2. FOO (Fundamental Order of Operations)
Warm Up 9/30/15
September 30, 2015
SOLUTIONS:
Fundamental Order of Operations ­ F.O.O. !
Fundamental Order of Operations ­ F.O.O.
F.O.O. is needed so everyone gets the same answer when solving equations.
P arentheses (6 • 19)
E xponents 734
M ultiplication 16 • 5 D ivision 84 ÷ 12 A ddition 8 + 7 S ubtraction 56 ­ 34 From left to right, first come, first served. From left to right, first come, first served. We call this PEMDAS for short!
or
Please Excuse My Dear Aunt Sally
Example l
17 ­ (32 ÷ 4) • 5 ÷ 22 + 6
FOO Example 1 Completed PEMDAS
parentheses
17 ­ (32 ÷ 4) • 5 ÷ 22 + 6
17 ­ (32 ÷ 4) • 5 ÷ 22 + 6 = parentheses 17 ­ 8 • 5 ÷ 2 2 + 6 =
exponents exponents
17 ­ 8 • 5 ÷ 4 + 6 = multiplication
17 ­ 40 ÷ 4 + 6 = multiplication
division 17 ­ 10 + 6 = subtraction
division
7 + 6 = addition = 13 subtraction
addition
2. FOO (Fundamental Order of Operations)
September 30, 2015
Example 2
343 ÷ (4 + 3)2 ­ 2
FOO Example 2 Completed PEMDAS
parentheses
exponents
343 ÷ (7)2 ­ 2 =
exponents none = multiplication
343 ÷ (4 + 3)2 ­ 2
343 ÷ (4 + 3)2 ­ 2 = parentheses multiplication
343 ÷ 49 ­ 2
= division 7 ­ 2 = subtraction
division
none = addition = 5 subtraction
addition
Example 3
6 • 5 ÷ 30 + (47 ­ 4) ­ 62
FOO Example 3 Completed PEMDAS
parentheses
exponents
6 • 5 ÷ 30 + (47 ­ 4) ­ 62
6 • 5 ÷ 30 + (47 ­ 4) ­ 62 = parentheses 6 • 5 ÷ 30 + (43) ­ 62 = exponents 6 • 5 ÷ 30 + (43) ­ 36 = multiplication
multiplication
30 ÷ 30 + (43) ­ 36= division 1 + (43) ­ 36= addition
division
44 ­ 36= subtraction
subtraction
addition
= 8 2. FOO (Fundamental Order of Operations)
Example with multiple of same operations Do each operation one at a time, not combined. 1. 6­3+8 4+9 6­7 Brackets
September 30, 2015
Two sets of parentheses raised to exponents
3. (2 5) 2 + (3+4) 2 ­ 10