A case of a village lad against the Mathematicians, even as a bible student against the Theologians.
What's the answer? Thanks.
I picked 1, but the Mathematicians insist 9.
Let us phrase the question in this simple manner:
Six dollars are divided by two families of three people each, how much does each one get?
(Is this accurately illustrating the question?)
(Is this accurately illustrating the question?)
That is, 6 is divided by 2 times of the sum in the parenthesis.
I'm interested in this chiefly because it is so closely related to interpretation, that of rightly dividing the word of truth!
Sing
Let us phrase the question in this simple manner:
Let us phrase the question in this simple manner:
Six dollars are divided by two families of three people each, how much does each get?
I really don't mind getting $9! In which case, the other 5 owe me $3 (since there was only $6 to begin with), if equally borne, each owes me 60 cents. ;-)
I would love WEALTH CREATION through this ingenious algebraic rule, MISAPPLIED!
Just thinking!
Bonnie
Do you have to do the division first because of the rules of algebra?
Do you have to do the division first because of the rules of algebra?
If so then the answer is 9
Sing
Then 6/2 and (1+2) become unrelated, therefore meaningless and unrelated algebraically.
Then 6/2 and (1+2) become unrelated, therefore meaningless and unrelated algebraically.
It is 6÷2(1+2) = 6÷6 = 1
Six is DIVIDED BY 2(1+2)
Six is DIVIDED BY 6 = 1
The answer is 1, but I don't mind getting $9 instead of $1. ;-)
I would love to be paid $9 instead of $1! ;-)
I would love to be paid $9 instead of $1! ;-)
Bonnie
Parenthesis first 1+2 =3, 6÷2 is 3. Then 3(3) do the multiplication that equals 9. I thought you had to do division and multiplication from left to right. Haha I need to learn more apparently
Parenthesis first 1+2 =3, 6÷2 is 3. Then 3(3) do the multiplication that equals 9. I thought you had to do division and multiplication from left to right. Haha I need to learn more apparently
My calculator also gave me 9. You have to follow the order of operations
Sing
Parenthesis first, so (1 + 2) = (3)
What nearest to that (3)?
It is 2, therefore 2(3) = 6.
6 is divided by 2 times of what is in the parenthesis.
6 is divided by 2 times of what is in the parenthesis.
Therefore 6 is divided by 6.
Bonnie
Pemdas is the correct order of things, however, multiplication and division have the same importance, and should still be done left to right.
Please watch the video link I posted on this. He explains it better than I can.
What is 6÷2(1+2) = ? The Correct Answer Explained - YouTube
What is 6÷2(1+2) = ? This problem went viral and…
Sing
Thanks. I'm slow and non-progressive! Still an old schoolboy - historical school ;-).
To get 9, it must be written like this (6÷2)(1+2) = 9
(Casio fx-570MS)
(Casio fx-570MS)
Peter
It becomes clearer when written formulaically as 6(1+2) in numerator line and 2 in denominator line. Then it has to be 9. Excel agrees.
Sing
6 is divided by 2 times of 1+2 or
6 is divided by 2 and then multiplied by 3?
Written formulaically it is 6 in the numerator and 2(1+2) in the denominator.
It is 6 is divided by 2 times of (1+2)! Like this:
It is 6 is divided by 2 times of (1+2)! Like this:
Joe
The correct answer is 1 when you write out the mathematical expression.
Sun
Remember the aged old rule of thumb taught in primary school decades ago?
BODMAS
6/2*(1+2) = 3*(1+2) = 3*3 = 9
Arithmetic rule. Work down according to the spelt letters. First apply B or bracket;
Then O or of
Then D for division (÷)
Then M or multiplication (x)
Then A for addition (+)
Finally S for subtraction (-)
Note: a(b) also means a x b
6/2 = 3
(1+2) = 3
Thence 6/2 x 3 = 3 x 3 = 9 Q.E.D!
O'gwen
1
Jean
9
9
Sing
We know 2(1+2) = (1+2)2 = 6
Please tell, is 6÷2(1+2) the same as 6÷(1+2)2?
Thanks.
Sun
Different Sir! The second equation is 4. The first equation equals 9.
Nevertheless, life still moves on, God willing.
Sing
Let 2(1+2) = (1+2)2 = a.
Let 2(1+2) = (1+2)2 = a.
How can one 6/a = 9 and another 6/a = 4. Now, I'm more confused.
Never mind, I take the $9 and buy some €.
Thanks for the fun!
Joe
Joe
We are taught to evaluate anything within or connected with parenthesis first.
Sing
That was the way I was taught too.
So to yank 2, an integral part of the parenthesis, away from (1+2) and have 6 divided by 2 is improper.
It is 6 divided by the whole component of 2(1+2).
It is 6 divided by 2 times the sum of the parenthesis.
It is 6 divided by 2 times the sum of the parenthesis.
It reminds me of the old school theology and the new school theology!
Ordinarily, I don't mind having $9 over $1.
Sing
What is (2+1)2 divided by 6 then, i.e. (2+1)2÷6?
Sun
Let your 6 divides by 2 first. Then multiply the total 2+1 in the bracket. You will have 3 x 3 = 9
Let your 6 divides by 2 first. Then multiply the total 2+1 in the bracket. You will have 3 x 3 = 9
Sing
That's "gostang"!! (i.e. reverse, right to left!)
That's "gostang"!! (i.e. reverse, right to left!)
Sun
bodmas - Google Search
GOOGLE.COM.PH
Unless my primary teacher bluffed me then, that was what I was taught. On second thought I might already be a mathematician if I had not been taught wrongly. Too late sigh.....
Adam
Isn’t the rule to solve from left to right?
Isn’t the rule to solve from left to right?
Sing
That’s the rule. It seems that's not the problem here.
That’s the rule. It seems that's not the problem here.
The issue is whether 2(1+2) is to be understood as an entity by which 6 is divided. Or 2(1+2) can be broken down into parts and only a part of it is used in an algebraic operation?
Adam
6 must be divided by 2 before you come to the parenthesis
Sing
That's how it is understood.
That's how it is understood.
But I believe it is wrong. 2 is an integral part of the parenthesis component.
6 is divided by 2 times of what constitutes the parenthesis.
Let me try to demonstrate.
Let 6 = x, and 2(1+2) = y
Then we have x divided by y = 9.
Let's now divide y by x. Logically the answer is 1/9.
2(1+2) divided by 6 = ???
The answer is not 1/9 but 1.
This indicates that 6÷2(1+2) = 1.
The reverse, that 2(1+2)÷6 = 1 also.
It is suggested that 2(1+2) ought to be written as (1+2)2, and then 6 must be divided by 2 first (just ignore the Bodmas left-to-right rule); that will give us 3.
That is, (1+2)2÷6 = (3)3 = 9; it is not 1/9
Applying BODMAS correctly, we have,
(1+2)2÷6 = (3)2÷6 = (3 x 2)÷6 = 6÷6 = 1
This shows that if a÷b = 1, then b÷a = 1 too.
That is, (1+2)2÷6 = (3)3 = 9; it is not 1/9
Applying BODMAS correctly, we have,
(1+2)2÷6 = (3)2÷6 = (3 x 2)÷6 = 6÷6 = 1
This shows that if a÷b = 1, then b÷a = 1 too.
$9 is definitely better than $1 at the current dismay exchange rate for ringgit.
Today €1 = RM5.068. It was RM4.71 in May. :-(
Sing
I dug out my OLD scientific calculator - a Casio fx-350MS (the previous one is fx-570MS)
It says 6÷ 2(1+2) = 1
I just thought it is SO OBVIOUS - 6 is divided by 2 times of (1+2).
Maybe it is an OLD SCHOOL calculator used by an old school boy!
If it shows 9, I probably will throw out that calculator! ;-)
Sing
Let’s consider these…
1(1+5) = 2(1+2) = 3(1+1) = 4(1+0.5) = 5(1+0.2) = 6(1+0) = 6
1(1+5) = 2(1+2) = 3(1+1) = 4(1+0.5) = 5(1+0.2) = 6(1+0) = 6
But applying the BODMAS rule the wrong way, we get these results even though 6 is divided by the exact same value.
6 ÷ 1(1+5) = 36
6 ÷ 2(1+2) = 9
6 ÷ 3(1+1) = 4
6 ÷ 4(1+0.5) = 2.25
6 ÷ 5(1+0.2) = 1.44
6 ÷ 6(1+0) = 1
Now I appreciate why the same Scriptures is divided in so many diverse ways!
Sing
Sing
Let's make it VERY SIMPLE...
I will settle for $1 and have the truth, instead of $9 and sacrifice it!
I will settle for $1 and have the truth, instead of $9 and sacrifice it!
