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Published byHazel Christ Modified over 2 years ago

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Training Objective: students will be able to evaluate expressions using the order of operations.

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33? The Order of Operations ensures that we all arrive at the same destination by ordering us what to do next.

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Order of Operations P arentheses () [] E xponents x 2, M ultiplication and D ivision (left to right) A ddition and S ubtraction (left to right)

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Evaluate = (2 x 5 = 10, multiplication) = 27 (37 – 10 = 27, subtraction)

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Evaluate 30 ÷ = (30 ÷ 6 = 5, division) = (4 7 = 28, multiplication) = 33 ( = 33, addition)

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Evaluate (28 – 12) ÷ = 16 ÷ (parentheses) = 16 ÷ (exponents) = (division) = (multiplication) = 54 (addition)

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Evaluate (6 + 1) 4 = (parentheses) = (exponents) = (multiplication) = (multiplication) = (subtraction) = (addition) = 130 (addition)

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The parentheses in this equation serve a vital function: (8 - 3) + 7 = 12 TrueFalse

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The parentheses in this equation serve a vital function: (2 + 4) 2 = 12 TrueFalse

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The parentheses in this equation serve a vital function: 10 8 – (5 + 3) = 72 TrueFalse

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The parentheses in this equation serve a vital function: [(2 3 ) 3] ÷ 6 = 4 TrueFalse

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To evaluate an expression with variables, first plug in the value of each variable. Next, evaluate the expression using the order of operations.

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Evaluate n + (13 - n) 5 for n = 8 = 8 + (13 – 8) 5 (plug in) = (parentheses) = (division) = 9 (addition)

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Evaluate 8y – (2x 2 + 6z) for x = 5, y = 7, z =1 = 8 5 – ( ) (plug in)

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Evaluate 8y – (2x 2 + 6z) for x = 5, y = 7, z =1 = 8 7 – ( ) (plug in) = 8 7 – ( )(parentheses/exponents) = 8 7 – ( )(parentheses/multiplication) = 8 7 – (50 + 6)(parentheses/multiplication) = 8 7 – 56(parentheses/addition) = 56 – 56(multiplication) = 0(subtraction)

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,375

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You are now ready to evaluate expressions using the order of operations.

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Training Objective: Graduates will be able to evaluate expressions involving multiple grouping brackets.

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[16÷(9 - 1) + 4] ÷ Thirty six

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[8 x ( ) – ] ÷ x 10 – ÷ 3 Twenty Four

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[(92 – ( ) ÷ 6 – 1) ÷ ( – 2)] ÷ 6 – – 2 81 ÷ 27 5 Two Hundred Forty Three

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Evaluate the following expression [70 – ( ( ) ÷ 5) ÷ 9]

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[70 – ( (1 + 49) ÷ 5) ÷ 9] [70 – ( ÷ 5) ÷ 9] ÷ [70 – ( ÷ 5) ÷ 9] ÷ [70 – ( ) ÷ 9] ÷ [70 – 63 ÷ 9] ÷ [70 – 7] ÷ ÷ Evaluate the following expression: [70 – ( ( ) ÷ 5) ÷ 9]

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