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 RUclips 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.
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.
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 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.❤
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.
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.
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
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.
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.
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'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
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
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.
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.
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!
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!
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.
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.
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 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.
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"
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.
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.
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.
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. ❤
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.
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.
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.
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."
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.
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.
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 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!!!
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'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! 😏
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’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.
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.
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.
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.
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. 😊
I got this all wrong. I knew to work the parenthesis first, but worked it left to right, as is logical. I came up with 28. So far off from the correct answer. I never learned PEMDAS. Actually I don't remember what I learned or how I learned it. I loved equations because they just worked. I've been wanting to refresh on them for a while, since I got an equation completely wrong on a social media challenge. 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.
When I learned the order of operations in middle school, my teacher didn't use PEMDAS, he taught it as the 4 Ps. Parentheses, Powers, Product&Quotient (left to right), Plus&Minus (left to right). It might be a bit weaker as a mnemonic device, but since it included the grouping, it helped me to avoid the "taking PEMDAS literally" trap that some fall into. Mr. Heisman was an amazing math teacher.
@@elephantintheroom5678 Well actually they are all just general acronyms PEMDAS, PEDMAS, BODMAS, BEDMAS, BIDMAS, just teaching aids, all taught depending on where you grew up, all meaning the exact same thing which is to help remember "The Order of Operations" so being they are just general acronyms if you forget the underlying rules, the acronyms dont work. That is where the problems start, people just forget the underlying rules for the acronyms and then process the acronym literally letter for letter and come up with the wrong answer. Hope that helps :)
@@triXsolarflare I disagree entirely. Acronyms help me remember things, and it's a lot easier to remember "multiplication or division in the order they appear from left to right, " than that as well as the entire order of operations, without an acronym.
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.
74 here and I’ve forgotten all this. Your channel is better than playing games to keep my brain moving. Thank you. What if there are more than one same expression? 7(5+20/2*3/6)?
You still just follow the order of operations. PEDMAS. Parentheses, exponents, division/multiplication, addition/subtraction. You work left to right. Start inside your (). There are no exponents. Next do all multiplying and dividing left to right. 20/2=10. 10*3=30. 30/6=5. Now do addition and subtraction. (5+5)=10. Now move outside your parentheses. 7(10)=70. Hope this helps!
I got 203. I did use my calculator for 29×7. I have math learning disabilities and a calculator was actually part of my IEPs. But I remembered the steps.
I find it easier to do some rounding out, and then adjusting. So, in this case, I multiplied 7x30, which is easy to calculate as 210, then subtracted 7. I hope this helps.
@@pcoleman1971Thank you! I had no idea there were so many ways to work around disabilities. It was a totally different (and a little harsher) world when I was in 3rd grade. Thanks again!
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
The answer is 35 - using the 'old system' 2x3=6 18:6=3 2+3=5 7x5=35 The answer is 203 - with the system used, around the globe, nowadays 18:2=9 9x3=27 2+27=29 7x29=203 'Order of operations changed, slowly. First in the US ~1917, in the Netherlands ~1980' In the second half of the 20th century, many textbooks opted for the modern operation order that was the international rule, partly due to the influence of the programming languages of the 1960s and 1970s (Fortran, Algol, Pascal and C). The old mnemonic was sworn off.
I got it wrong the first time but got 203 on my second attempt. Math is simply about taking the correct steps, and I flunked math in both the 7th and 8th grade. 🥴
The problem here isn't the use of PEMDAS, it's that many were taught the APPLICATION of order of operations incorrectly. It"s, 1. Parentheses 2. Exponents 3. Multiplication and Division as they appear from left to right. 4. Addition and Subtraction as thhey appear from left to right. Thus PEMDAS is four steps P E MD AS not 6 That's it. That's all.
I'm pretty sure that I was not taught about PEMDAS in 1968. Completed Algebra 1 - 4 followed by Geometry 1 + 2 and Trigonometry 1. No calculators or slide rulers. Is my memory poor or was I taught PEMDAS under a different process? I loved high school math so many decades ago.
You might have been taught using a different acronym. PEMDAS isn’t the rule itself, that is Order of Operations. The acronym just helps you remember in which order you process the formula. People also use BODMAS and several others.
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.
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 61 years old and I always had rotten math teachers. They never pulled me aside when I started failing and try to pinpoint what I was doing wrong. I never finished college, but I took algebra and found out from a wonderful teacher all of the little tricks and shortcuts. By that time it was too late to do me any good!!! I think in high school teachers pick certain students to fail in order to have a balanced classroom of failures and successes!!! I guess I was chosen to be a failure.
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.
It's amazing you know on Facebook (I came off FB about 2 years ago) that when these questions came up, the amount of people who would argue with the Order of Operations and how they "were not taught that when they was at school" and how "it's all wrong and made up recently". Some of these people were so called teachers! One of the reasons I came off FB to be honest as I found myself involved in those arguments pointing people to links and references about OoO and how it stemmed back hundreds of years lol I do love watching these though even if it is just to check my ageing brain is still somewhat with it
even by mind calculation,you can solve it directly--- 2x3 is 6,then 18 diivided by 6 is equal to 3,theñ 2+3 is equal to 5,then 7x5 is equal to 35 which is the final answer using PEMDAS operation.
maxsloan I bought my son one of those shirts either before 6th or 7th grade, and his math teacher thought it was hilarious. Thankfully he got his math abilities from his dad and not me. I flew through algebra I, but the next year, I dropped Algebra II after the first semester because I was drowning. Totally night and day with 2 different teachers.
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.
@suerasley7237 good for you. My school district sucked. We didn't learn negative numbers like -1 × 3 = -3 until 7th grade. This stuff? 8th 9th grade at earliest
The problem with PEMDAS that I've recently encountered is that people forget that the MD are equal. The 20-somethings that look at this do PEMDAS in that exact order. So, 18/2*3 doesn't go left to right with multiplication and division being otherwise equal priority. Nope. M comes before D. Thus, 18/2*3 converts to 18/(2*3) = 3. Just as 18+2*3 would be 18+(2*3) because A comes after M, so does D. The acronym leads to faulty logic because the kids remember the acronym, its purpose, but forget the actual principles.
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 RUclips 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.
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
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.
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?
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 got it right the first time but I had to go back and remember those rules. GREAT class. U.S. Schools need YOU DESPERATELY 👏🏽👏🏽🙏🏽
Got it right because, following pemdas, I did 18/2=9 straight away then 7(2+27)
7(29) = 203
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.
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.❤
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
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'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
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
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.
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'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
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.
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
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.
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.
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
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
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.
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.
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.
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.
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.
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"
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.
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 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 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.
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.
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. ❤
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.
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.
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.
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.
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.
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.
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 am 79 and enjoying your math instruction. Pity you were not around as a teacher 67 years ago as my math teacher.
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 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 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!!
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.
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?
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! 😏
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
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.
This is the rule: Inside the bracket always go first. Multiplication/division is (equal weight and left first) must before addition/subtraction.
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
It has been a while since I’ve done this math. Your explanation was excellent. Figured it out as soon as you go to MD. Thanks
203 no matter by whom or where basic algebra was thought and learned ... multiplication/division takes priority to addition/reduction
I’m going with 210
In 2 min
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.
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 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.
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. 😊
I got this all wrong. I knew to work the parenthesis first, but worked it left to right, as is logical. I came up with 28. So far off from the correct answer. I never learned PEMDAS. Actually I don't remember what I learned or how I learned it. I loved equations because they just worked. I've been wanting to refresh on them for a while, since I got an equation completely wrong on a social media challenge. Thanks.
By following the principle of PEMDAS I get 203.
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
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 🤣
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.
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.
Thank you! I completely got this wrong because of the left to right order. Great explanation.
When I learned the order of operations in middle school, my teacher didn't use PEMDAS, he taught it as the 4 Ps. Parentheses, Powers, Product&Quotient (left to right), Plus&Minus (left to right). It might be a bit weaker as a mnemonic device, but since it included the grouping, it helped me to avoid the "taking PEMDAS literally" trap that some fall into. Mr. Heisman was an amazing math teacher.
Got it! My 13 schools all over the US blessed me with an excellent education, college as well!
Mine was the same
But PEMDAS and BODMAS do the same thing when taught right.
@@elephantintheroom5678 Well actually they are all just general acronyms PEMDAS, PEDMAS, BODMAS, BEDMAS, BIDMAS, just teaching aids, all taught depending on where you grew up, all meaning the exact same thing which is to help remember "The Order of Operations" so being they are just general acronyms if you forget the underlying rules, the acronyms dont work. That is where the problems start, people just forget the underlying rules for the acronyms and then process the acronym literally letter for letter and come up with the wrong answer. Hope that helps :)
@@triXsolarflare I disagree entirely. Acronyms help me remember things, and it's a lot easier to remember "multiplication or division in the order they appear from left to right, " than that as well as the entire order of operations, without an acronym.
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.
74 here and I’ve forgotten all this. Your channel is better than playing games to keep my brain moving. Thank you.
What if there are more than one same expression? 7(5+20/2*3/6)?
You still just follow the order of operations. PEDMAS. Parentheses, exponents, division/multiplication, addition/subtraction. You work left to right. Start inside your (). There are no exponents. Next do all multiplying and dividing left to right. 20/2=10. 10*3=30. 30/6=5. Now do addition and subtraction. (5+5)=10. Now move outside your parentheses. 7(10)=70. Hope this helps!
@@juliecranford534 Thank. Thought maybe but could not remember.
I got 203. I did use my calculator for 29×7. I have math learning disabilities and a calculator was actually part of my IEPs. But I remembered the steps.
I find it easier to do some rounding out, and then adjusting. So, in this case, I multiplied 7x30, which is easy to calculate as 210, then subtracted 7. I hope this helps.
@@pcoleman1971Thank you! I had no idea there were so many ways to work around disabilities. It was a totally different (and a little harsher) world when I was in 3rd grade. Thanks again!
Yeah I double checked using the calculator. I'm like I know it breaks down to 7x29. But I'm making shur.
I came back for a 2nd attempt at this, and while you haven't given the answer yet, my answer is 203 this time. I might be catching on finally!
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
Got 203, but I am getting old and slow and depend on calculators and spreadsheets to do math for me.
I love, love, love PEMDAS! So easily done in my head. Winner! Still, I know that in math, it’s best to work with your pencil! I like it both ways!
Thanks, I got it wrong but because of these lessons I have learned, the equal powers of division and multiplication was my mistake. I had 35
You're not alone.Then I realized that division = multiply by inverse (which helps me with remembering the grouping of MD).
The answer is 35 - using the 'old system'
2x3=6
18:6=3
2+3=5
7x5=35
The answer is 203 - with the system used, around the globe, nowadays
18:2=9
9x3=27
2+27=29
7x29=203
'Order of operations changed, slowly.
First in the US ~1917, in the Netherlands ~1980'
In the second half of the 20th century, many textbooks opted for the modern operation order that was the international rule,
partly due to the influence of the programming languages of the 1960s and 1970s (Fortran, Algol, Pascal and C).
The old mnemonic was sworn off.
U could’ve also used the distribution system: 7(2+27)=14+189, which is: 203.
I got it wrong the first time but got 203 on my second attempt. Math is simply about taking the correct steps, and I flunked math in both the 7th and 8th grade. 🥴
The problem here isn't the use of PEMDAS, it's that many were taught the APPLICATION of order of operations incorrectly. It"s,
1. Parentheses
2. Exponents
3. Multiplication and Division as they appear from left to right.
4. Addition and Subtraction as thhey appear from left to right.
Thus PEMDAS is four steps
P E MD AS not 6
That's it. That's all.
I'm pretty sure that I was not taught about PEMDAS in 1968. Completed Algebra 1 - 4 followed by Geometry 1 + 2 and Trigonometry 1. No calculators or slide rulers. Is my memory poor or was I taught PEMDAS under a different process? I loved high school math so many decades ago.
You might have been taught using a different acronym. PEMDAS isn’t the rule itself, that is Order of Operations. The acronym just helps you remember in which order you process the formula. People also use BODMAS and several others.
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!
203 I only used a calculator to find out what 29×7 was
You could think of it as 30x7=210 and then subtract 7.
7 times 20 is 140, 7 times 9 is 63 . 120 plus 63 is 203.
210😢
Thanks!
Great explanation.
I learned A LOT!!!
Never learned this 55+ years ago.
I got it right for once. 🙌. Only because of your previous videos though. Thanks for taking the time to teach us.
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 61 years old and I always had rotten math teachers. They never pulled me aside when I started failing and try to pinpoint what I was doing wrong. I never finished college, but I took algebra and found out from a wonderful teacher all of the little tricks and shortcuts. By that time it was too late to do me any good!!! I think in high school teachers pick certain students to fail in order to have a balanced classroom of failures and successes!!! I guess I was chosen to be a failure.
That's all in the past. Good for you being here to better your math knowledge.
We had BODMAS! Brackets, Of,Divide, Multiply, Add and Subract.
Got 203. No one is more surprised than I am. : )
203!
So true! @757optim.. you are hilarious!!😂
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
It's amazing you know on Facebook (I came off FB about 2 years ago) that when these questions came up, the amount of people who would argue with the Order of Operations and how they "were not taught that when they was at school" and how "it's all wrong and made up recently". Some of these people were so called teachers! One of the reasons I came off FB to be honest as I found myself involved in those arguments pointing people to links and references about OoO and how it stemmed back hundreds of years lol
I do love watching these though even if it is just to check my ageing brain is still somewhat with it
PEMDAS is the way to go. Answer is 203.
Me too, just too lazy to figure it myself. Got the order right.
Yey, definitely understanding PEMDAS🎉
even by mind calculation,you can solve it directly--- 2x3 is 6,then 18 diivided by 6 is equal to 3,theñ 2+3 is equal to 5,then 7x5 is equal to 35 which is the final answer using PEMDAS operation.
Simple math. I got it right in under a minute..😅
Where you answer then
5/4 of Americans admit they have trouble with fractions.
lmao
😂
That makes sense. I'm assuming we're including Puerto Rico and the Virgin Islands.
😂
maxsloan I bought my son one of those shirts either before 6th or 7th grade, and his math teacher thought it was hilarious. Thankfully he got his math abilities from his dad and not me. I flew through algebra I, but the next year, I dropped Algebra II after the first semester because I was drowning. Totally night and day with 2 different teachers.
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.
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
why couldn't my HS math teachers explain math like this?
@Linjau maybe in 2023 but not when I was in 5th grade in 1990
@@bluejedi723 I learned this in 5th grade 1966.
@suerasley7237 good for you. My school district sucked. We didn't learn negative numbers like -1 × 3 = -3 until 7th grade. This stuff? 8th 9th grade at earliest
If you follow the rule PEMDAS it’s easier and fun to do
The problem with PEMDAS that I've recently encountered is that people forget that the MD are equal. The 20-somethings that look at this do PEMDAS in that exact order. So, 18/2*3 doesn't go left to right with multiplication and division being otherwise equal priority. Nope. M comes before D. Thus, 18/2*3 converts to 18/(2*3) = 3.
Just as 18+2*3 would be 18+(2*3) because A comes after M, so does D. The acronym leads to faulty logic because the kids remember the acronym, its purpose, but forget the actual principles.
No time in my grown up life have I ever had to deal with math like this.
Solve what's inside the brackets first. [(2 + 18 ÷ 2 × 3) = 2 + 9 × 3 = 2 + 27 = 29 ] 7(29) = 203