Objective Apply the algebraic order of operations. Algebraic Order of Operations Page 18

Objective

• Apply the algebraic order of operations.

Algebraic Order of Operations

Page 18

Glossary Terms

algebraic order of operations - rules for computation to avoid errors and understanding

inclusion symbols – parentheses ( ), brackets [ ], and braces { }. Used to group numbers and variables as a single quantity.

Rules and Properties

The Algebraic Order of Operations

1. Perform all operations within grouping symbols from innermost outward.

2. Perform all operations with exponents.

3. Perform all multiplications and divisions in order from left to right.

4. Perform all additions and subtractions in order from left to right.

Use the order of Operations to simplify the following

3 – 12 ÷ 4

3 – 3

0

6² ÷ 4 · 3

36 ÷ 4 · 3

9 · 3

27(8 · 7+ 2) + (3 · 2 – 2 ·2)

(56 + 2) + (6 – 4)

58 + 2

60

Use the order of operations to 3valuate 5x² + 7y when x is 3

and y is 2

5(3)² + 7(2)

5 · 9 + 14

45 + 14

59

Evaluate 2 {2 [2 (3) +1] +1} + 1

2 {2 [2 (3) +1] + 1} + 1

2 {2 [6 + 1] + 1} + 1

2 {2 [7] + 1} + 1

2 {14 + 1} + 1

2{15} + 1

30 + 1

31

Algebraic Order of Operations• Please Parentheses

• Excuse Exponents

• My Multiplication

• Dear Division

• Aunt Addition

• Sally Subtraction

Key SkillsUse the algebraic order of operations to find the value of expressions.

2. operations with exponents 3(5) – 42 ÷ 8 + 1

3. multiplication and division 3(5) – 16 ÷ 8 + 1

4. addition and subtraction 15 – 2 + 1 = 14

1. operations withingrouping symbols 3(8 – 3) – 42 ÷ 8 + 1

TOC

Assignment

• Page 21 – 23

· #18 – 40 even, 48 – 54 even, 68, 70 - 74