48 questions linked to/from What is 48÷2(9+3)?
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### 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 ...
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### 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 ...
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### 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 ...
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### 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 ...
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### 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.
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### 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?
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### 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 ...
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### 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?
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 ...
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 ...