Order of Operations

1
Order of Operations
2
Definition

• The order in which mathematicians perform math
  problems.

• Parenthesis working inward outward
• Exponents
• Multiply or Divide Left to Right
• Add or Subtract Left to Right

3
Mnemonic

• Please
• Parenthesis
• Excuse
• Exponents
• My Dear
• Multiply or Divide Left to Right
• Aunt Sally
• Add or Subtract Left to Right

4
Example 1

• 2 x 3 - (4-2) 32

5

• 2 x 3 - (4-2) 32

Parenthesis
2 x 3 - 2 32
Exponents
2 x 3 - 2 9
Multiply
6 - 2 9
Add or Subtract Left to Right
4 9
13
6
Example 2
4 X 6 (3 4) 22
7

• 4 X 6 (3 4) 22

Parenthesis
4 x 6 - 7 22
Exponents
4 X 6 7 4
Multiply
24 7 4
Add or Subtract Left to Right
17 4
21
8
Practice Problems

• 3 5 x 7

Answer

• (1 3) x (8 - 4)

Answer

• 6 - 6 (7 - 0) - 7

Answer

• 4 - 3 (5 - 1) - 3

Answer

• 3 9 x 8 62

Answer

• 24 / 6 x 2 x 2 / 4

Answer

• 23 x (4(6 x 3-8)) x2

Answer
9
Resources

• Math Goodies
• http//www.mathgoodies.com/lessons/vol7/order_oper
  ations.html
• Amby.com
• http//amby.com/educate/ord-op/
• The World of Math Online
• http//www.math.com/school/subject2/lessons/S2U1L2
  GL.html
• Fun Brain
• http//www.funbrain.com/algebra/index.html
• Dositey Mystery Game
• http//www.dositey.com/math/m/mystery2SMA.htm
• Aplus Math Flash Cards
• http//www.aplusmath.com/cgi-bin/Flashcards/Order_
  Of_Operations
• AAA Math.com
• http//www.aaamath.com/pro73c-order-of-operations.
  html

10

• 3 5 x 7
• 3 35
• 38

Back
11

• (1 3) x (8 - 4)
• 4 x (8 4)
• 4 x 4
• 16

Back
12

• 6 - 6 (7 - 0) 7
• 6 6 7 - 7
• 0 7 7
• 7 7
• 0

Back
13

• 4 - 3 (5 - 1) 3
• 4 3 4 -3
• 1 4 3
• 5 3
• 2

Back
14

• 3 9 x 8 62
• 3 9 X 8 36
• 3 72 36
• 75 36
• 39

Back
15

• 24 / 6 x 2 x 2 / 4
• 4 x 2 x 2
• 8 x 2
• 16

Back
16

• 23 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

Back