@chaski Said
No, we don't.
PEDMAS and BODMAP are exactly the same thing.
That is actually the point.
In Mathematics there is an order of operations...you can change the words to suit your "language" desires, but the order of operations remains the same.
Regardless... if you use PEDMAS or BODMAP you get the same answer... in this case 16.
If I am wrong, please write out the equations in PEDMAS and in BODMAP and demonstrate how the answer is different.
P E M D A S
For 8 ÷ 2(2+2):
P .... (2+2)=4
E
M .... 2(4)=8
D ..... 8÷8=1
A
S
B O D M A S
For 8 ÷ 2(2+2):
B .... (2+2)=4
O
D ..... 8÷2=4
M ... 4(4)=16
A
S
@chaski Said
P > Parentheses first
E > Exponents (ie Powers and Square Roots, etc.)
MD > Multiplication and Division (left-to-right)
AS > Addition and Subtraction (left-to-right)
So…. 8÷2(2+2)=
P >>> 8÷2(2+2) = 8÷2(4)= (doing what is in the parentheses 1st)
E >>> NA in this equation
MD >>>8÷2(4) = 4(4) (working the equation left to right)
AS >>> NA in this equation
So… what is 4(4)?
4x4=16
OR
B > Brackets first
O > Orders (i.e. Powers and Square Roots, etc.)
DM > Division and Multiplication (left-to-right)
AS > Addition and Subtraction (left-to-right)
So…. 8÷2(2+2)=
B >>> 8÷2(2+2) = 8÷2(4)= (doing what is in the brackets 1st)
O >>> NA in this equation
DM >>>8÷2(4) = 4(4) (working the equation left to right)
AS >>> NA in this equation
So… what is 4(4)?
4x4=16
This is astonishingly simple and straight forward.
Yes. If you know to pair M&D, like you did above. And A&S. And D&M. And know to go left and right with those and do whichever one occurs first between the two in a pair when doing so (hence “or”).
Problem is, 90% of the world is not as literate in math as you are and all these hidden rules do not make for common sense unless they are also specifically spelled out in the acronym like the letters are. So when a colorful acronym is remembered, that is LITERALLY all they remember, the letters, not these other rules, and simply go in order of the letters ONE BY ONE, as I illustrated above, instead of also remembering that their math teacher told them 40 years ago that D&M goes together and A&D goes together.but P is on its own and E is on its own, etc, etc.
Your answer is correct. I am not disputing that. I am just pointing out why half the internet is disagreeing with you and coming up with 1 as the answer when using PEMDAS.