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Order of Operations 1.What is the correct order of operations? a) Addition and subtraction, multiplication and division, exponents, and parentheses. b) Multiplication and division, addition and subtraction, parentheses, and exponents. c) Parentheses, exponents, addition and subtraction, multiplication and division. d) Parentheses, exponents, multiplication and division, addition and subtraction. 2.What does the order of operations tell you? a) How to perform mathematical operations b) How to solve problems with exponents. c) The order in which complicated equations should be solved. d) How many operations to perform. 3.In the problems (5 x 8) + 3 2 (7), which step should you perform last? a) Elevate three to the second powerc) Multiply five times eight b) Multiply nine times sevend) Add 40 to 63 Explain: O O O (5 x 8) + 3 2 (7) (Parentheses) → 40 + 3 2 (7) (Exponents) → 40 + 9(7) (Multiplication) →40 + 63 (Addition) →103

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4.What is the solution to 3 + 3(0) = ? a) 9b) 0c) 3d) 6 5.What step comes first to solve 18 ÷ 2 – 5 + 7 – 12? a) 7 -12b) 2 – 5c) 18 ÷ 2d) 5 + 7 6In the following problem, which step should you perform first? (5 x 4) + 3 2 - 2 a) Subtract two from ninec) Elevate three to the power of two b) Subtract two from threed) Multiply five times four What is the solution to (2 – 1)(4 – 2) + 9? a) 7b) 12c) 9d) 11 O Explain: 3 + 3(0) (Multiplication) → 3 + 0 (Addition) → 3 Explain: 18 ÷ 2 – 5 + 7 – 12 (Division) →9 – 5 + 7 – 12 (Add. & Sub. from L to R) → 4 + 7 – 12 (Add. & Sub. from L to R) → 11 – 12 (Add. & Sub. from L to R) → –1–1 O Explain: (5 x 4) + 3 2 – 2 (Parentheses) →20 + 3 2 – 2 (Exponents) → 20 + 9 – 2 (Add. & Sub. from L to R) →29 – 2 (Add. & Sub. from L to R) → 27 O Explain: (2 - 1)(4 – 2) + 9 (Parentheses) → (1)(2) + 9 (Multiplication) → 2 + 9 (Add. & Sub. from L to R) → 11 O

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8. In the problem 8 3 - 10 x 5 - 4, which step should you perform first? a) Subtract ten from eightc) Multiply ten times five b) Subtract four from fived) Elevate eight to the power of three 9.What is the solution to (4 ÷ 2)4 + (1 + 3)? a) 2b) 12c) 8d) 14 10.Solve the following problem: (2 2 + 8) x 7 a) 36b) 60c) 84d) 107 11.3 + 6 x (5 + 4) ÷ 3 - 7 a) 20b) 14c) 53(d) 5 O Explain: 8 3 – 10 x 5 – 4 (Exponents) →512 – 10 x 5 – 4 (Multiplication) → 512 – 50 – 4 (Add. & Sub. from L to R) →462 – 4 (Add. & Sub. from L to R) → 458 Explain: (4 ÷ 2)4 + (1 + 3) (Parentheses) →(2)4 + 4 (Multiplication) → 8 + 4 (Add. & Sub. from L to R) → 12 O Explain: (2 2 + 8) x 7 (Parentheses, Exponents) → (4 + 8) x 7 (Parentheses) → 12 x 7 (Multiplication) → 84 O Explain: 3 + 6 x (5 + 4) ÷ 3 – 7 (Parentheses) → 3 + 6 x 9 ÷ 3 – 7 (Multi. & Div. from L to R) →3 + 54 ÷ 3 – 7 (Division) → 3 + 18 – 7 (Add. & Sub. from L to R) → 21 – 7 (Sub.)→ 14 O

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12.9 - 5 ÷ (8 - 3) x 2 + 6 a)9b) 12c) 10.5d) 13 13.150 ÷ (6 + 3 x 8) - 5 a)83b) 0c) 2d) 12.5 14.9 + 6 x (8 - 5) a)45b) 27c) 115d) 52 15.(14 – 5) ÷ (9 – 6) a) -5 b) 12c) 3d) 2 O Explain: 9 – 5 ÷ (8 – 3 ) x 2 + 6 (Parentheses) → 9 – 5 ÷ 5 x 2 + 6 (Multi. & Div. from L to R) → 9 – 1 x 2 + 6 (Multi. & Div. from L to R) → 9 – 2 + 6 (Add. & Sub. from L to R) → 7 + 6 (Add.)→ 13 Explain: 150 ÷ (6 + 3 x 8) – 5 (Parentheses) → 150 ÷ (6 + 24) – 5 (Parentheses) → 150 ÷ 30 – 5 (Multi & Div. from L to R) →5 – 5 (Sub.) → 0 O Explain: 9 + 6 x (8 – 5) (Parentheses) → 9 + 6 x 3 (Multiplication) → 9 + 18 (Add.) →27 O Explain: (14 – 5) ÷ (9 – 6) (Parentheses) →9 ÷ 3 (Div.) →3 O

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16.5 x 8 + 6 ÷ 6 - 12 x 2 a)58b) 17c) 34d) 128 17. 8 + (2 x 5) x 3 2 ÷ 9 a)50b) 108c) 34d) 18 18.15 x 2 2 + 150 a)1050b) 2310c) 210d) 180 Explain: 5 x 8 + 6 ÷ 6 – 12 x 2 (Multi. & Div. from L to R) → 40 + 1 – 24 (Add. & Sub. from L to R) → 41 – 24 (Sub.) →17 O Explain: 8 + (2 x 5) x 3 2 ÷ 9 (Parentheses) →8 + 10 x 3 2 ÷ 9 (Exponents) → 8 + 10 x 9 ÷ 9 (Multi. & Div. from L to R) → 8 + 90 ÷ 9(Division) → 8 + 10 (Addition) → 18 O Explain: 15 x 2 2 + 150 (Exponents) → 15 x 4 + 150 (Multiplication) → 60 + 150 (Addition) → 210 O

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19. 3 x (5 + 3) 2 – 144 a) 180b) -102c) 48d) -120 20.9 + 3 x 2 2 ÷ 3 a) 16b) 13c) 11d) 7 Explain: 3 x (5 + 3) 2 - 144 (Parentheses) → 3 x 8 2 - 144 (Exponents) → 3 x 64 - 144 (Multiplication) → 192 - 144 (Subtraction) → 48 O Explain: 9 + 3 x 2 2 ÷ 3 (Exponents) →9 + 3 x 4 ÷ 3 (Multi. & Div. from L to R) → 9 + 12 ÷ 3 (Division) → 9 + 4 (Addition) → 13 O

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Parentheses first. In equations, you solve problems in parentheses before anything else.

Parentheses first. In equations, you solve problems in parentheses before anything else.

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