warm up 9/30/15 - livingston.org. foo (fundamental order of operations) september 30, 2015 warm up...
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2. FOO (Fundamental Order of Operations) September 30, 2015
Warm Up 9/30/15 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
We call this PEMDAS for short!
or Please Excuse My Dear Aunt Sally
From left to right, first come, first served.
From left to right, first come, first served.
17 (32 ÷ 4) • 5 ÷ 22 + 6
exponents
parentheses
multiplication
division
subtraction
Example l
addition
FOO Example 1 Completed PEMDAS
17 (32 ÷ 4) • 5 ÷ 22 + 6 17 (32 ÷ 4) • 5 ÷ 22 + 6 = parentheses
17 8 • 5 ÷ 22 + 6 = exponents
17 8 • 5 ÷ 4 + 6 = multiplication
17 40 ÷ 4 + 6 = division
17 10 + 6 = subtraction
7 + 6 = addition
= 13
2. FOO (Fundamental Order of Operations) September 30, 2015
343 ÷ (4 + 3)2 2
exponents
parentheses
multiplication
division
subtraction
Example 2
addition
FOO Example 2 Completed PEMDAS
343 ÷ (4 + 3)2 2 343 ÷ (4 + 3)2 2 = parentheses
343 ÷ (7)2 2 = exponents
none = multiplication
343 ÷ 49 2 = division
7 2 = subtraction
none = addition
= 5
6 • 5 ÷ 30 + (47 4) 62
exponents
parentheses
multiplication
division
subtraction
Example 3
addition
FOO Example 3 Completed PEMDAS
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
30 ÷ 30 + (43) 36= division
1 + (43) 36= addition
44 36= subtraction
= 8
2. FOO (Fundamental Order of Operations) September 30, 2015
Example with multiple of same operations Do each operation one at a time, not combined.
1. 63+8 4+9 67 3. (2 5)2 + (3+4)2 10
Two sets of parentheses raised to exponents
Brackets