Math: 6÷2(1+2) = ?

The answer is 9
Multiplication and Division left to right at the same time!


[link to en.wikipedia.org]
The standard order of operations, or precedence, is expressed here:

terms inside parenthesis
exponents and roots
multiplication and division
addition and subtraction

This means that if a mathematical expression is preceded by one operator and followed by another, the operator higher on the list should be applied first. The commutative and associative laws of addition and multiplication allow terms to be added in any order and factors to be multiplied in any order, but mixed operations must obey the standard order of operations.

It is helpful to treat division as multiplication by the reciprocal (multiplicative inverse) and subtraction as addition of the opposite (additive inverse). Thus 3/4 = 3 ÷ 4 = 3 • ¼; in other words the quotient of 3 and 4 equals the product of 3 and ¼. Also 3 − 4 = 3 + (−4); in other words the difference of 3 and 4 equals the sum of positive three and negative four. With this understanding, we can think of 1 - 2 + 3 as the sum of 1, negative 2, and 3, and add in any order: (1 - 2) + 3 = -1 + 3 = 2 and in reverse order (3 - 2) + 1 = 1 + 1 = 2. The important thing is to keep the negative sign with the 2.

The root symbol, √, requires a symbol of grouping around the radicand. The usual symbol of grouping is a bar (called vinculum) over the radicand.

Stacked exponents are applied from the top down.

Symbols of grouping can be used to override the usual order of operations. Grouped symbols can be treated as a single expression. Symbols of grouping can be removed using the associative and distributive laws.

Syrius, using the mult inverse is simply a more complicated method for solving a very simple problem. The answer either way is 1!

The answer is 9
Multiplication and Division left to right at the same time!


[link to en.wikipedia.org]
The standard order of operations, or precedence, is expressed here:

terms inside parenthesis
exponents and roots
multiplication and division
addition and subtraction

This means that if a mathematical expression is preceded by one operator and followed by another, the operator higher on the list should be applied first. The commutative and associative laws of addition and multiplication allow terms to be added in any order and factors to be multiplied in any order, but mixed operations must obey the standard order of operations.

It is helpful to treat division as multiplication by the reciprocal (multiplicative inverse) and subtraction as addition of the opposite (additive inverse). Thus 3/4 = 3 ÷ 4 = 3 • ¼; in other words the quotient of 3 and 4 equals the product of 3 and ¼. Also 3 − 4 = 3 + (−4); in other words the difference of 3 and 4 equals the sum of positive three and negative four. With this understanding, we can think of 1 - 2 + 3 as the sum of 1, negative 2, and 3, and add in any order: (1 - 2) + 3 = -1 + 3 = 2 and in reverse order (3 - 2) + 1 = 1 + 1 = 2. The important thing is to keep the negative sign with the 2.

The root symbol, √, requires a symbol of grouping around the radicand. The usual symbol of grouping is a bar (called vinculum) over the radicand.

Stacked exponents are applied from the top down.

Symbols of grouping can be used to override the usual order of operations. Grouped symbols can be treated as a single expression. Symbols of grouping can be removed using the associative and distributive laws.

op is a fucktard

your explanation just backed up 9 is the correct answer

yet you think its 1

its 9

I love when people suffer from dementia.

6
___ = ?

2(1+2)


How can I put that as a thread's title?

Oh, 6÷2(1+2).

6
______
2(1+2)

Does not equal


6÷2(1+2).

Oh Boy, I'm representing our South African Education system here during apartheid years.

first thing i remember: "÷" is not the same as "/" dont ask me why, I cant bluddy remember, but whenever you see "÷" you must put the unknown in parentheses which changes the direction form left to right TO right to left.

"When dividing an [unknown] or [x] with "÷" put unknown in parenthesis and calculate first, then remove parenthesis"
"When dividing an [unknown] or [x] with "/" all follow the same rank, left to right.

thus

6 ÷ 2(1+2) is not the same as 6/2(1+2)

Using waht the OP gave us we have to use our parentheses on unknown and it looks like this:

is 6 divided by [2(1+2)]

6 divided by [2(3)]

6 divided by [6] now remove parenthesis

6/6
= 1

6/2(1+2) on the other hand is 9