PEMDAS is not wrong, it is just often poorly explained. Where either 'P' for parenthesis or 'B' for brackets are first; from left to right or working the inner most P/B first, then Exponents; left to right, then M/D; where 'M' comes first if it is required or 'D' if there is no 'M' function, then the same for 'A/S'; where Adding comes first before subtraction, unless there is no addition component. At least, that's how I learned it.
7:55 the multiplication by juxtaposition rule would take priority over PEMDAS. The 2(3) should be resolved first, and then you would have 6/6, which would be 1.
6 halves of the quantity (1+2) is indeed 9. In keeping with all other formulas with fractional coefficients. However, 6÷2(2+1) fails dimensional analysis unless the parenthetical expression 2(2+1) is fully resolved prior to the division. 6kwh÷2h(1kw+2kw)= 6kwh÷6kwh=1 cycle. The results of doing it otherwise are in units of square kilowatts, and spurious units indicate spurious results. Implicit notation includes the implicit grouping relationship of all of the factors and coefficients involved in the implicitly joined expressions. This is true of ALL engineering and scientific formulas. Especially those with fractional coefficients. Also Distance divided by circumference is revolutions. So D÷2πr=D÷(2πr)= D÷(πd)=revolutions But D/2πr would be interpreted as (D/2)πr, or (D/π)d neither of which will return revolutions, but instead differing results in units of area. Neither of which is correct.
@Vibe77Guy is quite correct, but not that PEMDAS is incorrect. PEMDAS is intended for simple math (what I call checkbook math, where all the units are the same). Mathematics is intended to convey a concept properly. Vibe77Guy's answer is based on the principle of consistency of units (addition or subtraction of variables must be with identical units) where his answer of 1 is indeed correct for the units he applied. I can make a case for the answer being x/(2(y+z)) or using the long bar method for specifically calling out the explicit numerator and the explicit denominator! The point is the resultant numerical answer must be designed by the author to be correct regardless of who calculates the answer and as well as the units! The presentation of the original problem is ambiguous unless the rigorous application of PEMDAS is intended which then results in the answer of 9. Both answers, 1 and 9, are correct depending on how the expression is interpreted. This highlights the need for clear communication in mathematical notation, especially in fields like engineering, where units and precise calculations are critical. For rigorous mathematical expressions, it’s essential to use parentheses to eliminate ambiguity and ensure consistency across interpretations. 7:47
@michaelkelly3239 There is a Neutral Element property of multiplication issue with your notation. x÷2(x+y)≡x÷[2(x+y)]≡x÷1[2(x+y)] Whereas x/2(x+y)≠x/[2(x+y)]≠×/1[2(x+y)] Likewise 4/3πr³≠4÷3πr³ 4/3πr³≡(4/3)(πr³) 4÷3πr³≡4÷(3πr³) And D÷2πr≠D/2πr D÷2πr≡D÷(2πr) D/2πr≡(D/2)(πr) Only 1 is correct. 9 can never be.
I must say again, this helped me to really understand exactly how to do the problems the correct way. I didn't have a clue, also I watch it over and over again to make sure it sticks in my head!! Thanks a million and a million again and again!!!
This video took my moment of tears to a moment of shear joy!!! I homeschool my son and we have been having an awful time for weeks with this. THANK YOU, THANK YOU!!!!!!!
Your videos always helped me. I'm using them for college exam review. You'd definitely be one of the people i owe big time. You are a life saver. Thank you
the way you broke it down, now has me feeling like a genius. I can't think your channel enough. and whom ever doesn't tune in us truly missing out. I'm the kind of guy who hates math but the way you teach makes it fun to learn.
i was taught B rackts E xponents D ivision M ultiplacation A ddtion S ubtraction S implfy and multiplication and division aswell as addition and subtraction are left to right or which ever comes first
I get rid of the division by turning it into multiplication by a fraction, so I don't have to go left to right; I get the right answer no matter what order I multiply the numbers in. Likewise, I get rid of the subtraction by adding a negative number, so I can add the numbers in any order.
I just found your math videos today and I have subscribed because your style helps me and makes sense to me. I started college last summer and this math class is kicking my ass mainly since I was homeschooled as a kid. The emphasis by my mother was on words and not on numbers or math so I have been at this odd disadvantage. Thank you for making these videos. I will be watching more of them to help me to pass this bleeping math course. :D Oh and thank you for the Red Boxes! I started boxing my answers when I would test or correct answers so that I could rework problems and I found it really heart warming that you use boxes too! *BIG HUGS* But most of all thank you for the introduction because I do feel as if other people will think me stupid if I can't do the math or have problems, and that idea does keep me from getting help or asking for help. I just don't think with numbers I think in words lots of words and the better things are explained verbally or in writing the better I retain and deal with it. I am sure to other people it sounds odd. But all that fear I have of being dis'd for not being smart in math does is keep me from getting help and learning anything. So thank you so much for being respectful of that.
Darsana Bloodmourn me, too! Back when I was in HS, the State of Nevada didn't require algebra. because math comes naturally hard for me, I did general math for 4 years. I now am working towards a BA in both SpEd and Elementary Ed. However, I've been soooo lost! I watched this tonight and it's easy peasy!
OMG!!! I adore your teaching style. I am 56 years old. I now feel like I have discovered FIRE!!! Thank you from the bottom of my heart for ALL these "Correct" teachings.
This video is money! I always thought that the whole "PEMDAS" thing was clunky because, visually, it implies that you focus on the order of the acronym versus actually focusing on the order in which actually take place in a given expression. I always like to think of the order of operations in terms of levels; I can't get to the addition/subtraction level until I've completed the parenthesis level, exponent level, and multiplication/division level. And within each level, the operations always occur, as you have pointed out, from left to right. Anyways, I thought the video was solid and very helpful.
I have just went back to school at 53 years of age. I am now being taught PEMDAS. Math is my weakness, and when I would get the answer wrong, I could not understand and went over it and over it again. I wanted to sit and cry! But HELL no! I just kept on going, confused and dazed at what seemed like a never ending cycle of never being able to understand math. I could not ask for help, because, I always end up feeling quite stupid. So I search and there you are! Thank you so much for showing us this! My heart is less heavy!
Ummmm.....Where have you been all my life! Because of your teaching style, I'm now able to work math problems with ease. My husband was a math tutor in college and he said I was the worst student he has ever tried to tutor! ;( Truly, if I had not come across your videos, I would not be able to make it through college math. Now I can move forward with confidence that I will be successful in math and in my career. I'm in awe of how you take so many seemingly complicated math processes and condense them down so that you can see the whole picture instead of being distracted with so many needless steps that cause confusion and distraction. Thanks so very much for using your gift to help others.
I'm extremely honored to be able to assist you and I'll do my best to continue offering videos for the online community! Thanks so much for your testimony and feedback!
That's correct! The opposite of three squared is -3² because the exponent only applies to the element directly to the left of it. To square -3, you must include the negative sign within the parentheses for the negative sign to be included in the process of squaring. Therefore, negative three squared is written as (-3)² as we are squaring both the negative sign and the number 3, not finding the opposite value of 3². Hope this helps and thanks for the comments!
These videos are very helpful and the instructor has a great attitude. I just started a semester in college after not attending for 10 years so the videos serve as a good refresher for me. This subscription is good for learning as well.
Mr. Whitt, your method of operations is soooo less confusing and makes perfect sense! I have been struggling in Math and am now going to check out ALL your videos, thank you, thank you very much!
Hello Judy! I'm glad this method worked best for you! Good luck in your math endeavors and I hope my other videos are just as helpful to you! Mr. Whitt
Exactly! We've seen and heard a lot over the years as well. It's amazing how many educators, textbook authors and the thousands of students they affect have been misinformed! Thanks for your testimony!
Almost thought you were going to do 6 ÷ 2(1+2) correctly, but you got it wrong. You didn't apply distributive property on this one. You correctly did it in another problem but not on this one. If you do apply distributive property, then you will get 6/6 which is 1. Think about it. That 2 was factored out of the brackets. So 2 belongs within the brackets. Properly applying distributive property would result in 6÷(2*1+2*2) or 6÷(2*3). Beauty of math is, if you correctly apply rules, you will get the same result regardless of which part you solve first.
You must know that this is the first concept I address when I teach this subject. What I have also found helpful is to have students write of this acronym exchanging the M and D and the A and S and creating their own for fun so they don't take it so literal. They always appreciate this.
And i realize that he has a personality that makes me want to watch the whole video which I wouldn't do if it was another person. Thank you Fort Bend Tutoring
OMG!!! I've tried so hard to understand how to do these problems. I think I finally understand. You go through it step by step and actually show us how to solve the problem! THANK YOU SOOO MUCH!!!!!
Thank your Mr. Fort for just being humble enough to indicate these problem we have in math, and just doin it for free without payi just know you're a man of God, Thank you very much appreciated.
Great Presentation. I finally understand the "order of operations". Its a lot easier that what I learned many years ago. Now on to positive and negative number signs. Thank You.
Dear Fort Bend tutoring, just for discussion: The parentheses represent a group with numbers as it is here but it also can contain variables with mixed operations. In the subject expression, the group has two numbers to be added but acted upon by an outside operation as it is here by the FACTOR of 2. Some see the parens as not being fully resolved until that operation is complete. Some think that the result is a value in and of itself and the group would not be satisfied (arrived at the true value) by removing the factor. This is true when DISTRIBUTING the factor across the group. e.g. One would arrive at a totally different answer if one were to distribute the values as in 6:- 4+2 (six divided by four plus two) then using PEMDAS would give us an answer of 3.5 I hope you are not suggesting that distribution cannot take place before the division operation. So simply using that primary school mnemonic is a generalization that fails in this case. It may be ok for simple math but not for more complex expressions.
Thank you so much! I am a science teacher who has moved up to the high school level and wanted to brush up on some of the easily misunderstood math concepts. In the elementary schools they are introducing Order of Operations with PEDMAS, and kids are floundering when they get to high school. You taught this EXACTLY like my favorite math teacher ever - Mr. Bell from Haughton, LA! Your voice even sounds like his!!!
Your still missing the important distinction that multiplication does not come before division but you do whichever one comes first from left to right. Reading "MD" makes it look like Multiplication before Division as a rule.
@@EyeIn_The_Sky I'm not missing the point. I know that you do whichever one comes first. If i thought multiplication came before division I would've put the D under the M, but as you can see they're next to each other. Same with A and S.
Thank God I found your video! Earlier today, I was watching some tutoring to refresh my math skills. The videos were from Al Valencia and some students who worked out some problems! One problem, which I thought was going to be very simple, actually turned out to be troublesome because they were teaching "PEMDAS" yet did not really apply it and did not explain WHY! 19+10x7/7x3-18. It is quite troubling to know that many students are still taught incorrectly. It was finally made very clear in the first problem you worked on! Thank you so much! You are an excellent instructor!
maleah brown The first problem I show the correct and wrong way to do these types of problems. Doing all order of operations problems the way I suggest throughout the remainder of this video, will give you the correct answer every time.
+John Haugland You should have used * instead of () YA!!!! *claps loudly* PEDMAS is wrong PEMDAS IS RIGHT *whistles and claps loudly* It looks a lot better you write it like this: YA!!!! **claps loudly** PEDMAS is wrong PEMDAS IS RIGHT **whistles and claps loudly**
Fort Bend Tutoring maybe you can clear something up for me. I understand the order of operations but what I don't get is why, in the expression you showed, 6/2(1+2), the distributive property doesn't apply. If I where to plug in a variable for the first 2, as in 6/y(1+2) would that not equal 6/(y+2y) ? This whole thing has got me confused
I learnt arithmetic ,algebra,calculus ,differential equations,even some quantum mechanics . Arithmetic was the only branch that used the obelus divison symbol. The use of the horizonal bar forced the writer to clearly state the next series of operations and if not clearly to use parentheses . Mathematical expressions should be written in such a way that one understands or arrives at the same result or conclusion whether one reads it forwards or backwards .
unoriginal username here G stands for groupings which means brackets (I could of spelled that wrong) and braces also perenthencies (I could of spelled that wrong as well.)
Showing the solving of problems by the correct order of operations, one after another after another, etc., is the best way to build cranial muscle memory. Your method is best I've seen so far. 🙂🙂🙂🙂
I always knew PEMDAS was wrong, kept writing "PEMDAS IS STUPID" on my notebook when my teacher taught it. I've always preferred to go left to right rather than a stupid rule that complicates things, schools should not teach PEMDAS anymore!
YES!!! That is what I was taught in school. They told us to use Please Excuse My dear Aunt Sally and they NEVER told us we choose the one (M,D or D,M) comes first, LEFT to RIGHT. They emphasized the ditty more than the actual application of the order of operation agreement.
This was absolutely AWESOME!!! I've been a Math "coward" for many years and always avoided going back to school for the fear of having to do Algebra. I've never grasp the basic "formula" for algebra... and for lack of better words it's always scared the hell out of me. I certainly appreciate the "ease" of your instructions!!! THANK YOU!!!
I'm so happy I discovered this site. Many examples for each subject allows for perfection. Where have you been all my life? I'm a Middle School math teacher. Seeing the same problems taught in various ways, allows students to have choices in solving their problems. ST
I was always taught this way and I have never been confused about it because it is really easy, but alot of people tend forget to do steps 3 & 4 from LEFT TO RIGHT. PEMDAS in 4 Simple Steps Step 1) Do the parentheses (brackets). Step 2) Do any exponents. Step 3) Do any Multiplication OR Division LEFT to RIGHT Step 4) Do any Addition OR Subtraction LEFT to RIGHT
Left to right is not important since the commutative rule tells us the order is not important. it's a convention but not a rule. You have two rules, left to right rule and the juxtaposition rule where the distributive rule is an outcome of juxtaposition. So it comes down to which rule do you follow. The whole thing is moot since no math teacher would set up a problem like this. Operations are to clarify--not confuse.
Thank you SO MUCH for this video. I struggle with math as a college student. In all other areas I am able to get A's and B's but my major includes a ton of math and I have been terrified for this coming semester due to this. You have no idea how you have helped my mind to finally click with what has been one of the most difficult concepts for me thus far. Please continue making your videos because you truly are an amazing teacher.
Thanks KitCatNat (I LOVE your name - say it over and over again really fast, it's fun)! I'll do my best! I really appreciate you watching and your kind words!
I learned this in a french school in Canada, and we were taught: PEDMAS | | V V 1 2 3 4 and my teacher also showed us all the possible combinations so we wouldn't get confused
Thank You, Thank You, Thank You. I am studying for a math placement exam and couldn't figure out What I was doing wrong on the review. This video helped address 5 math issues that I couldn't figure out before. This is how Everyone should be taught order of opps.
I just want to say THANK YOU! I am currently trying to go back to college after an 8year break, I've forgotten a lot of math, much of which i was fuzzy on in the first place. This video has been so helpful! THANK YOU THANK YOU THANK YOU!
If you're writing by hand, I'd always recommend using a fraction bar instead of the division symbol. It works as a grouping notation, so it eliminates a lot of ambiguity.
For 6 / 2(2+1)I would come up with the answer on 1. I'd only get 9 if you used a long bar and put (2+1) above it or used the % and X symbol instead of the fractional/rational operator and the implicit multiplication. A lot of times 2(2x+1) is used to simplify the expression (4x+2) . It would be weird but allowable notation to start the problem 6/(4x+2) is equal to 6/2(2x+1) is equal to 3(2x+1) is equal to 6x+3. If you plug in the values say 2 and 5 for x you get 6/10= 15 and 6/22 = 33 respectively which is obviously false. Therefore it is reasonable to assume a multiplication in the form of x(some-expression) is implicity grouped as if a set of parenthesis is around the whole problem like (x(some-expression)), but it's left off just because it's a lot more readable. Anyone familiar with higher-level maths is going to read in an extra set of parenthesis out of habit,
You're correct in that the parentheses have a big role 2 play. However, 6/2(2+1) even without a "long bar" would still be 9. The substitution you used is also incorrect. Using your example, the equivalent expression is 3/(2x+1). Due to the fact that your original problem included (4x+2) in the denominator, factoring out 2 and simplifying the expression does not allow you to remove the remaining factor from the denominator. Thanks 4 sharing!
@@FortBendTutoring You're wrong, and PEMDAS is still wrong. There's a thing called multiplication by juxtaposition which takes precedence over multiplication and division. The correct answer for 6/2(2+1) is 1 The only way to get 9 is by writing 6/2*(2+1) If you want a full explanation, watch this video th-cam.com/video/lLCDca6dYpA/w-d-xo.html
I found this very helpful. I was not a very good math student and now I'm working with kids doing math I was never strong in. This gave me some confidence and clarified my thinking. Thank you
This video reeeeeally helped me understand what was wrong with they way I was attempting to do my order of operations problems. I have been out of high school for many years and I am reentering college with a field of study that will require college math....after ALL THESE YEARS. I'm preparing for the PERT Test. I did well on the whole review EXCEPT the order of operations. Now I'm much more confident.
Under "PARENTHESES", you could have also put down HORIZONTAL FRACTION BAR. This is because a horizontal fraction bar, in addition to meaning division, acts as a grouping symbol of a kind, separating everything on TOP from everything on the BOTTOM, and then telling you to do the division of the top by the bottom LAST.
.. really nice comment. and that's exactly why examples at 8:00 are wrong. -- multiplication by juxtaposition (by leaving out the multiplication sign) _also_ should be treated as grouping.
@raitisnugumanovs1693 My comment concerned HORIZONTAL fraction bars, NOT division signs or slashes. Therefore, whether the examples you point to are correct or incorrect has nothing to do with my comment. Now, as to whether multiplication by juxtaposition has higher priority that explicitly written down multiplication and division signs, that is nebulous. It is something upon which there is no universal agreement. If it were as you say, then it should clearly appear in basic arithmetic and algebra textbooks where Order Of Operations is listed, but it usually does not. The best policy is just to use grouping symbols when you think there may be ambiguity.
Thank You! So many get this wrong. Left to right convention is much clearer...yet, you'll get some people telling you that is incorrect. Everybody needs to be on the same page. Unfortunately, they're not.
I really enjoy how these problems were broke down to help you understand, being that math is not my best subject. But this process the order of operatiion really made it easier for me to understand, Thank you.
Your videos are the bomb!!! I understand PEMDAS clearly now. As a non-traditional student returning to school I'll not fear math any more because I can always look you up to get the hook up! Thanks.
Great video. I was just talking with someone about this today. I never thought the Dear Aunt Sally song was helpful, so I ignored it ompletely, but I always found PEMDAS to be a helpful mnemonic. I did have the issue at first of thinking of it as P-E-M-D-A-S instead of P-E-M/D-A/S, but even after having to break myself of that bad habit I still found the acronym useful. I think that teaching a mnemonic is OK as long as it is heavily stressed simultaneously that M/D and A/S have the same priority. Students who don't need the mnemonic will ignore it (like I did Aunt Sally) and students who do need it will be happy they have it. I had a teacher once who wrote it vertically on the whiteboard, and placed MD and AS on the same line respectively. I thought it was a pretty intuitive way of representing the correct order while still presenting the mnemonic.
That actually made sense to me. I'm 51 and always sucked at math! I have to take an exam to get into a medical assistant program and it seemed daunting, but now it's not. Thank you!
People, this video is wrong. This is not how algebra is done, not how scientists do math, and not how engineers evaluate such expressions. Furthermore, it is not how textbooks do it.
Sure, our response is it depends on the author of the question. Both ways are mathematically correct, so it doesn't matter whether you simplify using the order or you're "forced" to simplify in a specific order based on parentheses, brackets or braces. Thanks for your input.
Agreed. However, the focus of this video was suggesting a strategy to the masses regardless of age or learning styles. When teaching to specific subsets, a teacher has the opportunity to tweak his/her lesson to accommodate their students. Our issue is that a strategy that may help a few has become the main strategy attempted in many classrooms across our nation and others. We've had the benefit of witnessing the long-term disadvantages of straying from the order to push the tool. Great response!
Thank you so much for these great videos! I'm preparing for my G.E.D Test and math so dam profound of a subject... It's the hardest part of the G.E.D! I'm glad I'm learning from the right mentor.
I was just randomly browsing your (EXCELLENT) channel looking for material to improve some of the weak points in my foundation, I think working on my fundamentals will obviously be very important as I move forward. I just wanna say I NEVER knew this about PEMDAS lol I'm just shocked that this didn't cross my radar all these years? Wth? In any case awesome videos man.
Fort Bend Tutoring First thank you very much for this, I've been doing it wrong for so many years. Second what device are you using to draw on? I could definitely use one for my own tutoring.
I had an excellent teacher in College, and your teaching takes me back to that one class I never wanted to miss. Thank you sir, you've successfully utilized and chosen your words wisely which are very descriptive and revealing to the secrets of successfully using the order of operations. Excellent video, :)
I WAS TAUGHT CORRECTLY!!! Thanks for verifying that! Oh and I love your channel! Math is NOT my thing...... I have to study up for a big Teaching License Exam and these videos help A LOT! :D
My math teachers in British Columbia taught it as BED/MA/S spending time on the grouping (or as you put it equal weight) of Division/Multiplication and Addition/Subtraction.
Hey Heidi! PEMDAS is just a tool used by many educators to teach students the order of operations. PEMDAS, the mnemonic, is not the order of operations. It is this confusion between the two that has some teachers and students learning the order incorrectly.
Hello LotusMkV! Thanks for your comments. Since this video is intended as a foundational video, I'm focusing on the principal root of 16. My knowledge of the subject is displayed in my video, "Solving Quadratic Equations: The Square Root Property" as I point out the negative root you refer to. -3² is -9. It means -1⋅3² which is -9 and it's word name is the opposite of three squared. I'm informing students & teachers of the exact science of mathematics. Don't assume parentheses just what you see.
I just had my 9th grader to use PEMDAS and sure enough she calculated wrong. My 7th grader did the same mistake..... figures now they don’t press the issue in school on left to right or catch the mistake to corrected and they keep on going by what they hear most which is PEMDAS! Great video!
thanks really helpful never thought about that by the way what app did you get to get that screen when you do your videos or is it already installed in the ipad
This is a great tutorial. I teach 5th grade Mathematics and by far this web series is the best in the business. Love, love, love! I am sharing this with ALL the teachers in my district. It's just that GOOD! :)
Thanks 4 the love!!! By all means, PLEASE SHARE our channel with your students and coworkers! If you're able, please send us a picture of your class watching/using our videos!
![😈PEMDAS is Wrong! - The True Order of Operations: Part 2 [fbt]👿](http://i.ytimg.com/vi/jjclIjimKsw/mqdefault.jpg)
![😈PEMDAS is Wrong! - The True Order of Operations: Part 2 [fbt]👿](/img/tr.png)
![Subtracting Integers [fbt]](http://i.ytimg.com/vi/ztK9TeoLaJc/mqdefault.jpg)
![Factoring Quadratic Trinomials: Part 1 [fbt]](http://i.ytimg.com/vi/q6_pWifXKcQ/mqdefault.jpg)
Here's some helpful timestamps 4 this [fbt] math video!
[fbt] Video Timestamps
02:50 [W] 8 ÷ 4 × 2 + 15
07:20 [f] 6 / 2(2 + 1)
09:08 [1] 36 ÷ 9 ● 2 - 3 + 5
10:54 [2] 3(5 + 1) + 20 ÷ 4
12:16 [3] 2[3(8 - 2²) - 6]
14:15 [4] [(7 - 3)² - 4]² / (9 - 16 ÷ 8 - 4)
16:40 [5] (-6 - 3)|-2 - 3| ÷ 9
18:35 [6] [(-9 + √(16))(-3²)] / (-4 - 1)
Peace,
Mr. Whitt
Thank you for this video I needed to refresh my mind with the basics. I was using Bodmas and i didn't know where i went wrong
Happy 2 help! 😁👨🏾🏫
PEMDAS is not wrong, it is just often poorly explained. Where either 'P' for parenthesis or 'B' for brackets are first; from left to right or working the inner most P/B first, then Exponents; left to right, then M/D; where 'M' comes first if it is required or 'D' if there is no 'M' function, then the same for 'A/S'; where Adding comes first before subtraction, unless there is no addition component. At least, that's how I learned it.
Hello Hydden! The truth of its inconsistency in education is the main reason my statement holds. Thanks 4 sharing! 👨🏾🏫😁
@@FortBendTutoring Well, the truth is, I am still learning and struggling a bit in certain areas, I won't argue with you. ; )
7:55 the multiplication by juxtaposition rule would take priority over PEMDAS. The 2(3) should be resolved first, and then you would have 6/6, which would be 1.
6 halves of the quantity (1+2) is indeed 9. In keeping with all other formulas with fractional coefficients.
However, 6÷2(2+1) fails dimensional analysis unless the parenthetical expression 2(2+1) is fully resolved prior to the division.
6kwh÷2h(1kw+2kw)=
6kwh÷6kwh=1 cycle.
The results of doing it otherwise are in units of square kilowatts, and spurious units indicate spurious results.
Implicit notation includes the implicit grouping relationship of all of the factors and coefficients involved in the implicitly joined expressions.
This is true of ALL engineering and scientific formulas. Especially those with fractional coefficients.
Also Distance divided by circumference is revolutions.
So D÷2πr=D÷(2πr)=
D÷(πd)=revolutions
But D/2πr would be interpreted as (D/2)πr, or (D/π)d neither of which will return revolutions, but instead differing results in units of area. Neither of which is correct.
@Vibe77Guy 😳 Thanks 4 sharing!
@Vibe77Guy is quite correct, but not that PEMDAS is incorrect. PEMDAS is intended for simple math (what I call checkbook math, where all the units are the same). Mathematics is intended to convey a concept properly.
Vibe77Guy's answer is based on the principle of consistency of units (addition or subtraction of variables must be with identical units) where his answer of 1 is indeed correct for the units he applied. I can make a case for the answer being x/(2(y+z)) or using the long bar method for specifically calling out the explicit numerator and the explicit denominator!
The point is the resultant numerical answer must be designed by the author to be correct regardless of who calculates the answer and as well as the units! The presentation of the original problem is ambiguous unless the rigorous application of PEMDAS is intended which then results in the answer of 9.
Both answers, 1 and 9, are correct depending on how the expression is interpreted. This highlights the need for clear communication in mathematical notation, especially in fields like engineering, where units and precise calculations are critical. For rigorous mathematical expressions, it’s essential to use parentheses to eliminate ambiguity and ensure consistency across interpretations. 7:47
@michaelkelly3239
There is a Neutral Element property of multiplication issue with your notation.
x÷2(x+y)≡x÷[2(x+y)]≡x÷1[2(x+y)]
Whereas
x/2(x+y)≠x/[2(x+y)]≠×/1[2(x+y)]
Likewise
4/3πr³≠4÷3πr³
4/3πr³≡(4/3)(πr³)
4÷3πr³≡4÷(3πr³)
And
D÷2πr≠D/2πr
D÷2πr≡D÷(2πr)
D/2πr≡(D/2)(πr)
Only 1 is correct. 9 can never be.
I must say again, this helped me to really understand exactly how to do the problems the correct way. I didn't have a clue, also I watch it over and over again to make sure it sticks in my head!! Thanks a million and a million again and again!!!
You're welcome 3 million Lorna! Thanks 4 your feedback! I'm happy 2 help! :-)
This video took my moment of tears to a moment of shear joy!!! I homeschool my son and we have been having an awful time for weeks with this. THANK YOU, THANK YOU!!!!!!!
You're very welcome! Thanks 4 watching!
mabye you shouldnt homeschool lol
You're welcome! Glad to help and feel free to spread the word!
Your videos always helped me. I'm using them for college exam review. You'd definitely be one of the people i owe big time. You are a life saver. Thank you
the way you broke it down, now has me feeling like a genius. I can't think your channel enough. and whom ever doesn't tune in us truly missing out. I'm the kind of guy who hates math but the way you teach makes it fun to learn.
You're 2 kind Travis! We're happy 2 help!
i was taught
B rackts
E xponents
D ivision
M ultiplacation
A ddtion
S ubtraction
S implfy
and multiplication and division aswell as addition and subtraction are left to right or which ever comes first
I get rid of the division by turning it into multiplication by a fraction, so I don't have to go left to right; I get the right answer no matter what order I multiply the numbers in. Likewise, I get rid of the subtraction by adding a negative number, so I can add the numbers in any order.
I just found your math videos today and I have subscribed because your style helps me and makes sense to me. I started college last summer and this math class is kicking my ass mainly since I was homeschooled as a kid. The emphasis by my mother was on words and not on numbers or math so I have been at this odd disadvantage. Thank you for making these videos. I will be watching more of them to help me to pass this bleeping math course. :D
Oh and thank you for the Red Boxes! I started boxing my answers when I would test or correct answers so that I could rework problems and I found it really heart warming that you use boxes too! *BIG HUGS*
But most of all thank you for the introduction because I do feel as if other people will think me stupid if I can't do the math or have problems, and that idea does keep me from getting help or asking for help.
I just don't think with numbers I think in words lots of words and the better things are explained verbally or in writing the better I retain and deal with it. I am sure to other people it sounds odd. But all that fear I have of being dis'd for not being smart in math does is keep me from getting help and learning anything. So thank you so much for being respectful of that.
Darsana Bloodmourn me, too! Back when I was in HS, the State of Nevada didn't require algebra. because math comes naturally hard for me, I did general math for 4 years. I now am working towards a BA in both SpEd and Elementary Ed. However, I've been soooo lost! I watched this tonight and it's easy peasy!
OMG!!! I adore your teaching style. I am 56 years old. I now feel like I have discovered FIRE!!! Thank you from the bottom of my heart for ALL these "Correct" teachings.
+Lori D Happy 2 help Lori! Thanks 4 the kind words and your patronage! 😀
This channel made me love math. This was always my to go to channel when returned to college 4 years ago and it was really a huge part in my success!
Great!
@@cheriamour2429 4 years later and I’m a computer programmer🤦🏾♂️
So very helpful. I have found all of your videos are very helpful. Thank you so much! The way you explain it makes it so much easier to understand.
This video is money! I always thought that the whole "PEMDAS" thing was clunky because, visually, it implies that you focus on the order of the acronym versus actually focusing on the order in which actually take place in a given expression. I always like to think of the order of operations in terms of levels; I can't get to the addition/subtraction level until I've completed the parenthesis level, exponent level, and multiplication/division level. And within each level, the operations always occur, as you have pointed out, from left to right. Anyways, I thought the video was solid and very helpful.
Thanks 4 the informative feedback Michael! I really appreciate it!
I always describe it as a stair case that starts in the the lower left and works it way up the the solution from the starting equation
hihihih
hi
Hi Raymond!
I have just went back to school at 53 years of age. I am now being taught PEMDAS. Math is my weakness, and when I would get the answer wrong, I could not understand and went over it and over it again. I wanted to sit and cry! But HELL no! I just kept on going, confused and dazed at what seemed like a never ending cycle of never being able to understand math. I could not ask for help, because, I always end up feeling quite stupid. So I search and there you are! Thank you so much for showing us this! My heart is less heavy!
Happy I could help! Thanks for your testimony!
Ummmm.....Where have you been all my life! Because of your teaching style, I'm now able to work math problems with ease. My husband was a math tutor in college and he said I was the worst student he has ever tried to tutor! ;( Truly, if I had not come across your videos, I would not be able to make it through college math. Now I can move forward with confidence that I will be successful in math and in my career. I'm in awe of how you take so many seemingly complicated math processes and condense them down so that you can see the whole picture instead of being distracted with so many needless steps that cause confusion and distraction. Thanks so very much for using your gift to help others.
I'm extremely honored to be able to assist you and I'll do my best to continue offering videos for the online community! Thanks so much for your testimony and feedback!
You're welcome! You're awesome!!! I truly can't thank you enough.
Oh, and thanks be to God for this special gift that He has given you! :)
Thanks!
Amen to that! :-)
That's correct! The opposite of three squared is -3² because the exponent only applies to the element directly to the left of it. To square -3, you must include the negative sign within the parentheses for the negative sign to be included in the process of squaring. Therefore, negative three squared is written as (-3)² as we are squaring both the negative sign and the number 3, not finding the opposite value of 3². Hope this helps and thanks for the comments!
These videos are very helpful and the instructor has a great attitude. I just started a semester in college after not attending for 10 years so the videos serve as a good refresher for me. This subscription is good for learning as well.
Thanks 4 the feedback Lenox and we appreciate your subscription!
What took you so long to return.
@normanhenderson7300 Hello! Always working, just offline. Glad to be back!
Mr. Whitt, your method of operations is soooo less confusing and makes perfect sense! I have been struggling in Math and am now going to check out ALL your videos, thank you, thank you very much!
Hello Judy! I'm glad this method worked best for you! Good luck in your math endeavors and I hope my other videos are just as helpful to you! Mr. Whitt
Exactly! We've seen and heard a lot over the years as well. It's amazing how many educators, textbook authors and the thousands of students they affect have been misinformed! Thanks for your testimony!
Almost thought you were going to do 6 ÷ 2(1+2) correctly, but you got it wrong. You didn't apply distributive property on this one. You correctly did it in another problem but not on this one. If you do apply distributive property, then you will get 6/6 which is 1.
Think about it. That 2 was factored out of the brackets. So 2 belongs within the brackets. Properly applying distributive property would result in
6÷(2*1+2*2) or 6÷(2*3).
Beauty of math is, if you correctly apply rules, you will get the same result regardless of which part you solve first.
Well in the UK it's BIDMAS
Brackets
Indicies
Division
Multiplication
Addition
Subtraction
Thanks 4 sharing Christiana!
You must know that this is the first concept I address when I teach this subject. What I have also found helpful is to have students write of this acronym exchanging the M and D and the A and S and creating their own for fun so they don't take it so literal. They always appreciate this.
Awesome way 2 approach this concept April!
Paid a tutor for this I can't lie he didn't know what that was I almost got upset 😡 glad I saw this channel
And i realize that he has a personality that makes me want to watch the whole video which I wouldn't do if it was another person. Thank you Fort Bend Tutoring
You're very welcome Chris! Thanks 4 watching!
Your so welcome. ;)! Thanks for commenting. I appreciate it very much.
I use BODMAS and was recently confused why 5-5+5 wasn't -5 but this helped me get my head around it.
Thanks 4 your testimony! Happy 2 hear it helped!
OMG!!! I've tried so hard to understand how to do these problems. I think I finally understand. You go through it step by step and actually show us how to solve the problem! THANK YOU SOOO MUCH!!!!!
Happy 2 help Kathy! 👨🏾🏫😁
I did it on calcu...and it gave the exact answer he gave so in conclusion he's CORRECT and we were taught the wrong way all along.
Thank your Mr. Fort for just being humble enough to indicate these problem we have in math, and just doin it for free without payi just know you're a man of God, Thank you very much appreciated.
I appreciate the support Marcus! As far as being a man of God, I'm a work in progress as most men are.
Great Presentation. I finally understand the "order of operations". Its a lot easier that what I learned many years ago. Now on to positive and negative number signs. Thank You.
Dear Fort Bend tutoring, just for discussion: The parentheses represent a group with numbers as it is here but it also can contain variables with mixed operations. In the subject expression, the group has two numbers to be added but acted upon by an outside operation as it is here by the FACTOR of 2. Some see the parens as not being fully resolved until that operation is complete. Some think that the result is a value in and of itself and the group would not be satisfied (arrived at the true value) by removing the factor. This is true when DISTRIBUTING the factor across the group. e.g. One would arrive at a totally different answer if one were to distribute the values as in 6:- 4+2 (six divided by four plus two) then using PEMDAS would give us an answer of 3.5 I hope you are not suggesting that distribution cannot take place before the division operation. So simply using that primary school mnemonic is a generalization that fails in this case. It may be ok for simple math but not for more complex expressions.
I always go left to right. I've argues with so many telling me I've been doing it the wrong way when it was them going wrong.
Thank you so much! I am a science teacher who has moved up to the high school level and wanted to brush up on some of the easily misunderstood math concepts. In the elementary schools they are introducing Order of Operations with PEDMAS, and kids are floundering when they get to high school. You taught this EXACTLY like my favorite math teacher ever - Mr. Bell from Haughton, LA! Your voice even sounds like his!!!
Nice! Well good luck at the high school level and thanks 4 watching! Get in touch with Mr. Bell and thank him. I'm sure he'll appreciate it!
Great job sir...I love how you are having fun red boxing it and you make math fun over all. Keep it up
Thanks Ozzy! I'll continue 2 do my best!
You're absolutely correct! We had to upload it again and revise it and it was "accidentally" deleted. Thanks for your support! Glad this video helped!
I was taught correctly!
P
E
MD
AS
i got scared from the title of this video but turns out, i was right all along
That's great!
ok
Your still missing the important distinction that multiplication does not come before division but you do whichever one comes first from left to right. Reading "MD" makes it look like Multiplication before Division as a rule.
@@EyeIn_The_Sky I'm not missing the point. I know that you do whichever one comes first. If i thought multiplication came before division I would've put the D under the M, but as you can see they're next to each other. Same with A and S.
First example on TH-cam that included a Radical/Root. Great Job!
Thank God I found your video! Earlier today, I was watching some tutoring to refresh my math skills. The videos were from Al Valencia and some students who worked out some problems! One problem, which I thought was going to be very simple, actually turned out to be troublesome because they were teaching "PEMDAS" yet did not really apply it and did not explain WHY! 19+10x7/7x3-18. It is quite troubling to know that many students are still taught incorrectly. It was finally made very clear in the first problem you worked on! Thank you so much! You are an excellent instructor!
+Balbina Nasiff Happy 2 help Balbina! Thanks 4 your testimony!
0:00 - 0:20 on o.5 speed he sounds so f*cking drunk lmao
+Gohan Son Thanks 4 sharing and tell Goku I said hello!
tried it out and had a good laugh LOL
bad langse
EVERYONE with a sense of humor knows Shirley Q. Liquor !!
Thank you, someone finally speaks about this. I've been noticing that people often think about it the wrong way.
You're welcome Drednaught!
maleah brown The first problem I show the correct and wrong way to do these types of problems. Doing all order of operations problems the way I suggest throughout the remainder of this video, will give you the correct answer every time.
+Fort Bend Tutoring YA!!!! (claps loudly) PEDMAS is wrong PEMDAS IS RIGHT (whistles and claps loudly)
+John Haugland You should have used * instead of ()
YA!!!! *claps loudly* PEDMAS is wrong PEMDAS IS RIGHT *whistles and claps loudly*
It looks a lot better
you write it like this:
YA!!!! **claps loudly** PEDMAS is wrong PEMDAS IS RIGHT **whistles and claps loudly**
true
I've always been taught that mutlpctn, divisn,subtrctn and addtn all depend on what came first, so I am not really confused, thanks though.
Fort Bend Tutoring maybe you can clear something up for me. I understand the order of operations but what I don't get is why, in the expression you showed, 6/2(1+2), the distributive property doesn't apply. If I where to plug in a variable for the first 2, as in 6/y(1+2) would that not equal 6/(y+2y) ? This whole thing has got me confused
I learnt arithmetic ,algebra,calculus ,differential equations,even some quantum mechanics . Arithmetic was the only branch that used the obelus divison symbol. The use of the horizonal bar forced the writer to clearly state the next series of operations and if not clearly to use parentheses . Mathematical expressions should be written in such a way that one understands or arrives at the same result or conclusion whether one reads it forwards or backwards .
Where i live its gemdas
+A Something Panda Awesome! Thanks 4 sharing!
A Something Panda What's does the g stand for?
unoriginal username here G stands for groupings which means brackets (I could of spelled that wrong) and braces also perenthencies (I could of spelled that wrong as well.)
i was taught both
Showing the solving of problems by the correct order of operations, one after another after another, etc., is the best way to build cranial muscle memory. Your method is best I've seen so far. 🙂🙂🙂🙂
I always knew PEMDAS was wrong, kept writing "PEMDAS IS STUPID" on my notebook when my teacher taught it. I've always preferred to go left to right rather than a stupid rule that complicates things, schools should not teach PEMDAS anymore!
YES!!! That is what I was taught in school. They told us to use Please Excuse My dear Aunt Sally and they NEVER told us we choose the one (M,D or D,M) comes first, LEFT to RIGHT. They emphasized the ditty more than the actual application of the order of operation agreement.
I think I was taught the right way to because on all of my tests I use either GEMDAS or PEMDAS and i always get 100's.
Awesome! Thanks 4 sharing!
No Problem
This was absolutely AWESOME!!! I've been a Math "coward" for many years and always avoided going back to school for the fear of having to do Algebra. I've never grasp the basic "formula" for algebra... and for lack of better words it's always scared the hell out of me. I certainly appreciate the "ease" of your instructions!!! THANK YOU!!!
I'm so happy the video helped you! Thank you for your testimony and be a "math coward" no more! :-)
BEDMAS is way easier for me
Cool! Thanks 4 sharing!
Meaning of BEDMAS? I will take our civil service exam and this lesson was very important.
If I were you I would rather learn the Order of operations the correct way and leave all the confusion of the incorrect way behind.
Well BODMAS is Way easier for me!...that's how I learned it! :)
I'm so happy I discovered this site. Many examples for each subject allows for perfection. Where have you been all my life? I'm a Middle School math teacher. Seeing the same problems taught in various ways, allows students to have choices in solving their problems.
ST
Thanks 4 your generous donation we hope you find our channel very useful 2 you and your students!
PEMDAS is wrong now it's BPEMDAS (I know I am in 5th grade and I learned it at the begging of the schoolyear)
Thanks 4 sharing Madison!
Fort Bend Tutoring. you're welcome unless you are being sarcastic then that would be rude.
+Madison Jordan just say you're welcome and move on
DarkSteelz _329xd hey I voice my opinion and I am reading it from a phone so I cannot tell what context the phrase is used in.
+Madison Jordan im talking about your second comment
I was always taught this way and I have never been confused about it because it is really easy, but alot of people tend forget to do steps 3 & 4 from LEFT TO RIGHT.
PEMDAS in 4 Simple Steps
Step 1) Do the parentheses (brackets).
Step 2) Do any exponents.
Step 3) Do any Multiplication OR Division LEFT to RIGHT
Step 4) Do any Addition OR Subtraction LEFT to RIGHT
Thanks 4 sharing!
Left to right is not important since the commutative rule tells us the order is not important. it's a convention but not a rule. You have two rules, left to right rule and the juxtaposition rule where the distributive rule is an outcome of juxtaposition. So it comes down to which rule do you follow. The whole thing is moot since no math teacher would set up a problem like this. Operations are to clarify--not confuse.
Thanks 4 sharing Taigen!
I LOVE your intro! It is hilarious and definitely grabs attention. Keep the videos coming.
I sure will Staci! Thanks 4 the feedback!
No problem and glad to help! Thanks for subscribing!
Thank you SO MUCH for this video. I struggle with math as a college student. In all other areas I am able to get A's and B's but my major includes a ton of math and I have been terrified for this coming semester due to this. You have no idea how you have helped my mind to finally click with what has been one of the most difficult concepts for me thus far. Please continue making your videos because you truly are an amazing teacher.
Thanks KitCatNat (I LOVE your name - say it over and over again really fast, it's fun)! I'll do my best! I really appreciate you watching and your kind words!
You're welcome! & It is pretty fun to say lol.
My 4-year old cousin already knows Order of Operations by watching Math Antics and educational vids including this. Nice vid, man!
I appreciate the feedback! Thanks 4 watching!
No prob
I learned this in a french school in Canada, and we were taught:
PEDMAS
| | V V
1 2 3 4
and my teacher also showed us all the possible combinations so we wouldn't get confused
Cool! Thanks for your contribution!
Thank You, Thank You, Thank You. I am studying for a math placement exam and couldn't figure out What I was doing wrong on the review. This video helped address 5 math issues that I couldn't figure out before. This is how Everyone should be taught order of opps.
You're very welcome! Glad this video helped you out and thank you for your testimony! Good luck on the exam!
I love the teaching method of Mr Whitt. Educational with stress relief.
Thanks Estella! Appreciate the feedback!
I just want to say THANK YOU! I am currently trying to go back to college after an 8year break, I've forgotten a lot of math, much of which i was fuzzy on in the first place. This video has been so helpful! THANK YOU THANK YOU THANK YOU!
Happy 2 help Samantha! Thanks 4 the feedback!
If you're writing by hand, I'd always recommend using a fraction bar instead of the division symbol. It works as a grouping notation, so it eliminates a lot of ambiguity.
Thanks 4 sharing Lars!
For 6 / 2(2+1)I would come up with the answer on 1. I'd only get 9 if you used a long bar and put (2+1) above it or used the % and X symbol instead of the fractional/rational operator and the implicit multiplication. A lot of times 2(2x+1) is used to simplify the expression (4x+2) . It would be weird but allowable notation to start the problem 6/(4x+2) is equal to 6/2(2x+1) is equal to 3(2x+1) is equal to 6x+3. If you plug in the values say 2 and 5 for x you get 6/10= 15 and 6/22 = 33 respectively which is obviously false.
Therefore it is reasonable to assume a multiplication in the form of x(some-expression) is implicity grouped as if a set of parenthesis is around the whole problem like (x(some-expression)), but it's left off just because it's a lot more readable. Anyone familiar with higher-level maths is going to read in an extra set of parenthesis out of habit,
You're correct in that the parentheses have a big role 2 play. However, 6/2(2+1) even without a "long bar" would still be 9. The substitution you used is also incorrect. Using your example, the equivalent expression is 3/(2x+1). Due to the fact that your original problem included (4x+2) in the denominator, factoring out 2 and simplifying the expression does not allow you to remove the remaining factor from the denominator.
Thanks 4 sharing!
@@FortBendTutoring You're wrong, and PEMDAS is still wrong. There's a thing called multiplication by juxtaposition which takes precedence over multiplication and division.
The correct answer for 6/2(2+1) is 1
The only way to get 9 is by writing 6/2*(2+1)
If you want a full explanation, watch this video th-cam.com/video/lLCDca6dYpA/w-d-xo.html
I found this very helpful. I was not a very good math student and now I'm working with kids doing math I was never strong in. This gave me some confidence and clarified my thinking. Thank you
You're very welcome Josefa!
This video reeeeeally helped me understand what was wrong with they way I was attempting to do my order of operations problems. I have been out of high school for many years and I am reentering college with a field of study that will require college math....after ALL THESE YEARS. I'm preparing for the PERT Test. I did well on the whole review EXCEPT the order of operations. Now I'm much more confident.
Thanks for the feedback and we're happy it helped!
Under "PARENTHESES", you could have also put down HORIZONTAL FRACTION BAR. This is because a horizontal fraction bar, in addition to meaning division, acts as a grouping symbol of a kind, separating everything on TOP from everything on the BOTTOM, and then telling you to do the division of the top by the bottom LAST.
.. really nice comment. and that's exactly why examples at 8:00 are wrong. -- multiplication by juxtaposition (by leaving out the multiplication sign) _also_ should be treated as grouping.
@raitisnugumanovs1693 My comment concerned HORIZONTAL fraction bars, NOT division signs or slashes. Therefore, whether the examples you point to are correct or incorrect has nothing to do with my comment.
Now, as to whether multiplication by juxtaposition has higher priority that explicitly written down multiplication and division signs, that is nebulous. It is something upon which there is no universal agreement. If it were as you say, then it should clearly appear in basic arithmetic and algebra textbooks where Order Of Operations is listed, but it usually does not.
The best policy is just to use grouping symbols when you think there may be ambiguity.
I totally agree! Thanks for the comment!
Thank You!
So many get this wrong.
Left to right convention is much clearer...yet, you'll get some people telling you that is incorrect.
Everybody needs to be on the same page.
Unfortunately, they're not.
Thank you for that , You made things more clearer, I could watch you do math all day !!!
You're very welcome! Thanks 4 watching!
Thank you!
I was one of the ones that wasn't taught correctly or I just forgot.
A day is not wasted if you learn something new.
You're welcome Tana! Happy 2 help!
Love this site, I am no longer afraid of the order of operations!
Awesome! Happy 2 help!
In the extreme cases, you're correct! However, math is still elegant to us even with an excessive use of parentheses. Thanks for the comment!
I love Fort Bend. Mr. Whitt is the best! You make everything so easy to understand. Thank you.!
You're welcome! Glad it helped and thanks for the comment!
I really enjoy how these problems were broke down to help you understand, being that math is not my best subject. But this process the order of operatiion really made it easier for me to understand, Thank you.
This was truly so helpful,I seemed to have learned better from you than any other tutor in person. Thank you.
That's an amazing compliment Michael! Thanks 4 watching!
So clear and easy to understand. This is the only math channel I'll be using to study. Thank you very much!
Happy 2 help and thanks 4 watching!
@@FortBendTutoring You are hindering not helping.
Your videos are the bomb!!! I understand PEMDAS clearly now. As a non-traditional student returning to school I'll not fear math any more because I can always look you up to get the hook up! Thanks.
Great video. I was just talking with someone about this today. I never thought the Dear Aunt Sally song was helpful, so I ignored it ompletely, but I always found PEMDAS to be a helpful mnemonic. I did have the issue at first of thinking of it as P-E-M-D-A-S instead of P-E-M/D-A/S, but even after having to break myself of that bad habit I still found the acronym useful. I think that teaching a mnemonic is OK as long as it is heavily stressed simultaneously that M/D and A/S have the same priority. Students who don't need the mnemonic will ignore it (like I did Aunt Sally) and students who do need it will be happy they have it. I had a teacher once who wrote it vertically on the whiteboard, and placed MD and AS on the same line respectively. I thought it was a pretty intuitive way of representing the correct order while still presenting the mnemonic.
Thanks 4 sharing! We really appreciate your feedback!
You make this fun, the way I learned it!!! I love This!
That actually made sense to me. I'm 51 and always sucked at math! I have to take an exam to get into a medical assistant program and it seemed daunting, but now it's not. Thank you!
Happy 2 help Tara! Good luck on your exam!
People, this video is wrong.
This is not how algebra is done, not how scientists do math, and not how engineers evaluate such expressions.
Furthermore, it is not how textbooks do it.
Thanks 4 sharing Nick!
Sure, our response is it depends on the author of the question. Both ways are mathematically correct, so it doesn't matter whether you simplify using the order or you're "forced" to simplify in a specific order based on parentheses, brackets or braces. Thanks for your input.
Agreed. However, the focus of this video was suggesting a strategy to the masses regardless of age or learning styles. When teaching to specific subsets, a teacher has the opportunity to tweak his/her lesson to accommodate their students. Our issue is that a strategy that may help a few has become the main strategy attempted in many classrooms across our nation and others. We've had the benefit of witnessing the long-term disadvantages of straying from the order to push the tool. Great response!
Thank you... you use the term "quantity of" for parentheses. It is so important to use proper terminology, but few use it anymore.
Thanks for picking up on that! I'm not perfect, but I try my best to include the correct terminology in all of our videos!
Wonderful! I hope you and many others benefit from the work being done here. Thank you for your kind words. Good luck in your career!
Thank you so much for these great videos! I'm preparing for my G.E.D Test and math so dam profound of a subject... It's the hardest part of the G.E.D! I'm glad I'm learning from the right mentor.
I'm really happy 2 hear that I've been a help 2 you! Good luck on your GED examination!
I was just randomly browsing your (EXCELLENT) channel looking for material to improve some of the weak points in my foundation, I think working on my fundamentals will obviously be very important as I move forward. I just wanna say I NEVER knew this about PEMDAS lol I'm just shocked that this didn't cross my radar all these years? Wth? In any case awesome videos man.
Fort Bend Tutoring First thank you very much for this, I've been doing it wrong for so many years. Second what device are you using to draw on? I could definitely use one for my own tutoring.
Hello Lucas! We're glad the video was helpful 2 you! We use Apple iPads in our videos and an app called Penultimate by Evernote. Thanks 4 watching!
I had an excellent teacher in College, and your teaching takes me back to that one class I never wanted to miss. Thank you sir, you've successfully utilized and chosen your words wisely which are very descriptive and revealing to the secrets of successfully using the order of operations. Excellent video, :)
I WAS TAUGHT CORRECTLY!!! Thanks for verifying that! Oh and I love your channel! Math is NOT my thing...... I have to study up for a big Teaching License Exam and these videos help A LOT! :D
That's fantastic news Kaitlyn! Thanks 4 watching and good luck on your Teaching License Exam!
Fort Bend Tutoring I PASSED IT!!!! Thank you thank you THANK YOU!!! Your videos were a life saver!!!! 😁
Say WHATTTT???? That's amazing Kaitlyn! I'm so proud of you and thankful I could play a tiny role in your success!
Really enjoy these Mr. Whitt. It's a relief to know I was following the right order of operations! Also a fun way!
Thanks for subscribing and we appreciate you sharing the goodness!
Thank you for this video! I'm so glad I stumbled upon it and watched! Do you have trigonometry tutorials?
Sure thing Molly! Here's a link 4 our trigonometry videos: th-cam.com/play/PLA97277E736FFDB97.html
My math teachers in British Columbia taught it as BED/MA/S spending time on the grouping (or as you put it equal weight) of Division/Multiplication and Addition/Subtraction.
+Canadian Hart Thanks 4 sharing!
Hey Heidi! PEMDAS is just a tool used by many educators to teach students the order of operations. PEMDAS, the mnemonic, is not the order of operations. It is this confusion between the two that has some teachers and students learning the order incorrectly.
Hello LotusMkV! Thanks for your comments. Since this video is intended as a foundational video, I'm focusing on the principal root of 16. My knowledge of the subject is displayed in my video, "Solving Quadratic Equations: The Square Root Property" as I point out the negative root you refer to. -3² is -9. It means -1⋅3² which is -9 and it's word name is the opposite of three squared. I'm informing students & teachers of the exact science of mathematics. Don't assume parentheses just what you see.
I just had my 9th grader to use PEMDAS and sure enough she calculated wrong. My 7th grader did the same mistake..... figures now they don’t press the issue in school on left to right or catch the mistake to corrected and they keep on going by what they hear most which is PEMDAS! Great video!
Happy 2 help Di! Thanks 4 the testimonial!
thanks really helpful never thought about that by the way what app did you get to get that screen when you do your videos or is it already installed in the ipad
This is a great tutorial. I teach 5th grade Mathematics and by far this web series is the best in the business. Love, love, love! I am sharing this with ALL the teachers in my district. It's just that GOOD! :)
Thanks 4 the love!!! By all means, PLEASE SHARE our channel with your students and coworkers! If you're able, please send us a picture of your class watching/using our videos!