Ive been having this question for a while "what do you use first PEMDAS or Order of Operations". Well you might say it doesn't matter because a problem like this 5(3+8)=x if you use PEMDAS u first add the eight and the three and you would get eleven then you times the eleven with the five to get fifty five. So x=55. If you use Order of Operations you would multiply the three and eight by five to get 15+40=x you would add the fifteen and the forty to get fifty five making x=55. But if you took the problem {3(525/4π)}^1/3=R

then its a different situation heres the problem solved with PEMDAS.

{3(525/4π)}^1/3

{3(525/12.57)}^1/3

{3•41.77}^1/3

125.30^1/3=4.90

R=4.90

Now this is a step by step explanation on how to do order of operations.

{3(525/4π)}^1/3

(1575/12•9.40)^1/3

(1575/112.80)^1/3

13.90^1/3=2.30

R=2.30

So as you see these two equations have different answers. Now agin which of the two of them do i use Order of Operations or PEMDAS.

Please give a step by step explanation why i should use either or. All these problems were rounded to the nearest hundredth.

Order of Operations was aught at a younger age for those just grasping the idea of multiplication and division. Exposing PEMDAS at a young age would confuse them too much, hence the order of operation groups, addition/subtraction and multiplication/division. So for the second example problem, PEMDAS would be correct because it does involve you to use parentheses as well as exponents to solve for. Very easy to mix up between order of operations and PEMDAS, but just look at it as if Order of operations is a beginner level of PEMDAS.

Step-by-step explanation: