it) but very often you don't need to follow it so rigidly. For example, given 1+2+3+4×5 the PEMDAS/BODMAS/GEMS sequence tells you to start with 4×5=20, but of course you can start with 1+2+3=6. Students believing that there is something wrong with straying away from the rigid sequence is obviously a bad thing, but that's a problem with teaching by rote not a problem with laziness in mathematicians.
Instead of giving a long story why don't you tell us why people get the answer as 2. By the way how much do you get paid. I hope not per minute. Please don't give up your day job
I guess it makes sense that math is a discipline where there answer depends when and where you are. Why not have 10 different orders of operations and 10 different answers
✌️✌️ that is a question, I am mean to ask to know the question written type of equation , eg Liner equation or some other type. Becaus generally they ask say 2+2 = ____(Fill in blanks ) . and 2x + 2 = 0 , so x =- 1. Answer ✌️✌️
I was always told that if there's a division and a multiplication, you then simply go from left to right in the equation. So the answer would be 8.
So what use then is Bomdas Bodmas, Pemdas
Why do they not right a proper equation?
Exactly my understanding also.
@@thenetsurferboybecause the teacher never explains it correctly. BODMAS usually appears when children are in primary so has to be very simple. Also primary teachers are not maths teachers. They just need to get pupils to do 2 + 3 x 4 = 14 and not 20.
I have seen many pupils come into secondary who would work strictly to BODMAS order. Takes time to retrain them. Even seen pupils do stuff like this.
10 - 2 + 6 = 10 - 8 as they were doing addition before subtraction. I went to the primary feeder school to correct a teacher who thought this was correct.
@@johnmaguire21854:46
Go from left to right since there Is both multiplication and division only. Neither is given more priority. Thus:
4*2
=8.
For the first time in my life, I understand something mathematical. Thank you!
I was taught to go strictly by PEMDAS, meaning I’d do the M(ultiplication) before the D(ivision). Maybe it was a public school thing and the “math teacher” didn’t really know math. In college some professors would have different opinions on this equation.
I was always division b4 multiplication
Multiplication and division have equal precedence. Barring any parentheses, they act upon the next number ONLY.
No you weren't taught that multiplication comes first.
I was taught BODMAS. Which puts Division before Multiplication, I see PEMDAS mentioned a lot which seems to suggest Multiplication first. How's this work?
@geoffroberts1126 Just because D and M change places does not change their precedence. Division and multiplication have the same precedence and are operated on when seen first. If division is seen first, you divide the first number by the second then move to the right. If multiplication is seen first, you multiply the first by the second and move right.
It is called BODMAS in Australia and taught to students from about the age of 10.
The only "tricky" part is that, both within brackets, and in simpler forms such as this, you work from left to right.
What does the O stand for for you guys? I see your B stands for brackets…
@@L8dyBanksBrackets Order Division Multiplication Addition Subtraction
@@L8dyBanks orders ( powers indices roots )
Thank you! Its crazy how we all learn the same thing we just call it different things.
It's BODMAS in all the British Commonwealth nations (I'm not sure about Canada though). For example, I met an Indian prostitute who also used BODMAS. This is similar to "math." We Americans say, "math," while the Commonwealth nations say, "maths." Since it's the shortening of "mathematicS," it would make sense to use "mathS." But the "ths" sound is very unpleasant so I prefer the American version.
This is easy since both division and multiplication are equal and if you have 2 equal operations you go left to right.
8. Division and multiplication hold equal precedence so the equation is worked left to right.
(40 / 10) x 2 = 4x2=8
US schools, when I was still in them, through college level did PEMDAS in that order only…so that answer would be 2. Not that you can do either multiplication or division first, you only do them in order of the acronym or it is wrong.
Proof that this is ambiguous, is the fact that people disagree on the answer because different people were taught different acronyms based on time and geographic location.
I rewrote the problem as 40 x 1/10 x 2; in this form, you are multiplying three numbers, and it doesn't matter in what order you do it. The answer will be the same in any case.
I am an old git of 80 years old needed maths for about 55 years when working in science . What annoys me is why would anyone write a formula like that? In my day no one would write a formula like that. Kids must be totally confused these days. Or is this the difference between me in the UK and the US. That formula could easily be written as (40/10)x2 = to give 8.
Yes, that is a correct, but needlessly complicated, way to rewrite the given problem.
to be fair, that expression is about the simplest and most straightforward thing you will ever see in math
Why would you feel the need to add parentheses? The expression is easy enough to understand as it is written.
or even 40/(10x2)=2
@@gbhxu you can also do no parentheses and get 8 so many possibilities
Got it, thanks. Another good lesson.
Does not the division sign not mean numbers to left (above) are divide by the numbers on the right (below) when inline and therefore shouldn't 40 / 10 be in brackets to produce 8 otherwise I would argue 2
I always remember PEMDAS because they taught us Please Excuse My Dear Aunt Sally…NYC school system
Greetings. The answer is 8. (40÷10)X 2= (4)X 2=8.
Wouldn't putting parens aournd the 40 and 10 have simplified things? What would be the reason for adding them or leaving these off when doing complex math therories or formulas?
Same thing
first of all, that is not a complex mathematical formula. That is a grade school formula.
Second, higher level mathematics does not use those symbols. Those are non standard grade school symbols.
Third, yes, brackets are used when necessary, but when there is no need for them there is no need to do unnecessary work.
Fourth, higher level mathematics does not write equations on one line. Especially when division is involved. Equations are written as fractions so it is very clear what is being divided by what.
@tchevrier I think these things are semantics but math is about logical meaning. Order of operations helps you know the logical meaning
@@tchevrierEquations are written as fractions? Not sure what you mean by this.
Here's an equation:
3a + 4b = 22
No fractions needed.
@@graememaxwell3113 first of all there is no division in your equation, so its not really pertinent to the point.
What I mean by that is that we don't use a division sign. If things are being divided by other things we don't write them on the same line.
For example if we were to divide your equation by 2c we would write it like this.
3a+4b
----------
2c
I’m one of these maths dummies. I failed maths throughout school. I only just understood order of operations in the last year, and I’m 62. So why would the order of operations change if there is no parentheses or exponent? I’m still confused.
The order of operations doesn’t change. You take each letter of pemdas in order (as you read them) going left to right. ie: no parentheses? Ok move on to the E. No exponent? Ok, move on to the M or D still going left to right. Since division (in the problem) comes first you do the division first then move on to the multiplication. Then multiply to finish.
Your a great teacher!
I got 8 as the answer
I learnt BEDMAS in New Zealand
Brackets, Exponents, Division, Multiplication, Addition and Subtraction
40/10 = 4. 4x2=8
It is 40x(1/10)x2. In this case the order is indifferent. You can go 40x2x1/10. Division is really multiplication with the reciprocal value. Should you bother young school kids with this no not at all. Go left to right as the main rule
Slowly getting to understand this stuff. Thank you
8. Easiest one yet. I'm blown away by the comments. People insisting parentheses are necessary and people insisting 2 is correct. Imagine needing 40 widgets for 10 people at $2 each and insisting you'll only pay $2 for your share.
40/10*2 = 40/4 = 4*2 = 8
The answer is 8.
This has become easy due to your tips of PEMDAS!
Thank you!
I’m 63 and wish I had been taught PEMDAS.
Me too!
I used to think the maths questions involved luck until the PEMDAS penny dropped that the MD only applies when reading from Left to Right and prioritizing the first one.
That's no doubt
Many engineers do addition before subtraction and multiplication before division.
Therefore the engineer would have 2 as the answer.
No engineers do that. No engineers think that 3-2+1 equals 0.
People are incredibly confused when they see the acronyms "PEMDAS" or "BODMAS" because it leads some people to strictly believe, because of the order of the letters, that multiplication precedes division or vice versa.
Instead, people should be taught that division is just inverse multiplication, so the expression
40 ÷ 10 * 2
should be interpreted as
40 * 1/10 * 2
It just becomes multplication of fractions. Since they are all multiplication it can be done in any order
(40 * 1/10) * 2 = 40 * (1/10 * 2) = 8
So where is the punctuation?
I don't get why you present such ambiguous problems when it is not necessary. The correct use of brackets during construction of such problems eliminate such ambiguities. I have never experienced such a problem during tests due to lack of brackets. Proper presentation would be either 40 divided by (10 X 2) = 2 or (40 divided by10) X 2 = 8. No ambiguity to worry about.
there is no ambiguity about this equation. This is pretty straight forward.
Lol because life doesn't always present problems or questions in the simplest, easiest form. This question is to help teach the order of operations. There is an order of operations and pupils need to know what it is: forming questions which do not test their knowledge of the order of operations would be pretty pointless.
This is how you need to enter the expression into most calculators or a computer.
Thank you! I had a good math teacher in middle school in Bakersfield who made the difference in my going to logic class later at U of Chicago. Pat yourself on the back, please! (I got 8 btw)
Order of operations says….. 8
I was and still am lousy at maths, but got the answer right by tackling the problem logically, and working it out from left to right. All this stuff about pemdas or bodmas only confuses me, and seems an unnecessary complication. No wonder lots of people get it wrong!
Answer is 2
BOMDAS
If you think not write what you really mean in the formula
wrong. bodmas does not state to do multiplication before division.
I use B O M D A S as I said@@tchevrier
operation order so division, then multiplication. 8
Your mathematical ability is impeccable but if I keep watching I'd have to contemplate self harm man no wonder I dropped mathematics
I think that part of the confusion here is that (when I was at school) it was BODMAS
and now it seems to be PEMDAS ... When did it change ?
Yes, me too. In Australia in the 70s it was BODMAS. Both can't be right as it reverses the op order of multiplication and division. My math teacher refused to go into why BODMAS was correct, just that it was 'something mathematicians agreed on' which really didn't help. I failed math because I couldn't get my head past how to figure out if the answer was right or not.
PEMDAS is American. Nothing has changed.
@@geoffroberts1126 No, no, no. Pemdas, bodmas, or whatever are NOT the rule. They are simple acronyms to remember the rule.
As for why this is correct? It just is. It is NOT something that mathematicians arbitrarily agreed upon. It is the fundamental nature of the universe. It's like asking why 1+1=2. Because it is.
@@tchevrier Um, ok, not what I was taught. So... what is the rule, if Bodmas et al are just the acronyms. I'm not sure how this is the 'fundamental nature' of anything. Why is it the right way? I accept what you say but I don't understand how or why it must be done that way. Depending how you juggle the op order, many equation will give wildly different answers, it's not clear to me how it's known which answer is right, since none of them seem to relate to anything physical, it's just numbers. Maybe I'm just stupid.
@@tchevrier I can see that '1+1=2' because I can physically do it as well as visualize it. Visualising equations in relation to the physical universe is not. At least not to me.
think about this format
2 = 2/1
then 40/10 * 2/1 >>> 80/10=8
Answer is 8
Thats very long winded
The result is correct, but i don not really understand the reason you want to tell us ...
The reason for this result is the evaluation order, which is "from left to right" in this case: first division (because it is located left from the multiplication), than multiplication.
Yes! Understanding it that way lets the PEMDAS RULE work.. and also that BOMDAS
The problem is the division sign that’s causing the confusion. the symbol ➗ != / . Anything that comes after that first sign is the denominator, the 2nd is a fraction. Answer is 2!
Edit: I could argue ➗ 10 can also be written as x 1/10. Hmm maybe it is 8 after all!
8 😊
8, if division takes priority, but 2 if multiplication takes priority. PEMDAS would dictate mult first, but the this presenter seems to think the opposite is true. Therefore the rule should be PEDMAS! If this problem were presented in a practical computation it would be in fractional notation erasing the conflict!
Probably showing my age but I was taught
“PPMDAS” or Pretty Please My Dear Aunt Sally. Same order, the P’s came in alphabetical order.
That was long before common core crap math.
There was a time when equations were written without ambiguity! Ok, I got it right! I know the silly PEMDAS rule but brackets and parentheses are not expensive.
This is NOT an equation. This is an arithmetic problem. Equations require both sides of the equals sign to have a value. For example, ' 3a + 4b = 22 ' is an equation. Simply asking for a calculation to be completed, as in this video, is not an equation.
@@graememaxwell3113 I beg your pardon. There is an equal sign. Doesn't that make it an equation? Is 1+1=2 an equation? Am I so stupid and dense that I should reattend the first grade or can you please help me out?
@@graememaxwell3113 Also isn't 1+1=x an equation?
honestly it only looks ambiguous because people are taught with these order acronyms "pemdas" or "bodmas" which leads some people to believe that multiplication STRICTLY precedes division or vice versa. instead, people should be taught division is inverse multiplication and are basically the same operations, so it can be done associatively in any order.
but otherwise it is as straightforward as it gets
If you do a google search on the order of operations Wikipedia will tell you that this problem is ambiguous
Where does it say that?
There's a well known ambiguity with implied multiplication after inline division, but this expression uses explicit multiplication.
It really seems, that many mn people donot know about the rules of evaluationorder of mathematical expessions. Todayi tried to explain, thhat thhe result of 60/5(7-2) is 24 and not 6.But i did not succeed.The person still was convinced, thhat the result must be 6...
In your excercise, the result is 8. The evaluation order has to be from left to right here, because the 2 operations,division and multiplication have the same precedence and both are "left associative", so the evaluation order is "from left to right". You have first to divide 40 by 10 and than the result has to be multiplied by 2.
Btw. your "memory aid"may be misunderstood, if one thinks of "p" for "power" ,"e" for "enclosed in brackets" and the rest as explained in the video ...
60/5(7-2) could be either 2.4 or 60
Just depends how you interpret the equation.
is it 60/5 x (7-2) or is it 60/ 5(7-2)
@@gbhxu The rules for the evaluation in mathematics are really clear. So thhere is no room for different interpretation:
60/5(7-2)is a shortcut for 60/5*(7-2), and 60/5*(7-2) *must* be evaluated to:
(60/5)*(7-2)and so the result is 24. Thhere is no other possibility in mathematics.
60/5(7-2)=60 all the time 😂
@@davidserrano6659 The equation really needs to be (60/5)(7-2)=60
@@gbhxu it doesn't need to, but it is correct too. The thing is that you don't need parenthesis to indicate sixty fifths, or twelve if you make it a decimal.
40:10x2= 4x2=8
Is it 8?
I got it right, but as I've said in other videos, these vids remind me of why I hated math in school. What's the point? When would one encounter this in real life?
We are at the store and need 40 bags of chips for our Jamboree. There's 10 of us and I'd like to know how much each person must pay. They cost $2 each.
2³
8😊
40/10=4
4×2=8
40 / 10 * 2
4 * 2
8
8 ?
8 is correct. 2 would be correct if the equation was 40 / (10x2)
8
Go left to right. 40 ÷ 10=4 X 2=8
Is tge answwe is 2
BODMAS operation order gives 8.
It's 8. But if it's 40÷10(2) then it's 2
We used to call it BODMAS in Kenya
Multiple stars yo!
Ans. 8
8. Final answer
8.
Imagine having a math channel and getting the wrong answer......I mean instead of accepting that the answer was 2, they make up a new way to do math to change the answer.
😮
40 divied by 10=4 X2 =8
= 8
Bodmas answer is 2
8
answer
40/10x2=8
8 is the answer.
40/10 x 2 = 8 & 2
I thought multiplication ruled over division so I got it wrong. These rules about pemdas change all the time so I did in fact get it right .I'm not watching anymore.ridiculous.
8 final answer
4*2=8
Ate, ate, ate. No! Eight
So PEMDAS is false!
In Australia in the 70s I was taught BODMAS. Division then Multiplication. Now I see this PEMDAS, which switches the order. And the outcome. Is this a US thing?
Answer = 2
Ugh...I thought it goes in the order of PEMDAS? First being multiplication.
Oh...you forgot to mention "or" yesterday - now it makes sense. Thank-you.
Yes answer is 2
BOMDAS
4x2=8
You need to explain how these two formulas are different.
40 ÷ 10 x 2 =
vs
40
_______ =
10 x 2
In order for the second way to be correct, the problem would have to be written as: 40 / ( 10 x 2)
sure, the second expression is an all-inclusive fraction, which is different from the first expression. The fractional form would be:
40
----- * 2
10
Oh, so now we are merely "lucky" if we arrived at the correct answer? Your arrogance is boundless!
My guess is 8
My answer is 8
That is just a poorly written equation with no purpose but to teach tedious mundane rules of order which are useful only when faced with poorly written equations - which really should be sent back to the writer for correction. You perhaps might consider teaching viewers why that is such a poorly written equation and how to write out equations in ways that do not produce confusion merely for the sake of generating confusion and then doing YT videos to show how to avoid said confusion.
It's not a poorly written equation. However, it seems it's a poorly understood one. Change your understanding.
what's confusing about it. It's the simplest thing you could ever expect to see in math
@@jacquesmalan5950 if tis not confusing, then why does he spend almost 11 minutes on it?
@@jamesharmon4994 Wrong. My understanding is not the issue.
@@anthonypanneton923 not sure, but I think he wanted to go over the rules since most people don't know them
Solution is 8
Its very difficult...because he is so long winded...You need extreme patience,.,.,why mention calculators?
I say the answer is 7 and however I came up with that is the correct way to determine it and everyone else in mathematics is wrong.
I got 8 which it is my final answer.
11 minutes to "explain" the answer 8?!
Yikes!
Only 8 will get it wrong
8...took 2 seconds
The whole idea of PEMDAS is to do multiplication before division(otherwise it would be PEDMAS) so the correct answer is definitely 2.
That's a common and understandable misconception, but PEMDAS is a 4 step process not a 6 step process. Even a simple example like 3-2+1 will show you that treating PEMDAS as 6 separate steps is an error.
Now that other common versions of the acronym, like BODMAS and BEDMAS and BIDMAS, have D before M. Indeed you will sometimes see people using the acronym PEDMAS (and also BOMDAS). That's because DM vs MD in the acronym doesn't make any difference to the calculations.
This misunderstanding is probably the biggest problem with these silly 6 letter acronyms. If you want to use an acronym for this stuff the 4 letter variations like PEMA and BOPS are better for exactly this reason.
@@gavindeane3670 I was told by someone that BEMA is the modern acronym. Personally I prefer Gems as a teacher told me how his kids drew little pictures of them which helps them to remember. The problem with them is whatever acronym is used less people understand and remember them than just using brackets. So, in effect, everyone is taught an inferior method of doing mathematics just because mathematicians are lazy.
@@proffessorcluelessYes, there are lots of variations in 4 letters too. Arguably the G acronyms (e.g. GEMS or GEMA in 4 letters, or GEMDAS in 6 letters) are better because G for Groupings covers more than just brackets/parentheses. There are other grouping symbols in mathematics too.
I'm not sure what you think is inferior or lazy. Once you get past the misconception that 6 letters in the acronym means 6 steps in the process, the next biggest problem is probably the rigidity in the calculation sequence, and just making this stuff seem more complicated than it is. Whatever acronym you use, the process dictates a very specific calculation sequence. That sequence will get you the right answer (that's the entire point of it) but very often you don't need to follow it so rigidly.
For example, given 1+2+3+4×5 the PEMDAS/BODMAS/GEMS sequence tells you to start with 4×5=20, but of course you can start with 1+2+3=6.
Students believing that there is something wrong with straying away from the rigid sequence is obviously a bad thing, but that's a problem with teaching by rote not a problem with laziness in mathematicians.
Diane Abbot
twait
So many words for NOTHING. Do You have some real problem otherwise let's calculate 1 + 1😅
8. 😊
Too much blah,blah bla for a simple math operation the correct is 2 dnt confused
Folliw BODMAS RULE
Instead of giving a long story why don't you tell us why people get the answer as 2. By the way how much do you get paid. I hope not per minute. Please don't give up your day job
8 or 2
Both answers are considered correct.
It depends where and when you were taught maths.
Another ambiguous equation.
It is not ambiguous. Some people are just taught incorrectly.
I guess it makes sense that math is a discipline where there answer depends when and where you are. Why not have 10 different orders of operations and 10 different answers
✌️✌️40÷ 10 X 2 = what equation = 1 or 0
ie 40 ÷ 10 X2 = 0 or 40 ÷ 10 X2 = 1
40÷ 10 x2 = question mark is what kind formation of equation ✌️✌️
Please elude where you took this 1 or 0 from ?
✌️✌️ that is a question, I am mean to ask to know the question written type of equation , eg Liner equation or some other type. Becaus generally they ask say 2+2 = ____(Fill in blanks ) . and 2x + 2 = 0 ,
so x =- 1. Answer ✌️✌️
2
Why do you thiink thhatThhe evaluationorder in this case hhas to be left to right.
8
2
8
2