SOLUTION: For order of operations, what is the correct way to solve this problem? The answer key says 9, but I get 33. What is the correct way to do this problem and why? 36 ÷ 4(5-2)+ 6

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Question 223558: For order of operations, what is the correct way to solve this problem? The answer key says 9, but I get 33. What is the correct way to do this problem and why?
36 ÷ 4(5-2)+ 6
Found 2 solutions by drj, MathTherapy:
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
For order of operations, what is the correct way to solve this problem? The answer key says 9, but I get 33. What is the correct way to do this problem and why?

36 ÷ 4(5-2)+ 6

Step 1. Do the operation in the parenthesis

36 ÷ 4(3)+ 6

Step 2. Perform 36/4=9

Step 3. 9*3=27

Step 4. 27+6=33 I get the same answer as you!

I think how they got nine is as follows

36/12+6=9 But this is not correct as written. It should be written with an additional set of parenthesis given as follows:

36 ÷ (4(5-2))+ 6

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
For order of operations, what is the correct way to solve this problem? The answer key says 9, but I get 33. What is the correct way to do this problem and why?

36 ÷ 4(5 - 2) + 6

36 ÷ 4(3) + 6 ------ Working out expression in parentheses

36 ÷ 12 + 6 ----- Multiplying to get rid of parentheses

3 + 6 = highlight_green%289%29 ----- Applying PEMDAS (Division before addition)