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Image #113,117
Uploaded by Don Apr 11, 2011 at 06:50PM EDT
Origin Entry: 48÷2(9+3) = ?
File type: jpg
Resolution: (753px x 193px)
File size: 18.2 KB
![Best Answer - Chosen by Voters atics is supposed to provide you with single, definitive answers. However, in Mathem this case, it does not. I really scoured the internet and countless textbooks for the Phyxiusproper answer and have made inquiries with few people I know whom I venerate as AEnimus some of the greatest minds that I have had the luxury of meeting and the answer isn't as definitive as you would hope. Sadly, the real answer is that both sides are correct to a point. (...and it pains me to even remotely admit that anything outside of 288 could be the answer). Position 1: The Order of Operations: This stance states that since the standard order of operations puts multiplication and division on the same rank, the equation can be read as (48 2)(9+3). This reigns with truth as 48+2(9+3) is the same as 48+2*(9+3). Using the standardized left-to-right notation, the answer can be nothing outside of 288. This left-to-right concept is indicative of "PEMDAS" that we all learned in grade school Position 2: The Distributive Property: This stance states that multiplication through juxtaposition, being a commonplace concept, naturally makes a parenthetical implication around grouped numbers. Thus, the equation appears as 48+[2(9+3)]. This technique is correct as well. However, this mak es the answer 2.](https://i.kym-cdn.com/photos/images/list/000/574/344/ec1.png "ec1.png")
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![Mnemonics [edit] Mnemonics are often used to help students remember the rules, but the rules taught by the use of acronyms can be misleading. In the United States, the acronym PEMDAS or "Please Excuse My Dear Aunt Sally' is common. It stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. In other English speaking countries, Parentheses may be called Brackets, or symbols of inclusion and Exponentiation may be called either Indices, Powers or Orders, and since multiplication and division are of equal precedence, M and D are often interchanged, leading to such acronyms as BEDMAS, BIDMAS, BIMDAS, BODMAS, BOMDAS, BERDMAS, PERDMAS, and BPODMAS. ese mnemonics may be misleading, especially if the user is not aware that multiplication and division are of equal precedence, as are addition and subtraction. Using any of the above rulesi he order "addition first, subtraction afterward" would also qive the wrong answer](https://i.kym-cdn.com/photos/images/list/000/113/145/PEMDAS.jpg "PEMDAS.jpg")
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Uploaded Apr 11, 2011 at 06:50PM EDT
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Don
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