# Need middle school math help

#### wnied

##### Diamond Member
24 + 8 / 2 X 6 - 4

musing pemdas, how can I make this equal 6?

I r math stupid

wnied

You can't.

#### Ken g6

##### Programming Moderator, Elite Member
Moderator
If 24 is outside the division, it's too large: 24-4 = 20, and something's added to that.

If 24 is part of the division, you have (24+8)/y = 32/y.

if 32/y = 6, then y = 32/6 = 5.333... You can't get that from integers without another division.

I think the normal answer is 44.

#### Lost_in_the_HTTP

##### Lifer
24 + 8 = 32 / 2 = 16 x 6 = 96 - 4 = 92

Jimminy

#### ch33zw1z

##### Lifer
If 24 is outside the division, it's too large: 24-4 = 20, and something's added to that.

If 24 is part of the division, you have (24+8)/y = 32/y.

if 32/y = 6, then y = 32/6 = 5.333... You can't get that from integers without another division.

I think the normal answer is 44.

yea, without parenthesis I got 44

#### snoopy7548

##### Diamond Member
24 + 8 / 2 X 6 - 4 = 6

You're welcome.

#### dullard

##### Elite Member
24 + 8 = 32 / 2 = 16 x 6 = 96 - 4 = 92
Please tell me this is a joke.

First, that is completely missing the point of order of operations. Second, most of your equalities are not equal. For example, look at your first equality. 24 + 8 is NOT equal to 32 / 2. Never has been, never will be.

According to correct order of operations, you add parentheses like this:
(24) + ((8 / 2) X 6) + (- 4)

Now do the work inside parenthesis before doing anything else. There is no situation in the given math where 24 is added to 8.

#### dullard

##### Elite Member
Also, if the OP's math problem was written correctly, this would never be a confusion to anyone who can do math. Why leave it up to possible incorrect interpretations? Just write it like this and almost everyone will do it right: (24) + ((8 / 2) X 6) + (- 4)

#### Lost_in_the_HTTP

##### Lifer
24 + 8 is not 32?

#### ch33zw1z

##### Lifer
24 + 8 is not 32?

sure, but order of operations dictates how you process the steps. 24+8 doesn’t happen in this problem.

Pohemi and Ken g6

#### purbeast0

##### No Lifer
24 + 8 = 32 / 2 = 16 x 6 = 96 - 4 = 92
You know how I know you suck at math?

Jimminy

#### snoopy7548

##### Diamond Member
I got 116.

24 + 8 / 2 X 6 - 4

Using PEMDAS (remember, multiplication and division are done left-right, whichever comes first)
24 + ((8/2) * 6) - 4

24 + 96 - 4 = 116

EDIT: Nevermind, I got 44. 8/2 = 4, not 16. Me so dumb.

#### serpretetsky

##### Senior member
What is the original prompt? This current post isn't clear since it doesn't equal 6. Can you move the numbers around? Can you put parenthesis anywhere you want?

#### purbeast0

##### No Lifer
I got 116.

24 + 8 / 2 X 6 - 4

Using PEMDAS (remember, multiplication and division are done left-right, whichever comes first)
24 + ((8/2) * 6) - 4

24 + 96 - 4 = 116

EDIT: Nevermind, I got 44. 8/2 = 4, not 16. Me so dumb.
You also added in an extra set of parens that is not needed.

24 + ( 8 / 2 * 6) - 4

Just one set is all that is needed.

#### pete6032

##### Diamond Member
What is the original prompt? This current post isn't clear since it doesn't equal 6. Can you move the numbers around? Can you put parenthesis anywhere you want?
I think the prompt is asking the user to write in parenthesis into the equation such that the final answer would be 6?

ch33zw1z

#### ch33zw1z

##### Lifer
Closest I came is 4 by adding my own. Funny, I was kinda thinking the same thing, as adding your own parentheses is a great way to reinforce PEMDAS

24 + 8 / 2 X 6 - 4

(24 + 8) / (2 x 6 - 4)

(32) / (12 - 4)

(32) / (8)

4

#### purbeast0

##### No Lifer
Oh I figured it out!

It equals 6 if X = `- 24 +`

24 + 8 / 2 - 24 + 6 - 4
24 + 4 - 24 + 6 - 4
28 - 24 + 6 - 4
4 + 6 - 4
10 - 4
6

OWNED IT!

#### dullard

##### Elite Member
24 + 8 is not 32?
24+8 is 32. But that isn't what you typed. You typed:
24 + 8 = 32 / 2
There is a very subtle but important difference there.

#### pete6032

##### Diamond Member
Closest I came is 4 by adding my own. Funny, I was kinda thinking the same thing, as adding your own parentheses is a great way to reinforce PEMDAS

24 + 8 / 2 X 6 - 4

(24 + 8) / (2 x 6 - 4)

(32) / (12 - 4)

(32) / (8)

4
Yes I wonder if OP made a typo or the math book made a typo.

ch33zw1z

#### dank69

##### Lifer
24+8 is 32. But that isn't what you typed. You typed:

There is a very subtle but important difference there.
He was clearly piping his results. Not saying it is okay, but that is what he was doing.

#### dullard

##### Elite Member
He was clearly piping his results. Not saying it is okay, but that is what he was doing.
Yes. But it both got him the wrong result and spreads the idea that math works that way. It doesn't. Just skip the shortcuts that are factually incorrect. They are not the way to success.

#### H T C

##### Senior member
24 + 8 / 2 X 6 - 4

musing pemdas, how can I make this equal 6?

You can't because the end result is 44.

The order of the operations is as follows: Unless with a parentheses, no + or - operation is conducted BEFORE an * or : operation.

24 + 8 : 2 * 6 - 4 =
24 + 4 * 6 - 4 =
24 + 24 - 4 =
48 - 4 =
44

Those that said 44 was the answer are correct.

#### snoopy7548

##### Diamond Member
Has anyone tried using FOIL? There's gotta be a way to get 6.

repoman0

#### dullard

##### Elite Member
I think I figured it out. Just by ignoring a few rules of math, you can get 6.

I'll multiply everything by 1. That won't affect anything. Since most numbers divided by themselves is equal to 1, we can use y / y = 1.
• (24 + 8 / 2 * 6 - 4) * y / y
Now, split out that multiplication:
• (24 * y + 8 * y / 2 * 6 - 4 * y) / y
Lets just choose any completely randomly chosen number. Nothing complicated though. Lets choose, lets say, for no particular reason, that maybe y = 0. Clearly 24 * 0 = 0. Also 4 * 0 = 0. So now we get:
• (24 * 0 + 8 * y / 2 * 6 - 4 * 0) / y
• (8 * y / 2 * 6) / y
Well we also know that 8 * y / 2 = 0 = y , so now it becomes
• (y * 6) / y
Just cancel out the y values and, it is simple
• 6 * (y / y)
• 6 * 1
• 6
Just ignore that one underlined word above.