Master the Order of Operations (PEMDAS) in Math - [5-7-5]

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Twitter: / jasongibsonmath
In this lesson, we will learn about the order of operations in math. Order of operations, also known as PEMDAS, tells us the correct order to perform calculations in math. At the highest level, we must do what is in parenthesis first. After this, the next highest priority is to do exponents, followed by multiplication and division, then finally addition and subtraction. It is important to perform the multiplication and division from left to right. Similarly, we do the addition and subtraction from left to right. We will practice order of operations by solving many problems step by step. We use order of operations in algebra, trig, calculus, physics, and beyond.

[@gordonspooner9723]

Thanks Jason. I'm 71 now and finally get it. Just wish I had you for a teacher 55+ years ago. 5 algebra regents to finally pass with a 67. Just couldn’t understand foreign languages; algebra, French, music.

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Learning German

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[@marciajacobs575]

Good afternoon Jason from Math and Science, I am not sure that you preferred to be called Jason or professor. My name is Marcia Jacobs presently attended Queens Borough Community College fall semester of 2021, subject taken was math 119. Prior to taking Math 119 Fall semester I reviewed basic math and pre algebra you really showed me that I missed the concept in high school and any student whom watched your instruction in basic math, pre algebra and college algebra will never failed math again. your instruction, illustration and information was enforced, points made was very strong after watching your videos on youtube I will meet my goal in math. After all pre algebra in High School seem like it came out of the twilight zone, my highest score in high school was 75, now I feel very confident of 100 which is my goal. I would like to take the time to Thank You for sharing your resources on youtube which help a novice student while I took math and expecially during Math 119. Hoping you and your family had a happy holiday and a happy new Year. Many blessing in future endeavour. Thank You Marcia Jacobs

[@Songfugel]

This isn’t actually 100% exhaustive. You first do implicit inside *and* unimplicit parenthesis outside the parenthesis. For example 2/4(8) is not equivalent to 2 / 4 * 8, but to 2 / (4*8): since in this case 2/4(8) is actually 2/32 2/(4*8) or 2 / 4(8). You see this very commonly with cases like 2/ 4a where a in this case where a is 8 This is what causes so much confusion on these popular meme posts where people argue over endlessly without fully understanding the issue. It doesn’t change the order of operations at all, it is just a more natural way of markup that reduces implicitly declared properties which you do need to add for computers

[@LQVEGA]

really now clear for me the proper order of calculating numbers in different operations with parenthesis.. Thanks sir, for sharing the knowledge , appreciate it very much, can share it to everyone.. God bless.

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[@MathAndScience]

Thank you so much!

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@@MathAndScience maths made me anxious at school. Gt at English Literature, language, history etc therefore I failed my 11+ aged 11. Missed a scholarship. Had I been in yr class! What a difference! Aged 81 UK. Love it💌

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Mr sunshine you are absolutely correct. You should have stayed at home and waited for cell phones to be made

[@mustbeik]

really you're a good teacher and thank you God bless you

[@michellesilva2359]

Just watched your video with my son and right away we learned your strategy. I think it’s great how you teach and explain. Thank you 🙏🏼

[@bryyhuh3039]

You are a really great teacher, I managed to pass my online math test all because of watching your videos of Math and Science! Thank you so much and god bless you!😁

[@Cheesecake99YearsAgo]

Great Work Mr Jason

[@donaldmilhoan6379]

I love watching your channel, I'm retired, but still good for the brain.

[@lisaboyd4412]

Wish you had been my math teacher. How simple. Would have saved years & years of frustration.

[@242math]

excellent tutorial on PEMDAS

[@Kevin-xu8se]

I know everything about this but thank you 😊

[@seniorcomputer3292]

Wonder clear concise. Thank you

[@alexandria1672]

hey!! im a pretty young student and I’m still trying to learn a lot of stuff but I’m going to be using this video as a guide to help me and I kind of already understand orders of operations but my teacher makes it very.. very confusing.. we learned the method of "PEMDAS" and it really confused me because one of my biggest downfalls is asking waaayyy oo many questions in my head that confuses me, but anyway, out of 50 stars, im gonna say how much I understand orders of operation and hopefully one day it reaches 50 for now : ⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️

[@donames1438]

Great video like always! In the future put the notes such as ( ), × , ÷ , + , - on every white board if practical. Thanks for your wonderful videos.

[@taethegreat5787]

I am so thankfull i dont think i can find any teacher that good at explaining and teaching Thank you so much you helped me alot!

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Hands down, one of the best teachers out there. I have subscribed as a member, to view all the lessons on the website, and so far it is the best value I ever got from my education investments. I mean - every lesson is top tier explanation. Don`t get me wrong, but I am kind of glad that you left NASA to pursue educational projects :D We can survive without a spacecraft or two, but we won`t survive without great tutors.

[@MathAndScience]

Thank you so very much - I really appreciate the nice words! Jason

[@darcybilevich2548]

I wish your videos went in order for easy to follow procedures.

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I appreciate that you have neat handwriting.

[@cathystillman5049]

Great job at explaining … going show my grandson

[@jamesbuckley5454]

Great job Jason!!! I have learnt so much from your awesome lessons. Keep it :-)

[@Bluegadon97]

Thank you so much !!!

[@johng.1703]

when you realise the 7*3 is 7+7+7 you can start with addition and end with addition. the reason you don't add to a multiple is because the two terms are multiples, so in this instance 7*3 is either 3 lots of 7 or 7 lots of 3, if you added the 2 to the 3 you would be doing 5 lots of 7 / 7 lots of 5. so you would be adding 14 not 2. you can actually do the addition first as long as the addition is a multiple of one of the terms and you add it as a multiple, for instance 7*5+10 10 is 2 lots of 5 so you could add 2 to the 7 and you would then have 9 lots of 5. when you understand what is actually happening and why you need to carry out the operations in a specific order, you no longer need to follow that order. you can do it in any order you like as it is all addition and you can do addition in any order you like.

[@princebryan9592]

am so grateful for you skills in math it opens me up

[@tctc0nsulting]

Thank you.

[@MM-dj2cv]

Good teacher explaining is clear

[@emmanueljohna.ladignon4607]

This vid helped me passed my math. I got an A+. Thanks.

[@joshuaelbert6522]

This is an idiot's guide to the order of operations, and I am a qualified, certified idiot! How many hours of heartache I might have saved if I had learned upfront that operations on an equal order of priority are always done left to right! Thank you.

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New Subscriber. Thanks!!

[@user-el4yj7my2s]

Thanks sir it's very helpfull

[@smartball6348]

Your Channel is Nice for Science math Thanks Sir.

[@thedevbek]

I so learned this today!

[@MathAndScience]

Great!

[@langchang1267]

Hey Jason, Question does your Algebra 2 course include Advanced Algebra, algebra word problems and Matrix algebra like your algebra 2 tutor did? If not what order should I follow it after completing algebra 2 course?

[@earlofthearies.1982]

A question for a real Algebraist.

[@kainwi]

In the equation (5 - 3) + 2 = 4, but you can make it 5 + ( -3 + 2 ) = 4 also.

[@tarheeltexan]

It won’t always work out like that. You will always get the right answer if you follow the order of operations. You changed the original problem to suit your answer. The original problem was 5-3, not 5+3.

[@hemarajue2736]

I didn't bother much about the order of operations earlier. Later on I realized the importance of order of operations, when I come across the expressions like 8×4÷2=? 8÷4×2=?

[@taethegreat5787]

Yeah i know that's just easy

[@hemarajue2736]

@@taethegreat5787 roblox what makes you feel easy here?

[@taethegreat5787]

@@hemarajue2736 I think the second problem was the easiest but i think all of them wasnt that hard too

[@hemarajue2736]

@@taethegreat5787 yes it's easy because of order operations. We evaluate the expressions just like we read a line from left to right. At the same time we underline the keywords which are analogous to parentheses.

[@taethegreat5787]

@@hemarajue2736 Yep

[@debjanim859]

Can you please write the fullform of P and E stand for? We learnt BODMAS......Bracket -Of-Division-Multiplication-Addition-Subtraction

[@sh1ny_chan99]

Bodmas and pemdas are the same operations.

[@nandana3472]

Parentheses and exponent

[@SuongThol]

Good

[@harrymatabal8448]

Sir 5-7-5. Are we adding or subtracting. Thanks

[@SixStringsAndBeyond]

such a grand teacher. imagine how lucky we are that this dude is on youtube

[@johng.1703]

what happened to exponents?

[@theredwisper6484]

Yay

[@YouTubeDave-tp7ij]

Why did you skip exponents?

[@Garymarquezmarquez]

sir where the exponent in Pemdas the letter e

[@Garymarquezmarquez]

Others have many order whats real operation

[@TheMarshmallowMushroom]

idk where the idea that you have to multiply or divide whatever the result was of the parentheses before you multiply or divide anything else came from, but it is wrong. calc on the left is correct

[@PhuocNguyen-js6hy]

Cool cool👍👋👍👋❤️

[@user-bo1bp1jz5i]

I used to think x•(y+z) was the same as x(y+z)

[@MrGreensweightHist]

It is.

[@NutellaGabriella]

3:58 Start of REAL calculations

[@veatoledo9992]

🤩👏

[@nasreenkanjee6470]

First divide then multiply

[@earlofthearies.1982]

There's a lot of order of operations in mathematics, not just in Algebra, I got a question pertaining to calculations, let me know when you are ready.

[@smallimage6543]

🥉🏆

[@barryruff5369]

I’ve been looking at a lot of order of operations examples, however no one has shown an example like this… 5 x 4(3x2)

[@biloki3079]

It would be like this. Parentheses first 3x2=6 and we are left with an expression 4(6), a lot of people skip this part. We resolve the expression second. 4x6=20. We are then left with 5x20=100.

[@hestiaa9354]

@@biloki30794x6= 24; 5X24= 120

[@SAVAGExVEE]

The problem 48÷8(14-8)= i get 36 yet people say 1.. i know they are getting 1 because they are keeping their parenthesis values in parenthesis after the fact. I just want to know which is right and why is there such a mix-up

[@MrGreensweightHist]

36 is the correct answer. This is going to get a little long winded, sorry. The reason people keep, mistakenly, attaching the 8 to the parentheses is because they are misunderstanding something called "Implied Multiplication" There is a rule that you have to keep a coefficient and its variable together. 2a is one term. It must be treated as a single term. This multiplication is the HIGHEST priority because that term is inspirable. It is called implied multiplication because you don't actually have a operation sign telling you to do it. It is also called multiplication by juxtaposition. The word juxtaposition means side by side. When they see 2(x) they don't see a multiplication sign and think that is also implied multiplication. They do not understand that (), unless another sign is put in front of it, counts as an explicit multiplication sign, and is not "implied"

[@GhAnAbOyKo]

Whats 12 \15

[@racquelsabesaje4562]

(2+6).5-(5.4)

[@Cautiva]

Please, what would be the answer to: 48÷8(14-8)

[@kfjfkeofitorhf9520]

=1 48/48=1

[@franksoler598]

Can you help me with this?, 1.732(240)(40) 48.7 The answer by the book is 342.

[@MrGreensweightHist]

1.732(240)(40) 1.732*240*40 415.68*40 16,627.2 You may have written the problem incorrectly because neither answer is even close to correct.

[@Malik34566]

Hi

[@mathsandsocial4732]

my teacher dd like

[@Miguelito_1875]

Yesss first

[@capgains]

Yes but “why” do we follow the order of operations

[@Songfugel]

Because we decided it is a good way to markup things in a uniform and predictable way

[@capgains]

@@Songfugel if we were to randomly select which order to calculate, the results would be incorrect. So the order has been found to produce the desired results. Just like equations, the method to solve them should be similar to ways known to solve them.

[@Songfugel]

@@capgains Yes, But we could have chosen any number (and have) of ways to markup and process these things. This one is just the most generally accepted way in most countries with very few differences. However, if you go to more abstract or more mechanical ways, thigs do change due to optimization or markup differences. For example a common difference is 4*2 /3( 3+ 5) and 4*2 % 3(3+5) where % is that other division symbol I don’t have on this keyboard layout. Depending where you are and from what mathematical culture, you will get drastically different answers

[@MrGreensweightHist]

Because it yields consistently correct results when applied.

[@zcardman2007]

How would you solve this? "8 / 2(2+4) = " I say it is 8 / 2(6) =, then 8 / 12 = 2/3 or .6667. The question is whether you FIRST multiply the outcome of the parentheses by the 2, or divide 8 by 2 and then multiply by 6 = 24. All of your examples BEGIN with the parentheses, but I have seen none like my example.

[@MrGreensweightHist]

8 / 2(2+4) 8/2*6 4*6 24 The 2 in front of the () does not get priority over any other type of multiplication.

[@lilyluvs429]

Woo iv never heard of order of operations💀

[@Dawid-jm4vk]

Same 💀💀

[@Dawid-jm4vk]

I'm sixth grader lol

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Hi I'm harika

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...

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First

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boring makes me fall asleep bad content

[@huntingbears16]

Thank you so much!