48 questions linked to/from What is 48÷2(9+3)?
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### Do values attached to integers have implicit parentheses?

Given $5x/30x^2$ I was wondering which is the correct equivalent form. According to BEDMAS this expression is equivalent to $5*\cfrac{x}{30}*x^2$ but, intuitively, I believe that it could also look ...
46k views

### The equation: 18 ÷ 3 ( 5 - 4 + 1 ) = 3 or 12? (order of operation) [duplicate]

the question might be simple to solve but when entered in google search as: 18/3(5-4+1) you get 12! However, If it was done using the order of operation it is ...
52k views

### Evaluating $6^2\div 2(3)+4$: is the answer $10$ or $58$? [duplicate]

Evaluating $$6^2\div 2(3)+4$$ I understand how people are getting $10$ but I am getting $58$ because I am not distributing the $2$ to the $3$ inside the parentheses. Is that correct?
5k views

### 6/2*(1+2) is 1 or 9? [duplicate]

Possible Duplicate: What is 48÷2(9+3)? Please, look at the picture? Which calculator shows true result and how to prove achieved result?
1k views

### Order of Operations: What is value of the $6/4*4\;$? [duplicate]

Possible Duplicate: What is 48÷2(9+3)? My friend asked me value of expression 16/4*4. So what is value of 16/4*4? Is ...
7k views

### Casio Calculators Give 2 Different Answers [duplicate]

Possible Duplicate: What is 48÷2(9+3)? Sorry if this has already been asked, my searches were fruitless... There's been a buzz lately about the different results given by two different ...
4k views

### What does this equal? $6\div 2(1+2)$ [duplicate]

How do you figure out what $$6\div 2(2+1)$$ is equal? I get $9$, but some people say $7$ or even $1$ and I don't know how they get that? What does it really equal?
8k views

### Do we divide first or multiply first if we don't have any other information [duplicate]

Possible Duplicate: What is 48÷2(9+3)? 6/2*(1+2) is 1 or 9? order of operations division Apparently a very simple question but My question basically is, whether the answer of the ...
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### Simple BODMAS question including bracket expansion [duplicate]

I am trying to understand what is seemingly basic arithmetic that is causing a divide amongst my colleagues $$8÷2(2+2)$$ To me respecting the order of operations it would appear the answer is <...
113 views

### What is 6%2(2+1) and why? [duplicate]

This one is a classic, but never-the-less, it's been bothering me since I've read several contradicting answers, yet none of them has convinced me completely. So, how do I properly and correclty ...
115 views

### Simple algebra, but causing arguments in a home school co-op discussion. $6^2/2(3)+4$ [duplicate]

Trying to get some human opinion on this problem. Very simple equation, but it is eliciting quite the controversy. I have executed it in Ruby, Java, C#, Javascript, Python, Perl and Excel with the ...
109 views

### Proof of Equality [duplicate]

Possible Duplicate: What is 48÷2(9+3)? I was having a heated debate with my colleague and we can't agree on the answer to this question: Does 6÷2(2+1) equal 9 or does it equal 1?
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59 views

### Simple math question [duplicate]

6/2(2+1) = 9 or 6/2(2+1) = 1 I am not really sure which is the correct answer. I think the latter is much more correct than the former. If we assume the property of distribution then the latter can be ...
30 views

### What is 6/2(3), 1 or 9? According to PEMDAS M > D so it should be 1! [duplicate]

Pretty much what question says. 6÷2x3 = 1 or 6÷2x3 = 9 Given PEMDAS, I'd bet ...
29 views

### Order of muliplication with or without times sign [duplicate]

Is 6:2(2+1)=1 or is 6:2(2+1)=9 ? I can't find any information regarding the order of multiplication without a sign. I'm sure that 6:2*(2+1) is 9, but I'm not sure about this.
2k views

### Incorrect notation in math?

Does math have an incorrect notation / syntax? I don't mean writing misaligned notation (google), but when you take something like a number to powers to powers to powers, $${{2^2}^2}^3$$ (I was told ...
50k views

### 8 / 4 (4-2) = ? What is answer? [duplicate]

What is answer for 8 / 4 (4-2) = ? My answer is 4. But some says it's 1. And arguing each others. They even using some calculators for prove them. Even those calculators showing both 1 and 4 as ...
740 views

### What is $9-5+2$? [closed]

What is 9-5+2 ? 9-5+2 = 6; //With Calculator 9-5+2 = 2; //Using BODMAS If you evaluate from the right it give you "2" which follows the law: Brackets-Of-...
798 views

### What we're never taught explicitly

I would like to make a complaint really. School math(s) can be the most boring way to learn: sitting down and rote learning binomial expansion or the volume of a cylinder is just not interesting. It ...
860 views

### What is the “status” of the rule that multiplication precedes addition.

What is the source, or "status", of the rule that multiplication is performed before addition? Is it a definitive property of $\mathbb R$, a property that can be derived directly from the definition ...
2k views

### What is the standard interpretation of order of operations for the basic arithmetic operations?

What is the standard interpretation of the order of operations for an expression involving some combination of grouping symbols, exponentiation, radicals, multiplication, division, addition, and ...
643 views

### How to tell where parentheses go in functional notation?

The professor gave us a function $f(z) = \ln r + i \theta$ (this is for a complex analysis class). He doesn't like answering students' questions and there's no assigned textbook so I don't know where ...
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### Is “applying similar operations from left to right” a convention or a rule that forces us to mark one answer wrong? [duplicate]

I saw this photo on my social network. The ambiguous expression $6\div2\times3$ yielded 2 different answers. The difference is the order of operations. If the division's done first then the answer ...
2k views

### Priority of parentheses and brackets in basic arithmetic.

Wolfram alpha is giving inconsistent results to this problem: When I enter: 16÷2( 8-3(4-2) )+1 the result is 17. When I enter: 16÷2[ 8-3(4-2) ]+1 the result is 5. and 16÷2*[ 8-3(4-2) ]+1 brings ...
918 views

### Confusion notation: $1\div mn$ or $1 \div m \times n$? [closed]

Consider the expression $1\div (mn)(n^2)$. It should be understood that, in simplifying the above expression, one should get $$1\div (mn)(n^2) = 1 \div (mn) \times (n^2)=\frac{n^2}{mn}=\frac{n}{m}.$$ ...
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### Can $7 + 4 \times 8$ have multiple answers?

My textbook says evaluate $7 + 4 \times 8$ in a revision course. Is it $7 + 4$, then multiply by 8 or $7 + (4 \times 8)$ ? The calculator automatically gives me the correct answer, so I am going to ...
108 views

### 10 + 67 × 2= ?, This question is causing a ruckus among my friend [closed]

Help! How would you solve 10 + 67 × 2? I solved by putting a bracket between 10 and 67. Then multiplying by 2 Like this (10 + 67)2 = 154 However, others insist it's 144 and I'm wrong.
180 views

### order of operations division

Very dumb question: What is the order of operations in the following: PEMDAS a/b+c = a : b + c (where ":" is the division symbol) 7/1+6 or 7:1+6 in the example below is it 1 or 13?
59 views

### What the solve for this sentence?

$6÷2(1+2)=$? $6÷2\times3=9$ We need to solve first the parentheses or we can distribute this way: $6÷(2\times1+2\times2)=$? $6÷(2+4)=$? $6÷6=1$ What is the correct? $9$ or $1$?
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### Ambiguity with parentheses multiplications [closed]

I was recently shown the equation $6 \div 2(1 + 2) = ?$, and it was disputed whether this equation equals $1$ or $9$. To solve for $1$: $$6 \div 2(1 + 2) \\ 6 \div 2(3) \\ 6 \div 6 \\ 1$$ To ...
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### Precedence of $\times$ and $\cup$.

In topology, there is a very strong need of describing subsets of some product $X\times Y$ by means of unions and products. For example, this is a very convenient way of describing subsets of the ...
83 views

### Why got multiplication and division higher priority than addition and subtraction? [duplicate]

Possible Duplicate: What is the “status” of the rule that multiplication precedes addition. I know it's some kind of axiom, that "1 + 2 * 3" is the same as "1 + (2 * 3)", but who ...
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### Order of operations for simple sum [duplicate]

6÷2(1+2)? according to PEDMAS, is it 1 or 9? Is the parenthesis operation simply the addition of 1 and two or is it only complete after multiplication?
40 views

### Basic error in order of operations [duplicate]

I know this is a very serious place to put this basic question. But I didn't find an explanation for the same. I know that $ab/ab=b^2$ for all reals with $a\neq0$. But some of my students believe ...
47 views

### How to Justify the way to solve “A / B * C”

this may be a silly (and duplicated or triplicated) question, but I don't know how justify one or other way to solve this: $A/B*C$ It is clear that: $(A/B)*C \neq A/(B*C)$ One I have heard some ...
31 views

### Order of operations when using the ÷ symbol.

I always write equations using fractions to avoid confusion, but my textbook uses the ÷ symbol. This question asks to simplify and write the equation using positive exponents: $$x^{-1/3}y÷ xy^{-1/3}$$...
24 views

### Does an inline algebra expression with multiplication in the dividend imply a quantity?

Here's a trivial one. Given the inline algebra expression (2a + b) / 3c imply that the 3c is a quantity, and that the order of operations should be equivalent to (2a + b) / (3c) ? Or should it be ...
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### Is 'O' in BODMAS really for 'of'?

We were trying to solve a BODMAS question (with many solutions like always) when I came across this link. https://www.mathsisfun.com/operation-order-bodmas.html For the entire life, I have studied (...