6/2(1+2) Okay, so I've come across this math problem: 6/2(1+2). At first glance, it seems straightforward, but I remember hearing that these kinds of problems can be tricky because of the order of operations. Let me try to work through it step by step. First, I need to recall the order of operations, often remembered by the acronym PEMDAS—Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Let's apply that here. The expression is 6 divided by 2 multiplied by (1+2). The parentheses should be addressed first. Inside the parentheses, 1 plus 2 equals 3. So now the expression simplifies to 6 divided by 2 multiplied by 3. Now, according to PEMDAS, after handling the parentheses, we do multiplication and division from left to right. So starting from the left: 6 divided by 2 is 3. Then, multiplying that result by 3 gives 9. That seems straightforward. But wait, I've heard some people argue that when there's a number directly next to parentheses, like 2(1+2), that multiplication should be done before division. If that were the case, then 2 multiplied by 3 equals 6, and then 6 divided by 6 equals 1. But isn't that contradicting the left-to-right rule for multiplication and division? Let me check some examples or official math rules to clarify. According to standard mathematical conventions, multiplication and division have the same priority and should be performed from left to right. So in 6/2×3, you do 6 divided by 2 first, which is 3, and then multiply by 3 to get 9. The absence of an explicit multiplication sign doesn't change the order; it's still considered multiplication and follows the same left-to-right rule. However, the confusion might arise because when a number is adjacent to parentheses, people might associate it more closely, thinking it's part of a single term. But strictly speaking, unless there's a fraction bar or additional parentheses indicating otherwise, the left-to-right rule applies. To test this, if the expression were written as 6/(2(1+2)), then the answer would indeed be 1, because the denominator would be 2 multiplied by 3, making the entire denominator 6, and 6 divided by 6 equals 1. But without those extra parentheses around the denominator, the original expression is 6 divided by 2, multiplied by 3. Another way to look at it is by using fractions. If we write it as 62×(1+2) 2 6 ×(1+2), that's 62×3=3×3=9 2 6 ×3=3×3=9. However, if it were 62(1+2) 2(1+2) 6 , then it would be 66=1 6 6 =1. The placement of parentheses changes the interpretation. So in the original problem, since there are no parentheses around the denominator, the correct answer should be 9. The key takeaway is that the order of operations must be strictly followed, and the presence of adjacent parentheses doesn't inherently prioritize that multiplication over division unless parentheses explicitly group them together. I think I've got it now. The answer is 9 based on standard order of operations. The confusion comes from how the expression is written and the assumption that adjacent numbers to parentheses take precedence, but according to PEMDAS, it's left-to-right for multiplication and division once parentheses and exponents are handled. The expression 6/2(1+2) can be solved using the standard order of operations (PEMDAS/BODMAS): Step-by-Step Explanation:Parentheses/Brackets Solve the expression inside the parentheses first: (1+2)=3 (1+2)=3 Now the equation simplifies to: 6÷2×3 6÷2×3 Division and Multiplication (Left-to-Right) Division and multiplication have equal precedence, so resolve them from left to right. Divide 6 by 2: 6÷2=3 6÷2=3 Multiply the result by 3: 3×3=9 3×3=9 Final Answer: 9 9
Why the Confusion? Some interpret 2(1+2) as a single unit (denominator), assuming implicit multiplication takes priority. However, strict PEMDAS rules prioritize left-to-right order for division and multiplication unless parentheses explicitly group terms. Clarification: If written as 62(1+2) 2(1+2) 6 , the answer would be 1. Without extra parentheses, 6/2(1+2) resolves to 9. Key Takeaway: Always follow left-to-right order for operations of equal precedence, and use parentheses to avoid ambiguity.
6/2(1+2) = 3/4 The server is busy. Please try again later.
不知道现在啥规则
Elon会说 答案是 6/23，因为他会创新
严谨的话乘号是不能省略的。
https://www.reddit.com/r/AskEngineers/comments/5icxyd/whats_the_actual_correct_answer_for_6212/?rdt=63061
括号优先，但是2在括号外面，所以除法做完再做乘法
呃，所以马是嘲笑海淀不会出题？
括号里面的优先。 括号外面的按照顺序先乘除后加减
6/2(1+2) Okay, so I've come across this math problem: 6/2(1+2). At first glance, it seems straightforward, but I remember hearing that these kinds of problems can be tricky because of the order of operations. Let me try to work through it step by step. First, I need to recall the order of operations, often remembered by the acronym PEMDAS—Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Let's apply that here. The expression is 6 divided by 2 multiplied by (1+2). The parentheses should be addressed first. Inside the parentheses, 1 plus 2 equals 3. So now the expression simplifies to 6 divided by 2 multiplied by 3. Now, according to PEMDAS, after handling the parentheses, we do multiplication and division from left to right. So starting from the left: 6 divided by 2 is 3. Then, multiplying that result by 3 gives 9. That seems straightforward. But wait, I've heard some people argue that when there's a number directly next to parentheses, like 2(1+2), that multiplication should be done before division. If that were the case, then 2 multiplied by 3 equals 6, and then 6 divided by 6 equals 1. But isn't that contradicting the left-to-right rule for multiplication and division? Let me check some examples or official math rules to clarify. According to standard mathematical conventions, multiplication and division have the same priority and should be performed from left to right. So in 6/2×3, you do 6 divided by 2 first, which is 3, and then multiply by 3 to get 9. The absence of an explicit multiplication sign doesn't change the order; it's still considered multiplication and follows the same left-to-right rule. However, the confusion might arise because when a number is adjacent to parentheses, people might associate it more closely, thinking it's part of a single term. But strictly speaking, unless there's a fraction bar or additional parentheses indicating otherwise, the left-to-right rule applies. To test this, if the expression were written as 6/(2(1+2)), then the answer would indeed be 1, because the denominator would be 2 multiplied by 3, making the entire denominator 6, and 6 divided by 6 equals 1. But without those extra parentheses around the denominator, the original expression is 6 divided by 2, multiplied by 3. Another way to look at it is by using fractions. If we write it as 62×(1+2) 2
6 ×(1+2), that's 62×3=3×3=9 2
6 ×3=3×3=9. However, if it were 62(1+2) 2(1+2)
6 , then it would be 66=1 6
6 =1. The placement of parentheses changes the interpretation. So in the original problem, since there are no parentheses around the denominator, the correct answer should be 9. The key takeaway is that the order of operations must be strictly followed, and the presence of adjacent parentheses doesn't inherently prioritize that multiplication over division unless parentheses explicitly group them together. I think I've got it now. The answer is 9 based on standard order of operations. The confusion comes from how the expression is written and the assumption that adjacent numbers to parentheses take precedence, but according to PEMDAS, it's left-to-right for multiplication and division once parentheses and exponents are handled. The expression 6/2(1+2) can be solved using the standard order of operations (PEMDAS/BODMAS):
Step-by-Step Explanation: Parentheses/Brackets Solve the expression inside the parentheses first: (1+2)=3 (1+2)=3 Now the equation simplifies to: 6÷2×3 6÷2×3 Division and Multiplication (Left-to-Right) Division and multiplication have equal precedence, so resolve them from left to right. Divide 6 by 2: 6÷2=3 6÷2=3 Multiply the result by 3: 3×3=9 3×3=9 Final Answer: 9 9
Why the Confusion? Some interpret 2(1+2) as a single unit (denominator), assuming implicit multiplication takes priority. However, strict PEMDAS rules prioritize left-to-right order for division and multiplication unless parentheses explicitly group terms. Clarification: If written as 62(1+2) 2(1+2)
6 , the answer would be 1. Without extra parentheses, 6/2(1+2) resolves to 9. Key Takeaway: Always follow left-to-right order for operations of equal precedence, and use parentheses to avoid ambiguity.
6/2(1+2) = 3/4
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虽然我也是这么想这么算的、但是被你这么一说忽然就差点喷饭了…..
哈哈哈烧疯了
我贊成緊貼著括號的先算
括號看著就煩 先去掉再說
= 6 over 2*3
= 1
那年
春天晚上
鍵盤黏答答的
一個做題家
看到了省略乘號的括號
發覺 躲在 九 上面的左 括號 跟躲在玲上面的右括號
太難打了 為了接下來數學式的簡單化
決定 括號旁省略的乘號 先算
评论里应该有介绍怎么算等于7的
这怎么可能是海淀出的题？笑死了
是感觉有些年头了。
chatgpt 的答案是 9
全网说正确答案是1，那是美国的全网。按中国教育，中国人不可能得出1的答案。
竟然有28个赞！这是华人论坛啊。 按严格数学，就是9.省略乘号在算术里确实有点奇怪，但能缺省的也只有乘号。 得1的是认为乘法比除法优先级高吗？
有人说 省略了乘号的 有高优先级。 一点道理没有。
中国的试题里经常这种让人一不小心就做错的题，如果在国内上过初中，看到这样的题就会立刻警戒，不会做错
看按不按照之前的规则啦，按照的话，就是9。要不然的话，随便吧。。6都不一定是6，有啥好算的，躺平吧。。
1/9a,你觉得是1/9 *a 还是1/（9a）？
这个是1/（9a).代数和算术不一样啊 算术一般不应该省略乘号，题目省了，还是题目出得不严谨了
不是一般不省略，而是算术不可以省略，但是省略乘号出题人的思路就是代数式的整体思路。得出9的正确性肯定不比得出1高