# How do you simplify #48÷2(9+3) # using PEMDAS?

##### 1 Answer

#### Explanation:

This is a trick question.

If you apply PEMDAS strictly with no embellishments then the answer is

PEMDAS is a mnemonic for the following conventions of order of operations:

PParentheses.

EExponents.

MDMultiplication and Division - evaluated left to right.

ASAddition and Subtraction - evaluated left to right.

Note that multiplication and division have the same priority and addition and subtraction have the same priority.

So in our example:

#48-:2(9+3)=48-:2*12=24*12=288#

The nasty thing with this example is that the multiplication by juxtaposition of the

In fact PEMDAS does not distinguish between this multiplication by juxtaposition and any other multiplication, so it will be evaluated at the same level of priority as the division, left to right.

If the writer of the original expression wanted to be clear they should have added parentheses.