@eyunu yz is equal to y*z. but when they go into factor, they are not equal. x/yz is not equal to x/y*z. The first one, x/yz = x/(y*z), however, x/y*z = (x/y)*z. Hope that clears your confusion.
They said you need to solve the bracket first (Direct translation), which means we need to open the bracket first in order to solve this. So from 6/2(1+2), 6/(2(1) + 2(2)). Why 2(1+2) becomes (2(1) + 2(2)) ? Recall back how you form a bracket through factorization. 2 is a factor for both 2 and 4. Hence, 6/(2+4), which is equals to one. Those who thinks the answer is 9, I would like to look at your calculation. Also showing me the mistake I've done with supporting reference(s).
Just feel like an government department should have got this right and not teaching the whole of Taiwan with the wrong method! This is a basic mathematical rule, if you get this wrong then all of the maths you do could be wrong.
for example if the question is 6÷(x+y)²
now everyone knows bracket first then power then the rest
so 6÷(x+y)(x+y)
just like here if you divided 6 by (x+y) first then it is wrong
I can't believe the Taiwan official education department will get this wrong!!!!!
Under the Order of operation - BIDMAS or PEMDAS rules, even though multiplication and division are at the same level (so the left-to-right rule should apply), brackets outrank division, so the 2 goes with the [3], rather than with the "6 divided by". That is, multiplication that is indicated by placement against brackets is "stronger" than "regular" multiplication. So answer is 1
The so called Taiwan Professor mistreated the 2(1+2) as 2 terms which should be written as 2 x (1+2) and in that case
6÷2 x (1+2) = 6÷2 x 3 = 3 x 3 = 9
another example is 6÷2A if A=3 , you will calculate 2A=2x3=6 first and 6÷6=1. You will not calculate 6÷2 =3 first and add a 'multiplier symbol x' between 2 and A and then 3x3= 9. This is the simple abc of algebra, I don't know why the Taiwan Professor made this big mistake.
The answer is quite simple, it should be 1 not 9 and the so called Taiwan professor was totally wrong.
For example , in 6÷2(x+y) the 2(x+y) is a whole term which you cannot break it into 2 terms and treat them separately and hence you should calculate this term 2(x+y) first. In this case x = 1 and y = 2 , therefore the term 2(x+y) = 2(1+2) = 2(3) = 6
so 6÷2(x+y) = 6÷2(1+2) = 6÷6 = 1
The so called Taiwan Professor mistreated the 2(1+2) as 2 terms which should be written as 2 x (1+2)
The answer is quite simple, it should be 1 not 9 and the so called Taiwan professor was totally wrong.
For example , in 6÷2(x+y) the 2(x+y) is a whole term which you cannot break it into 2 terms and treat them separately and hence you should calculate this term 2(x+y) first. In this case x = 1 and y = 2 , therefore the term 2(x+y) = 2(1+2) = 2(3) = 6
so 6÷2(x+y) = 6÷2(1+2) = 6÷6 = 1
The so called Taiwan Professor mistreated the 2(1+2) as 2 terms which should be written as 2 x (1+2)
CASIO計算機算出來是9
a32343257 4 days ago
BIDMAS!!!
1945ABBY1212 1 week ago
@0923221110 6/(2A)
GasaiYuno39 1 week ago
過了這麼久 仍舊算不出來9這個答案
e04rutk 2 months ago
設A=3
6÷2A
=6/2A
=3/A
A=3
=3/3
=1
有錯嗎？
GasaiYuno39 2 months ago
第三行...6/2A~應該是3XA才對~你算錯了
0923221110 2 weeks ago
用國小的純數的四則運算，本身就不會有 6÷2(1+2) 的寫法，因為國小的純數的四則運算，只有 +-*/ 的混算元，而沒有 2(...) 這樣的混算元的，所以 用國小的純數的四則運算 根本是 算式有問題。
用國小的純數的四則運算，如果說 2*(1+2) 可以 把 乘號任意刪去 成為 2(1+2) ， 那麼
1 * 2 * 3 可以寫成 123 嗎?
csjoecho 2 months ago
其實有些老師不會教你用()代表乘,()就是代數法則,反而要求乘就要寫x或‧,所以到現在我寫算式中的乘也會用x或‧而不會直接用(),相化一些2(1+n) 這些才會用()
sharen1273 2 months ago
我也是先算代數,習慣起來2(2+1)就是2X3啊...然後才將6/6, 如果這問題的本意是代數(EG.國中的代數課,那答9就會錯啊....
sharen1273 2 months ago
6÷2(x+y)
=6÷(2x+2y)
Let x be 1, y be 2.
6÷[2(1)+2(2)]
=6÷(2+4)
=6÷6
=1
Primary school teachers?More like primary 1 students.
leon19951209 3 months ago 2
Z7412321 3 months ago
@Z7412321
你國中或以上的數學老師要哭了
leon19951209 3 months ago
8÷2(2+2)=16 or 8÷2(2+2)=1 ?????
1007wsl 3 months ago
丟進程式跑了一次，結果如下:
Exception in thread "main" java.lang.Error: Unresolved compilation problem: Syntax error on token "2", * expected after this token
lcw726 3 months ago
小朋友你媽
幹
去你的數學白癡
lcw726 3 months ago
本來就是這樣啊@@
先算括號，再由左至右
Shirayuki0211 3 months ago
這種新聞有啥好報
去報些社會公益也好
不要在無聊上網抄新聞了
智障妓者
k63773 3 months ago
有什麽問題啊。。。本來就是9啊
Wayne4236 4 months ago
其實題目本身已經有錯在先。
純數的四則運算，本身就不應該寫成6÷2(1+2)，而是要寫成6÷2．(1+2)或6÷2×(1+2)。
2(1+2)這種寫法是代數寫法，在代數中，2(x+y)，實際上是要先算的。
看到題目6÷2(1+2)時，回答9或1的，其實都不正確。正確的答案應該是反問：「這是四則運算題還是代數運算題？」
對方若說是四則運算，我們就先狠狠尻他頭，罵他：「四則運算題不是加減乘除的運算嗎？你題目的乘號哪裡去了？拿回去重寫！小學沒畢業啊？四則運算式這樣寫的？！」
對方若說是代數運算，我們也狠狠尻他頭，罵他：「代數運算題中怎麼沒有代數？拿回去重寫！小學沒畢業啊？沒代數還叫代數運算式？！」
georgefunx 5 months ago 16
老師有教過先乘除後加減 括弧裡的先處理括弧前面的乘號通常都會省略不寫出來 新聞在那邊誇大150萬人 誇大才會吸引人來看
0204pipe 8 months ago
小學以上學歷者回答9的話是弱智，6/2(2+1)=9那麽2n/2n=n*n...
rlxaikikk 9 months ago
教育部次長說的才是正確答案。「我已經脫離國小很久了。」
rlxaikikk 9 months ago 2
國小有學代數嗎，連爭議在哪裡都不知道也敢報?
supermiredo 9 months ago
沒有乘號，答案絕對是１，說９的都放屁！專家？我呸!
HKelenafan 9 months ago 2
台湾新闻真丢脸。。不会算就不要装懂。
cltw666 9 months ago
Actually this is a stupid question...
Only small kids will write divide with "÷ ", university student normally write divide as "/".
If the question now is "6/2(1+2)", what will be the answer? Definitely it will be 1....
hoe117 10 months ago
i ask u back..if 6(1+2) / 2(1+2) = ????
0211445 10 months ago
if
x÷yz not equal to x÷y*z...
but yz = y*z...
but why we cannot equalize x÷yz and x÷y*z?
i think this is not maths problem, this is the problem of way of expression... that's y it is confusing...
We all are correct... wrong at the Mathematician who create it without a clear method!!
eyunu 10 months ago
@eyunu yz is equal to y*z. but when they go into factor, they are not equal. x/yz is not equal to x/y*z. The first one, x/yz = x/(y*z), however, x/y*z = (x/y)*z. Hope that clears your confusion.
cltw666 9 months ago
They said you need to solve the bracket first (Direct translation), which means we need to open the bracket first in order to solve this. So from 6/2(1+2), 6/(2(1) + 2(2)). Why 2(1+2) becomes (2(1) + 2(2)) ? Recall back how you form a bracket through factorization. 2 is a factor for both 2 and 4. Hence, 6/(2+4), which is equals to one. Those who thinks the answer is 9, I would like to look at your calculation. Also showing me the mistake I've done with supporting reference(s).
yulsichime 10 months ago
如果看不明白這裡還有一個列子 6 ÷ 2(1 + 2)，如果要我們把它simplify應該是 =6 ÷ 2（A）那裡有可能是(6 ÷ 2)A 呢？
summerap0627 10 months ago 2
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6 ÷ 2(1 + 2) =(3x2)÷(1+1)(1 + 2) =(6) ÷ (2)(3)<------------要把（）拿掉，就必須把外面的號碼乘進去。 =(6) ÷ (6) =(1)
2(1+2) 这个是factorize，必须一起做的。
2x(1+2) and 2(1+2)雖然出來的答案是一樣是6，但是如果前面還有東西的話，是不同的。 假設你是個小學生，你可以做成加減乘除基本算法。
2x(1+2) = 2(1+2)，老師一定會改你對，因為小學生沒有學到factorize。 如果你是小學生以上的，這題不是加減乘除的算法。
2x(1+2) ！= 2(1+2)，必須以factorize來做。
summerap0627 10 months ago
it's 1~!!
letterZach 10 months ago
Just feel like an government department should have got this right and not teaching the whole of Taiwan with the wrong method! This is a basic mathematical rule, if you get this wrong then all of the maths you do could be wrong.
for example if the question is 6÷(x+y)²
now everyone knows bracket first then power then the rest
so 6÷(x+y)(x+y)
just like here if you divided 6 by (x+y) first then it is wrong
because (x+y)² =(x+y)(x+y)
so 6÷2(1+2) = 6÷6 = 1
sleepyjuju 10 months ago 2
pure idiocy and ignorance to not realize the incomplete statement of question why should we even argue over an incomplete and contradict question
archiesince1991 10 months ago
題目: 6÷2y 而 y = (1+2)
計算:將y = (1+2) 代入式子得到6÷2(1+2)
請問這時候你們6÷2(1+2)算出來答案是1還是9?
題目: 6÷2 x y 而 y = (1+2)
計算:將y = (1+2) 代入式子得到6÷2x(1+2)
請問這時候你們6÷2x(1+2)算出來答案是1還是9?
本來題目就是有問題，還可以在這邊1啊9啊爭得面紅耳赤
沒加上乘號就是代數問題，這有什麼好爭的
azrael721024 10 months ago
問題就是這( ), 6÷2(y) 答案是什麼
sleepyjuju 10 months ago
@sleepyjuju
括弧並不是解題所遇上的問題，括弧內先解這是事實，但是2y的y=(1+2)=3的時候，不會有人把算式寫成:2 3吧?而是寫成2(3)，但是這時候無論前後有什麼加減乘除，2(3)先行計算這是代數計算方式沒錯吧? 今天所有人會卡在1跟9的關鍵上就是在於那個乘號省略到底是看成"簡單四則運算"還是"代數四則運算"。我只能說，我根本沒有印象小學時候的簡單四則運算有教過 "可以省略乘號"。這根本就是人的惰性，而後教育中學到可以省略乘號，就盡量去把乘號省略，一直強調基礎運算要先解括號、從左至右、先乘除後加減，但是卻忘了省略乘號的算式本來就是代數運算而不是簡單數學運算。
今天不管題目是 6÷2y 而 y = (1+2) 還是 6÷2(y) 而 y = 1+2，計算完 y 數值後直接先乘上2絕對是正確的。很多人把關鍵放在括號或是從左至右，但是我卻看到的是 "乘號的省略" 問題上。
只要乘號省略就是代數運算，這沒有什麼好辯的。不要再那邊爭國小老師上課題目乘號就省略怎樣怎樣，那是因為她所受到的後期教育裡 "多為代數運算" 乘號省略的式子司空見慣，也早就把 "省略" = "乘號"。
azrael721024 10 months ago
不會有人計算 6÷2y 而 y = (1+2) 的時候先 6÷2 = 3 然後 3‧y 而 y = (1+2) 所以答案是9吧?!
而且計算機的計算方式也是人寫的，在遇到 6÷2(1+2)的問題的時候，程式會先處理括弧內的算式，然後 "自動把省略掉的乘號補上" 所以對計算機看來它看到的是 6÷2‧3而不是 6÷2(1+2)。不能說把 6÷(2+4)最簡化成為 6÷2(1+2)就變成不同的運算方式阿.......
azrael721024 10 months ago
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乘法的表示法：1x2與1‧2與1*2
但是有沒有省略的例子? 有：X x Y與X ‧ Y與X * Y和XY
那麼 2(1+2) 我們可以看做是 2乘上一個未知數X(而X內容為1+2) -> 2X
6/2X = 3 ‧ X ??? 這太可笑了吧
azrael721024 10 months ago
如果乘號可以隨便省略
那 6 x 2 不就可以表示為 6 2 ??? 這是什麼??? 一維矩陣????
azrael721024 10 months ago
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azrael721024 10 months ago
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azrael721024 10 months ago
I can't believe the Taiwan official education department will get this wrong!!!!!
Under the Order of operation - BIDMAS or PEMDAS rules, even though multiplication and division are at the same level (so the left-to-right rule should apply), brackets outrank division, so the 2 goes with the [3], rather than with the "6 divided by". That is, multiplication that is indicated by placement against brackets is "stronger" than "regular" multiplication. So answer is 1
sleepyjuju 10 months ago
This has been flagged as spam show
6 is numerator, 2(1+2) is denominator :
。 6
一一一一
2(1+2)
6。。。1
一..X 一一一=1
2。。。(1+2)
kengsangt 10 months ago
6 is numerator, 2(1+2) is denominator :
。 6
一一一一
2(1+2)
kengsangt 10 months ago
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kengsangt 10 months ago
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kengsangt 10 months ago
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kengsangt 10 months ago
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kengsangt 10 months ago
fuck maths. go have sex with it
subfenom 10 months ago
6÷2(1+2)
=6÷(2+4)
=6÷6
=1
wkt0924 10 months ago 2
The so called Taiwan Professor mistreated the 2(1+2) as 2 terms which should be written as 2 x (1+2) and in that case
6÷2 x (1+2) = 6÷2 x 3 = 3 x 3 = 9
another example is 6÷2A if A=3 , you will calculate 2A=2x3=6 first and 6÷6=1. You will not calculate 6÷2 =3 first and add a 'multiplier symbol x' between 2 and A and then 3x3= 9. This is the simple abc of algebra, I don't know why the Taiwan Professor made this big mistake.
brayantree 10 months ago
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The answer is quite simple, it should be 1 not 9 and the so called Taiwan professor was totally wrong.
For example , in 6÷2(x+y) the 2(x+y) is a whole term which you cannot break it into 2 terms and treat them separately and hence you should calculate this term 2(x+y) first. In this case x = 1 and y = 2 , therefore the term 2(x+y) = 2(1+2) = 2(3) = 6
so 6÷2(x+y) = 6÷2(1+2) = 6÷6 = 1
The so called Taiwan Professor mistreated the 2(1+2) as 2 terms which should be written as 2 x (1+2)
brayantree 10 months ago
The answer is quite simple, it should be 1 not 9 and the so called Taiwan professor was totally wrong.
For example , in 6÷2(x+y) the 2(x+y) is a whole term which you cannot break it into 2 terms and treat them separately and hence you should calculate this term 2(x+y) first. In this case x = 1 and y = 2 , therefore the term 2(x+y) = 2(1+2) = 2(3) = 6
so 6÷2(x+y) = 6÷2(1+2) = 6÷6 = 1
The so called Taiwan Professor mistreated the 2(1+2) as 2 terms which should be written as 2 x (1+2)
brayantree 10 months ago
是誰改變了這個概念的？？大家用一下計算機算一下，看看答案是什麽，就知道發生什麽事了。。。
chungpakto 10 months ago
2(1+2)=[2x(1+2)]
nyupuchiko 10 months ago
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6÷2(1+2)
=6÷(2+4)
=6÷6
=1
不可能是9吧……? =.=
AhGe103 10 months ago
This has been flagged as spam show
6÷2(1+2)
=6÷(2+4)
=6÷6
=1
不可能是9吧……? =.=
AhGe103 10 months ago
This has been flagged as spam show
6÷2(1+2)
=6÷(2+4)
=6÷6
=1
不可能是9吧……? =.=
AhGe103 10 months ago
This has been flagged as spam show
6÷2(1+2)
=6÷(2+4)
=6÷(6)
=1
不可能是9吧……? =.=
AhGe103 10 months ago
答 9 的人请来做下以下的问题。
(1) Simplify 5pqr ÷ pr
(2)Given that X = 5pqr ÷ pr, evaluate X when p=2, q=3, r=4.
Look at question (2). In the question 2
X=5(2)(3)(4) ÷ (2)(4)
if 6 ÷ 2(1+2) is 9 then this question should work like this:
X=5(2)(3)(4) ÷ (2)(4) = 120÷ (2)(4) = 120 ÷ (2) * (4) = 60 * 4 =240,
but the answer is 15 not 240.
如果上题答案是9的话， 5pr ÷ pr 不等于 5 ，5pr÷p * r ?
noobiepiggy 10 months ago 18
@noobiepiggy how to u get the answer is 15??
can giv me the formula?thx...
Zyeong 10 months ago
6÷2(x+2)=1
6=2x+4
2=2x
x=1
所以6÷2(1+2)
games1129 10 months ago
虽然先乘除后加减，可是括弧里的必须先做
chlkhg94 10 months ago
@chlkhg94 你自己也懂說.. 是括弧"里"的先做... 其實正確來說( )在算式中並沒有先後做之分 "( )"只代表( )裡的是一整項 試把(1+2)想像成x這個未知數 那6÷2‧x就沒有了( )的所謂"先做"的觀念擾亂了
SephJoSloth 10 months ago
2(1+2) 这个是factor，必须一起做的。factor是不可以分开的。
2(1+2) = (2+4) = 6
Answer should be 1.
if 6÷2x(1+2) then answer is 9.
2x(1+2) and 2(1+2) is different.
shiong6053 10 months ago 34
@shiong6053 even is 6÷2x(1+2).... answer shouldn't be 9 because multiplication comes before division...
shakespeare87 10 months ago
真正答案是1，不可能是9！网络短片那些146万人是对的！以什么来prove, 请用a/2(1+2)=b, a=6 if b=1 and a=2/3 if b=9!出题人真是幼稚 +白痴！！！
shiong6053 10 months ago
@shiong6053 就是說... 是"÷"這個符號作怪.. 若真的要將這條算式以"/"來表達 那6÷2(1+2)便只可能=(6/2)(2[1+2]) 除非這條算式是寫作"6÷(2[1+2])" 那答案才是1
SephJoSloth 10 months ago
之前不是報過了(計算機竟有兩個答案那一則)
vicki110207 10 months ago
这么弱智的问题.....服了，2和 ( 中间是乘号省略了..
imyxiao 10 months ago