Can someone explain how to do this?

Question

Make up four arithmetic expressions where you use PEMDAS rule to simplify the expression. Simplify the same expression using the reverse order of operations SADMEP. What is the difference between the earlier answer and the answer with the reverse order?

Answer 1

Here's an example...

2^3 x (3 - 6) + 3 x 4 - 12

If you do it right using PEMDAS....
2^3 x (3 - 6) + 3 x 4 - 12
= 8 x (-3) + 3 x 4 - 12
= -24 + 12 - 12
= -24

If you do it wrong using SADMEP....
2^3 x (3 - 6) + 3 x 4 - 12
= 2^3 x (3 - 6) + 3 x (-8)
= 2^3 x (3 - 6) + -24
= 2^3 x (-3) + -24
= 2^3 x -27
= 8 x -27
= -216

Answer 2

(3+5)^2-10*3+4
PEMDAS
(8)^2-10*3+4
64-10*3+4
64-30+4
34+4
38

(3+5)^2-10*3+4
(3+5)^2-10*12
(8)^2-120
64-120
-56

Using PEMDAS is made for the order of operations in order to get the correct answer if you work each section seperately. For example, if you had 3+4*5 you should get 3+20 = 23 instead of 7*5 which is 35.

Answer 3

Follow the oder of operation PEDMAS to obtain the correct answer.

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