discussion ATRL: I have a math emergency: 6÷2(1+2)=?

[Iceland]

Help me &

Elaborate

 

thanks 

[Cesar]

The expression 6÷2(1+2) can be solved by following the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).

Here's how to evaluate it step by step:

1. Parentheses: Solve anything inside parentheses first.

   1+2=3

   So, the expression now becomes:

   6÷2(3)

2. Multiplication and Division (left to right): According to PEMDAS, we perform multiplication and division from left to right as they appear in the expression.

   • The expression now is:

     6÷2×3

   • Starting from the left, do 6÷2 first:

     6÷2=3

     Now the expression is:

     3×3

   • Finally, multiply 3×33×3:

     3×3=9

Final Answer:

6÷2(1+2)=9

The key point here is performing division and multiplication from left to right after simplifying inside the parentheses.

[penguintim]

6÷2(1+2) = 6÷2(3) = 6÷6 = 1

[Iceland]

1 minute ago, penguintim said:

6÷2(1+2) = 6÷2(3) = 6÷6 = 1

It feels right

[tost1]

Is it related to a science emergency 

[Johnny Jacobs]

Girl it's nine. And you have a calculater on every phone 

Edited October 28 by Johnny Jacobs

[Josh]

i don't know much about algebra but i know 1+1=2

[BlackoutZone]

What a throwback 

[Alaska.]

4

[duybeeGAshantiGA]

It's 1 according to how I studied

[AxelFox]

Not 1 winning the poll

 

It's definitely 9. @Cesar explained it best. 

[Meev]

It's 9, but how did people get 1?

Edited October 28 by Meev

[Mephisto]

143

[RideOrDie]

open up the schools

[liam13]

it's 9 but it shouldn't be written like that.

[Komet]

Flop question. You'll never see it like that in any math book, it's gonna be either

 

6÷2*(1+2) or 6÷(2(1+2))

 

The former resulting in 9, the latter in 1. Who is even using the division symbol past the 4th grade; you'd use a fraction or multiplication instead. 

 

 

[AshleyLovescats887]

Idk this ****

 

2 + 2 = 5 and you're the love of my life

[Klein]

Y'all are really not helping with the stereotype that gays can't do math. 

[JBJT2786]

I just saw this on Twitter and the person who posted it is dumb.

 

 

Its 9. 6÷2=3, (1+2=3), 3(3)=3*3=9.

[Sawk]

It's both 9 and 1, depending how you view it.

The issue is the formatting of the equation.

 

6÷2(1+2) seems fairly easy. 
 

(1+2)=3, so we get 6÷2(3)

 

According to PEMDAS, the order of operations is Parentheses, Exponent, Multiplication or Division, Addition or Subtraction.
 

PEMDAS operates from left to right, so for some, that would mean dividing 6 by 2 and getting 3 which then multiplies by 3 and gives you 9.

 

For people who resort to multiplying whatever is next to the parentheses as part of the P, the answer then becomes 2 times 3, which gives you 6 and then you can divide by 6 and get 1. 
 

There isn't a correct answer with the horrible formatting of this problem by the way.  
 

After elementary, using this ÷ symbol is a joke, any division should be expressed as a fraction rather than using ÷. 
 

If this were formatted to match actual practical mathematic problems, it would look like this:

 

6

—

2(1+2)

 

in this case, the answer is obviously 1, but when you use this cursed ÷ sh*t, you're losing vital information which leads to these debates. 

 

[mael]

I was taught where the answer was 1

[Jotham]

It's 9.

 

There's a big misconception among people that PEMDAS implies that multiplication comes before division and addition comes before subtraction, but in actuality multiplication and division are at the same levels and so are addition and subtraction, so if addition and subtraction or multiplication and division are in an expression you just go from left to right.

 

This is why some people prefer GEMS (Groups, Exponents, Multiplication and Division, Subtraction and Addition) to PEMDAS as it avoids this confusion.

[Sawk]

8 minutes ago, Jotham said:

It's 9.

 

There's a big misconception among people that PEMDAS implies that multiplication comes before division and addition comes before subtraction, but in actuality multiplication and division are at the same levels and so are addition and subtraction, so if addition and subtraction or multiplication and division are in an expression you just go from left to right.

 

This is why some people prefer GEMS (Groups, Exponents, Multiplication and Division, Subtraction and Addition) to PEMDAS as it avoids this confusion.

It's not about multiplication coming before division that people are having a problem with by the way, it's the fact that you still have the parentheses after getting the 3, it's debated whether the numbers outside the parentheses that multiply with what's inside would count for the P or the M since they're linked together, without the x symbol. 

 

Also, even if you didn't give priority to the multiplication, the actual way of viewing this is as a fraction where 

 

6

–

2(1+2) 

 

in this case where we have a correct and concise view of the equation, there's no room for debate and it'll always be 1. 
 

Writing it out like they're giving it to us with the cursed division symbol is the reason why this is even being debated, but it's useless, since no one apart from elementary kids use it. 

Edited October 28 by Sawk
Typo

[Letters From Adi]

59 minutes ago, penguintim said:

6÷2(1+2) = 6÷2(3) = 6÷6 = 1

The (1+2) is numerator while the 2 is denominator, so it would be 3/2, not 2*3

[Sawk]

1 minute ago, Letters From Adi said:

The (1+2) is numerator while the 2 is denominator, so it would be 3/2, not 2*3

(1+2) is in the denominator since it's next to the 2 outside of the parentheses, that implied multiplication applies to the 2, not the 6. 
 

Even if let's say the (1+2) was in the numerator, it would be 18/2, not 3/2.