Math: 6÷2(1+2) = ?

The how is this wrong?

6÷2(1+2)=
3(3)=
9

Because the equation is
6 ÷ 2(2+1) = 3/(2+1) = 1

THAT's how.

6 ÷ 2n = 3/n. Ask your stupid wolfram if that is true. n = 2+1

Wolfram, and everyone other calculator doesn't know how to substitute variables with values.

It knows 2n/2n = 1
6/2n = 3/n

But when you try and fill a value in, it throws up. Therefore, if you can't do algebra, let wolfram do it for you, then when it simplifies the equation for your dumbass, fill in 2+1.

6 ÷ 2n = 3/n

n = 2+1

6 ÷ 2(2+1) = 1

is just plain wrong. you don't get an extra division just because you want to, okay.

Distributive Property:

"We use the distributive property to help us find a way around the order of operations while still being sure that we keep the value of the expression."
[link to en.wikibooks.org]

Distribute BEFORE "pedmas" to REMOVE parentheses [link to www.algebra.com]

Get Rid of parentheses with Distribution:
[link to www.helpalgebra.com]

"When simplifying expressions with parentheses, you will be applying the Distributive Property." -purplemath

The Distributive Property in ALgebra:
The Distributive Property is handy to help you get rid of parentheses.
a(b + c) = ab + ac
[link to math.about.com]

These guys got it right, they use "Parentheses" in the order of operations to require Distributive Property.
Ref: Purplemath
[link to www.purplemath.com]

Example of parentheses:
[link to www.purplemath.com]

"Whatever is enclosed in parentheses must be simplified first, or if not, it must interact as a quantity with anything outside. This means any operation on the quantity in parentheses must be applied to all of its parts. The most common and important example is called the distributive property." -holytutoring
[link to www.hoyletutoring.com]

If there is some factor multiplying the parentheses, then the only way to get rid of the parentheses is to multiply using the distributive law.
[link to www.jamesbrennan.org]

Distributive property CAN be used with numbers.: [link to louisacounty.va.schoolwebpages.com]

Distribution Picture:
[link to www.shmoop.com]

according to the distribution law:

6÷2(1+2)

= 6÷2*1 + 6÷2*2

= ???

NO. You absolutely REQUIRE ( ) around the 6 ÷ 2.

Derivation:
6 + 3 = 9
Now factor out 6/2:
(6/2)2 + (6/2)1 = 9
(6/2)(2+1) = 9
(6 ÷ 2)(2 + 1) = 9

Fractional Coefficients require parentheses if they use a '/'

no they don't, / is the same as divide symbol. so for mutiply and divide, you go left to right.

6/2 * (1+2)

could be written as:

a * b

where:

a = 6/2
b = (1+2)

the bizarre bit is that some people would rather write it as a/b for some reason. it is clearly multiplication, not division.

If you don't understand this, say so. Don't say it isn't, because your word doesn't change the laws of math.

Call me any name you chose, the answer will still be 1.

6÷2(1+2)
= 6/2(3) <- at this stage the parenthesis represent multiplication, not order of ops
= 3(3)
= 9

why is this thread just south of 140 pages??

does your word change the laws of math?

A pair, is 2. A pair of anything, is 2 of them. Yes, it can be evaluated as 2 * x, but the value must remain so the meaning is different.
Situation: You have apples to divide among people. You have 6 apples. A family (f) is 2 adults and 1 child, so f = 2+1

6 apples divided by a pair of families (where there are 3 in a family). f is a family of 3, so f = 3
6 ÷ 2f = 6 ÷ 2(3) = 1
6 ÷ 2(2+1) = 1

i went through it again and i actually now come up with 1.

Order of operations:

Brackets
Exponents
Division
Multiplication
Addition
Subtraction

6÷2(1+2) =

= 6÷2(3)

= 3(3)

= 1

i respectfully retract my previous answer of 9 i was doing M before D

:s

if it makes no difference whatsoever in what order the operations are carried out, then WHY are some people saying "1" and some people saying "9"?

1 = Correct BUT IT's not for that reason.


.

I bolded your equation above. It is = 9.

6 ÷ 2n = 3/n
6 ÷ 2 * n = 3n

If you don't understand this, say so. Don't say it isn't, because your word doesn't change the laws of math.

you and you're casio are doing it wrong.

[link to www.wolframalpha.com]

I bolded your equation above. It is = 9.

6 ÷ 2n = 3/n
6 ÷ 2 * n = 3n

If you don't understand this, say so. Don't say it isn't, because your word doesn't change the laws of math.

The point of PEMDAS is the multiplication 'm' is before division 'd' not left to right you fucking dumbass piece of cunt licking butt sucking shit. FUCKING PEMDAS

P
E
M
D
A
S

FUCKKKKKKKKKKKKKKKKK!!!!!!!!!!!