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

## Presentation on theme: "Training Objective: students will be able to evaluate expressions using the order of operations."— Presentation transcript:

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

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

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)

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

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

Evaluate (28 – 12) ÷ 4 + 2 5 2 = 16 ÷ 4 + 2 5 2 (parentheses) = 16 ÷ 4 + 2 25 (exponents) = 4 + 2 25 (division) = 4 + 50 (multiplication) = 54 (addition)

Evaluate 20 - 3 6 + 10 2 + (6 + 1) 4 = 20 - 3 6 + 10 2 + 7 4 (parentheses) = 20 - 3 6 + 100 + 7 4 (exponents) = 20 - 18 + 100 + 7 4 (multiplication) = 20 - 18 + 100 + 28 (multiplication) = 2 + 100 + 28 (subtraction) = 102 + 28 (addition) = 130 (addition)

1. 2 2. -7 3. 12 4. 98

1. 72 2. 36 3. 12 4. 0

1. -10 2. 55 3. 80 4. 232

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

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

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

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

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

Evaluate n + (13 - n) 5 for n = 8 = 8 + (13 – 8) 5 (plug in) = 8 + 5 5 (parentheses) = 8 + 1 (division) = 9 (addition)

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

Evaluate 8y – (2x 2 + 6z) for x = 5, y = 7, z =1 = 8 7 – (2 5 2 + 6 1) (plug in) = 8 7 – (2 25 + 6 1)(parentheses/exponents) = 8 7 – (50 + 6 1)(parentheses/multiplication) = 8 7 – (50 + 6)(parentheses/multiplication) = 8 7 – 56(parentheses/addition) = 56 – 56(multiplication) = 0(subtraction)

1. -2 2. 2 3. 4 4. 16

1. -62 2. -42 3. 42 4. 62

1. 45 2. 90 3. 135 4. 3,375

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

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

[16÷(9 - 1) + 4] 2 9 - 1 16 ÷ 8 + 4 2 Thirty six

[8 x (77 - 67) – 18 + 10] ÷ 3 77 - 67 8 x 10 – 18 + 10÷ 3 Twenty Four

[(92 – (31 + 29) ÷ 6 – 1) ÷ (20 + 3 2 – 2)] 5 31 + 29 92 - 60 ÷ 6 – 120 + 3 2 – 2 81 ÷ 27 5 Two Hundred Forty Three

Evaluate the following expression [70 – (43 + 2 (1 + 7 2 ) ÷ 5) ÷ 9] 3 + 2 34

[70 – (43 + 2 (1 + 49) ÷ 5) ÷ 9] 3 + 2 34 [70 – (43 + 2 50 ÷ 5) ÷ 9] ÷ 3 + 2 34 [70 – (43 + 100 ÷ 5) ÷ 9] ÷ 3 + 2 34 [70 – (43 + 20) ÷ 9] ÷ 3 + 2 34 [70 – 63 ÷ 9] ÷ 3 + 2 34 [70 – 7] ÷ 3 + 2 34 63 ÷ 3 + 2 34 21 + 2 34 21 + 68 89 Evaluate the following expression: [70 – (43 + 2 (1 + 7 2 ) ÷ 5) ÷ 9] 3 + 2 34

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

Similar presentations