Sunday, July 24, 2011

1510 - Order of Operations




Problem:   Evaluate the following arithmetic expression:
3 + 4 x 2
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Solution:  
Student 1 Student 2
3 + 4 x 2 3 + 4 x 2
= 7 x 2 = 3 + 8
= 14 = 11

When two students look at a problem differently, they can come up with two different answers.
The 1st student added first and then multiplied, the 2cnd student multiplied first and then added.
When we do a math problem, we can only have one right answer. Mathematicians have created a standard order of operations for math problems involving more than one arithmetic operation.
P.E.M.D.A.S.
Parenthesis | Exponents | Multiplication | Division | Addition | Subtraction
  1. Perform the operations inside a parenthesis first
  2. Then exponents
  3. Then multiplication and division, from left to right
  4. Then addition and subtraction, from left to right

 Student #2 has the correct answer because she followed the order of operations.


I usually find information that pertains more to the elementary age student, but had to share this video of perhaps the coolest middle school math teacher ever.

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