# How do you simplify # 6÷2(1+2)# using PEMDAS?

##### 1 Answer

#6-:2(1+2) = 9#

#### Explanation:

This is an interesting problem and may be a trick question.

The visual grouping of the

To see slightly more clearly what the issue may be, try writing the multiplication explicitly to get:

#6-:2xx(1+2)#

Secondly, note that the PEMDAS mnemonic does not give greater priority to multiplication over division. It actually expands out as:

Pfor Parentheses

Efor Exponents

MDfor Multiplication and Division (left to right)

ASfor Addition and Subtraction (left to right)

So if we explicitly follow PEMDAS we find the following:

Dealing with the parenthesis first, we evaluate the expression

#6-:2xx(1+2) = 6-:2xx3#

Then evaluate this left to right (since multiplication and division have the same priority):

#6-:2xx3 = (6-:2)xx3 = 3xx3 = 9#