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What is 48÷2(9+3)?

Please, look at the picture?


Which calculator shows true result and how to prove achieved result?

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marked as duplicate by Asaf Karagila, Qiaochu Yuan Jun 28 '12 at 12:34

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

correct answer is 9 –  Aang Jun 28 '12 at 12:26
@avatar why you think so? can you proove your suggestion? –  Tural Aliyev Jun 28 '12 at 12:28
Why the hell I'm getting downvotes? –  Tural Aliyev Jun 28 '12 at 12:34
@Downvoters Why are you downvoting this post? –  user38268 Jun 28 '12 at 12:35
@BenjaLim: Apparently there was a period some time (more than a year) ago when the site was overwhelmed with variants of this question. Seeing it again must have been a traumatic experience for someone. –  Henning Makholm Jun 28 '12 at 12:48

3 Answers 3

Despite every personal belief, a notation like $a/b(c+d)$ is ambiguous. At school I learned that this should be $$ \frac{a}{b}(c+d), $$ but even in research papers somebody could read $$ \frac{a}{b(c+d)}. $$

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The reason why calculators are giving different results is because one is calculating,

$$\frac{6}{2\cdot(2+1)} = 1$$

while the other is calculating,

$$\frac{6}{2}\cdot(2+1) = 9$$

Depending on what you want to calculate, you could obtain different answers.

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when two operations have same precedence, then the operations are done from left to right.So here, division is done first and then multiplication.This is just a convention.Without this, this expression is ambiguous.

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