8÷2(2+2) Answer FINALLY REVEALED | Viral Math Problem

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[erikydelauritsen]

I disagree.
The question - or rather the notation - is ambiguous.
There is no rule in math that says multiplication has to be done before division. Actually they have equal priority.
You use your preferred interpretation of the notation, and that's your misconception.

[tonyvinson]

There is good reason to rewrite the equation. Rewriting the equation in any other correct form proves the answer to be 8÷2(2+2)=1. Thus proving that you MUST multiply 2(4) before moving on to EDMAS.

Also helpful is:

a÷b(b+b)=
OR
a÷b(c+d)=

[zeadux]

This guy is right. If you disagree you have clearly never heard of BIDMAS/BODMAS/PEMDAS. You expand brackets (or parentheses) first then divide so it is 1

[nickjunes]

I would argue that it is not ambiguous because the decision to not write a multiplication sign and instead write the group as a term with a coefficient strongly suggests that it is one term and belongs wholly in the denominator. Therefore the whole right side should be completed as the denominator and the answer is 1.

[tonyvinson]

8÷2(2+2) is very different from 8÷2×(2+2).

8÷2×(2+2)=
8÷2×4=
4×4=16

8÷2(2+2)=
8÷2(4)=
8÷8=1

8 ÷ 2(2+2) is similarly:
8 ÷ 2b
8 ÷ 2b = 8 ÷ 2b

8 ÷ 2 x (2+2) is similarly:
8 ÷ 2 x b
8 ÷ 2 x b = 4 x b

[alexy]

To me this is not the issue with order of operations or going left to right or not. The issue is how we interpret 2(2+2) part. Is it a monomial or binomial. Do you interpret A(B+C) = AB+AC or A*(B+C). If you believe It should be AB+AC then the law of distribution says it's monomial and the answer should be 1. It's the law! If you believe it should be A*(B+C) then that equation just became binomial and the law of distribution does not apply. In this case, you will get 16.

[tonyvinson]

8÷2(2+2)=1 always and forever. The parentheses Must be removed by multiplication first. You MAY NOT magically erase parentheses and then multiply. You MUST multiply 2(4) to resolve the parentheses before moving on to EDMAS

[petepalmere]

Oh, My! The same old tired arguments/justifications for both sides. Yes, one must decide what is in the denominator/divisor: either the 2 outside the parens or the whole of the sub-expression 2(2+2). The side relying on PEMDAS sees only the 2 as the divisor. However, PEMDAS in this case has been misconstrued and misapplied. Everyone agrees that according to PEMDAS the parentheses must be resolved first, but they see only the operation inside the parens and then move on to other operations. That is where the problem comes in. In order to resolve the parentheses one must complete the distribution of the 2 outside the parens to the contents of the group. The sub-expression 2(2+2) is the factored version of (2*2 + 2*2), and as such the 2 outside the parens is the common factor (GCF) and it is essential to the value of the sub-expression; i.e. to remove it by first using it in another operation destroys the value of the expression. A factored expression relies upon the terms inside the parens multiplied by the common factor in order to preserve and remain true to its value. 2(2+2) = 8, (2*2+2*2) = 8, and if the latter were to be substituted in the viral expression it would most certainly solve to 1. Now before someone says that is changing the expression know that certain properties of numbers apply equally to algebra and mathematics, so one may use the equality of substitution without changing the result. Also, consider that we may also use commutation to rearrange the subexpression as in 8÷(2+2)2, and if solved any other way than using distribution the viral expression would solve to 4 not 16. Using distribution always results in one answer. Note that this is not mere juxtaposition as (bc), but even then most professionals outside of education would solve a÷bc as a÷(bc) and not (a÷b)c. I can show plenty of sources for this including textbooks.

[petercoldwell]

Plugging the equation into my scientific calculator yields an answer of 16

[chrisc]

I always ask the question:
Express this statement as an equation!
We have 8 pizzas and we want to divde them equally among 2 groups of people, each group has 2 boys and 2 girls! How many pizza does each person get?
The equation would be:
8÷2(2+2)
And logically without any calculation we would know that eack person would get 1 pizza, not 16!
Hence 2(4), implies multiplication but it not the same as 2x4.
Juxtaposition takes priority!

[antebellum]

In order to rewrite the equation the way you did would require the right part of it to be in brackets, otherwise you can't just put the whole thing as the denominator. The way you should solve this is brackets first, so 8÷2(4), then, since division and multiplication are of the same precedence, you solve the equation left to right, as in, you do the operations in the order they appear in the equation. Therefore the next step is to divide 8 with 2. Then all that's left is to multiply 4 with 4 and you get 16.

[gilbertocuebas]

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Do you multiply or divide first when using PEMDAS?

Multiplication and division are performed as they appear from left to right. For example, in the following expression, 6 x 2 ÷ 3 x 4, we would perform multiplication, then division, then multiplication.

And bodmas is the same.

Your wrong it's 16

[FadedBlack]

Most mathematicians are saying the answer is 16 and technically 1 so im going with 16

[michaelsolo]

The answer is unquestionably 16. Multiplication and division have equal priority and the order is performed from left to right, which in universally accepted in math. In this case, division is performed first. You have added to the ambiguity.

[richardking]

Parentheses come first, then, as multiplication and division are of equal rank the rule is to proceed from left to right, the division and then the implied multiplication. In which case the answer is 16.

[beatnikcafe]

If the problem is written ambiguously you need to assume the problem is to be solved left to right not as a fraction. If the author of the math problem is specifically trying to get the answer 1 they would simply write it as a fraction to start. You don’t even need to make an assumption to reach 16 but you do need to make an assumption to reach 1. So logically, that is the wiser approach.

[JensMertens-tvsl]

Americans be like "it's 1"
The rest of the world be like "ooh, so you did 8:[2(2+2)]

[jollyjoven]

You are correct. The answer is 1.

Proof Distributive law and grouping comes first before PEMDAS.

8 = 8

8 = 4 + 4

Factoring
8 = 4 + 4 = 2(2 + 2)

8/8 = 1

8 / (4 + 4) = 1

Factoring.
8 ÷ 2(2 + 2) = 1

8 ÷ 2(4) = 1 8/8 = 1 My answer

[shanomac]

Well my ginger friend, you're wrong. The answer is 16, not 1. If the equation was written as a fraction, then the answer is 1. When written the way it is, you don't convert it to a fraction, you do the math in the correct order of operations as it is seen and get 16. Converting the problem to a fraction changes the outcome dramatically and is not how the problem was intended to be solved.

[clmsentertainment]

Actually it’s extremely ambiguous. This used to be in EVERY different publishers’ curriculum I’ve used over the past 27 years, and may still appear in some and 16 would be the expected solution. AND most importantly it used to appear on the state standardized test and 16 would also be expected. Argue whichever way you want, but these two sources wanted the PEMDAS approach of 16 and not juxtaposition of 1.
Interesting as well is that if entered as written (not changed to fit any other narrative) Microsoft Excel does return 16, as do ALL scientific calculators, unless it rewrites it for you as a fraction. In addition ChatGPT will also return 16, but summarize its solution with just how ambiguous it really is. Written as code, well coders will bug out with this because code has zero room for ambiguity. 😂 Coded as written will produce an error. These are facts. This is not an argument for or against 1 or 16. Just facts of how this expression solutions will be returned and/or expected.