8÷2(2+2) = ? Mathematician Explains The Correct Answer

This is why I hate the “PEMDAS” and other acronyms for order of operations. It makes operations like multiplication and division feel like they’re on different tiers even though they’re the same. In addition, people only remember the order and don’t actually understand how the order should be utilized in equations as such. Also, the division symbol and / don’t imply different methods to approach a problem. People are just used to seeing fractions vertically where the parenthesis around the denominator and numerator aren’t present. I’ve seen some people say that in primary school it would be 16 but in higher order math it would be 1, but math doesn’t change as one ages; it only expands. 1+1 in preschool is 1+1 when you’re Euler. Also, as one person said, only deal with the stuff INSIDE parenthesis first; that doesn’t mean to deal with stuff directly adjacent to it. It’s mind boggling how people don’t know the difference between “inside” and “adjacent.” The calculators are right; the answer is 16.

Welp, since everyone got their own opinion here, I just gonna say one thing.

Don't be so hard headed. I see a few comments here and there insinuating that 'you're wrong, so I win'. We are all learning here. There's no need to mock someone with different answers.

PEMDAS but the kicker is, you’re supposed to do the multiplication/division in order from left to right AFTER the parentheses. Last step should be 4(4), which is how we get 16.

This isn't really about maths. It is about conventions.

So interesting that I just read a version of order of ops in which juxtaposition multiplication is done first, regardless of L to R precedence. I fail to see how you can say 16 is 'without a doubt' the correct answer, since you actually introduced doubt in your own commentary. Incidentally, according to most definitions, there is no such thing as 'apparent ambiguity', only ambiguity; This is because ambiguity is an expression of how things appear - they are not clear. As it turns out, your decision tree does demonstrate ambiguity, in the sense that two different questions are being asked in the original presentation. Accordingly, it is quite appropriate that there are two different answers. In logic, this is the 'many masquerading as one fallacy'. You can always write out an expression in full to yeild a single answer, provided there is originally only one question being asked, and not 'many masquerading as one' as in this and many other internet examples.

Isn’t this just written wrong?

its 8. 2+2=4 and 8/2 = 4 and since theres no symbols between the 8/2 and 2+2 its 4x4 which is... i got it wrong ITS 16!!!! 🤦‍♂

This video is wrong because it's ambiguous you only use ÷ in lower grades but the you would write it like 8÷2*(2+2) so for the rest of us 8/2(2+2)

This channel or when maths goes populist 🙄

Mr Presh, i saw a man with binoculars. Its ambiguous. Thats english. But maths is a precise language. 8÷2(2+2) = 4×4 =16 using bodmas. Using pemdas 8÷2(2+2) = 8÷2×4= 8×4÷2=32÷2 =16. I dont know much maths but i am trying to use logical thinking. Thanks. Great watching your videos

8/2(4) still hasn’t resolved the parentheses.

Why are you talking about interpretation on mathematics? If someone cannot understand that this is 16 because 8/2*(2+2) is a simple form of a*(b+b) where a=8/2 and b=2 you have to go back to basics my dude.

So what is 2π/2π? 1 or 9,87? What is 2x/2x? 1 or x²? Without multiplication sign it is obviously 1 in both cases.

soooo.... you ignored the distributive property?

I'm doing my own research on this topic and seeing someone ignore that point (with all the knowledge you have) is a bit disappointing.

The correct answer is still 1 today. Just let x = the value in parentheses and simplify. You get 8 ÷ 2x which equals 4/x. Since x = 4 the answer is 1. If you want to end up with 16 you need to write it 8 ÷ 2 × (2 + 2). The implicit multiplication (as in 2x or 2(2 + 2) takes priority over the division. Look at any engineering or physics text book and you'll see that they do implicit multiplication before division.

The answer is 1 😂 the equation is 8/2(2+2) not 8/2x(2+2). Even after you add 2+2 the 4 is still in parentheses 🤭. Check the answer by using distributive property. Times 2 into (2+2) because the equation is 2(2+2) not 2x(2+2). You get (4+4) = 8. 8/8 is 1. Yes it’s left to right but only when there is a symbol in between ALL numbers.

The format of the problem is incorrect because it is using two different formats. is this algaroba or standard arthermic each has it own format and the problem break that. so thater are twn answers both are correct since the problem is unclear as to how to work it

The answer is without a doubt 16. Why? Because when you have multiplication and/or division you start at the left. In this case, that is the division.

I thought multiplication was first before division 😅

16

Please excuse my dear aunt sally

I am sticking with 1, screw the new math

So I got 1 from this question, I don't understand why we divide before multiplying because that's not the right order of operations in PEMDAS.

I was taught PEMDAS but was taught multiplying takes precedent over division ( hence PEMDAS not PEDMAS) so I got 1 instead of 16

In school, I was tought that displaying multiplication as a number next to parenthesis is trated as putting parenthesis around the whole multiplication: 2(2+2)=(2(2+2)). I graduated highschool almost 1 and a half years ago. So, in that case, 8÷2*(2+2) would equal 16, but 8÷2(2+2) would equal 1. I put 8÷2x in google, and it took 8÷2 first making 4, then it put it together as 4x, so I decided to search up the specific problem bringing me here.

anyone who says 8 hasnt learnt that no Symbols in between a number and a parentheses mean multiplication

what would the answer be if it was 8/2(4). Where would bodmas be applied in this situation?

It’s 16 yall

It’s 16 PEMDAS

8/2(2+2) Parentheses first BECAUSE OF (P) EMDAS
8/2(4) Now we take another look at PEMDAS. We work to right because of multiplication and division are next. Since from left to right Division is first we do:

8/2 which equals 4 now we gotta do the multiplication:

4(4)= 16

This for the people who Don’t know PEMDAS:

P is for Parentheses
E is for Exponent’s
M is for Multiplication (If division is on the right and Multiplication is on the left solve for Multiplication)
D is for Division (If Multiplication is on the right and Division is on the left solve for Division)
A is for Addition (If subtraction is on the right and Addition is on the left solve for Addition)
S is for Subtraction (If Addition is on the right and Subtraction ai on the left solve for Subtraction)

PEMDAS it spells. Alr took me 15 minutes to make this comment Hope Y’all Enjoy :)

People who PENDAS only 5th grade

I say 1 because I’d do everything in the parentheses first then divide, but apparently the correct answer is 16 if you do left to right (parenthesis, divide, then multiply)🤷🏼

You are incorrect in the way you are applying the rules. Simply adding 2+2 does not clear the parents until you perform the indicated operation.
If the equation was 8 divided by (4+4) what would your answer be? 2(2+2)=(4+4)
Therefore the equation is 8 divided by (8)=1

It’s actually 16

Its..its…16

It’s 16 this is common math

in the end, its not a real question, your stuck in the matrix

The biggest problem you are creating is not knowing what an identity is. 2(2+2) is an identity which MUST be solved on it's own. If there is no number it shall be designated as 1 otherwise it has no value at all.

sam is the kind of guy to raise his hand and get the question wrong

U think u know

U don't know maths

Answer is 1

Setzt gleich das Malzeichen und das Ergebnis hat jeder raus.
Ohne Malzeichen hatte das früher eine andere Bedeutung.
Da gab es noch Klammerrechnungsregeln die heute keiner mehr kennt.z.Beispiel Ausklammerregel.
Diese Regeln werden jedoch in der Programmierung angewandt.
Diese Aufgabe ist aus der Programmierung heraus genommen und gehört einfach nicht in die Öffentlichkeit.
Auch wenn sich alle Mathematiker aller Welt mit Regeln beschäftigen. Aber die Klammerregeln von früher einfach nicht kennen oder diese nicht Anwenden.
Das weglassen des Malzeichen hatte .eine Bedeutung und war keine Faulheit der Menschen beim schrieben der Aufgaben.
Früher war 2x ; 2x = 1

Heute ist das nicht so.
2x : 2x = x Quadrat
Grund ist das einfügen des Malzeichen nach den : 2×x
Oder man muss eine Klammer setzen (2x) dann kommt auch 1 raus.
Die Menschen von früher hatten die Mathematik besser in Griff als wie heute es gelernt wird.
Aber Chaos ist heute mehr angesagt wie früher. Das legt sich auf sehr viele Lernbereiche..

Kids from tiktok learning what's the math operations order is💀
How ridiculous.

Interesting that someone changed the rules in his head, and some calculator programmers (and, surprise, gooogl) also forgot notation and order of operations. 2(2+2) is eight, simply getting rid of parens : 2 4 is meaningless. The implied multiplication must be done to sensibly evaluate the term. . Separating and adding function symbols simply destroys the meaning of the expression
Answer is 1 (one).

Never thought I'd be willingly watching math tutorials after graduation.

Where did you get your degree? This is clearly wrong. If you have 2 divide sign 2a would you interpret that as (2/2)*a so just a or would you understand that as 2/(2*a) or 1/a? Clearly the latter. Implicit multiplication has a higher priority in this case than explicit multiplication. If you have 2 divide sign 6 you could factor 6 into 2 and 3 and letting 3 be represented by a, it is clear the latter interpretation is more accurate. Also most calculators do not agree about this. It is mostly TI calculators that use this strict implicit/explicit multiplication blindness. This is spreading mathematical illiteracy.

I leant that, to solve this equation, you needed to multiply the number outside the parenthesis with the numbers inside BEFORE you do the divisions
That would mean:
8 / 2 (2+2) equals 8 / (2*2 + 2*2), or 8/8

You have just destroyed years of Algebra for me. Can you deny that 8÷2(2+2) = ? is the same as 8÷2(x+x) = y ??? Now solve for y when x = 2 Would you then say y = 8÷(2x+2x) ? So y = 8÷(4x) and thus y = 8÷(8) when x = 2 and thus the answer is 1 ???