$6÷2(1+2)=$?
$6÷2\times3=9$
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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Writing an equation like this is very inconvenient. Consider writing it with fractions instead. – joeyg Feb 21 '18 at 12:44
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3How is this linear algebra? Also - those two expression's aren't even the same, so both are correct... – Andrew Li Feb 21 '18 at 12:47
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is this $$6:2(1+2)$$? if so then the result is $9$ – Dr. Sonnhard Graubner Feb 21 '18 at 12:48
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3@Dr. Sonnhard Graubner you mean $6:2(1+2)$ – 1123581321 Feb 21 '18 at 12:50
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What you are asking for is $6:2\times 3$ – 1123581321 Feb 21 '18 at 12:55
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@Dr.SonnhardGraubner, why is this the correct way? We can't distribute the parentheses content instead? – deldev Feb 21 '18 at 12:56
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3See the following: What is 48÷2(9+3)? or 6/2*(1+2) is 1 or 9? – projectilemotion Feb 21 '18 at 12:57
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Which is the correct answer depends on whether the intended interpretation was $$6÷(2(1+2))$$ or $$(6÷2)(1+2)$$ There would not be the slightest amount of confusion if it were written $$\frac{6}{2(1+2)}$$ or $$\frac{6}{2}(1+2)$$
Wouter
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so, the first equation is wrote from wrong way? we can say that is an invalid equation? – deldev Feb 21 '18 at 13:04
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The first equation is written in a way that is not optimized for clarity. It may even be a deliberate trick question. Even if careful application of operator precedence allows you to unambiguously assign a value, how confident are you that whoever wrote it was as careful as you are? – Wouter Feb 21 '18 at 13:09
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Go here to answer your question. Because answers that just provide links are discouraged — and for good reason too — I will give you some insight on how it approaches the problem. The link takes you to a YouTube video which is entirely dedicated to explaining the correct answer to the equation, $$6\div 2(1 +2) = \, ?$$ It uses an order-of-operations technique called PEDMAS / BODMAS such that, $$\begin{array}{cc} \mathbf{PEDMAS} & \mathbf{BODMAS} \\ \hline \\ \ \ \ \ \ \ \ \ \ \mathrm{Parentheses} \quad \ \ \diagup &\mathrm{Brackets} \\ \ \ \ \ \ \ \ \ \ \ \mathrm{Exponents} \quad \ \ \ \diagup &\mathrm{Orders} \\ \ \ \ \ \ \ \ \mathrm{Multiplication} \quad — &\mathrm{Division} \\ \ \ \ \ \ \ \ \ \ \ \ \ \mathrm{Addition} \quad \ \ \ \ — &\mathrm{Subtraction} \\ \end{array}$$
Mr Pie
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