# Lesson 1.2 - Order of Operations

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By: Welshanty (133 month(s) ago)

It's a wonderful presentaiton for the lesson order of operations

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### 1.2 Exponents and Order of Operations :

1.2 Exponents and Order of Operations

### Vocabulary :

Simplify: Replace a numerical expression with its simplest name Is 32 – 5 simplified? Exponent: Tells how many times you multiply the base by itself 32 Base: The number being multiplied in a given power 32 Power: The term for the base and exponent, combined 32 Vocabulary

### Order of Operations :

P: Parentheses or grouping symbols ( , [ , { E: Exponents M: Multiplication ? D: Division ? , ? , / A: Addition + S: Subtraction - Order of Operations

### 1. Simplifying a Numerical Expression :

25 – 7 ? 5 + 32 = 25 – 7 ? 5 + 9 = 25 – 35 + 9 = -10 + 9 = -1 1. Simplifying a Numerical Expression X ? X ? ? ?

### 1. Simplifying a Numerical Expression :

b) 7 – 12 + 4 = -5 + 4 = -1 1. Simplifying a Numerical Expression X X X X ? ?

### 1. Simplifying a Numerical Expression :

c) 3 ? 4 ? 6 = 12 ? 6 = 2 1. Simplifying a Numerical Expression X X ? ? X X

### 2. Evaluating Algebraic Expressions :

a) 2x + 17 – 3 where x=2 = 2(2) + 17 – 3 Remember PEMDAS when simplifying = 4 + 17 – 3 = 21 – 3 = 18 d + e – u where d=2, e=1, and u=17 = (2) + (1) – (17) Again, follow PEMDAS = 3 – 17 = -14 2. Evaluating Algebraic Expressions

### 2. Evaluating Algebraic Expressions :

c) 40 – d2 + cd ? 3 where c=2 and d = 5 = 40 – (5) 2 + (2)(5) ? 3 = 40 – 25 + (2)(5) ? 3 = 40 – 25 + 30 = 15 + 30 = 45 2. Evaluating Algebraic Expressions

### 3. Real World Application :

A poster states that a pair of shoes are on sale for \$59.00. If the sales tax is 6%, what is the total cost of the shoes? Use the formula c = p + rp C: total cost P: price of the shoes R: sales tax rate C = (59.00) + (0.06)(59.00) C = 59 + 3.54 C = \$62.54 The total cost of the shoes, including sales tax, will be \$62.54. 3. Real World Application

### 4. Simplifying More Expressions :

a) 15(12-6) ? (3+3) If it helps, make a PEMDAS box = 15(6) ? (6) *We now work from left to right = 90 ? (6) = 15 b) (5+4) ? (7 – 3) If it helps, make a PEMDAS box = (9) ? (4) = 36 4. Simplifying More Expressions

### 5. Evaluate :

a) (xy) where x=3 and y=4 = (3? 4) * Use PEMDAS to simplify = 12 y2 + 5 where y = 5 = (5) 2 + 5 * Use PEMDAS to simplify = 25 + 5 = 30 5. Evaluate

### 5. Evaluate :

c) [2+(x – 1)] – (x)2 ? 8 where x = 3 = [2+(3 – 1)] – (3)2 ? 8 *Use PEMDAS to simplify = [2+(2)] – (3)2 ? 8 = 4 - (3)2 ? 8 = 4 – 9 ? 8 = 4 – 72 = -68 5. Evaluate 