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ORDER OF OPERATIONS Answer Key

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ORDER OF OPERATIONS
#1 Parentheses, brackets and _____ are grouping symbols. fraction bars
#2 Which operation is performed first: 4 + 3 X 5 multiplication
#3 Which operation is performed last: 10/5 - 3 division
#4 10 - 3 + 6 - 2 11
#5 (6 - 2to the 2nd power)(1 + 7) 16
EVALUATE ORDER OF OPERATIONS
#1 10 + 6 x 8 58
#2 11(8 + 3 to 2nd power) - 15 172
#3 x = 4, y = 12, z = 9: 3xy - 7 137
#4 x = 4, y = 12, z = 9: (y - x)to 2nd power + 14 78
#5 27 - 2 X 4 + 3: A)2to 2nd power X 8 - 10; B) (4 to 2nd power + 38) / 3; C) (5 + 3)to 2nd power - 4 A
WHAT OPERATION IS PERFORMED FIRST?
#1 9 + 7 / 2 division
#2 (12 + 6) / 6 addition
#3 6 + 8 / 2 division
#4 16 + 3 to 3rd power exponent
#5 5 to 2nd power - 12 + 2 exponent
WHAT OPERATION IS PERFORMED LAST?
#1 35 - 20 / 5 division
#2 (5 - 3)to 3rd power + 12 / 4 subtraction
#3 36 / 9 - 4 division
#4 (5 + 3)to 2nd power - 4 addition
#5 12 - 9 / 3 division
EVALUATE THE EXPRESSIONS
#1 2 x 11 / (14 - 3) 2
#2 32 / (11 - 9)to 3rd power - 1 3
#3 3 X 5 to 2nd power + 2 X 14 103
#4 (5 X 6)to 2nd power + 14 914
#5 4 X 6to2nd power - 5 + 3 X 14 181
Final Question
Which two expressions use the same operations in the same order: A) (8 - 2)to 2nd power / (8 + 4); B) 34 - 2to 2nd power / 3 + 7; C) (30 - 4to 2nd power) / (5 + 2) B and C