I don't see how you ended up with the same answer. The difference between the two is order of operations between multiplication and division. If you do division first, you get a different answer than if you did multiplication first.
Thank you. I'm 73 years young. My father was a middle school math teacher, and I could never get it. Teachers would be filling up the black board with figures, and filling up the air with words. Other students were asking pertinent questions, but to me the whole thing was gibberish. A teacher friend showed my wife and me a VHS video from a conference on learning disabilities that he attended, with the thought that it might be relevant to some problems our son was experiencing. It was a life changing moment for me. I didn't see my son. I saw myself. I was always considered to be intelligent, but in school, was getting D's and F's in math. With your channel, I can pause, repeat, and work my way through at my own pace, and I can get it.
Same here. I learnt maths on UA-cam with an exceptional teacher called Mr. Greene. He has complete courses going all the way up to and through Algebra 2.
A person may be a math genius and still not know how to teach math....that, quite often is the case when a student is acing every other subject but lagging behind in math.
I just want to say thank you for making it so easy to comprehend. I really struggled with math since the sixth grade because my math teacher really traumatized me and belittled me in class so ever since then my mind would literally shut down when it came to algebra. I failed many tests because of it and it's something I always tried to overcome and get better at. Thanks to you I've been able to solve most of these problems you present here and I'm really happy about that! I'm no longer afraid to try and solve math problems. I'm very close to being sixty years old but I'm not one to give up on something I really want to learn. You have been the only one I can really learn from and believe me I have tried learning from others but for some reason it just would never stick to my brain lol So thank you for doing this, you truly have a great gift to teach, especially for those like me that struggled for so long.
Ah, sometimes the people who are teaching us can have good intentions, but quick to judge. I know of someone who their own father who used to help him with studies said that he should never do anything math related. I still remember the day when it happened to him. He himself had barely passed his middle school math exam and could not understand algebra. But, as incredible as this might sound, he was amazing at math in high school. On super difficult math exams, he would be the top scorer in the entire school. He got into Engineering with one of the top scholarships, was the top scorer in math exams at the University, went onto complete his PhD in the same field lol. He also partly credits one of his high school teachers that really motivated him and also made things click for him. Imagine if he had completely given up.
Not once in school was M/D and A/S described as a set (and subsequent "switching" of the order of those operations depending on left to right where they fell in the equation) the way you did it. Now, after watching this, I understand. Great job in clearing that up.
I am a 75 yo grandmother who is preparing to assist my grandchildren with their homework. I have decided to refresh my math and science skills. Thank you.
I was able to get 203. You explained a similar equation before, so I applied your expertise on this question and I came up with 203. Thank-you for teaching me math problems. I'm 67 now and I was very good in math when I was in school. I obviously didn't retain my knowledge in this subject, so I'm happy that you refreshed my mind.
Greetings. Yes we can. The answer is 203. The bracketed portion works out to be 29 which is then multiplied by 7 to get 203. How did we do it? First, we start with the bracketed figures. In the brackets, we first divide 18 by 2 to get 9, we then multiply 9 by to get 27, 27 is then added to 2 to get 29 and thereafter we multiply 29 by 7 to get 203.
Answer 203. Before watching a few of your Math Class vids I would not have calculated this properly. I never understood what came first or what I was supposed to do with the number outside the brackets. I never had a proper math teacher in either primary or secondary school, so I concentrated on every other subject and gave up on math. You have now restored my faith in myself and I shall stop telling people I was never any good at math. I could have been if I was taught. What a shame I've only discovered the rules at this end of my life. In case you're wondering - this is not a result in a lack of education, I had 2 Masters degrees (in Literature and Ancient Languages) and a PhD in History and Medieval Languages. Note, none of these involve more than a rudimentary knowledge of math. So again, thank you so much.
I was always frustrated with math, my teachers were old school. I could not advance in my career because, I did not understood algebra. Now that I’m 71 years old, I took my time to learn.
Thank you for correcting my procedures regarding PEMDAS. I got it wrong with MDAS. I actually got 210. Thank you. Math is fun and fascinating. Even at 71.
I'm 68 and Canadian. When I went back to university in my 40's I was given the formula BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction. I don't ever remember being given any rhyme or reason for the "order of operations" when Algebra was introduced to us in grade 6. I was totally confused and felt I was very dumb and would never, ever figure this "new math" out. I shut down and despite being an excellent student in everything else, failed Math continuously. It affected my confidence, choice of career, self-esteem. I wish I had had a wonderful teacher like you. I truly believe my life would have taken a totally different path. I am subscribed and will try to learn with you now that I'm retired. Better late than never.
@@deborahdeborah8724 I am Canadian also, and yes, it was BEDMAS for me also, but again this is just a very generalized acronym; it is just a teaching aid it is not the math. We were all taught "The Order of Operations; we were all taught the rules of The Order Of Operations and were taught how to remember The Order of Operations by using the acronym BEDMAS, BODMAS, PEMDAS, PEDMAS, BIDMAS, all acronyms, all teaching aids, all tools to help remember The Order of Operations and its the acronym that sticks in our heads. It is easy to forget how we were actually taught this; it was taught to us in the 5th grade; who remembers every equation, every rule, and every science equation we learned back in school? But a teacher is not going to teach you a very generalized acronym only, and not teach you the math behind it, without understanding the underlying rules it was derived from, which is The Order of Operations. Some 55 years for you and I? What are we most likely to remember, the underlying rules we were taught or the acronym, the teaching aid we learned to remember it? I am 62 btw :)
Same here. I am 70 and it was never properly explained to me. I did it straight through, left to right, and I came up with 210. Fail!@@deborahdeborah8724
As I understand it, what is in parenthesis is calculated first. Division and multiplication come before plus or minus but they are equal so you calculate them in the order in which they appear. Therefore 18 divided by 2 = 9. Then multiply 9 by 3 which = 27. Then then the addition in the parenthesis means 2 + 27 which is 29. The 7 outside the parenthesis is now multiplied by the number in the parenthesis, so 7 x 29 = 203.
@@surinder50 It is simple ...multiplication and division have the same priority. Therefore ...you go LEFT to Right. Multiplication is not a priority over division. Division is not a priority over Multiplication. After brackets, after parentheses ...do Multiplication and/or division in the order that they come from left to right. So technically you are right ...PEMDAS and PEDMAS are one and the same.
We’ll, I’m 73 and have forgotten all of the rules….and never heard of PEMDAS. I did however, KNOW to do the division first, the multiplication second, then the addition and finally the multiplication. Whoever taught me my primary math must have been a really good teacher. And I thank her/him even though they have probably have passed on.
I'm 71 and you have shown me a very simple basic thing that teachers never made clear to me about these problems. That is regarding the PEMDAS. I coul 12:46 d never get the correct answers because I always thought that after parentheses and powers were done, then I had to do multiplication first, then division, then addition and finally substraction, always in rhat order. WTHeck!!! Now I wish I had a whole book of these problems to do just to prove thar I am not stupid afterall. Thank you so much teacher John. You are the best. You don't rush and you speak in a nice, even, quiet tone that makes me feel like I really can do math. God bless you.❤
We studied this rule as BODMAS during my childhood. Which stands for Brackets, Order of Power or Root, Division, Multiplication, Addition and Subtraction
@@venkateshyerramalla multiplication and division from left to right as well addition, subtraction. But this no valid term it is just a meme, because their are supplementary operations to take in consideration.
For me, where I was taught, I was taught that the "MD" and "AS" parts of GEMDAS/PEMDAS are done in the order they appear in the equation. So in this, because 18/2 comes BEFORE the 2x3, the 18/2 comes first. This means the equation is 7(2+9x3), or 7(2+27), or 203. However, I've heard that some places are taught to do multiplication BEFORE division, since M comes before D in GEMDAS/PEMDAS. This means the 2x3 is done first, since multiply before division. Meaning the equation is thus 7(2+18/6), reduced to 7(2+3), or 35. Even calculators can get this wrong, depending on which "rules" its programmed in.
Giving the multiplication higher precedence than the division is just a misunderstanding of the stupid 6 letter acronyms. Note that while some common variations of the acronym like PEMDAS and GEMDAS happen to have M before D, other common variations like BODMAS and BIDMAS and BEDMAS happen to have D before M. That's because MD vs DM in the acronym doesn't make any difference to the calculations. The solution to this issue, if you want to use an acronym for this stuff, is to use the four letter variations like PEMA or BOPS, which exist precisely to avoid this misconception. I'd be fascinated to see a calculator that doesn't give the answer 203 for this.
There was a time when I really, really needed you. Unfortunately, you had not yet been born! Even at age 69, with your help, I am learning what I never could grasp in school. Thank you. I have subscribed, clicked the little bell and given you a well-deserved thumbs up.
karenholley That would be me too. I'm 64 and I struggled so much with math until one teacher made a difference in my life. I never got below an A- in his Algebra I class, but the following year in high school, I couldn't keep my head above water. Different teacher, different persona, and I couldn't wait to drop it at the end of the 1st semester. I'm trying to watch at least a couple of his videos every day or so, just hoping to get one right.
I love math, I've been using BODMAS FOR THE LONGEST TIME in my teaching. I've seen PEMDAS but was not keen to try it. This channel help me to try and learn new ways. I did and I'm over the moon. Thank to you. ❤
PEDMAS: Do within the parentheses first, Multiply OR divide, whichever is closest left 18÷2=9, then multiply 9×3=27, then add 2=29. Once that is done, the equation reads; 7(29) = 203
When working a complicated equation, you have to look at the large picture and deal with the top priorities first. In this situation, the top priority is the brackets. This means that you have to complete this equation inside the brackets before going to anything outside of them. Within the brackets, you have a division sign and a multiplication sign that take equal priority over an addition sign. Doing the higher priorities first, and left to right, you have 18 divided by 2, which equals 9, and then 9 x3, which equals 27 as the total of the two operations. Then the 2 is added to 27 for the final operation within the brackets, which equal 29. Then you go outside the brackets and take the 7 and multiply by 29, which equals 203. The brackets( which are indicating to multiply the result within the brackets(29) to the result outside the brackets, which is simply the number 7) take the highest priority in the total operation for the very reason I have given to you within THESE brackets. So, 203 is the correct answer. Thank you, Ruth Coffey!
On the final step. Because I don't know off hand what 7x29 is. I multiply 7x30 which I know is 210. I can do that in my head. Then I subtract 7 which gives me 203. I learned this in school in Canada in the 70's rounding numbers up or down to the nearest 10 then subracting or adding the number your multiplying by. It just makes it easier to calculate in your head.
I did the same thing ...so easy to multiply times 30 and subtract 7 than 7X29 . Learned that in the late 50's. This has been a great thing to make me remember the basics. This is just fun...
I’m 75 and finally learning algebra with your great teaching. I attempted algebra in grade 9 but just couldn’t understand it and gave up, but always wished I knew how to do it. I never knew pemdas so glad I’ve learned it now. I’m struggling somewhat with the algebra but catching on will take some practice and I’ll keep watching your videos. It’s never too late to learn! I’ve also taken up drawing and painting at this age and actually doing pretty good with it, I never thought I could draw.
How to do Process parentheses 18/2 >>> 9 9*3 >>> 27 Alternative way: move 3 to the front (3*18/2) >>> 54/2 >>> 27 27+2=29 Then multiply by 7 29*7=203 Answer is 203
For everyone still curious, PEMDAS should really be written as PE(M/D)(A/S), as multiplication or division, then addition or subtraction, are done left to right in the equation. If division came before multiplication, that's how you would simplify the equation, or vice-versa. Same would be applied to addition and subtraction. If subtraction comes before addition, that is how it would be applied.
203. Solved inside the parentheses first by dividing, multiplying, then adding to get 29.Multiplied 20x7 for 140 then 7x9 for 63.Finally combined those products. 140 + 63=203
@@KerryCOUSINO Get your self a Scientific Calculator and try 20÷4×5 and see if you get "1", as you say, or "25" like those doing PEMDAS PROPERLY would get.
Correct, but within the parentheses you also have to follow the rules. And as operands of equal status are done from left to right, so (2+18/2x3) = (2+9x3)=(2+27)=29. And therefore 7x29=203
@kathleeningram3880 No one alive today was taught PEMDAS the way you described it unless they were taught incorrectly, as the order of operations has been around for centuries. If you weren't taught that multiplication and division carried equal weight and that addition also carried equal weight, then your teachers failed you.
@techone72893 never heard of pandas. For a math teacher trying to make math easier he failed. I was taught start from left to right in parentheses then times the 7. It comes to 210
When I was in school in Canada in the 1960s, I learnt that it should not matter whether PEMDAS is left to right or right to left. It was always P, then E, then M, then D, then A, and then S in the order of operations. I would read this as 7[2+(18/2x3)] = 7[2+(18/6)] = 7(2+3) for a solution of 35. I thought the same principle of direction applies to all math problems, i.e., the end one begins should not matter. Do you happen to know when MD and AS were grouped and PEMDAS went left to right?
@@petersearls4443 I wonder when that process changed. I am a scientist myself, so I have retained what I learnt in the 1960s because I enjoyed it so much. Luckily, though, I am an ecologist who seldom needs algebra!
@@jamesneville2746 I believe the last changes were made to Order of Operations around 1905. However M&D having same priority, I believe goes back to the creation of Order of Operations during the 16th or 17th century.
Oh my goodness, where were you when I needed you 45 years ago?? I made straight A’s in everything EXCEPT algebra. I thought I was just dumb in algebra but now I understand it was the method used to teach me. Wow! A new subscriber here.
Yes, and that got me to 203 straight off. 18/2=9, 9x3=27, 2+27-29, 29x7 =203. It took me seconds. Amazing how these things become instinctive. Thank you , Mr Gordon!
@@Dragonblaster1 I was taught BODMAS however all of my maths teachers told us to carry out the DMAS calculations in that precise order (the left to right thing was definitely never taught) and I've gone through all my life doing this (seemingly) without issues. I was good at maths - I took my GCE/O Level (yes, I'm that old) a year early, got an A grade and went on to do Advanced maths. So, learning the left to right rule only now has blown my mind! Of course, in this example, I still got the correct answer using BODMAS but if the multiplication had appeared before the division I'd have failed! Wow!
Thank you as I didn’t get math when I was in school , but I started later in life with Son and Daughter math homework and I just used dread trying to help until I just started to really look and I finally started to catch on but going to subscribe to your channel as I find math interesting now
I got it wrong. Do not remember the term PEMDAS; I’m 60. For what it’s worth, I excelled in English, Spelling, etc and was really good with rebuses. Therefore my answer here is 210. 👍😊
203 is correct. Start within the parenthesis and do multiplication and division first followed by addition & subtraction. After doing the math in the parenthesis, multiply that amount by 7.
My anxiety would not allow me to answer questions in any subject, but usually just on the tests. That shows that the anxiety is overriding the intelligence.
I don’t know how many students I’ve come across in my 27 years as an educator who make this same claim but in most cases it always was taught but they just ignored it and forgot about it. My guess is that when you were taught this basic math concept you so it irrelevant and/or confusing so never stored it in your long term memory.
@@kristiancartwright7451 probably was taught, but poorly so they had no real understanding. Just going through the motions. As such the knowledge mutates almost immediately.
Thank you for explaining this so well. My primary school teacher humiliated me (and shoved me across the room) for not understanding equations. That experience of being made to stand up in front of the class to try (and fail) to solve equations on the chalk board scarred me for life. She encouraged the class to laugh. I was 11 years old and failed at maths again and again, despite excelling in other subjects at secondary school. I find public speaking difficult to this day. That was in the 1980s so Miss Tully is probably long deceased. I wonder if she had any regrets around her teaching style.
Many thanks for your careful explanation. I am 75 and delighted to find an application that takes maths back to earliest applications because I changed schools multiple times with location and had to give up when I was not at an acceptable level of knowledge in early post primary schooling. I have liked and subscribed and will endeavour to follow this up. Doing maths cross has helped me gain a little confidence in basic skills but this is another skill that I am sure I can learn in my own time. Greetings from Australia. 😊
210 2+18 = 20. 20/2 = 10. 10 x 3 = 30. 30 x 7 = 210. Made sense to me. Never was taught or heard of PEMDAS and I’ve been around for awhile. I just used simple logic and sequence but I see that doesn’t necessarily apply in math. For others who’ve been around awhile, they may say I used the Pa Kettle method of math. Well I did learn something new today. 😄 Thanks
203. Division comes before math in the problem, so you have to divide before multiplying. Remember, in the order of operations, multiplication and division go together left to right. PE(MD)(AS)
Division and multiplication are interchangeable. Think of division as multiplication by a fraction. (Dividing by 2 is the same as multiplication by .5)
Let's evaluate the expression 7(2 + 18÷2 x 3) using BODMAS: 1. Evaluate the expression inside the parentheses: - Divide 18 by 2: 18÷2 = 9 - Multiply 9 by 3: 9 x 3 = 27 - Add 2 to 27: 2 + 27 = 29 2. Multiply 7 by the result: - 7 x 29 = 203 So, 7(2 + 18÷2 x 3) = 203. The final result is 203! Note that, as we discussed earlier, BODMAS evaluates division before multiplication, which leads to a different result compared to PEMDAS.
You can't get a different result with BODMAS vs PEMDAS. They're the same thing. BODMAS does not do D before M and PEMDAS does not do M before D. That's a common (and understandable) misconception. It's a 4 step process not a 6 step process. The DM step in BODMAS is identical to the MD step in PEMDAS. BODMAS/PEMDAS simply tells you to read the divisions and multiplications left to right. With 18/2×3 you do the division first because it appears first.
This man is a very good teacher! A lot better than the ones I had in high school or college. Except for one college professor who was originally from China. He was a very patient man who made sure everybody he could learn how to solve the math problems.
I got it right, I’m happy to say! A couple of years ago I probably wouldn’t have but I’m doing K12 online school with my grand daughter which has reinforced what I already knew. I also have learned some things I was never taught in school. PEMDAS was one of those things. I’m 59 years old and am FINALLY confident in my basic Math abilities.
Having teachers that can communicate in a way students understand and can figure out how to make math fun and relevant helps with students succeeding as well. I had some really great teachers who knew how to teach without us realizing we were learning. I’ve also had teachers who basically said “read the book. Ask your parents or figure it out”. And that’s when the overwhelming frustration starts, followed by the “Why should I bother?”
I really appreciate having a wonderful math teacher like you that is patient and open minded. My experience with math teachers during all my school years was very negative because the teachers only liked the students who got the lessons the quickest. I got some things right away and other things I did not as I found some concepts to be more complex and needed a little longer to work through it. If all my math teachers were like you, I would have had a very good experience with math. It's not that I hate math I actually like it especially working with equations ie algebra.
I’m 76. Had “new math” in 8th grade, Algebra I then Algebra II in 9th and 10, Geometry in 11th, College Algebra sophomore year in college and, finally Mathematics Fundamentals to try and make sense of all this. Not once in all those courses or years do I ever remember being taught PEMBRAS.
Interesting. I was taught PEMDAS as early as 3rd grade back in the 80s. My mother learned it in the 60s. My grandfather was taught “order of operations”, which is the same thing. He graduated school in the 40s.
Just because you weren't taught PEMDAS, does not mean it did not exist. At the end of the day, however you were taught as long as you get the right answer, you're good.
Baaaahaaahaaa. I thought it was just me. 30 years later my eldest took geometry in 9th grade. Went way further than I could have. She taught me PEDMAS. Sure seems strange to me.
For those getting hung up on the MD and order to perform the operation, remember this: division is just multiplication by the inverse. So 8 ÷ 2 is the same as 8 x ½ . Same operation will always then go from left to right. Same thing goes for the AS: subtraction is just adding the negative of the number. So 5 - 2 = 5 + (-2) and then again - perform in order left to right.
Math definitely starts training our brains to focus. But it takes a good teacher to start cementing the basics into our brains. I have always lived life with numbers, but much escaped me, either through youthful inattentiveness, or not disciplining myself to learn a concept because I saw no practical reason for it. What math I can do, I was taught by rote memorization ... and, had I not had that foundation in my tool box, most of math would have been beyond my ability. At time where basic English is not taught via phonics, is it any wonder that many of today's students sit in classrooms, but they are not taught how to train their minds, by teachers who are taught less than what their grandparents knew when they left the eighth grade! At 73 I am most intrigued by these videos - - and, am advancing in areas that I had pretty much given up on and ignored. Figures do not lie - - they are tangible, they are logical, they make sense .... when they do not, it is because someone is lying (very simple!) ... I always ask the question: What is the life application this math is applied to? Most of the teachers I learned under thought I was just disruptive. In reality, they probably did not know (nor care) ... think of all the careers available to us that depend on math! That must be very encouraging to a young student who is wondering about the practicality of using math.
Darn, why couldn’t you my upper school mathematics teacher? Your clarity, energy, delivery, humor would have made me a much more engaged student. Thanks for the refresher! 🙏🏽✌🏽❤️ from Minnesota
The irony is the students the person in the video teaches in school everyday will be saying the same thing 50 years from now about how they didn't have a good teacher back when they were in school and didn't give af about math either. The old saying of, "When the student is ready, the teacher will appear" couldn't be more true.
Actually it’s teachers like this that probably kept you from learning. This guy is trying to sell you something and doesn’t even attempt to use modern pedagogy that has stopped using PEMDAS all together.
The answer is ambiguous because the question is asked in correctly. Use appropriate parentheses and to clarify the ambiguity. Like Excel forces you to do.
@@petersearls4443 That's my point. It's a poorly constructed expression because the question is asked incorrectly. Using parenthesis correctly would clarify that. I think we're both saying the same thing, tho.
I got an answer of 35. I believe I learned to do what's inside parentheses, with multiplication first, then division, then addition, then subtraction, then what's outside the parentheses. Therefore, 2x3=6. 18/6=3. 3+2=5. 7x5=35. Now I'm going to watch the video and see if I remembered correctly, although I've always been horrible at math. I do believe (there was no such thing when I was a kid) that I have a math learning disability, or the "new math" of the 1970s left me with one. EDIT: Okay, so PEMDAS is pretty much what I learned, or at least the MDAS portion, but never switching the division and multiplication. Never. Because then it would be PEDMAS. I guess my entire academic career taught me WRONG. No wonder I can barely add 2+2 these days, and I'm 58 years old.
Yes, whoever taught you either taught you wrong, or didn't make sure you got the nuance of the MD and AS portions of the mnemonic. Also, there is no such thing as new math, per se. Math has always been math, but what made it "new" was the way it was taught on a fundamental way. The same goes for today's "new" math known as "Common Core" math, which is, quite frankly, the worst way to teach math ever invented.
I've never liked "PEMDAS" acronym, somebody invented that after I graduated from high school and I think it's stupid because it's misleading. It makes it look like each letter is its own step. But as shown in the video here - which is the correct way to solve the problem - the MD is a single step. Multiply and divide have EQUAL priority, which one "goes first" literally depends how the problem is written from left to right - which one do you run into first as you read the equation? Then it's the same story for the AS - it is a single step where both addition and subtraction have the same priority. So really I think it should be written like this "P/E/MD/AS" or something instead of just "PEMDAS". If that makes sense. So what I learned to do, and this is something I taught myself because I'm a frikkin GENIUS... is before I even try to do ANY of the math I'll do two things: 1. Rewrite any division as a FRACTION. This prevents me from getting confused about which terms go into the division after I start doing the math. 2. Rewrite any subtraction as a NEGATIVE addition, this way the negative sign will move with the number but I can move the operation around the equation like a regular addition task if I need to reorganize the way it's written out. I don't know if you've started learning about negative numbers yet but if not then I'm sure you'll learn about them soon and you can start using this step once you do. Remember that these two steps I mention are only for the purposes of better clarity in the way the problem is written. I haven't actually done any math yet. So those steps are optional, but personally I find them to be pretty useful just for the sake of keeping things organized as I start moving numbers around. Also remember that these two little steps must also follow the same basic rules as "PEMDAS."
I'm 73 years old. I had a terrible time in school with math. I just didn't understand how how teachers came up with the answers. There explanations just didn't make sense. Never heard of Pemdas. Your never to old to learn. Thanks!
Yes, we learned BEDMAS, now it's PEMDAS🤣. Will try that to see if it's the same answer, thanks! Oh, I'm 67 and from lower BC. Ha ha, did the question before watching🙄
@@tallcedars2310 Actually can depend on what country you grew up, PEMDAS, BEDMAS, BODMAS, but those are not the math; they are all just acronyms, used as teaching aids to help remember the actual math - "The Order of Operations"
My grade 8 teacher used BEDMAS as an acronym....made the order of operations easy to use, and solve problems correctly. I did this in my head in 10 seconds.
If I'm not wrong the right answer is 203. You have to divide first 18 with 2 then multiplie 9 with 3 = 27 then add 2 = 29 and last multiplie 29 with 7.
Division and multiplication are equivalent operations and have no precedence over each other. Same with addition and subtraction. In each case, both are essentially the same operation. Subtraction is just "addition of a negative number," and so forth.
I'll be 67 this Sunday and I wish that I had had you as a math teacher. I hated math in school, but I'm really enjoying your videos! Yes, you can teach an old dog new tricks! 😏
If I’d have had you for a teacher i wouldn’t hate math as much as I do!! You explain it in a way I totally understand, I’m amazed. My kids would be so proud 😂❤
This is the second one I got right first try. I may have actually learned something from this channel. I may never need it. But better to have knowledge you don't need then to need knowledge you don't have.
I'm a new sub and an ole Gen Xer. I never ever learned algebra in school. I remember learning a little bit in a college general math class. Anyway, your style is amazing! I am NOT s math person lol. I do the basics and that's it. So for you to teach me a little bit of algebra in one video shocks the hell outta me, lol. Thank you. Man, where were you in my high school math class. Sounds like you might be Gen X, so you shoulda been in Albuquerque. lol
7:00 you do not need to do it from left to right but only in the correct order. You can multiply first, but then you need to understand, that it is 18×3 because the multiplication refers to the dividend of the division but not to the divisor. So 2×3 is wrong.
Don’t ever remember learning BODMAS and with PEMDAS I was told to apply from left to right like a lot of people here are saying. I wish I had more resources like this when I was struggling in math
When I saw this video, my first thought was, “Challenge accepted.” I got 100% on my last math test and 96% on my second-to-last test, so I knew a simple problem like this would be no match for me. I solved the problem and confidently clicked on the video to check my answer of 36. Then I saw the number 203. I felt attacked. I was confused and angry. I threateningly said to my screen, “Alright, Mr. Teacher Person. Show me how it’s done.” I sped up the video to 1.5x speed, and I skimmed for any possible mistakes. I was at 8:52 when I paused the video. I asked myself out loud, “Mr. Teacher Person is doing everything correctly so far. How is he going to get 203 out of 7+(2+9x3)?” I quadruple-checked my answer. Then I remembered why I had a 96% on my second-to-last test. On the test, my mind invented a negative symbol on an integer that I was subtracting from. Mr. Teacher Person did not get 203 out of 7+(2+9x3). He got 203 out of 7(2+9x3). My self-confidence is utterly destroyed.
I would argue that the likely issue is not so much that the people do not understand PEMDAS, but that they are being careless with the less ideal symbolic representations. The use of the obelus (÷) instead of the forward slash can cause people to make this careless mistake. I would find it interesting to survey a large number of people and present the problem in two (maybe three) forms to see if one form is more likely to cause an issue. I suspect that the obelus is more problematic and generally such a representation should be avoided if the intention is to avoid miscalculations. Also, I am sure you know this but you did not convey it here; there is nothing wrong with processing M before D in this expression; but you need to know which are the correct operands to use. If the expression is represented with a horizontal bar with 18 above and 2 below followed by the multiplication with 3, I believe most people will avoid such a mistake and either operation may be performed. In other words: (18x3)/2 == (18/2)x3. With a masters in Electrical Engineering and Firmware Engineer by profession, I deal with calculations/logical expressions regularly; to avoid mistakes we are liberal with our parenthesis. These expressions are known as bad practice (bad form). I am not sure if schools do this, but they should take the time to point this out. Especially, where there is a large demand for programmers, I see a lot that write code that is error prone.
7(2+3(18÷2)) = 203 is a lot more logical, organized and clearly stated to me. Writing it in the original format is like writing english without using capitalization, commas or periods.
Science and real mathematicians always do multiplication before division, AND they never use this notation because it is ambiguous. It will always be written 18 over a horizontal line with 2x3 below the 18. Usually therms like 2x3 will be in brackets, but not always.
@@davidloewen5528 obviously professionals would not write it this way. But this is an example of how to process it if it is constructed by someone who is sloppy. Also real scientist don’t do multiplication first unless they want the wrong answer. I’ll answer your question before you ask it. No I am not a scientist. But when working at Jet Propulsion Laboratories I was reminded of order of operations by a scientist after I had forgotten about what I learned in school about it. That was 59 years ago and it was an embarrassing situation which has helped me remember it over the years.
I loved Algebra in H.S. I taught the other students who did not understand. I had to retry a couple of times before getting right. I would go back to High School anytime. Thanks for explaining this. Students who do not understand, this will surely help them. Do more. I love what you do !
You are such a wonderful teacher! I’m 77 and have always been terrible at math, but I think I would have loved it if I’d have had a teacher like you! I actually learned from angry nuns and was terrified of making a mistake! The only time I enjoyed math was geometry…I could understand that for some reason.
How do you know when you would multiply the 7 throughout first? Is there ever a situation where you would solve the problem that way? I'm pretty sure the answer comes out the same either way.
This is a fair question. I tried it and did come up with the same answer of 203. This is the expression that distributing produced: 14 + 126 ÷ 14 × 21. The "cost" of this method is that you'll now either need a calculator or some good mental math prowess. What's 126 ÷ 14? What is that result times 21? Then you have to add the 14. Is it easier just to use order of operations on the original problem?
I'm English, 55 yrs old and was always taught BODMAS. (o for orders) , this way it tells you the correct order. Young people in the UK are now taught BEDMAS. (e for exponent). ,,, Equals same thing
I was at school many years ago and the teachers were nothing like you, I was hopeless at maths, it did get better at technical college where I could see the reason I was trying to calculate something.
I received good grades in school except for math. I've felt shame for years because it was fiercely difficult for me to understand . . . Like I'd come from another planet. Thank you for your great tutorials and offering tools that make sense. I swear I never heard of PEMDAS before. I became a subscriber today.
Sorry but I desagree... how do you solve the same equation if you got 7(2+18/2x3) but / as a long horizontal line ? (It is no possible for me to write like this here) You should first make the operación up the line 2+18, after the operation beneath the line 2x3, then divide the results and finally multiply by 7. If you want to get 203 as a result you should clarify adding ( ) to point what operation you want to be executed first. If you write an ambiguous question you will get an ambiguous answer. Greetings.
I got it right once I figured out the order of operations in math which is (PEMDAS). Parentheses first, then exponents and then multiplication and division, whichever comes first from left to right and then addition and subtraction, whichever comes first from left to right. So, the answer is 203. I love math.... I love solving things!!!
Well, I'm 56 and I got it right, with PEMDAS/BODMAS. Also, when you get to 7x29, you can do mental maths of 30x7=210, 210-7=203.
That's how I got it. Is it correct? I haven't done this kind of math since high school. Lol
203. That is 100% correct. Math is my forte.
Did exactly this 30x7 - 7
I don't see how you ended up with the same answer. The difference between the two is order of operations between multiplication and division. If you do division first, you get a different answer than if you did multiplication first.
Hurrah! I remembered the old math rules.
Thank you. I'm 73 years young. My father was a middle school math teacher, and I could never get it. Teachers would be filling up the black board with figures, and filling up the air with words. Other students were asking pertinent questions, but to me the whole thing was gibberish. A teacher friend showed my wife and me a VHS video from a conference on learning disabilities that he attended, with the thought that it might be relevant to some problems our son was experiencing. It was a life changing moment for me. I didn't see my son. I saw myself. I was always considered to be intelligent, but in school, was getting D's and F's in math. With your channel, I can pause, repeat, and work my way through at my own pace, and I can get it.
You have explained a lot to an old woman like me.
Same here. I learnt maths on UA-cam with an exceptional teacher called Mr. Greene. He has complete courses going all the way up to and through Algebra 2.
Well done, I forgot about PEMDAS. Thank you
Glad you are finding success at your own pace! 😊
A person may be a math genius and still not know how to teach math....that, quite often is the case when a student is acing every other subject but lagging behind in math.
Got it right because, following pemdas, I did 18/2=9 straight away then 7(2+27)
7(29) = 203
I just want to say thank you for making it so easy to comprehend. I really struggled with math since the sixth grade because my math teacher really traumatized me and belittled me in class so ever since then my mind would literally shut down when it came to algebra. I failed many tests because of it and it's something I always tried to overcome and get better at. Thanks to you I've been able to solve most of these problems you present here and I'm really happy about that! I'm no longer afraid to try and solve math problems. I'm very close to being sixty years old but I'm not one to give up on something I really want to learn. You have been the only one I can really learn from and believe me I have tried learning from others but for some reason it just would never stick to my brain lol
So thank you for doing this, you truly have a great gift to teach, especially for those like me that struggled for so long.
Ah, sometimes the people who are teaching us can have good intentions, but quick to judge. I know of someone who their own father who used to help him with studies said that he should never do anything math related. I still remember the day when it happened to him. He himself had barely passed his middle school math exam and could not understand algebra. But, as incredible as this might sound, he was amazing at math in high school. On super difficult math exams, he would be the top scorer in the entire school. He got into Engineering with one of the top scholarships, was the top scorer in math exams at the University, went onto complete his PhD in the same field lol. He also partly credits one of his high school teachers that really motivated him and also made things click for him. Imagine if he had completely given up.
Finally!! Never could understand this in 7th grade. I’m 81 now and finally got it! Thank you!
Wow, that is very interesting. Thank you for that. Love this channel!
203
Brackets first. Then '÷' and 'x' as both have equal weighting, so work left to right. 18÷ 2 = 9 x3 = 27. Now add 2 = 29. Multiply 29 by 7. So 203
Or 2x3=6, 18 divide 6=3, 3+2=5, 5x7=35. It’s one of those 2 answer questions 😂, just to mess with our heads 😂
@nataliewright3665 No, sorry. You are supposed to do the DM from left to right, so you can't do the 2 x 3 first.
@@nataliewright3665 WRONG. It is a ONE answer question. Go back to school.
Same. Where you from where did you learn this I was educated in Montreal
Got it 203 💯
Not once in school was M/D and A/S described as a set (and subsequent "switching" of the order of those operations depending on left to right where they fell in the equation) the way you did it. Now, after watching this, I understand. Great job in clearing that up.
I am a 75 yo grandmother who is preparing to assist my grandchildren with their homework. I have decided to refresh my math and science skills. Thank you.
I was able to get 203. You explained a similar equation before, so I applied your expertise on this question and I came up with 203. Thank-you for teaching me math problems. I'm 67 now and I was very good in math when I was in school. I obviously didn't retain my knowledge in this subject, so I'm happy that you refreshed my mind.
238
@@ChristianAustinite no 203 is correct.
202
Yeah 203 because I firgot the answer by the time i got to the comments.
@@nancyjanzen5676 how did you come up with 202?
Greetings. Yes we can. The answer is 203. The bracketed portion works out to be 29 which is then multiplied by 7 to get 203. How did we do it? First, we start with the bracketed figures. In the brackets, we first divide 18 by 2 to get 9, we then multiply 9 by to get 27, 27 is then added to 2 to get 29 and thereafter we multiply 29 by 7 to get 203.
Order of operations! 👍🏻
I was awful at math and I got it lol (a math epiphany)
Aww i do not know the "pemdas
And bocas. Plrs forgive me!
Where does it say minus 7?
203
Answer 203. Before watching a few of your Math Class vids I would not have calculated this properly. I never understood what came first or what I was supposed to do with the number outside the brackets. I never had a proper math teacher in either primary or secondary school, so I concentrated on every other subject and gave up on math. You have now restored my faith in myself and I shall stop telling people I was never any good at math. I could have been if I was taught. What a shame I've only discovered the rules at this end of my life. In case you're wondering - this is not a result in a lack of education, I had 2 Masters degrees (in Literature and Ancient Languages) and a PhD in History and Medieval Languages. Note, none of these involve more than a rudimentary knowledge of math. So again, thank you so much.
I was always frustrated with math, my teachers were old school. I could not advance in my career because, I did not understood algebra.
Now that I’m 71 years old, I took my time to learn.
Thank you for correcting my procedures regarding PEMDAS. I got it wrong with MDAS. I actually got 210. Thank you. Math is fun and fascinating. Even at 71.
Me too
Me too, also lol 🤣😂 at 59
Me too
I'm 68 and Canadian. When I went back to university in my 40's I was given the formula BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction. I don't ever remember being given any rhyme or reason for the "order of operations" when Algebra was introduced to us in grade 6. I was totally confused and felt I was very dumb and would never, ever figure this "new math" out. I shut down and despite being an excellent student in everything else, failed Math continuously. It affected my confidence, choice of career, self-esteem. I wish I had had a wonderful teacher like you. I truly believe my life would have taken a totally different path. I am subscribed and will try to learn with you now that I'm retired. Better late than never.
well its actually not new math, the order of operations roots date back to the 15th century
@@triXsolarflare Yes, but that is what it was called in the sixties, at least in my school. That's why I have it in quotes.
@@deborahdeborah8724 I am Canadian also, and yes, it was BEDMAS for me also, but again this is just a very generalized acronym; it is just a teaching aid it is not the math. We were all taught "The Order of Operations; we were all taught the rules of The Order Of Operations and were taught how to remember The Order of Operations by using the acronym BEDMAS, BODMAS, PEMDAS, PEDMAS, BIDMAS, all acronyms, all teaching aids, all tools to help remember The Order of Operations and its the acronym that sticks in our heads. It is easy to forget how we were actually taught this; it was taught to us in the 5th grade; who remembers every equation, every rule, and every science equation we learned back in school? But a teacher is not going to teach you a very generalized acronym only, and not teach you the math behind it, without understanding the underlying rules it was derived from, which is The Order of Operations. Some 55 years for you and I? What are we most likely to remember, the underlying rules we were taught or the acronym, the teaching aid we learned to remember it? I am 62 btw :)
Same here. I am 70 and it was never properly explained to me. I did it straight through, left to right, and I came up with 210. Fail!@@deborahdeborah8724
PEMDAS
Parentheses
Equalities
Multiplication
Division
Addition
Subtraction
Hi, I’m in my 60’s and I’m learning with you something new with you. Thank you so much!!!!!
Lol. I'm with you! They say we learn something new every day! I'm 69.
As I understand it, what is in parenthesis is calculated first. Division and multiplication come before plus or minus but they are equal so you calculate them in the order in which they appear. Therefore 18 divided by 2 = 9. Then multiply 9 by 3 which = 27. Then then the addition in the parenthesis means 2 + 27 which is 29. The 7 outside the parenthesis is now multiplied by the number in the parenthesis, so 7 x 29 = 203.
That’s exactly how I did it. For reference, I’m 62 and am glad I still remember how I learned to do it all those years ago.
But if we are Dividing before multiplying….why is it not PEDMAS….and not PEMDAS??I grew up with BODMAS. BRACKET OF ETC.
@@DillyDahlia I'm also 62 and got it the same way!!
@@surinder50 It is simple ...multiplication and division have the same priority. Therefore ...you go LEFT to Right. Multiplication is not a priority over division. Division is not a priority over Multiplication. After brackets, after parentheses ...do Multiplication and/or division in the order that they come from left to right. So technically you are right ...PEMDAS and PEDMAS are one and the same.
We’ll, I’m 73 and have forgotten all of the rules….and never heard of PEMDAS. I did however, KNOW to do the division first, the multiplication second, then the addition and finally the multiplication. Whoever taught me my primary math must have been a really good teacher. And I thank her/him even though they have probably have passed on.
I'm 71 and you have shown me a very simple basic thing that teachers never made clear to me about these problems. That is regarding the PEMDAS. I coul 12:46 d never get the correct answers because I always thought that after parentheses and powers were done, then I had to do multiplication first, then division, then addition and finally substraction, always in rhat order. WTHeck!!! Now I wish I had a whole book of these problems to do just to prove thar I am not stupid afterall. Thank you so much teacher John. You are the best. You don't rush and you speak in a nice, even, quiet tone that makes me feel like I really can do math. God bless you.❤
We studied this rule as BODMAS during my childhood. Which stands for Brackets, Order of Power or Root, Division, Multiplication, Addition and Subtraction
@@venkateshyerramalla multiplication and division from left to right as well addition, subtraction. But this no valid term it is just a meme, because their are supplementary operations to take in consideration.
For me, where I was taught, I was taught that the "MD" and "AS" parts of GEMDAS/PEMDAS are done in the order they appear in the equation. So in this, because 18/2 comes BEFORE the 2x3, the 18/2 comes first. This means the equation is 7(2+9x3), or 7(2+27), or 203.
However, I've heard that some places are taught to do multiplication BEFORE division, since M comes before D in GEMDAS/PEMDAS. This means the 2x3 is done first, since multiply before division. Meaning the equation is thus 7(2+18/6), reduced to 7(2+3), or 35. Even calculators can get this wrong, depending on which "rules" its programmed in.
Giving the multiplication higher precedence than the division is just a misunderstanding of the stupid 6 letter acronyms. Note that while some common variations of the acronym like PEMDAS and GEMDAS happen to have M before D, other common variations like BODMAS and BIDMAS and BEDMAS happen to have D before M. That's because MD vs DM in the acronym doesn't make any difference to the calculations.
The solution to this issue, if you want to use an acronym for this stuff, is to use the four letter variations like PEMA or BOPS, which exist precisely to avoid this misconception.
I'd be fascinated to see a calculator that doesn't give the answer 203 for this.
I was taught that multiplication first followed by division.
@@wilfredodagohoyno it is the order M&D appear in the expression.
I got it right the first time but I had to go back and remember those rules. GREAT class. U.S. Schools need YOU DESPERATELY 👏🏽👏🏽🙏🏽
There was a time when I really, really needed you. Unfortunately, you had not yet been born! Even at age 69, with your help, I am learning what I never could grasp in school. Thank you. I have subscribed, clicked the little bell and given you a well-deserved thumbs up.
karenholley That would be me too. I'm 64 and I struggled so much with math until one teacher made a difference in my life. I never got below an A- in his Algebra I class, but the following year in high school, I couldn't keep my head above water. Different teacher, different persona, and I couldn't wait to drop it at the end of the 1st semester. I'm trying to watch at least a couple of his videos every day or so, just hoping to get one right.
I love math, I've been using BODMAS FOR THE LONGEST TIME in my teaching. I've seen PEMDAS but was not keen to try it. This channel help me to try and learn new ways. I did and I'm over the moon. Thank to you. ❤
PEDMAS: Do within the parentheses first, Multiply OR divide, whichever is closest left 18÷2=9, then multiply 9×3=27, then add 2=29. Once that is done, the equation reads; 7(29) = 203
When working a complicated equation, you have to look at the large picture and deal with the top priorities first. In this situation, the top priority is the brackets. This means that you have to complete this equation inside the brackets before going to anything outside of them. Within the brackets, you have a division sign and a multiplication sign that take equal priority over an addition sign. Doing the higher priorities first, and left to right, you have 18 divided by 2, which equals 9, and then 9 x3, which equals 27 as the total of the two operations. Then the 2 is added to 27 for the final operation within the brackets, which equal 29. Then you go outside the brackets and take the 7 and multiply by 29, which equals 203. The brackets( which are indicating to multiply the result within the brackets(29) to the result outside the brackets, which is simply the number 7) take the highest priority in the total operation for the very reason I have given to you within THESE brackets. So, 203 is the correct answer. Thank you, Ruth Coffey!
There's nothing complicated about this.
precisely.
That’s how I did it lol
Yes,you are right 👉
I also did this working
On the final step. Because I don't know off hand what 7x29 is. I multiply 7x30 which I know is 210. I can do that in my head. Then I subtract 7 which gives me 203. I learned this in school in Canada in the 70's rounding numbers up or down to the nearest 10 then subracting or adding the number your multiplying by. It just makes it easier to calculate in your head.
Same here
I did the same thing ...so easy to multiply times 30 and subtract 7 than 7X29 . Learned that in the late 50's. This has been a great thing to make me remember the basics. This is just fun...
@@dougs867 ya that's it lol
That’s what I got.
I am 79 and enjoying your math instruction. Pity you were not around as a teacher 67 years ago as my math teacher.
I’m 75 and finally learning algebra with your great teaching. I attempted algebra in grade 9 but just couldn’t understand it and gave up, but always wished I knew how to do it. I never knew pemdas so glad I’ve learned it now. I’m struggling somewhat with the algebra but catching on will take some practice and I’ll keep watching your videos. It’s never too late to learn! I’ve also taken up drawing and painting at this age and actually doing pretty good with it, I never thought I could draw.
I got 203. We were taught BODMAS, Brackets Of Division, Multiplication, Addition and Subtraction. It's quite easy.
You must be very young
@@robertogarcia7019 Born in the 60's, so not so young. lol
We were taught BODMAS too and I was born in the 1940s!
O is orders (exponents/roots).
Agreed. Division should come before multiplication.
How to do
Process parentheses
18/2 >>> 9
9*3 >>> 27
Alternative way: move 3 to the front
(3*18/2) >>> 54/2 >>> 27
27+2=29
Then multiply by 7
29*7=203
Answer is 203
There is always one smart person in the group. 😀
@@artcuriel5449follow the lessons and you’ll begin to get them too!!!
I got it ) Here just to check :P
My calculator said 98
Yep, that is what I got too.
For everyone still curious, PEMDAS should really be written as PE(M/D)(A/S), as multiplication or division, then addition or subtraction, are done left to right in the equation. If division came before multiplication, that's how you would simplify the equation, or vice-versa. Same would be applied to addition and subtraction. If subtraction comes before addition, that is how it would be applied.
I’m going with 210
In 2 min
This is the rule: Inside the bracket always go first. Multiplication/division is (equal weight and left first) must before addition/subtraction.
203. Solved inside the parentheses first by dividing, multiplying, then adding to get 29.Multiplied 20x7 for 140 then 7x9 for 63.Finally combined those products. 140 + 63=203
That's what I got
I got the same, 203.
Also
Multiply before divide in the parentheses.
@@KerryCOUSINO Get your self a Scientific Calculator and try 20÷4×5 and see if you get "1", as you say, or "25" like those doing PEMDAS PROPERLY would get.
I'm 68 and wasn't taught this way. I was taught parentheses, left to right, then multiply the 7 times the number from the parentheses
Correct, but within the parentheses you also have to follow the rules. And as operands of equal status are done from left to right, so (2+18/2x3) = (2+9x3)=(2+27)=29.
And therefore 7x29=203
@kathleeningram3880 No one alive today was taught PEMDAS the way you described it unless they were taught incorrectly, as the order of operations has been around for centuries. If you weren't taught that multiplication and division carried equal weight and that addition also carried equal weight, then your teachers failed you.
@techone72893 never heard of pandas. For a math teacher trying to make math easier he failed. I was taught start from left to right in parentheses then times the 7. It comes to 210
@@eleanorbaumgart969 Whoever taught you that was incorrect, unfortunately.
You would of gotten 210 too
When I was in school in Canada in the 1960s, I learnt that it should not matter whether PEMDAS is left to right or right to left. It was always P, then E, then M, then D, then A, and then S in the order of operations. I would read this as 7[2+(18/2x3)] = 7[2+(18/6)] = 7(2+3) for a solution of 35. I thought the same principle of direction applies to all math problems, i.e., the end one begins should not matter. Do you happen to know when MD and AS were grouped and PEMDAS went left to right?
Unfortunately no. In Order of Operations M&D have same priority and are handled left to right. Same goes for A&S. Answer is 203.
@@petersearls4443 I wonder when that process changed. I am a scientist myself, so I have retained what I learnt in the 1960s because I enjoyed it so much. Luckily, though, I am an ecologist who seldom needs algebra!
@@jamesneville2746 I believe the last changes were made to Order of Operations around 1905. However M&D having same priority, I believe goes back to the creation of Order of Operations during the 16th or 17th century.
@@petersearls4443 Thanks!
Oh my goodness, where were you when I needed you 45 years ago?? I made straight A’s in everything EXCEPT algebra. I thought I was just dumb in algebra but now I understand it was the method used to teach me. Wow! A new subscriber here.
In England we use BODMAS - brackets, order (power) division, multiplication, addition, subtraction.
Yes, and that got me to 203 straight off. 18/2=9, 9x3=27, 2+27-29, 29x7 =203. It took me seconds. Amazing how these things become instinctive. Thank you , Mr Gordon!
@@Dragonblaster1 I was taught BODMAS however all of my maths teachers told us to carry out the DMAS calculations in that precise order (the left to right thing was definitely never taught) and I've gone through all my life doing this (seemingly) without issues. I was good at maths - I took my GCE/O Level (yes, I'm that old) a year early, got an A grade and went on to do Advanced maths. So, learning the left to right rule only now has blown my mind! Of course, in this example, I still got the correct answer using BODMAS but if the multiplication had appeared before the division I'd have failed! Wow!
I was taught BODMAS, but I have met people that use BOMDAS
Same here in my country South Africa 🇿🇦🇿🇦,we do BODMAS 😅😅
210
I was taught BODMAS in school; brackets of, division, multiplication, addition, subtraction.
Therefore brackets: 18/2 = 9 x 3 = 27 + 2 = 29 … 7 x 29 = 203
Jedi, there's no subtraction in so called Bodmas
U could’ve also used the distribution system: 7(2+27)=14+189, which is: 203.
Thank you as I didn’t get math when I was in school , but I started later in life with Son and Daughter math homework and I just used dread trying to help until I just started to really look and I finally started to catch on but going to subscribe to your channel as I find math interesting now
I got it wrong. Do not remember the term PEMDAS; I’m 60. For what it’s worth, I excelled in English, Spelling, etc and was really good with rebuses. Therefore my answer here is 210. 👍😊
Im 60 and I never had to learn stupid initialisms to remember math problems...guess the GPA in other places needs help...
Age 72 I also got 210 😮
I got 210 too. I think he's WRONG!
203 is correct. Start within the parenthesis and do multiplication and division first followed by addition & subtraction. After doing the math in the parenthesis, multiply that amount by 7.
203
Wow I had terrible math anxiety in high school. I never heard of PEMDAS. Math always seemed like a mystery but stuff like this makes it clear!
My anxiety would not allow me to answer questions in any subject, but usually just on the tests. That shows that the anxiety is overriding the intelligence.
I feel ya man. Another brother in arms who had their gym teacher moonlight as their math teacher.
I don’t know how many students I’ve come across in my 27 years as an educator who make this same claim but in most cases it always was taught but they just ignored it and forgot about it. My guess is that when you were taught this basic math concept you so it irrelevant and/or confusing so never stored it in your long term memory.
Same here.
@@kristiancartwright7451 probably was taught, but poorly so they had no real understanding. Just going through the motions. As such the knowledge mutates almost immediately.
Thank you for explaining this so well. My primary school teacher humiliated me (and shoved me across the room) for not understanding equations. That experience of being made to stand up in front of the class to try (and fail) to solve equations on the chalk board scarred me for life. She encouraged the class to laugh. I was 11 years old and failed at maths again and again, despite excelling in other subjects at secondary school. I find public speaking difficult to this day. That was in the 1980s so Miss Tully is probably long deceased. I wonder if she had any regrets around her teaching style.
Tyrants only regret not be tyrannical all the time.
Many thanks for your careful explanation. I am 75 and delighted to find an application that takes maths back to earliest applications because I changed schools multiple times with location and had to give up when I was not at an acceptable level of knowledge in early post primary schooling. I have liked and subscribed and will endeavour to follow this up. Doing maths cross has helped me gain a little confidence in basic skills but this is another skill that I am sure I can learn in my own time. Greetings from Australia. 😊
210 2+18 = 20. 20/2 = 10. 10 x 3 = 30. 30 x 7 = 210. Made sense to me. Never was taught or heard of PEMDAS and I’ve been around for awhile. I just used simple logic and sequence but I see that doesn’t necessarily apply in math. For others who’ve been around awhile, they may say I used the Pa Kettle method of math. Well I did learn something new today. 😄 Thanks
That's what I got too.
203--- multiplication and division prior to adding and subtraction
Logic for me also, and I'm old 😂
Yes thats what i got 210. Do the sum in brackets then multiply that figure by 7
were do you get the multipler from? it is not in the sum parenthesis,so you can only add to the sum out side the parenthesis.did you go to school
203. Division comes before math in the problem, so you have to divide before multiplying. Remember, in the order of operations, multiplication and division go together left to right. PE(MD)(AS)
My first attempt was wrong, then I remembered that formula and got it right. It’s been a while 😆
Division and multiplication are interchangeable. Think of division as multiplication by a fraction. (Dividing by 2 is the same as multiplication by .5)
That’s where I went wrong
Let's evaluate the expression 7(2 + 18÷2 x 3) using BODMAS:
1. Evaluate the expression inside the parentheses:
- Divide 18 by 2: 18÷2 = 9
- Multiply 9 by 3: 9 x 3 = 27
- Add 2 to 27: 2 + 27 = 29
2. Multiply 7 by the result:
- 7 x 29 = 203
So, 7(2 + 18÷2 x 3) = 203.
The final result is 203!
Note that, as we discussed earlier, BODMAS evaluates division before multiplication, which leads to a different result compared to PEMDAS.
You can't get a different result with BODMAS vs PEMDAS. They're the same thing.
BODMAS does not do D before M and PEMDAS does not do M before D. That's a common (and understandable) misconception.
It's a 4 step process not a 6 step process. The DM step in BODMAS is identical to the MD step in PEMDAS.
BODMAS/PEMDAS simply tells you to read the divisions and multiplications left to right. With 18/2×3 you do the division first because it appears first.
This man is a very good teacher! A lot better than the ones I had in high school or college. Except for one college professor who was originally from China. He was a very patient man who made sure everybody he could learn how to solve the math problems.
I got it right, I’m happy to say! A couple of years ago I probably wouldn’t have but I’m doing K12 online school with my grand daughter which has reinforced what I already knew. I also have learned some things I was never taught in school. PEMDAS was one of those things. I’m 59 years old and am FINALLY confident in my basic Math abilities.
Having teachers that can communicate in a way students understand and can figure out how to make math fun and relevant helps with students succeeding as well.
I had some really great teachers who knew how to teach without us realizing we were learning. I’ve also had teachers who basically said “read the book. Ask your parents or figure it out”.
And that’s when the overwhelming frustration starts, followed by the “Why should I bother?”
I really appreciate having a wonderful math teacher like you that is patient and open minded. My experience with math teachers during all my school years was very negative because the teachers only liked the students who got the lessons the quickest. I got some things right away and other things I did not as I found some concepts to be more complex and needed a little longer to work through it. If all my math teachers were like you, I would have had a very good experience with math. It's not that I hate math I actually like it especially working with equations ie algebra.
Lillie you are too ready to blame your teacher but you are the problem
Solve what's inside the brackets first. [(2 + 18 ÷ 2 × 3) = 2 + 9 × 3 = 2 + 27 = 29 ] 7(29) = 203
I’m 76. Had “new math” in 8th grade, Algebra I then Algebra II in 9th and 10, Geometry in 11th, College Algebra sophomore year in college and, finally Mathematics Fundamentals to try and make sense of all this. Not once in all those courses or years do I ever remember being taught PEMBRAS.
Interesting. I was taught PEMDAS as early as 3rd grade back in the 80s. My mother learned it in the 60s. My grandfather was taught “order of operations”, which is the same thing. He graduated school in the 40s.
Just because you weren't taught PEMDAS, does not mean it did not exist. At the end of the day, however you were taught as long as you get the right answer, you're good.
@@linedanzer4302 🎯
We used a rhyme
I’m from before acronyms lol
Baaaahaaahaaa. I thought it was just me. 30 years later my eldest took geometry in 9th grade. Went way further than I could have. She taught me PEDMAS. Sure seems strange to me.
For those getting hung up on the MD and order to perform the operation, remember this: division is just multiplication by the inverse. So 8 ÷ 2 is the same as 8 x ½ . Same operation will always then go from left to right. Same thing goes for the AS: subtraction is just adding the negative of the number. So 5 - 2 = 5 + (-2) and then again - perform in order left to right.
Thank goodness I never had you as a math teacher. You take forever to explain a solution.
Math definitely starts training our brains to focus. But it takes a good teacher to start cementing the basics into our brains. I have always lived life with numbers, but much escaped me, either through youthful inattentiveness, or not disciplining myself to learn a concept because I saw no practical reason for it. What math I can do, I was taught by rote memorization ... and, had I not had that foundation in my tool box, most of math would have been beyond my ability. At time where basic English is not taught via phonics, is it any wonder that many of today's students sit in classrooms, but they are not taught how to train their minds, by teachers who are taught less than what their grandparents knew when they left the eighth grade! At 73 I am most intrigued by these videos - - and, am advancing in areas that I had pretty much given up on and ignored. Figures do not lie - - they are tangible, they are logical, they make sense .... when they do not, it is because someone is lying (very simple!) ... I always ask the question: What is the life application this math is applied to?
Most of the teachers I learned under thought I was just disruptive. In reality, they probably did not know (nor care) ... think of all the careers available to us that depend on math! That must be very encouraging to a young student who is wondering about the practicality of using math.
Darn, why couldn’t you my upper school mathematics teacher? Your clarity, energy, delivery, humor would have made me a much more engaged student.
Thanks for the refresher!
🙏🏽✌🏽❤️ from Minnesota
Could have explained this in half of the time. Love your videos, but they are too slow.
The irony is the students the person in the video teaches in school everyday will be saying the same thing 50 years from now about how they didn't have a good teacher back when they were in school and didn't give af about math either. The old saying of, "When the student is ready, the teacher will appear" couldn't be more true.
I never did well in math at school but I never had a teacher as good as yourself. The way you explained it it was easy. Thanks.
Actually it’s teachers like this that probably kept you from learning. This guy is trying to sell you something and doesn’t even attempt to use modern pedagogy that has stopped using PEMDAS all together.
Thank you I'm 72, you should have been my high school teacher and then I wouldn't have struggled so. It definitely wasn't explained like this. Bravo
The answer is ambiguous because the question is asked in correctly. Use appropriate parentheses and to clarify the ambiguity. Like Excel forces you to do.
You missed the point. This is an example of a poorly constructed expression so that you can learn how to process it if you run into one.
@@petersearls4443 That's my point. It's a poorly constructed expression because the question is asked incorrectly. Using parenthesis correctly would clarify that. I think we're both saying the same thing, tho.
@@ChefDuane I agree.
I got an answer of 35. I believe I learned to do what's inside parentheses, with multiplication first, then division, then addition, then subtraction, then what's outside the parentheses. Therefore, 2x3=6. 18/6=3. 3+2=5. 7x5=35. Now I'm going to watch the video and see if I remembered correctly, although I've always been horrible at math. I do believe (there was no such thing when I was a kid) that I have a math learning disability, or the "new math" of the 1970s left me with one.
EDIT: Okay, so PEMDAS is pretty much what I learned, or at least the MDAS portion, but never switching the division and multiplication. Never. Because then it would be PEDMAS. I guess my entire academic career taught me WRONG. No wonder I can barely add 2+2 these days, and I'm 58 years old.
Yes, whoever taught you either taught you wrong, or didn't make sure you got the nuance of the MD and AS portions of the mnemonic. Also, there is no such thing as new math, per se. Math has always been math, but what made it "new" was the way it was taught on a fundamental way. The same goes for today's "new" math known as "Common Core" math, which is, quite frankly, the worst way to teach math ever invented.
Not at all. You are right EXCEPT when div and mult are both in the same equation. Same with Add and Sub. I forgot too. I'm 75
@@techone72893 I disagree if you got 203 then you are doing new math so either we were taught wrong back in the day or this is new math
I've never liked "PEMDAS" acronym, somebody invented that after I graduated from high school and I think it's stupid because it's misleading. It makes it look like each letter is its own step. But as shown in the video here - which is the correct way to solve the problem - the MD is a single step. Multiply and divide have EQUAL priority, which one "goes first" literally depends how the problem is written from left to right - which one do you run into first as you read the equation? Then it's the same story for the AS - it is a single step where both addition and subtraction have the same priority. So really I think it should be written like this "P/E/MD/AS" or something instead of just "PEMDAS". If that makes sense.
So what I learned to do, and this is something I taught myself because I'm a frikkin GENIUS... is before I even try to do ANY of the math I'll do two things:
1. Rewrite any division as a FRACTION. This prevents me from getting confused about which terms go into the division after I start doing the math.
2. Rewrite any subtraction as a NEGATIVE addition, this way the negative sign will move with the number but I can move the operation around the equation like a regular addition task if I need to reorganize the way it's written out. I don't know if you've started learning about negative numbers yet but if not then I'm sure you'll learn about them soon and you can start using this step once you do.
Remember that these two steps I mention are only for the purposes of better clarity in the way the problem is written. I haven't actually done any math yet. So those steps are optional, but personally I find them to be pretty useful just for the sake of keeping things organized as I start moving numbers around.
Also remember that these two little steps must also follow the same basic rules as "PEMDAS."
I applied My Dear Aunt Sally and got 35, too.
I'm 73 years old. I had a terrible time in school with math. I just didn't understand how how teachers came up with the answers. There explanations just didn't make sense. Never heard of Pemdas. Your never to old to learn. Thanks!
the same here. 73 rules
203 All Day long!!!😁
I totally get that.
Yes, we learned BEDMAS, now it's PEMDAS🤣. Will try that to see if it's the same answer, thanks! Oh, I'm 67 and from lower BC. Ha ha, did the question before watching🙄
@@tallcedars2310 Actually can depend on what country you grew up, PEMDAS, BEDMAS, BODMAS, but those are not the math; they are all just acronyms, used as teaching aids to help remember the actual math - "The Order of Operations"
Why not write the equation thus 7(18/2x3+2)=?
Then we simply apply left to right within the parentheses?
My grade 8 teacher used BEDMAS as an acronym....made the order of operations easy to use, and solve problems correctly. I did this in my head in 10 seconds.
If I'm not wrong the right answer is 203. You have to divide first 18 with 2 then multiplie 9 with 3 = 27 then add 2 = 29 and last multiplie 29 with 7.
Division and multiplication are equivalent operations and have no precedence over each other. Same with addition and subtraction. In each case, both are essentially the same operation. Subtraction is just "addition of a negative number," and so forth.
I'll be 67 this Sunday and I wish that I had had you as a math teacher. I hated math in school, but I'm really enjoying your videos! Yes, you can teach an old dog new tricks! 😏
If I’d have had you for a teacher i wouldn’t hate math as much as I do!! You explain it in a way I totally understand, I’m amazed. My kids would be so proud 😂❤
I was halfway there. Forgot to multiply my seven. Thank you for sharing. I’m loving this.
This is the second one I got right first try. I may have actually learned something from this channel. I may never need it. But better to have knowledge you don't need then to need knowledge you don't have.
I did not get it right, arriving at 210. Your explanation was excellent, and focused on how I made the error.
Me too
I made the same addition mistake.
In the UK, the answer will always be 210….additional parentheses would be required to ever get to any other answer
Where I learned math years ago it is still 210 😉
I'm a new sub and an ole Gen Xer. I never ever learned algebra in school. I remember learning a little bit in a college general math class. Anyway, your style is amazing! I am NOT s math person lol. I do the basics and that's it. So for you to teach me a little bit of algebra in one video shocks the hell outta me, lol. Thank you. Man, where were you in my high school math class. Sounds like you might be Gen X, so you shoulda been in Albuquerque. lol
I'm a pretty good math mathtition. 9,625×5=48,125 25×5=125 9×5 45. 600×5=3000 45,125+3,000=48,125. That's my long multiplication.
203 you must do the multiplication and division prior to add and subtract
ABSOLUTELY !!!! that is exactly what I got - I remember this from school !
Yes, but do you divide 18 by 2, then multiply your result by 3, or do you multiply 2 by 3 and then divide 18? @@celitarivera7532
Interesting how you said it in that order, multiplication and division, and came away with 203 instead of 35.
@@Xeranx you always do what is inside the brackets first
First, the parenthetical in that order , left to right, then work outside the parenthesis in that same order of operations.
7(2+27)=7(29)=203 the “My Dear Aunt Sally” has to be performed inside the parentheses first.
I was looking for this simple comment. You nailed it. A 13 minute video that you summed up with a few seconds of reading.
My Aunt in London is called Susan. Does it still apply?
Agree
Multiply, add, limit, then subtract? @@Isleofskye
@@clintonfreed412 If it's shown to be easy, how will the middlemen make any money?
7:00 you do not need to do it from left to right but only in the correct order.
You can multiply first, but then you need to understand, that it is 18×3 because the multiplication refers to the dividend of the division but not to the divisor. So 2×3 is wrong.
Don’t ever remember learning BODMAS and with PEMDAS I was told to apply from left to right like a lot of people here are saying. I wish I had more resources like this when I was struggling in math
When I saw this video, my first thought was, “Challenge accepted.” I got 100% on my last math test and 96% on my second-to-last test, so I knew a simple problem like this would be no match for me. I solved the problem and confidently clicked on the video to check my answer of 36. Then I saw the number 203.
I felt attacked. I was confused and angry. I threateningly said to my screen, “Alright, Mr. Teacher Person. Show me how it’s done.” I sped up the video to 1.5x speed, and I skimmed for any possible mistakes.
I was at 8:52 when I paused the video. I asked myself out loud, “Mr. Teacher Person is doing everything correctly so far. How is he going to get 203 out of 7+(2+9x3)?” I quadruple-checked my answer.
Then I remembered why I had a 96% on my second-to-last test. On the test, my mind invented a negative symbol on an integer that I was subtracting from.
Mr. Teacher Person did not get 203 out of 7+(2+9x3). He got 203 out of 7(2+9x3).
My self-confidence is utterly destroyed.
I haven't taken high school math since the early '60s, but I came up with 210. I asked smarty-pants Siri and she came up with 203.
I would argue that the likely issue is not so much that the people do not understand PEMDAS, but that they are being careless with the less ideal symbolic representations.
The use of the obelus (÷) instead of the forward slash can cause people to make this careless mistake. I would find it interesting to survey a large number of people and present the problem in two (maybe three) forms to see if one form is more likely to cause an issue. I suspect that the obelus is more problematic and generally such a representation should be avoided if the intention is to avoid miscalculations.
Also, I am sure you know this but you did not convey it here; there is nothing wrong with processing M before D in this expression; but you need to know which are the correct operands to use. If the expression is represented with a horizontal bar with 18 above and 2 below followed by the multiplication with 3, I believe most people will avoid such a mistake and either operation may be performed. In other words: (18x3)/2 == (18/2)x3.
With a masters in Electrical Engineering and Firmware Engineer by profession, I deal with calculations/logical expressions regularly; to avoid mistakes we are liberal with our parenthesis. These expressions are known as bad practice (bad form). I am not sure if schools do this, but they should take the time to point this out. Especially, where there is a large demand for programmers, I see a lot that write code that is error prone.
The answer is 203
I like getting stars. I was so confused in math and I can see it isn’t such a mystery. 71 and not to old to learn.
Too old 🤣
I'm 75. Never ever took any higher math in HS. I got it right !!! Thank you John
LOL I'm 71 and got it wrong. I fell into the classic trap that John spoke about).
@@C.E.Thomas1952 I learned from a previous video not to screw this one up. Lol
@@C.E.Thomas1952Keep trying! I love that you’re working at it and challenging yourself! I bet you get it next time!!❤️
70 and I watched yesterday and I got.
PEMDAS-Work parentheses-divide, multiply, add and then multiply = 203
7(2+3(18÷2)) = 203 is a lot more logical, organized and clearly stated to me. Writing it in the original format is like writing english without using capitalization, commas or periods.
I got 35 with my attempt with PEMDAS.
Same. I thought you multiplied before dividing. I guess they are equal (M and D) and you go from left to right.
Me too. Maybe TCM is wrong?
Science and real mathematicians always do multiplication before division, AND they never use this notation because it is ambiguous. It will always be written 18 over a horizontal line with 2x3 below the 18. Usually therms like 2x3 will be in brackets, but not always.
I got 35 too and I'm standing by my answer!
@@davidloewen5528 obviously professionals would not write it this way. But this is an example of how to process it if it is constructed by someone who is sloppy. Also real scientist don’t do multiplication first unless they want the wrong answer. I’ll answer your question before you ask it. No I am not a scientist. But when working at Jet Propulsion Laboratories I was reminded of order of operations by a scientist after I had forgotten about what I learned in school about it. That was 59 years ago and it was an embarrassing situation which has helped me remember it over the years.
I loved Algebra in H.S. I taught the other students who did not understand. I had to retry a couple of times before getting right. I would go back to High School anytime. Thanks for explaining this. Students who do not understand, this will surely help them. Do more. I love what you do !
I loved thought problems
This is about a 4-second-do-it-in-your-head question. Boils down to 7x30-7=203.
Answer is 203, order is “/“ then “*”, then “+” # that’s left inside “()”, then “*“ # outside the “()” 😊
I worked it out as:
18÷2=9x3=27+2=29
7x29 = 203
I'm probably wrong but I was thinking
Brackets
Indices
Divide
Multiply
Add
Subtract
Wow I got it right!!
You are such a wonderful teacher! I’m 77 and have always been terrible at math, but I think I would have loved it if I’d have had a teacher like you! I actually learned from angry nuns and was terrified of making a mistake! The only time I enjoyed math was geometry…I could understand that for some reason.
Wonder what makes them so angry
It’s not math
It’s applied logic
How do you know when you would multiply the 7 throughout first? Is there ever a situation where you would solve the problem that way? I'm pretty sure the answer comes out the same either way.
This is a fair question. I tried it and did come up with the same answer of 203. This is the expression that distributing produced: 14 + 126 ÷ 14 × 21. The "cost" of this method is that you'll now either need a calculator or some good mental math prowess. What's 126 ÷ 14? What is that result times 21? Then you have to add the 14. Is it easier just to use order of operations on the original problem?
I'm English, 55 yrs old and was always taught BODMAS. (o for orders) , this way it tells you the correct order. Young people in the UK are now taught BEDMAS. (e for exponent). ,,, Equals same thing
Left to right, first order helps, same approach to
adding and subtraction! 35 is the outcome without the clarification.
I was at school many years ago and the teachers were nothing like you, I was hopeless at maths, it did get better at technical college where I could see the reason I was trying to calculate something.
I received good grades in school except for math. I've felt shame for years because it was fiercely difficult for me to understand . . . Like I'd come from another planet. Thank you for your great tutorials and offering tools that make sense. I swear I never heard of PEMDAS before. I became a subscriber today.
Sorry but I desagree... how do you solve the same equation if you got 7(2+18/2x3) but / as a long horizontal line ? (It is no possible for me to write like this here) You should first make the operación up the line 2+18, after the operation beneath the line 2x3, then divide the results and finally multiply by 7. If you want to get 203 as a result you should clarify adding ( ) to point what operation you want to be executed first. If you write an ambiguous question you will get an ambiguous answer. Greetings.
I didn't realize × and ÷ come first, so I worked left to right and got 210 - now I know!
I got 210 too
Me too.
I got it right once I figured out the order of operations in math which is (PEMDAS). Parentheses first, then exponents and then multiplication and division, whichever comes first from left to right and then addition and subtraction, whichever comes first from left to right. So, the answer is 203. I love math.... I love solving things!!!
35 is the answer😂 😂
I'm 65 and am proud to say that I got it right. A ⭐ for me.👏🏼💪🏼
I now know why I flunked math. Left to right and did not know to group MD and AS together. I got 35 doing this. Wish UA-cam existed 25 years ago.