What is 6÷2(1+2) = ? The Correct Answer Explained

Just because this is foreign to your mind don't project the blame on someone else besides your own mind.

 

It's pretty clear that math isn't foreign to my mind. It's crystal clear that you know nothing about it though. This is evident in your inability to respond to my post.

 

ad hom.

That's two in a row moron.

Iggy list for you.

Goodbye forever.

 

lol.

I'm right, you're wrong.

You're ego can't admit that someone knows more than you and I'm fine with that.

bye

 

I thought somewhere in philosophy they were supposed to teach you critical thinking. The two sentences quoted above are contradictory. "If a machine does math" contradicts the statement that only humans can do math.

Wrong again.The ax is a tool, but not a tool like the computer. A stone ax is inanimate and won't cut anything without being swung. But a robot could grab that ax and get to chopping. The difference isn't human vs non, it's animate vs inanimate. Just because a computer has to be told how to do math before it can do it is irrelevant. A human student must also be taught how to do math. And a human will also use and require electricity to do the job.

 

NO! You don't get it.
6÷2(1+2)
Anything and everything in () first. (1+2) = 3
6÷2(3)
There is an implied multiplication sign in 2(3) -> 2*(3)
Since there is only one argument in the ()'s you can eliminate the () at this time -> 2*3
So now we have 6÷2*3
Since division and multiplication is treated equally, you go from left to right.
6÷2 is 3
So now you have 3*3
3*3 = 9

 

A paranthesis does not imply multiplication. It means (do this first).
8*(2+3) means 8*5

 

I still see that as wrong. What is to be divided by 6, is 2(1+2) which is calculated by multiplying 2 with 1 and add the answer with 2 times 2. What we niw have is 2 plus 4 which equals 6.

What the calculation stands for is thus 6÷6 which is 1.

You cannot just remove the parenthesis like you are!

 

6÷2(1+2) not 6÷2=×3

 

What you're saying is correct by itself. Yes, 2(1+2) = 2(1) + 2(2).

However, that alone ignores the 6/ in the front. This changes things. You would be correct if the problem was stated 6/[2(1+2)]. This is actually what you're doing.

The way the problem is stated, however, is to do the division first, then the multiplication.

 

6÷2(1+2)

That's your prerogative.

Why do you keep ignoring the RULE that you must do what is inside ()'s FIRST.
FIRST (1+2) -> (3)

I removed the () ONLY after there was only one argument inside the () ... (3)
Please carefully review my previous post.


However, I think I see what might be causing your confusion.

3*3, (3)(3), 3(3), (3)3 all give the same answer: 9
In the latter three, there is an implied * sign between the operators:

(3)*(3), 3*(3), (3)*3 ​

In the example there is also an implied * 6÷2(1+2). If we put it in we get...

6÷2*(1+2)​

Do what is in () First -> 6÷2*(3)

6÷2*3​

Since multiplication and division are treated equally, you must work from left to right

6÷2 is 3
3*3 is 9​

Let Google do the math, just copy 6÷2(1+2) into the search bar.

 

I ignore 6 because 6 is the answer.

 

Because math is logical it does not really matter if you do it my way (2×1 + 2×2) or if you decide to make it 2×1+2=2×3. Both give us the answer 6 and hence we divide 6 by 6 which can never equal 9.

 

No, 6/ is part of the problem....as in 6/2(2+1)....see it in front there? you can't ignore it.

 

No, you're wrong...STOP IGNORING THE 6/ in front. You HAVE to divide 6 by 2 BEFORE you multiply 2 by the parenthesis. You are ignoring a fundamental aspect of order of operations and that is that Multiplication and division are to be done left to right.

 

Yes, I can ignore it because the equation is 2(2+1) and not 6. 6 is 6, there is nothing we have to calculate there. Anyways, I have, in post #84, shown what the difference between the two ways of lining up the problem is - just seeing it in text is confusing and we therefore need to see it one of the two ways I have presented to know what they are asking for.

 

You most certainly can't ignore it because it affects the order of operations.

This problem is simply A/B(C).....That is to be done left to right ALWAYS. You are trying to multiply B and C first, then do the division. This is wrong. I can't help that you don't understand this. You clearly do not have a background in mathematics so you should trust those of us that do.

We can't do math in an ambiguous manner. We can't choose how to do 5/5*2. There has to be a systematic way to do things so all research done is based off the same way of doing things. You are ignoring this.

 

Why do you keep ignoring the RULE that you must do what is inside ()'s FIRST.

OTOH, you can lead a horse to water...

 

I went to math class once. Decided to transfer to art instead.

I don't need to know how to do math anymore so I forget its rules. I used to know them backwards and forwards. Now I just swipe and swipe until the plastic card says "You broke, sucker."

 

Go to iggy.

Go directly to iggy.

Do not pass Go.

Do not collect $200 dollars.

 

exposed yet again...and yet again you can't respond.

your brilliance is unparalleled.

 

6 / 2 (1 + 2) = 3²
3² = 9

 

Honest to God, that's how I came to 9.
Kinda, I remember seeing that x 3 in that (1+2) and deducing 6/2 to be 3 for 3 x 3.

 

Everyone should have learned this in 7th Grade during middle school.

First you complete everything within the parenthesis marks.

Then you do the multiplicative functions from left to right if they are all in one line.

Then you do the divisions.

Apparently most kids in 7th Grade were thinking about hamburgers and a coke for lunch, not math.