How do you simplify # 6÷2(1+2)# using PEMDAS?
#6-:2(1+2) = 9#
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:
Secondly, note that the PEMDAS mnemonic does not give greater priority to multiplication over division. It actually expands out as:
P for Parentheses
E for Exponents
MD for Multiplication and Division (left to right)
AS for 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#