Transcript Order of Operations

Order of Operations
Definition
 The order in which mathematicians
perform math problems.
a)
b)
c)
d)
Parenthesis – working inward outward
Exponents
Multiply or Divide – Left to Right
Add or Subtract – Left to Right
Mnemonic
•
Please
•
•
Excuse
•
•
Exponents
My Dear
•
•
Parenthesis
Multiply or Divide – Left to Right
Aunt Sally
•
Add or Subtract – Left to Right
Example 1:
2 x 3 - (4-2) + 32
Multiplication
Parenthesis
Subtraction
Exponents
Addition
2 x 3 - (4-2) + 32
Parenthesis
2 x 3 - 2 + 32
Exponents
2x3-2+9
Multiply
6-2+9
Add or Subtract – Left to Right
4+9
13
Example 2:
4 X 6 – (3 + 4) + 22
Multiplication
Parenthesis
Subtraction
Exponents
Addition
4 X 6 – (3 + 4) + 22
Parenthesis
4 x 6 - 7 + 22
Exponents
4X6–7+4
Multiply
24 – 7 + 4
Add or Subtract – Left to Right
17 + 4
21
Practice Problems
1. 3 + 5 x 7
Answer
2. (1 + 3) x (8 - 4)
Answer
3. 6 - 6 + (7 - 0) - 7
Answer
4. 4 - 3 + (5 - 1) - 3
Answer
5. 3 + 9 x 8 – 62
Answer
6. 24 / 6 x 2 x 2 / 4
Answer
7. 2+3 x (4+(6 x 3-8)) x2
Answer
Resources

Math Goodies





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http://www.mathgoodies.com/lessons/vol7/order_operations.h
tml
Amby.com

http://amby.com/educate/ord-op/

http://www.math.com/school/subject2/lessons/S2U1L2GL.htm
l
The World of Math Online
Fun Brain

http://www.funbrain.com/algebra/index.html

http://www.dositey.com/math/m/mystery2SMA.htm

http://www.aplusmath.com/cgibin/Flashcards/Order_Of_Operations
Dositey – Mystery Game
Aplus Math – Flash Cards
AAA Math.com

http://www.aaamath.com/pro73c-order-of-operations.html
3+5x7
3 + 35
38
Back
(1 + 3) x (8 - 4)
4 x (8 – 4)
4x4
16
Back
6 - 6 + (7 - 0) – 7
6–6+7 -7
0+7–7
7–7
0
Back
4 - 3 + (5 - 1) – 3
4 – 3 + 4 -3
1+4–3
5–3
2
Back
3 + 9 x 8 – 62
3 + 9 X 8 – 36
3 + 72 – 36
75 – 36
39
Back
24 / 6 x 2 x 2 / 4
4x2x2/4
8x2/4
16 / 4
4
Back
2+3 x (4+(6 x 3-8)) x2
2 + 3 x (4 + (18 – 8)) x 2
2 + 3 x (4 + 10) x 2
2 + 3 x 14 x 2
2 + 42 x 2
2 + 84
86
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