Introduction to order of operations | Arithmetic properties | Pre-Algebra | Khan Academy
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- Опубліковано 7 вер 2024
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This example clarifies the purpose of order of operations: to have ONE way to interpret a mathematical statement.
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Teachers: figure it out yourself
Khan academy: come with me my child
Yeah.
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true
True
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me too
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And more fun as well
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this was way more helpful than my teacher in high school.
frr
I'm not evn in highschool and i'm doing this
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I was flipping thru the stations and saw u on the charlie rose show. your vids have inspired me to want to learn math again after years of struggling with it. I'm 43 and when i was coming thru none of my teachers taught the way u do so i just gave up after failing pre algebra. im so glad u decieded to put these vids up, i know your helping a lot of people! :)
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This helped me a lot.. dude I was so confused for the past month..
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I wish I had a math teacher like you when I was in school.
There are many different acronyms for this such as BIDMAS, BODMAS, PEDMAS... great introduction! 👍
What’s BIDMAS and BODMAS? Also GEMS is a potential acronym
I’m guessing B is brackets but I don’t know what I would be.
@@pgpyrem6558 Indices
I learned PEMDAS as BEDMAS.
Brackets
Exponents
Division/
Multiplication
Addition/
Subtraction
Same OOP, different acronym.
🤯
khan da man!
Thank you for making Order of Operations very clear in your video. So many are confused on this point. The main problem is some misinterpret PEMDAS as meaning multiplication has priority over division and addition has a priority to subtraction. THIS IS WRONG! Multiplication and Division are equal and Addition and Subtraction are equal, so you work left to right. It is why I don't like PEMDAS because it confuses people. I prefer simply saying:
Parentheses
Exponents
Multiplication/Division (left to right)
Addition/Subtraction (left to right)
Absolutely. 8)
Tanks for simplifying a 3 week lesson into 10 min
Thanks*
Khan Academy makes everyone so much simpler. Y'all are gods fr
im preparing myself for a pre algebra lesson for my first year of high school! im nervous and dont know what im about to step into but this rlly helps!
Nice
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I am so ready for tomorrow's math test! Thanks Kahn academy 👌🏼👍🏻😅
i had to watch this for homework to help me. I have to say it worked. I got a A on my test! thanks!
Newest Comment! And if ur reading this...
Have a good day!
The order of payment is extremely important. This is because the order of calculation can be applied in real life. You also need to know ( ) and { }. That's what it should be.
THANK YOU!!! I have a quiz on this tommorow and you saved my life. You are amazing!!!!
i can't stress enough how helpful this videos are.. way better than the handouts they give us.. thanks :D
I wish you were my personal tutor!!
Can you do a fraction order of operations? Really stuck on that in school. Thanks.
It’s been six years, I hope you learned it in time
Sierra Grella lol
yes
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Me
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Here's the order of payment.
1. Calculate from parentheses.
2. Calculate the square
3. Calculate multiplication and division.
4. Calculate the addition and subtraction.
The square I'm talking about is the index.
✅
This video me and my classmates. Thank you so much for helping some of my classmates who have a hard time understanding this lesson. We are gonna have a Term Exam tomorrow and I'm helping one of my friend. Thank you so much from the Phillipines!!! :D dont mind my pfp
5:40 is where majority gets it wrong! Pay close attention people! Knowing this can save you a lot of trouble!
I'm not saying this video is wrong. He did everything correct. All I'm saying is that people should pay close attention on the Multiplication & Division step as most do not solve left to right.
TheHRchannel Kid...... We don't need a math teacher in the comments..
Be quiet a person
my techer is makeing me wach this and i already know this it is my favorite math problem
If you're 13 and up and you're in school idk how they taught you grammar
@@zexuu1608 He might live on a different country that does not speak English very often?
Mara Gail Roxas true
@Late to the Game ok. and.
Let's say, we would like to solve the problem as is being written as follow:
8÷2(2+2)..
If you want to perform the order of operation, you should arrange your problem in more specific way, for example, 8÷2×(2+2).. otherwise 8÷2(2+2) will be translated as 8/2(2+2) which means 2(2+2) becomes most priority to be solved at first because the way it is being written.. But if you put multiplication symbol between 2 and (2+2) as I mentioned above, then you can perform the order of operation correctly..
In order to avoid any confusion, you should present the problem more specific way which it is to be solved as the way you want it if you would like to use the order of operation..
Jason Hunt Cat Looking Surprised Meme: This Is My Home
No ur just confused on the LEFT TO RIGHT part. U do 8/2, not 2x4
@@EvanReichert
Okay.. How about this..
(8÷2)(2+2)
8÷{2(2+2)}
Can't have same answer because the way it has written, huh?
It could just as easily be read as "7+3 groups of five." There's no deep reason behind why the order of operations is the way it is, just like there is no deep reason + means addition. We just chose + to be the addition function.
Fitnes
Nice explanation, my teacher said to watch this and now i really understand, nice man
thank you sir . this video was very useful for me
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@@blueorcah2779 lol 😂
excellent I can honestly say that i have a better grasp on it now.
Order of operations = brackets, exponents, multiplication, division, addition, subtraction. That's how I learned it at school.
Zohirul Islam Jewel same
I learned it both ways, and, they're both the same.
Bemdas? Isn't it BedMass
XxZachesxX _
No
Zohirul Islam Jewel Yes it's bedmas not bemdas.
This good for learning the asvab im studying asvab right now guys wish me luck
When you are doing the order of operation it was a little different, in my class me do PEMDAS
Same.
Outstanding! Very easy to understand -thanks
Thank you, thank you, thank you!!! I was so confused about this process until I viewed this video. I'm a parent of a 6th grader and his textbook didn't explain it at all. Thanks so much!!!
omg i cant believe I understand yeah meeee!!!!!! MAYBE ITS BECAUSE ITS COLOR CODED BUT WHO CARES I LEARNED HURRAY
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No one asked
@@jenni9680 i asked 😏
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I was taught a really simple way to remember the order of operations: BODMAS :bracket open ,division, multiplication ,additon, subtraction
+Nafiah Idris He introduces explaining the why. I believe in Europe they use BODMAS and US they use PEMDAS. They are the same.
i think it was BOMDAS, been awhile
I did it the same way as you bodmas
Yeah but you dont only use brackets or do you
Love this, u r helping me skip stupid math classes so I can actually understand college math when I go back to school and get my bachelors degree
Thank you!!!!! I was having such a hard time.
Bravo, clear instructions for my students. Only thing I don't love-- showing incorrect way to do the problem before the correct way. Thank you for your video.
P lease (paranthesis)
E xcuse (exponents)
M y (mulitiplication)
D ear (division)
A unt (addition)
S ally (subtraction)
nice vid for beginners, i remember i used BEDMAS , brackets exponents division/multiplication addition/ subtraction, it is just easier to remember. Appreciate your videos of any kind, keep up the good work.
I use PEMDAS parenthesis exponents multilication division addition subtraction
Thank you very much. My college professor could not explain this to me so it sticks in my brain. You did.
Very helpful. Thank you!
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I saw one of you're videos in my math class
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It gets weird when you have something like 15/3/3. If you do "3/3" first then you get 15/3/3 = 15/1 = 15. That's why the left to right rule makes life a little bit simpler, but I agree that with enough awareness it can be ignored. 15/3/3 = 15/9, just like 15 - 3 - 3 = 15 - 6. Some students will get confused and write 15 - 3 - 3 = 15 - 0 = 15. I did that some when I was a kid actually. I prefer to explain how to convert div/sub to mult/add though.
i like how he writes his sevens
thank you allaha may bless you
There is no left to right rule... Addition and subtraction can be done however is easiest. Same with division and multiplication, no difference the order, if they are on same level of the order of operations... Example: 18*45/15=? I would much rather do the division first. So much easier to figure out 45/15 first then multiply 18*3. Trying to multiply 18 and 45 would be less favorable... Same outcome, no problem. Thank you for these wonderful videos!
May Allah/God bless you.
thanks helped me alot iam in 5th grade an this helped me soooooooooooooooooooooooooooooooo much
I was always taught BODMAS/BIDMAS (Brackets, Order/Index, Division, Multiplication, Addition, Subtraction) and to always do division before multiplication and addition before subtraction.
It’s bedmas for me braquets, exponents, division,multiplication,addition, substraction
Really…..for me it’s Bidmas :)
@ViperZion
No, BEDMAS.
Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
He is writing on a pen unto a pad. You can use that when you sign something for an ID so that your signature can be printed.
im in 7th grade and this helped alot
Thanks Khan Academy. Ever since I watched your videos, it has been easier for me.
Uhhhh... ok
your better than my math teacher
I used this as a study guide for my test. Good resource!
The order of operations
Oh dear, it seems as though the answer depends on which way you look at the problem. But we can't have this kind of flexibility in mathematics, math won't work if you can't be sure of the answer, or if the exact same expression can be calculated so that you can arrive at two or more different answers.
What is the order of operations?
To eliminate confusion, we have some rules of precedence, established at least as far back as the 1500s, called the "order of operations".
The "arithmetic operations" are addition, subtraction, multiplication, division, exponentiation and grouping; the "order" of these operations states which operations take precedence over (that is, which operations are taken care of before) which other operations.
How can I remember the order of operations?
A common technique for remembering the order of operations is the commonly used abbreviation (or, more properly, the acronym) "PEMDAS", which has been turned into the mnemonic phrase. This phrase stands for and helps one remember the order of parentheses and brackets, exponents, multiplication, division, addition and subtraction.
This list tells you the ranks of the operations.
Parentheses and brackets outrank exponents, which outrank multiplication and division (but they are tied at the same rank), and multiplication and division outrank addition and subtraction (which are together on the bottom rank).
In other words, the precedence is:
Parentheses and brackets (simplify inside the grouping symbols)
Exponents (do operations and apply them)
Multiplication and division (going from left to right)
Addition and subtraction (going from left to right)
When you have a bunch of arithmetic operations of the same rank, you just do operations from left to right.
Thank u very much! BODMAS was kinda hard for me once, so I'm really glad you did this
tq so much 🥺😊 my exam is tomorrow and this is an amazing explanation 💜😊😊🥰
Thanks for your explanation. I am trying to learn the math I should have learned when I was a kid.
thank you cleared things up!
Joshua Santiago cool
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Your the man . Math made easy
In Confusion and Perplexity I have discovered and gained an Understanding of this crap!
Thanks Sal...
meh
Helped Alot !
It all depends on the problem being solved. Sometimes you need to add first sometimes you need to multiply first. It all really just depends on the question.
Using acronyms is what screws up some kids with this.
Multiple and divide =same level: solve left to right
Add and subtract =same level: solve L to R
But by using acronyms the kid learns one is above another in that order.
im trying to teach my 10yr maths, and trying to teach her basic computer programming, and for her to understand, i need to understand, I get order, but don't understand why,. taking maths in its fundamental basics can define order of operations in the maths rather than applying a rule that keeps the maths under a strict syntax of expression, when a logical order can be created with nested bracketed sums that implys the rule in the maths. hence always left to right, not based on its operand, but nested in a order than makes the maths explain itself, not the maths following an external rule, and written following that rule to make the expression, then using the rule to sum the expression,. i hope i make sense :)
Thank you so much
omg thank u soo much u helped me
We also call it as BODMAS
BO: bracet opening
D: division
M: multiplication
A: addition
S: subtraction
We call it PEMDAS.
P: Parentheses
E: Exponents
M: Multiplication
D: Division
A: Adding
S: Subtracting
Please excuse my dear Aunt Sally (PEMDAS). I find it cool how it seems a little different than what I was taught! :)
Thanks
For those of you saying it depends on the question, you're not wrong. But if the question does make sense to do it differently then you would put in parenthesis accordingly. So if you wanted to add first in 7+8x2, then you would write it as (7+8)x2. Otherwise multiplication would come first.
yeah, multiplication comes first, but it distributes. so it doesn't really matter. if you want it to be 7+(8x2), then you would need parentheses.
Shukria
This man is a superb math teacher.
Thank you so much sir and I’m class I was bad at this until I watched this video know I leaned how to do it thank you
Cool dude
I love thus kind of math.
Thanks that helped
Cool video!
These videos make it so much easier for math, and i know it's been 10 years but I dont care
good explanations. thanks
VERY DETAILED.........👏
That particular example works, but you run into a problem if you have more operations. Suppose you have something like 18*45/15*3. Now the answer can be either 18 or 162 if you don't have an unambigous order of operations.
Well, the "left-to-right rule" was invented to sidestep that issue of ambiguity. According to the 5th grade math teachers, you're supposed to evaluate operations at the same precedence level from left to right.
Better though, in my opinion, to use more parentheses for clarification if it matters whether you go left to right or not.
There is operator precedence, yes.
But there is no "order of operations."
We don't necessarily have to what's inside all parentheses before we do any exponentiations.
We don't necessarily have to do all exponentiations before we do any multiplications or divisions.
We don't necessarily have to do all multiplications and divisions before we do any additions or subtractions.
We do have the various properties of math that we can use to rearrange expressions so we can evaluate them in an order we find more convenient
Also, make life easier for us by using more parentheses if it matters whether you go left to right or not.
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