Fundamental Order of Operations

1
(Fundamental) Order of Operations

• The order-
• Parenthesis
• Exponents
• Multiply
• Divide
• Add
• Subtract

2
A way to Remember

• PleaseParenthesis
• Excuse..Exponents
• My..Multiply
• Dear..Divide
• Aunt..Add
• Sally..Subtract
• PEMDAS

3
Example

• 3 22 x (4x3) 4 ____
• What do you do first?
• What do you do second?
• What do you do third?
• What do you do fourth?

4

• 1. The 1st thing to be done in any math problem
  is anything in grouping symbols.
• -grouping symbols include the following
• 1. ( ) parenthesis
• 2. brackets
• 3. braces

5
example 3 22 x (4x3) 4 ____

• do (4x3) first
• 12
• left with 3 22 x 12 4 ____

6
Exponents

• 2. The 2nd thing to be done in any math problem
  is Exponents
• Exponent 22 exponent
• 
  base
• said 2 to the 2nd power Exponential
  Form

7
22

• 22 means to multiply the base times itself the
  number of times given by the exponent
• (2, 2s multiplied together)
• 22 2 x 2 4

8
Special Exponents

• 32 -gt said 3 to the 2nd power
• or 3 squared
• 323x39
• 401
• Any number to the power of 0 is always 1

9
Multiply and Divide

• Go in order from left to right
• 34x12 4
• First do 4x1248
• 348 4
• Then you divide 48 412

10
Add and Subtract

• 31215
• Your answer is 15
• Now that wasnt so hard now was it!

11
Examples

• Try This on Your Own
• (52-6)6x2 4
• (52-6)
• 525x525
• 25-619 (always do everything in the
  parenthesis first)
• 196x2 4
• 6x212
• 1912 4
• 12 43
• 19322
• 22 is your answer!

12
More Examples

• Okay, lets try this one!
• (15 5)x92-(53 2)
• Looks a bit harder doesnt it.
• (15 5)3 and (53 2)4
• 3x92-4
• 3x927
• 272-4
• 27229
• 29-425
• Your answer is 25!